@phdthesis{Anneser2020,
  author    = {Anneser, Katrin},
  title     = {Elektrochemische Doppelschichtkondensatoren zur Stabilisierung fluktuierender photovoltaischer Leistung},
  doi       = {10.25972/OPUS-19933},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-199339},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2020},
  abstract  = {Der Ausbau der regenerativen Energiequellen f{\"u}hrt vermehrt zu unvorhersehbaren Schwankungen der erzeugten Leistung, da Windkraft und Photovoltaik von nat{\"u}rlichen Bedingungen abh{\"a}ngen. Gerade Kurzzeitfluktuationen im Sekunden- bis Minutenbereich, die bei Solarzellen durch die Verschattung von vor{\"u}berziehenden Wolken zustande kommen, wird bislang wenig Beachtung geschenkt. Kurzzeitspeicher m{\"u}ssen eine hohe Zyklenstabilit{\"a}t aufweisen, um zur Gl{\"a}ttung dieser Leistungsfluktuationen in Frage zu kommen. Im Rahmen der vorliegenden Dissertation wurden elektrochemische Doppelschichtkondensatoren f{\"u}r die Kopplung mit Siliziumsolarzellen und organischen Solarmodulen mit Hilfe von Simulationen und Messungen untersucht. Zus{\"a}tzlich wurden grundlegende Fragestellungen zur Prozessierung und Alterung von Doppelschichtkondensatoren im Hinblick auf ein in der Literatur bereits diskutiertes System betrachtet, das beide Komponenten in einem Bauteil integriert - den sogenannten photocapacitor. Um die Druckbarkeit des gesamten elektrochemischen Doppelschichtkondensators zu erm{\"o}glichen, wurde der konventionell verwendete Fl{\"u}ssigelektrolyt durch einen Polymer-Gel-Elektrolyten auf Basis von Polyvinylalkohol und einer S{\"a}ure ersetzt. Durch eine Verbesserung der Prozessierung konnte ein gr{\"o}ßerer Anteil der spezifischen Fl{\"a}che der por{\"o}sen Kohlenstoffelektroden vom Elektrolyten benetzt und somit zur Speicherung genutzt werden. Die Untersuchungen zeigen, dass mit Polymer-Gel-Elektrolyten {\"a}hnliche Kapazit{\"a}ten erreicht werden wie mit Fl{\"u}ssigelektrolyten. Im Hinblick auf die Anwendung im gekoppelten System muss der elektrochemische Doppelschichtkondensator den gleichen Umweltbedingungen hinsichtlich Temperatur und Luftfeuchte standhalten wie die Solarzelle. Hierzu wurden umfangreiche Alterungstests durchgef{\"u}hrt und festgestellt, dass die Kapazit{\"a}t zwar bei Austrocknung des wasserhaltigen Polymer-Gel-Elektrolyten sinkt, bei einer Wiederbefeuchtung aber auch eine Regeneration des Speichers erfolgt. Zur passenden Auslegung des elektrochemischen Doppelschichtkondensators wurde eine detaillierte Analyse der Leistungsfluktuationen durchgef{\"u}hrt, die mit einem eigens entwickelten MPP-Messger{\"a}t an organischen Solarmodulen gemessen wurden. Anhand der Daten wurde analysiert, welche Energiemengen f{\"u}r welche Zeit im Kurzzeitspeicher zwischengespeichert werden m{\"u}ssen, um eine effiziente Gl{\"a}ttung der ins Netz einzuspeisenden Leistung zu erreichen. Aus der Statistik der Fluktuationen wurde eine Kapazit{\"a}t berechnet, die als Richtwert in die Simulationen einging und dann mit anderen Kapazit{\"a}ten verglichen wurde. Neben einem idealen MPP-Tracking f{\"u}r verschiedene Arten von Solarzellen und Beleuchtungsprofilen konnte die Simulation auch die Kopplung aus Solarzelle und elektrochemischem Doppelschichtkondensator mit zwei verschiedenen Betriebsstrategien nachbilden. Zum einen wurde ein fester Lastwiderstand genutzt, zum anderen eine Zielspannung f{\"u}r den Kurzzeitspeicher und somit auch die Solarzelle vorgegeben und der Lastwiderstand variabel so angepasst, dass die Zielspannung gehalten wird. Beide Betriebsmethoden haben einen Energieverlust gegen{\"u}ber der MPP-getrackten Solarzelle zu verzeichnen, f{\"u}hren aber zu einer Gl{\"a}ttung der Leistung des gekoppelten Systems. Die Simulation konnte f{\"u}r Siliziumsolarzellen mit einem Demonstratorversuch im Labor und f{\"u}r organische Solarzellen unter realen Bedingungen validiert werden. Insgesamt ergibt sich eine vielversprechende Gl{\"a}ttung der Leistungsfluktuationen von Solarzellen durch den Einsatz von elektrochemischen Doppelschichtkondensatoren.},
  subject      = {Energie},
  language  = {de}
}
@phdthesis{Aufmkolk2018,
  author    = {Aufmkolk, Sarah},
  title     = {Super-Resolution Microscopy of Synaptic Proteins},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-151976},
  school      = {Universit{\"a}t W{\"u}rzburg},
  pages     = {X, 97},
  year      = {2018},
  abstract  = {The interaction of synaptic proteins orchestrate the function of one of the most complex organs, the brain. The multitude of molecular elements influencing neurological correlations makes imaging processes complicated since conventional fluorescence microscopy methods are unable to resolve structures beyond the diffraction-limit. The implementation of super-resolution fluorescence microscopy into the field of neuroscience allows the visualisation of the fine details of neural connectivity. The key element of my thesis is the super-resolution technique dSTORM (direct Stochastic Optical Reconstruction Microscopy) and its optimisation as a multi-colour approach. Capturing more than one target, I aim to unravel the distribution of synaptic proteins with nanometer precision and set them into a structural and quantitative context with one another. Therefore dSTORM specific protocols are optimized to serve the peculiarities of particular neural samples. In one project the brain derived neurotrophic factor (BDNF) is investigated in primary, hippocampal neurons. With a precision beyond 15 nm, preand post-synaptic sites can be identified by staining the active zone proteins bassoon and homer. As a result, hallmarks of mature synapses can be exhibited. The single molecule sensitivity of dSTORM enables the measurement of endogenous BDNF and locates BDNF granules aligned with glutamatergic pre-synapses. This data proofs that hippocampal neurons are capable of enriching BDNF within the mature glutamatergic pre-synapse, possibly influencing synaptic plasticity. The distribution of the metabotropic glutamate receptor mGlu4 is investigated in physiological brain slices enabling the analysis of the receptor in its natural environment. With dual-colour dSTORM, the spatial arrangement of the mGlu4 receptor in the pre-synaptic sites of parallel fibres in the molecular layer of the mouse cerebellum is visualized, as well as a four to six-fold increase in the density of the receptor in the active zone compared to the nearby environment. Prior functional measurements show that metabotropic glutamate receptors influence voltage-gated calcium channels and proteins that are involved in synaptic vesicle priming. Corresponding dSTORM data indeed suggests that a subset of the mGlu4 receptor is correlated with the voltage-gated calcium channel Cav2.1 on distances around 60 nm. These results are based on the improvement of the direct analysis of localisation data. Tools like coordinated based correlation analysis and nearest neighbour analysis of clusters centroids are used complementary to map protein connections of the synapse. Limits and possible improvements of these tools are discussed to foster the quantitative analysis of single molecule localisation microscopy data. Performing super-resolution microscopy on complex samples like brain slices benefits from a maximised field of view in combination with the visualisation of more than two targets to set the protein of interest in a cellular context. This challenge served as a motivation to establish a workflow for correlated structured illumination microscopy (SIM) and dSTORM. The development of the visualisation software coSIdSTORM promotes the combination of these powerful super-resolution techniques even on separated setups. As an example, synapses in the cerebellum that are affiliated to the parallel fibres and the dendrites of the Purkinje cells are identified by SIM and the protein bassoon of those pre-synapses is visualised threedimensionally with nanoscopic precision by dSTORM. In this work I placed emphasis on the improvement of multi-colour super-resolution imaging and its analysing tools to enable the investigation of synaptic proteins. The unravelling of the structural arrangement of investigated proteins supports the building of a synapse model and therefore helps to understand the relation between structure and function in neural transmission processes.},
  subject      = {Hochaufl{\"o}sende Mikroskopie},
  language  = {en}
}
@phdthesis{Weirauch2017,
  author    = {Weirauch, Katja},
  title     = {Neue Herausforderungen an die professionellen Kompetenzen von Chemie-Lehrkr{\"a}ften durch die Implementation von Seminarf{\"a}chern},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-151330},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2017},
  abstract  = {Neuerungen in Bildungssystemen k{\"o}nnen nur erfolgreich sein, wenn sie planm{\"a}ßig implementiert werden. Maßgeblich ist hierf{\"u}r, dass die Lehrkr{\"a}fte {\"u}ber die entsprechenden professionellen Kompetenzen verf{\"u}gen. Die vorliegende Arbeit untersucht diesen Zusammenhang am Beispiel der Implementation von Seminarf{\"a}chern im bayerischem Gymnasium. Es wird identifiziert, welche neuen Herausforderungen Chemie-Lehrkr{\"a}fte mit Einf{\"u}hrung der Wissenschaftsprop{\"a}deutischen (W-) und Projekt-Seminare (P-) bew{\"a}ltigen m{\"u}ssen. Aus Interviews mit Lehrkr{\"a}ften wurden per qualitativer Inhaltsanalyse nach Mayring die Anforderungen an das Professionswissen der Lehrkr{\"a}fte identifiziert. F{\"u}r die W-Seminare konnte dargestellt werden, dass eine erfolgreiche Wissenschaftsprop{\"a}deutik h{\"a}ufig an fehlendem Fachwissen der Lehrkr{\"a}fte zu Nature of Science Inquiry (NOSI) scheiterte. Analog fehlte den Lehrkr{\"a}ften in den P-Seminaren Fachwissen zu Projektmanagement, sodass sie dies weder umsetzten, noch erfolgreich vermitteln konnten. Um die Lehrkr{\"a}fte bei der Bew{\"a}ltigung der Herausforderungen zu unterst{\"u}tzen, wurden vielf{\"a}ltige M{\"o}glichkeiten der Kooperation von Seminarf{\"a}chern mit der Universit{\"a}t als externem Partner erprobt. Methodenwerkzeuge f{\"u}r eine systematische Wissenschaftsprop{\"a}deutik wurden entwickelt und im Rahmen von Lehrerfortbildungen weitergegeben. Weiterhin wurde ein Lehr-Lern-Labor „Analyseverfahren der Chemie" f{\"u}r W-Seminare konzipiert und wiederholt erfolgreich durchgef{\"u}hrt. Damit wurden Erkenntnisse der empirischen Studie in nachweislich praxistaugliche Konzepte umgesetzt, die die erfolgreiche Implementation der Seminarf{\"a}cher unterst{\"u}tzen k{\"o}nnen.},
  subject      = {Seminarfach},
  language  = {de}
}
@phdthesis{Munz2018,
  author    = {Munz, Eberhard},
  title     = {Physiological and metabolical high-resolution MRI of plants},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-172518},
  school      = {Universit{\"a}t W{\"u}rzburg},
  pages     = {177},
  year      = {2018},
  abstract  = {The noninvasive magnetic resonance imaging technique allows for the investigation of functional processes in the living plant. For this purpose during this work, different NMR imaging methods were further developed and applied. For the localisation of the intrusion of water into the germinating rape seed with the simultaneous depiction of the lipid-rich tissue via a 3D rendering, in Chap. 5 the technique of interleaved chemical selective acquisition of water and lipid was used in the germinating seed. The utilization of high-resolution MR images of germinated seeds enabled the localization of a predetermined water gap in the lipid-rich aleurone layer, which resides directly under the seed coat. The for a long time in biology prevalent discussion, whether such a gap exists or the seed soaks up the water from all sides, rather like a sponge, could hereby, at least for the rapeseed seed, be answered clearly. Furthermore, the segmentation and 3D visualization of the vascular tissue in the rapeseed seeds was enabled by the high-resolution datasets, a multiply branched structure preconstructed in the seed could be shown. The water is directed by the vascular tissue and thus awakens the seed gradually to life. This re-awakening could as well be tracked by means of invasive imaging via an oxygen sensor. In the re-awakened seeds, the lipid degradation starts, other than expected, not in the lipid-rich cotyledons but in the residual endosperm remaining from seed development and in the aleurone layer which previously protected the embryo. Within this layer, the degradation could be verified in the high-resolution MR datasets. The method presented in Chap. 6 provides a further characteristic trait for phenotyping of seeds and lipid containing plants in general. The visualization of the compounds of fatty acids in plant seeds and fruits could be achieved by the distinct utilization of chemical shift-selective imaging techniques. Via the application of a CSI sequence the fatty acid compounds in an olive were localized in a 2D slice. In conjunction with an individually adjusted CHESS presaturation module Haa85 the high-resolution 3D visualization of saturated and unsaturated fatty acid compounds in different seeds was achieved. The ratio maps calculated from these datasets allow to draw conclusions from the developmental stage or the type of seed. Furthermore, it could be shown that the storage condition of two soybean seeds with different storage time durations lead to no degradation of the fatty acid content. Additional structural information from inside of dry seeds are now accessible via MRI. In this work the imaging of cereal seeds could be significantly improved by the application of the UTE sequence. The hitherto existing depictions of the lipid distribution, acquired with the spin echo sequence, were always sufficient for examinations of the lipid content, yet defects in the starchy endosperm or differences in the starch concentration within the seed remained constantly unseen with this technique. In a direct comparison of the datasets acquired with the previous imaging technique (spin echo) and with UTE imaging, the advantage of data acquisition with UTE could be shown. By investigating the potential seed compounds (starch, proteins, sugar) in pure form, the constituent parts contributing to the signal could be identified as bound water (residual moisture) and starch. The application of a bi-exponential fit on the datasets of the barley seed enabled the separate mapping of magnetization and of relaxation time of two components contributing to the NMR signal. The direct comparison with histological stainings verified the previous results, thus this technique can be used for the selective imaging of starch in dry seeds. Conclusions on the translocation characteristics in plants can be drawn by the technique proposed in Chap. 8. The associated translocation velocities can now, even in the range of several um/h, be determined in the living plant. Based on calculated concentrations of an MR contrast agent, which was taken up by the plant, these translocation velocities were estimated both in longitudinal direction, thus along the vascular bundle, and in horizontal direction, thus out of the bundle. The latter velocity is located below the contrast agent's velocity value of free diffusion. By adjusting a dynamic contrast-enhancing imaging technique (DCE-Imaging, Tof91) the acquisition duration of a T1-map was significantly reduced. By means of these maps, local concentrations of the contrast agent in plant stems and the siliques of the rapeseed plant could be determined. Numerous questions in plant science can only be answered by non-invasive techniques such as MRI. For this reason, besides the experimental results achieved in this work, further NMR methods were tested and provided for the investigation of plants. As an example, the study on the imaging of magnetic exchange processes are mentioned, which provided the groundwork for a possible transfer of CEST experiments (Chemical Exchange Saturation Transfer) to the plant. The results are presented in the bachelor thesis of A. J{\"a}ger Jae17, which was performed under my supervision, they find great interest under biologists. The development of new technologies, which extend the possibilities for the investigation of living organisms, is of great importance. For this reason, I have contributed to the development of the currently unpublished method RACETE (Refocused Acquisition of Chemical Exchange Transferred Excitations [Jak17, Reu17, Gut18a]). By rephasing the transferred magnetization the utilization of properties which have not been available in chemical "`exchange"' experiments is enabled. With this method a positive contrast is generated, thus a reference experiment is not mandatory. Furthermore, the image phase, which in classical experiments contains no information about the exchanged protons, can be used for the distinct identification of multiple substances which have been excited simultaneously. This recently at the Department of Experimental Physics V developed method can be used in particular for the identification of lipids and for the localization of sugars and amino acids, thus it can serve the enhancement and improvement of non-invasive analytical methods.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@phdthesis{Winter2018,
  author    = {Winter, Patrick},
  title     = {Neue Methoden zur Quantitativen Kardiovaskul{\"a}ren MR-Bildgebung},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-174023},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2018},
  abstract  = {Herzkreislauferkrankungen stellen die h{\"a}ufigsten Todesursachen in den Industrienationen dar. Die Entwicklung nichtinvasiver Bildgebungstechniken mit Hilfe der Magnetresonanz-Tomografie (MRT) ist daher von großer Bedeutung, um diese Erkrankungen fr{\"u}hzeitig zu erkennen und um die Entstehungsmechanismen zu erforschen. In den letzten Jahren erwiesen sich dabei genetisch modifzierte Mausmodelle als sehr wertvoll, da sich durch diese neue Bildgebungsmethoden entwickeln lassen und sich der Krankheitsverlauf im Zeitraffer beobachten l{\"a}sst. Ein große Herausforderung der murinen MRT-Bildgebung sind die die hohen Herzraten und die schnelle Atmung. Diese erfordern eine Synchronisation der Messung mit dem Herzschlag und der Atmung des Tieres mit Hilfe von Herz- und Atemsignalen. Konventionelle Bildgebungstechniken verwenden zur Synchronisation mit dem Herzschlag EKG Sonden, diese sind jedoch insbesondere bei hohen Feldst{\"a}rken (>3 T) sehr st{\"o}ranf{\"a}llig. In dieser Arbeit wurden daher neue Bildgebungsmethoden entwickelt, die keine externen Herz- und Atemsonden ben{\"o}tigen, sondern das MRT-Signal selbst zur Bewegungssynychronisation verwenden. Mit Hilfe dieser Technik gelang die Entwicklung neuer Methoden zur Flussbildgebung und der 3D-Bildgebung, mit denen sich das arterielle System der Maus qualitativ und quantitativ erfassen l{\"a}sst, sowie einer neuen Methode zur Quantisierung der longitudinalen Relaxationszeit T1 im murinen Herzen. Die in dieser Arbeit entwickelten Methoden erm{\"o}glichen robustere Messungen des Herzkreislaufsystems. Im letzten Kapitel konnte dar{\"u}ber hinaus gezeigt werden dass sich die entwickelten Bildgebungstechniken in der Maus auch auf die humane Bildgebung {\"u}bertragen lassen.},
  subject      = {Kernspintomografie},
  language  = {de}
}
@phdthesis{Gutjahr2019,
  author    = {Gutjahr, Fabian Tobias},
  title     = {Neue Methoden der physiologischen Magnet-Resonanz-Tomographie: Modellbasierte T1-Messungen und Darstellung von chemischem Austausch mit positivem Kontrast},
  doi       = {10.25972/OPUS-16106},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-161061},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {Ziel dieser Arbeit war es, neue quantitative Messmethoden am Kleintier, insbesondere die Perfusionsmessung am M{\"a}useherz, zu etablieren. Hierf{\"u}r wurde eine retrospektiv getriggerte T1-Messmethode entwickelt. Da bei retrospektiven Methoden keine vollst{\"a}ndige Abtastung garantiert werden kann, wurde ein Verfahren gefunden, das mit Hilfe von Vorwissen {\"u}ber das gemessene Modell sehr effizient die fehlenden Daten interpolieren kann. Mit Hilfe dieser Technik werden dynamische T1-Messungen mit hoher r{\"a}umlicher und zeitlicher Aufl{\"o}sung m{\"o}glich. Dank der hohen Genauigkeit der T1-Messmethode l{\"a}sst sich diese f{\"u}r die nichtinvasive Perfusionsmessung am M{\"a}useherz mittels der FAIR-ASL-Technik nutzen. Da auf Grund der retrospektiven Triggerung Daten an allen Positionen im Herzzyklus akquiriert werden, konnten T1- und Perfusionskarten nach der Messung zu beliebigen Punkten im Herzzyklus rekonstruiert werden. Es bietet sich an, Techniken, die f{\"u}r die myokardiale Perfusion angewandt werden, auch f{\"u}r die Nierenperfusionsmessung zu verwenden, da die Niere in ihrer Rinde (Cortex) eine {\"a}hnlich hohe Perfusion aufweist wie das Myokard. Gleichzeitig f{\"u}hren Nierenerkrankungen oftmals zu schlechter Kontrastmittelvertr{\"a}glichkeit, da diese bei Niereninsuffizienz u.U. zu lange im K{\"o}rper verweilen und die Niere weiter sch{\"a}digen. Auch deshalb sind die kontrastmittelfreien Spin-Labeling-Methoden hier interessant. Die FAIR-ASL-Technik ist jedoch an M{\"a}usen in koronaler Ansicht f{\"u}r die Niere schlecht geeignet auf Grund des geringen Unterschieds zwischen dem markierten und dem Vergleichsexperiment. Als L{\"o}sung f{\"u}r dieses Problem wurde vorgeschlagen, die Markierungsschicht senkrecht zur Messschicht zu orientieren. Hiermit konnte die Sensitivit{\"a}t gesteigert und gleichzeitig die Variabilit{\"a}t der Methode deutlich verringert werden. Mit Hilfe von kontrastmittelgest{\"u}tzten Messungen konnten auch das regionale Blutvolumen und das Extrazellularvolumen bestimmt werden. In den letzten Jahren hat das Interesse an Extrazellularvolumenmessungen zugenommen, da das Extrazellularvolumen stellvertretend f{\"u}r diffuse Fibrose gemessen werden kann, die bis dahin nichtinvasiven Methoden nicht zug{\"a}nglich war. Die bisher in der Literatur verwendeten Quantifizierungsmethoden missachten den Einfluss, den das H{\"a}matokrit auf den ECV-Wert hat. Es wurde eine neue Korrektur vorgeschlagen, die allerdings zus{\"a}tzlich zur ECV-Messung auch eine RBV-Messung ben{\"o}tigt. Durch gleichzeitige Messung beider Volumenanteile konnte auch erstmals das Extrazellulare-Extravaskul{\"a}re-Volumen bestimmt werden. Eine g{\"a}nzlich andere kontrastmittelbasierte Methode in der MRT ist die Messung des chemischen Austauschs. Hierbei wirkt das Kontrastmittel nicht direkt beschleunigend auf die Relaxation, sondern der Effekt des Kontrastmittels wird gezielt durch HF-Pulse an- und ausgeschaltet. Durch den chemischen Austausch kann die Auswirkung der HF-Pulse akkumuliert werden. Bislang wurde bei solchen Messungen ein negativer Kontrast erzeugt, der ohne zus{\"a}tzliche Vergleichsmessungen schwer detektierbar war. Im letzten Teil dieser Arbeit konnte eine neue Methode zur Messung des chemischen Austauschs gezeigt werden, die entgegen der aus der Literatur bekannten Methoden nicht S{\"a}ttigung, sondern Anregung {\"u}bertr{\"a}gt. Diese {\"A}nderung erlaubt es, einen echten positiven chemischen Austausch-Kontrast zu erzeugen, der nicht zwingend ein Vergleichsbild ben{\"o}tigt. Gleichzeitig erm{\"o}glicht die Technik, dadurch dass Anregung {\"u}bertragen wird, die Phase der Anregung zu kontrollieren und nutzen. Eine m{\"o}gliche Anwendung ist die Unterscheidung verschiedener Substanzen in einer Messung. In der Summe wurden im Rahmen dieser Arbeit verschiedene robuste Methoden eta- bliert, die die M{\"o}glichkeiten der quantitativen physiologischen MRT erweitern.},
  subject      = {Kernspintomografie},
  language  = {de}
}
@phdthesis{Schreck2018,
  author    = {Schreck, Maximilian},
  title     = {Synthesis and Photophysics of Linear and Star-Shaped Oligomers of Squaraine Dyes},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-174272},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2018},
  abstract  = {In this thesis, the synthesis and photophysics of a great variety of squaraine dyes are presented. This variety is based on four parent squaraines containing either indolenine or quinoline heterocycles. By a suitable choice of the donor and acceptor unit, the optical properties can already be adapted to the properties desired on the stage of the monomer. To promote a further derivatisation of these dyes, diverse functional groups are attached to the monomers using transition metal-catalysed C-C coupling reactions. However, this has to be preceded by the synthesis of bromine-functionalised derivatives as a direct halogenation of squaraine dyes is not feasible. Therefore, the halogen function is already introduced in precursor molecules giving rise to a molecular building block system containing bromine-, boronic ester-, and alkyne-functionalised monomer units, which pave the way to a plethora of squaraine oligomers and polymers. The indolenine homopolymer pSQB-1 as well as the corresponding small molecular weight oligomers dSQB-1 and tSQB were synthesized applying Ni-mediated Yamamoto and Pd-catalysed Suzuki coupling methodologies, respectively. The motivation for this project relied on the fundamental investigations by V{\"o}lker et al. on pSQB-V. A progressive red-shift of the lowest energy absorption maximum from the dimer to the polymer was observed in CHCl3 compared to the monomer. With increasing number of monomer units, the exciton coupling decreases from the dimer to the polymer. In addition, the shape of the absorption band manifold shows a strong dependence on the solvent, which was also observed by V{\"o}lker et al. J-type aggregate behavior is found in chlorinated solvents such as CHCl3 and DCM, whereas H-type aggregates are formed in acetone. Temperature-dependent absorption studies in PhCN reveals a reversible equilibrium of diverse polymer conformers, which manifests itself in a gradual change from H-aggregate behavior to a mixture with a more pronounced J-aggregate behavior upon raising the temperature. It isassumed that both characteristic aggregate bands correlate in borderline cases with two polymer structures which can be assigned to a zig-zag and a helical structure. As no experimental evidence for these structures could hitherto be provided by NMR, TD-DFT computations on oligomers (22-mers) can reproduce very closely the characteristic features of the spectra for the two conformational isomers. The subsequent chapters are motivated by the goal to influence the optical properties through a control of the superstructure and thus of the intramolecular aggregate formation. On the one hand, bulky groups are implemented in the 3-position of the indolenine scaffold to provoke steric repulsion and thus favoring J-aggregate behavior at the expense of helical arrangements. The resulting homopolymer pDiPhSQB bearing two phenyl groups per indolenine exhibits J-type aggregate behavior with red-shifted absorption maxima in all considered solvents which is explained to be caused by the formation of elongated zig-zag structures. Furthermore, single-crystal X-ray analysis of monomer DiPhSQB-2-Br2 reveals a torsion of the indolenine moieties as a consequence of steric congestion. The twist of the molecular geometry and the resulting loss of planarity leads to a serious deterioration of the fluorescence properties, however a significant bathochromic shift of ca. 1 200 cm-1 of the lowest absorption band was observed compared to parent SQB, which is even larger than the shift for dSQB-1 (ca. 1 000 cm-1). On the other hand, a partial stiffening of the polymer backbone is attempted to create a bias for elongated polymer chains. In this respect, the synthetic approach is to replace every second biarylaxis with the rigid transoid benzodipyrrolenine unit. Despite a rather low average degree of polymerization < 10, exclusively red-shifted absorption maxima are observed in all solvents used. In order to complete the picture of intramolecular aggregates through the selective design of H-aggregates, a squaraine-squaraine copolymer was synthesised containing the classic cisoid indolenine as well as the cisoid quinoline building block. Taking advantage of the highly structure directing self-assembly character of the quinoline moiety, the copolymer pSQBC indeed showes a broad, blue-shifted main absorption band in comparison with the monomer unit dSQBC. The shape of the absorption band manifold solely exhibited a minor solvent and temperature dependence indicating a persistent H-aggregate behaviour. Hence, as a proof of concept, it is shown that the optical properties of the polymers (H- and J-aggregate) and the corresponding superstructure can be inherently controlled by an adequate design of monomer precursors. The last chapter of this work deals, in contrast to all other chapters, with intermolecular aggregates. It is shown that the two star-shaped hexasquarainyl benzenes hSQA-1 and hSQA-2 exhibit a strong propensity for self-organisation. Concentration- and temperature-dependent studies reveal a great driving force for self-assembly in acetone. While the larger hSQA-2 instantaneously forms stable aggregates, the aggregates of hSQA-1 shows a pronounced kinetic stability. Taking advantage of the kinetic persistency of these aggregates, the corresponding kinetic activation parameters for aggregation and deaggregation can be assessed. The absorption spectra of both hexasquarainyl benzenes in the aggregated state reveal some striking differences. While hSQA-1 features an intensive, very narrow and blue-shifted absorption band, two red-shifted bands are observed for hSQA-2, which are closely located at the monomer absorption. The very small bandwidth of hSQA-1 are interpreted to be caused by exchange narrowing and pointed towards highly ordered supramolecular aggregates. The concentration-dependent data of the two hexasquarainyl benzenes can be fitted to the dimer-model with excellent correlation coefficients, yielding binding constants in excess of 10^6 M-1, respectively. Such high binding constants are very surprising, considering the unfavourable bulky 3,3-dimethyl groups of the indolenine units which should rather prevent aggregation. Joint theoretical and NMR spectroscopic methods were applied to unravel the supramolecular aggregate structure of hSQA-1, which is shown to consist of two stacked hexasquarainyl benzenes resembling the picture of two stacked bowls.},
  subject      = {Squaraine},
  language  = {en}
}
@phdthesis{Schielein2018,
  author    = {Schielein, Richard},
  title     = {Analytische Simulation und Aufnahmeplanung f{\"u}r die industrielle R{\"o}ntgencomputertomographie},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-169236},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2018},
  abstract  = {R{\"o}ntgencomputertomographie (CT) hat in ihrer industriellen Anwendung ein sehr breites Spektrum m{\"o}glicher Pr{\"u}fobjekte. Ziel einer CT-Messung sind dreidimensionale Abbilder der Verteilung des Schw{\"a}chungskoeffizienten der Objekte mit m{\"o}glichst großer Genauigkeit. Die Parametrierung eines CT-Systems f{\"u}r ein optimales Messergebnis h{\"a}ngt stark vom zu untersuchenden Objekt ab. Eine Vorhersage der optimalen Parameter muss die physikalischen Wechselwirkungen mit R{\"o}ntgenstrahlung des Objektes und des CT-Systems ber{\"u}cksichtigen. Die vorliegende Arbeit befasst sich damit, diese Wechselwirkungen zu modellieren und mit der M{\"o}glichkeit den Prozess zur Parametrierung anhand von G{\"u}temaßen zu automatisieren. Ziel ist eine simulationsgetriebene, automatische Parameteroptimierungsmethode, welche die Objektabh{\"a}ngigkeit ber{\"u}cksichtigt. Hinsichtlich der Genauigkeit und der Effizienz wird die bestehende R{\"o}ntgensimulationsmethodik erweitert. Es wird ein Ansatz verfolgt, der es erm{\"o}glicht, die Simulation eines CT-Systems auf reale Systeme zu kalibrieren. Dar{\"u}ber hinaus wird ein Modell vorgestellt, welches zur Berechnung der zweiten Ordnung der Streustrahlung im Objekt dient. Wegen des analytischen Ansatzes kann dabei auf eine Monte-Carlo Methode verzichtet werden. Es gibt in der Literatur bisher keine eindeutige Definition f{\"u}r die G{\"u}te eines CT-Messergebnisses. Eine solche Definition wird, basierend auf der Informationstheorie von Shannon, entwickelt. Die Verbesserungen der Simulationsmethodik sowie die Anwendung des G{\"u}temaßes zur simulationsgetriebenen Parameteroptimierung werden in Beispielen erfolgreich angewendet beziehungsweise mittels Referenzmethoden validiert.},
  subject      = {Computertomografie},
  language  = {de}
}
@phdthesis{Sturm2015,
  author    = {Sturm, Volker J{\"o}rg Friedrich},
  title     = {\(^{19}F\) Magnetresonanztomographie zur Bildgebung von Infektionen im Zeitverlauf},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-122851},
  school      = {Universit{\"a}t W{\"u}rzburg},
  pages     = {114},
  year      = {2015},
  abstract  = {Im Rahmen dieser Arbeit sollten die M{\"o}glichkeiten der MR Tomographie erkundet werden bakterielle Infektionen im Zeitverlauf darzustellen. Genauer gesagt sollte das Potential der MR Tomographie anhand eines durch eine Infektion induzierten lokalisierten Abszesses unter Verwendung dreier unterschiedlicher MRT Methoden untersucht werden: Mittels nativem \(T_2\) Kontrast; der Verwendung von superparamagnetischen Eisenoxid Partieln (USPIO) als \(T_2^*\) Kontrastmittel; und dem Einsatz von Perfluorkarbonen (PFC) als \(^{19}F\) MRT Marker (siehe Kapitel 3). Wie erwartet f{\"u}hrte die durch die Infektion hervorgerufene Entz{\"u}ndung zu ver{\"a}nderten \(T_2\)-Zeiten, welche auf \(T_2\)-gewichteten MR Bildern eine Lokalisierung des Abszessbereiches erlauben. Jedoch eigneten sich diese Daten aufgrund der graduellen {\"A}nderung der \(T_2\)-Zeiten nicht, um eine klare Grenze zwischen Abszess und umliegendem Gewebe zu ziehen. Superparamagnetische Eisenoxidpartikel andererseit haben als MRT Kontrastmittel bereits in den letzten Jahren ihre F{\"a}higkeit unter Beweis gestellt Entz{\"u}ndungen [53, 58, 64] darzustellen. Die Anreicherung dieser Partikel am Rande des Abszesses [53], wie sie auch in unseren MR Daten zu beobachten war, erlaubte eine relativ scharfe Abgrenzung gegen{\"u}ber dem umgebenden Gewebe in der chronischen Phase der Infektion (Tag 9 p.i.). Hingegen gen{\"u}gte die nur sehr sp{\"a}rlichen Anreicherung von USPIO Partikeln in der akuten Phase der Infektion (Tag 3 p.i.) nicht f{\"u}r eine entsprechende Abgrenzung [58]. Aufgrund der sehr geringen biologischen H{\"a}ufigkeit und den sehr kurzen Relaxationszeiten von endogenem Fluor eignen sich Perfluorkarbone als Markersubstanz in der MR Tomographie von biologischen Systemen. Insbesondere da PFC Emulsionen durch phagozytierende Zellen aufgenommen werden und im Bereich von Entz{\"u}ndungen akkumulieren [30, 59]. In dieser Arbeit konnte anhand der erhaltenen MRT Daten eine Akkumulation von Perfluorkarbonen nicht nur in der chronischen Phase, sondern auch in der akuten Phase nachgewiesen werden. Diese Daten erlauben somit zu allen untersuchten Zeitpunkten eine Abgrenzung zwischen Infektion und umliegenden Gewebe. Aufgrund der besagten Vorteile wurden die Perfluorkarbone gew{\"a}hlt, um die M{\"o}glichkeiten der MR Tomographie zu testen, quantitative Informationen {\"u}ber die schwere der Infektion zu liefern. Als Referenz f{\"u}r die Bakterienbelastung wurden die Biolumineszenzbildgebung (BLI) [49, 50] und die Standardmethode zur Bestimmung der Bakterienbelastung cfu (koloniebildenden Einheiten) herangezogen. Eine Gegen{\"u}berstellung der zeitlichen Verl{\"a}ufe der durch die Biolumineszenzbildgebung und durch die cfu erhaltenen Daten liefert eine qualitative {\"U}bereinstimmung mit den durch die 19F MR Tomographie erhaltenen Daten. Dies trifft hierbei sowohl auf die {\"u}ber den gesamten Infektionsbereich hinweg summierten Signalamplituden, als auch auf das Volumen zu, in dem Fluor am Ort der Infektion akkumuliert wurde. Im Gegensatz zur Methode der cfu Bestimmung sind die MR Tomographie und die Biolumineszenzbildgebung nicht invasiv und erlauben die Verfolgung des Infektionsverlaufes an einem einzelnen Individuum. Hierzu ben{\"o}tigt, im Gegensatz zur MR Tomographie, die Methode der Biolumineszenzbildgebung jedoch einen speziellen Pathogenstamm. Dar{\"u}ber hinaus ist hervorzuheben, dass die MR Tomographie zudem die M{\"o}glichkeit bietet auch morphologische Informationen {\"u}ber den Infektionsbereich und seine Umgebung zu akquirieren. Gerade weil jede dieser Methoden die mit der Infektion einhergehenden Prozesse aus einer leicht anderen Blickrichtung betrachtet, erscheint es sinnvoll diese etablierte Untersuchungsplattform bestehend aus MRT, BLI und cfu {\"u}ber die in dieser Arbeit bearbeitete Fragestellung hinaus n{\"a}her zu untersuchen. Insbesondere der Aspekt inwieweit die drei Methoden sich gegenseitig erg{\"a}nzen, k{\"o}nnte einen tieferen Einblick in die Wechselwirkung zwischen Pathogen und Wirt erlauben. Auch wenn f{\"u}r die betrachtete Fragestellung bereits der hierdurchgef{\"u}hrte semiquanitative Ansatz zur Bestimmung der relativen Fluormengen am Ort der Infektion ausreichte, so ist doch im Allgemeinen w{\"u}nschenswert probenbezogen die Sensitivit{\"a}t der Spule und damit die G{\"u}te der Spulenabstimmung zu bestimmen. Hierzu ist jedoch die Aufnahme von \(B_1\)-Karten unabdingbar und wird entsprechend im Kapitel 4 \(Bloch-Siegert B_1^+-Mapping\) n{\"a}her addressiert. Der Schwerpunkt liegt hierbei, wie der Kapitelname bereits andeutet, auf der Bloch-Siegert Methode, die insbesondere in der pr{\"a}sentierten Implementierung in einer Turbo/ Multi Spin Echo Sequenz eine effiziente Nutzung der relativ langen \(T_\)2-Zeiten der Perfluorkarbone erlaubt. Da zudem die Bloch-Siegert-Methode eine rein phasenbasierte Methode ist, kann neben der aus den Daten erzeugten \(B_1\)-Karte zugleich ein unverf{\"a}lschtes Magnitudenbild generiert werden, wodurch eine sehr effiziente Nutzung der vorhandenen Messzeit erm{\"o}glicht wird. Diese Eigenschaft ist insbesondere f{\"u}r \(^{19}F\) Bildgebung von besonderem Interesse, da hier f{\"u}r jede Messung, aufgrund der {\"u}blicherweise relativ geringen Konzentration an Fluoratomen, lange Messzeiten ben{\"o}tigt werden. Zusammenfassend konnte anhand des untersuchten Tiermodells sowohl die F{\"a}higkeit der MR Tomographie nachgewiesen werden Infektionen im Zeitverlauf darzustellen, als auch die F{\"a}higkeit der MR Tomographie quantitative Informationen {\"u}ber den Verlauf der Infektion zu liefern. Desweiteren konnte eine M{\"o}glichkeit aufgezeigt werden, welche das Potential hat in vertretbarem Zeitrahmen auch in vivo B1+-Karten auf dem Fluorkanal zu erstellen und so einen zentralen Unsicherheitsfaktor, f{\"u}r Relaxometry und absolute Quantifizierung von \(^{19}F\) Daten in vivo, zu beseitigen.},
  subject      = {Kernspintomografie},
  language  = {de}
}
@phdthesis{Weick2015,
  author    = {Weick, Stefan},
  title     = {Retrospektive Bewegungskorrektur zur hochaufgel{\"o}sten Darstellung der menschlichen Lunge mittels Magnetresonanztomographie},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-124084},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {Ziel dieser Arbeit war es, das gesamte Lungenvolumen in hoher dreidimensionaler Aufl{\"o}sung mittels der MRT darzustellen. Um trotz der niedrigen Protonendichte der Lunge und der geforderten hohen Aufl{\"o}sung ausreichend Signal f{\"u}r eine verl{\"a}ssliche Diagnostik zu erhalten, sind Aufnahmezeiten von einigen Minuten n{\"o}tig. Um die Untersuchung f{\"u}r den Patienten angenehmer zu gestalten oder auf Grund der eingeschr{\"a}nkten F{\"a}higkeit eines Atemstopps {\"u}berhaupt erst zu erm{\"o}glichen, war eine Anforderung, die Aufnahmen in freier Atmung durchzuf{\"u}hren. Dadurch entstehen allerdings Bewegungsartefakte, die die Diagnostik stark beeintr{\"a}chtigen und daher m{\"o}glichst vermieden werden m{\"u}ssen. F{\"u}r eine Bewegungskompensation der Daten muss die auftretende Atembewegung detektiert werden. Die Bewegungsdetektion kann durch externe Messger{\"a}te (Atemgurt oder Spirometer) oder durch eine zus{\"a}tzliche Anregungen erfolgen (konventionelle Navigatoren) erfolgen. Nachteile dieser Methoden bestehen darin, dass die Bewegung w{\"a}hrend der Atmung nicht direkt verfolgt wird, dass elektronische Messger{\"a}te in die N{\"a}he des Tomographen gebracht werden und das die Patienten zus{\"a}tzlich vorbereitet und eingeschr{\"a}nkt werden. Des Weiteren erfordert eine zus{\"a}tzliche Anregung extra Messzeit und kann unter Umst{\"a}nden die Magnetisierung auf unterw{\"u}nschte Weise beeinflussen. Um die angesprochenen Schwierigkeiten der Bewegungsdetektion zu umgehen, wurden in dieser Arbeit innerhalb einer Anregung einer 3d FLASH-Sequenz sowohl Bilddaten- als auch Navigatordaten aufgenommen. Als Navigator diente dabei das nach der Rephasierung aller bildgebenden Gradienten entstehende Signal (DC Signal). Das DC Signal entspricht dabei der Summe aller Signale, die mit einem bestimmten Spulenelement detektiert werden k{\"o}nnen. Bewegt sich beispielsweise die Leber bedingt durch die Atmung in den Sensitivit{\"a}tsbereich eines Spulenelementes, wird ein st{\"a}rkeres DC Signal detektiert werden. Je nach Positionierung auf dem K{\"o}rper kann so die Atembewegung mit einzelnen r{\"a}umlich lokalisierten Spulenelementen nachverfolgt werden. Am DC Signalverlauf des f{\"u}r die Bewegungskorrektur ausgew{\"a}hlten Spulenelementes sind dann periodische Signalschwankungen zu erkennen. Zus{\"a}tzlich k{\"o}nnen aus dem Verlauf Expirations- von Inspirationszust{\"a}nden unterschieden werden, da sich Endexpirationszust{\"a}nde im Regelfall durch eine l{\"a}ngere Verweildauer auszeichnen. Grunds{\"a}tzlich kann das DC Signal vor oder nach der eigentlichen Datenaufnahme innerhalb einer Anregung aufgenommen werden. Auf Grund der kurzen Relaxationszeit T∗2 des Lungengewebes f{\"a}llt das Signal nach der RF Anregung sehr schnell ab. Um m{\"o}glichst viel Signal zu erhalten sollten, wie in dieser Arbeit gezeigt wurde, innerhalb einer Anregung zuerst die Bilddaten und danach die Navigatordaten aufgenommen werden. Dieser Ansatz f{\"u}hrt zu einer Verk{\"u}rzung der Echozeit TE um 0.3 ms und damit zu einem SNR Gewinn von etwa 20 \%. Gleichzeitig ist das verbleibende Signal nach der Datenakquisition und Rephasierung der bildgebenden Gradienten noch ausreichend um die Atembewegung zu erfassen und somit eine Bewegungskorrektur der Daten (Navigation) zu erm{\"o}glichen. Um eine retrospektive Bewegungskorrektur durchf{\"u}hren zu k{\"o}nnen, m{\"u}ssen Akzeptanzbedingungen (Schwellenwerte) f{\"u}r die Datenauswahl festgelegt werden. Bei der Wahl des Schwellenwertes ist darauf zu achten, dass weder zu wenige noch zu viele Daten akzeptiert werden. Akzeptiert man sehr wenige Daten, zeichnen sich die Rekonstruktionen durch einen scharfen {\"U}bergang zwischen Lunge und Diaphragma aus, da man sehr wenig Bewegung in den Rekonstruktionen erlaubt. Gleichzeitig erh{\"o}ht sich allerdings das Risiko, dass nach der Navigation Linien fehlen. Dies f{\"u}hrt zu Einfaltungsartefakten, die in Form von gest{\"o}rten Bildintensit{\"a}ten in den Rekonstruktionen zu sehen sind und die diagnostische Aussagekraft einschr{\"a}nken. Um Einfaltungsartefakte zu vermeiden sollte der Schwellenwert so gew{\"a}hlt werden, dass nach der Datenauswahl keine Linien fehlen. Aus dieser Anforderung l{\"a}sst sich ein maximaler Schwellenwert ableiten. Akzeptiert man dagegen sehr viele Daten, zeichnen sich die Rekonstruktionen durch erh{\"o}htes Signal und das vermehrte Auftreten von Bewegungsartefakten aus. In diesem Fall m{\"u}sste der Arzt entscheiden, ob Bewegungsartefakte die Diagnostik zu stark beeinflussen. W{\"a}hlt man den Schwellenwert so, dass weder Linien fehlen noch zu viel Bewegung erlaubt wird, erh{\"a}lt man Rekonstruktionen die sich durch einen scharfen Diaphragma{\"u}bergang auszeichnen und in denen noch kleinste Gef{\"a}ße auch in der N{\"a}he des Diaphragmas deutlich zu erkennen sind. Hierf{\"u}r haben sich Schwellenwerte, die zu einer Datenakzeptanz von ca. 40 \% f{\"u}hren als g{\"u}nstig erwiesen. Um Einfaltungsartefakte auf Grund der retrospektiven Datenauswahl zu verhindern, muss das Bildgebungsvolumen mehrfach abgetastet werden. Dadurch wird gew{\"a}hrleistet, dass f{\"u}r die letztendliche Rekonstruktion ausreichend Daten zur Verf{\"u}gung stehen, wobei mehrfach akzeptierte Daten gemittelt werden. Dies spielt auf Grund der niedrigen Protonendichte der Lunge eine wesentliche Rolle in der Rekonstruktion hochaufgel{\"o}ster Lungendatens{\"a}tze. Weiterhin f{\"u}hrt das Mitteln von mehrfach akzeptierten Daten zu einer Unterdr{\"u}ckung der sogenannten Ghost Artefakte, was am Beispiel der Herzbewegung in der Arbeit gezeigt wird. Da die Messungen unter freier Atmung durchgef{\"u}hrt werden und keine zus{\"a}tzlichen externen Messger{\"a}te angeschlossen werden m{\"u}ssen, stellte die Untersuchung f{\"u}r die Patienten in dieser Arbeit kein Problem dar. Im ersten Teil dieser wurde Arbeit gezeigt, dass sich mit Hilfe des DC Signales als Navigator und einer retrospektiven Datenauswahl das gesamte Lungenvolumen in hoher dreidimensionaler Aufl{\"o}sung von beispielsweise 1.6 x 1.6 x 4 mm3 innerhalb von 13 min. darstellen l{\"a}sst. Die Anwendbarkeit der vorgestellten Methode zur Bewegungskorrektur wurde neben Probanden auch an Patienten demonstriert. Da wie bereits beschrieben das Bildgebungsvolumen mehrfach abgetastet werden muss, wiederholt sich auch die Abfolge der f{\"u}r die Bildgebung verantwortlichen Gradienten periodisch. Da sich der Atemzyklus aber auch periodisch wiederholt, kann es zu Korrelationen zwischen der Atmung und den wiederholten Messungen kommen. Dies f{\"u}hrt dazu, dass auch nach vielen wiederholten Messungen immer noch gr{\"o}ßere Bereiche fehlender Linien im k-Raum bleiben, was zu Artefakten in den Rekonstruktionen f{\"u}hrt. Dies konnte im Falle der konventionellen Bewegungskorrektur in den Gatingmasken, die die Verteilung und H{\"a}ufigkeit der einzelnen akzeptierten Phasenkodierschritte im k-Raum zeigen, beobachtet werden. Da eine vors{\"a}tzliche Unterbrechung der Atemperiodizit{\"a}t (der Patient wird dazu angehalten, seine Atemfrequenz w{\"a}hrend der Messung absichtlich zu variieren) zur Vermeidung der angesprochenen Korrelationen nicht in Frage kommt, musste die Periodizit{\"a}t in der Datenaufnahme unterbrochen werden. In dieser Arbeit wurde dies durch eine quasizuf{\"a}llige Auswahl von Phasen- und Partitionskodiergradienten erreicht, da Quasizufallszahlen so generiert werden, dass sie unabh{\"a}ngig von ihrer Anzahl einen Raum m{\"o}glichst gleichf{\"o}rmig ausf{\"u}llen. Die quasizuf{\"a}llige Datenaufnahme f{\"u}hrt deshalb dazu, das sowohl akzeptierte als auch fehlende Linien nach der Bewegungskorrektur homogen im k-Raum verteilt auftreten. Vergleicht man das auftreten von Ghosting zeichnen sich die quasizuf{\"a}lligen Rekonstruktionen im Vergleich zur konventionellen Datenaufnahme durch eine verbesserte Reduktion von Ghost Artefakten aus. Dies ist auf die homogene Verteilung mehrfach akzeptierter Linien im k-Raum zur{\"u}ckzuf{\"u}hren. Die homogenere Verteilung von fehlenden Linien im k-Raum f{\"u}hrt weiterhin zu einer wesentlich stabileren Rekonstruktion fehlender Linien mit parallelen MRT-Verfahren (z.B. iterativem Grappa). Dies wird umso deutlicher je h{\"o}her der Anteil fehlender Linien im k-Raum wird. Im Falle der konventionellen Datenaufnahme werden die zusammenh{\"a}ngenden Bereiche fehlender Linien immer gr{\"o}ßer, was eine erfolgreiche Rekonstruktion mit iterativem Grappa unm{\"o}glich macht. Im Falle der quasizuf{\"a}lligen Datenaufnahme dagegen k{\"o}nnen auch Datens{\"a}tze in denen 40\% der Linien fehlen einfaltungsartefaktfrei rekonstruiert werden. Im weiteren Verlauf der Arbeit wurde gezeigt, wie die Stabilit{\"a}t der iterativen Grappa Rekonstruktion im Falle der quasizuf{\"a}lligen Datenaufnahme f{\"u}r eine erhebliche Reduktion der gesamten Messzeit genutzt werden kann. So ist in einer Messzeit von nur 74s die Rekonstruktion eines artefaktfreien und bewegungskorrigierten dreidimensionalen Datensatzes der menschlichen Lunge mit einer Aufl{\"o}sung von 2 x 2 x 5 mm3 m{\"o}glich. Des Weiteren erlaubt die quasizuf{\"a}llige Datenaufnahme in Kombination mit iterativem Grappa die Rekonstruktion von Datens{\"a}tzen unterschiedlicher Atemphasen von Inspiration bis Expiration (4D Bildgebung). Nach einer Messzeit von 15min. wurden 19 unterschiedliche Atemzust{\"a}nde rekonstruiert, wobei sich der Anteil der fehlenden Linien zwischen 0 und 20 \% lag. Im Falle der konventionellen Datenaufnahme w{\"a}re eine wesentlich l{\"a}ngere Messzeit n{\"o}tig gewesen, um {\"a}hnliche Ergebnisse zu erhalten. Zum Schluss soll noch ein Ausblick {\"u}ber m{\"o}gliche Weiterentwicklungen und Anwendungsm{\"o}glichkeiten, die sich aus den Erkenntnissen dieser Arbeit ergeben haben, gegeben werden. So k{\"o}nnte das quasizuf{\"a}llige Aufnahmeschema um eine Dichtegewichtung erweitert werden. Hierbei w{\"u}rde der zentrale k-Raum Bereich etwas h{\"a}ufiger als die peripheren Bereiche akquiriert werden. Dadurch sollte die iterative Grappa Rekonstruktion noch stabiler funktionieren und Ghost Artefakte besser reduziert werden. Die Verteilung der Linien sollte allerdings nicht zu inhomogen werden, um gr{\"o}ßere L{\"u}cken im k-Raum zu vermeiden. Dar{\"u}ber hinaus k{\"o}nnte die vorgestellte Methode der Bewegungskompensation auch f{\"u}r die Untersuchung anderer Organe oder K{\"o}rperteile verwendet werden. Voraussetzung w{\"a}re lediglich das Vorhandensein dezidierter Spulenanordnungen, mit denen die Bewegung nachverfolgt werden kann. So ist beispielsweise eine dynamische Bildgebung des frei und aktiv bewegten Knies m{\"o}glich, wobei zwischen Beugung und Streckung durch die erste Ableitung des zentralen k-Raum Signales unterschieden werden kann. Dies kann zus{\"a}tzliche Diagnoseinformationen liefern oder f{\"u}r Verlaufskontrollen nach Operationen benutzt werden [15]. Eine Weiterentwicklung mit hohem klinischen Potential k{\"o}nnte die Kombination der in dieser Arbeit vorgestellten retrospektiven Bewegungskorrektur mit einer Multi- Gradienten-Echo Sequenz darstellen. Hierzu musste die bestehende Sequenz lediglich um eine mehrfache Abfolge von Auslesegradienten innerhalb einer Anregung erweitert werden. Dies erm{\"o}glicht eine bewegungskorrigierte voxelweise Bestimmung der transversalen Relaxationszeit T∗2 in hoher r{\"a}umlicher Aufl{\"o}sung. Unter zus{\"a}tzlicher Sauerstoffgabe kann es zu einer Ver{\"a}nderung von T∗2 kommen, die auf den sogenannten BOLD Effekt (Blood Oxygen Level Dependent) zur{\"u}ckzuf{\"u}hren ist. Aus dieser {\"A}nderung k{\"o}nnten R{\"u}ckschl{\"u}sse auf hypoxische Tumorareale gezogen werden. Da diese eine erh{\"o}hte Strahlenresistenz aufweisen, k{\"o}nnte auf diese Bereiche innerhalb des Tumors eine erh{\"o}hte Strahlendosis appliziert und so m{\"o}glicherweise Behandlungsmisserfolge reduziert werden. Gleichzeitig kann durch die 4D Bildgebung eine m{\"o}gliche Tumorbewegung durch die Atmung erfasst und diese Information ebenfalls in der Bestrahlungsplanung benutzt werden. Die Lungen MRT k{\"o}nnte somit um eine hochaufgel{\"o}ste dreidimensionale funktionelle Bildgebung erweitert werden.},
  subject      = {Kernspintomografie},
  language  = {de}
}
@phdthesis{Winkler2015,
  author    = {Winkler, Marco},
  title     = {On the Role of Triadic Substructures in Complex Networks},
  publisher = {epubli GmbH},
  address   = {Berlin},
  isbn      = {978-3-7375-5654-5},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-116022},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2015},
  abstract  = {In the course of the growth of the Internet and due to increasing availability of data, over the last two decades, the field of network science has established itself as an own area of research. With quantitative scientists from computer science, mathematics, and physics working on datasets from biology, economics, sociology, political sciences, and many others, network science serves as a paradigm for interdisciplinary research. One of the major goals in network science is to unravel the relationship between topological graph structure and a network's function. As evidence suggests, systems from the same fields, i.e. with similar function, tend to exhibit similar structure. However, it is still vague whether a similar graph structure automatically implies likewise function. This dissertation aims at helping to bridge this gap, while particularly focusing on the role of triadic structures. After a general introduction to the main concepts of network science, existing work devoted to the relevance of triadic substructures is reviewed. A major challenge in modeling triadic structure is the fact that not all three-node subgraphs can be specified independently of each other, as pairs of nodes may participate in multiple of those triadic subgraphs. In order to overcome this obstacle, we suggest a novel class of generative network models based on so called Steiner triple systems. The latter are partitions of a graph's vertices into pair-disjoint triples (Steiner triples). Thus, the configurations on Steiner triples can be specified independently of each other without overdetermining the network's link structure. Subsequently, we investigate the most basic realization of this new class of models. We call it the triadic random graph model (TRGM). The TRGM is parametrized by a probability distribution over all possible triadic subgraph patterns. In order to generate a network instantiation of the model, for all Steiner triples in the system, a pattern is drawn from the distribution and adjusted randomly on the Steiner triple. We calculate the degree distribution of the TRGM analytically and find it to be similar to a Poissonian distribution. Furthermore, it is shown that TRGMs possess non-trivial triadic structure. We discover inevitable correlations in the abundance of certain triadic subgraph patterns which should be taken into account when attributing functional relevance to particular motifs - patterns which occur significantly more frequently than expected at random. Beyond, the strong impact of the probability distributions on the Steiner triples on the occurrence of triadic subgraphs over the whole network is demonstrated. This interdependence allows us to design ensembles of networks with predefined triadic substructure. Hence, TRGMs help to overcome the lack of generative models needed for assessing the relevance of triadic structure. We further investigate whether motifs occur homogeneously or heterogeneously distributed over a graph. Therefore, we study triadic subgraph structures in each node's neighborhood individually. In order to quantitatively measure structure from an individual node's perspective, we introduce an algorithm for node-specific pattern mining for both directed unsigned, and undirected signed networks. Analyzing real-world datasets, we find that there are networks in which motifs are distributed highly heterogeneously, bound to the proximity of only very few nodes. Moreover, we observe indication for the potential sensitivity of biological systems to a targeted removal of these critical vertices. In addition, we study whole graphs with respect to the homogeneity and homophily of their node-specific triadic structure. The former describes the similarity of subgraph distributions in the neighborhoods of individual vertices. The latter quantifies whether connected vertices are structurally more similar than non-connected ones. We discover these features to be characteristic for the networks' origins. Moreover, clustering the vertices of graphs regarding their triadic structure, we investigate structural groups in the neural network of C. elegans, the international airport-connection network, and the global network of diplomatic sentiments between countries. For the latter we find evidence for the instability of triangles considered socially unbalanced according to sociological theories. Finally, we utilize our TRGM to explore ensembles of networks with similar triadic substructure in terms of the evolution of dynamical processes acting on their nodes. Focusing on oscillators, coupled along the graphs' edges, we observe that certain triad motifs impose a clear signature on the systems' dynamics, even when embedded in a larger network structure.},
  subject      = {Netzwerk},
  language  = {en}
}
@unpublished{Dandekar2021,
  author    = {Dandekar, Thomas},
  title     = {Our universe may have started by Qubit decoherence},
  doi       = {10.25972/OPUS-23918},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-239181},
  pages     = {54},
  year      = {2021},
  abstract  = {Our universe may have started by Qubit decoherence: In quantum computers, qubits have all their states undefined during calculation and become defined as output ("decoherence"). We study the transition from an uncontrolled, chaotic quantum vacuum ("before") to a clearly interacting "real world". In such a cosmology, the Big Bang singularity is replaced by a condensation event of interacting strings. This triggers a crystallization process. This avoids inflation, not fitting current observations: increasing long-range interactions limit growth and crystal symmetries ensure the same laws of nature and basic symmetries over the whole crystal. Tiny mis-arrangements provide nuclei of superclusters and galaxies and crystal structure allows arrangement of dark (halo regions) and normal matter (galaxy nuclei) for galaxy formation. Crystals come and go: an evolutionary cosmology is explored: entropic forces from the quantum soup "outside" of the crystal try to dissolve it. This corresponds to dark energy and leads to a "big rip" in 70 Gigayears. Selection for best growth and condensation events over generations of crystals favors multiple self-organizing processes within the crystal including life or even conscious observers in our universe. Philosophically this theory shows harmony with nature and replaces absurd perspectives of current cosmology. Independent of cosmology, we suggest that a "real world" (so our everyday macroscopic world) happens only inside a crystal. "Outside" there is wild quantum foam and superposition of all possibilities. In our crystallized world the vacuum no longer boils but is cooled down by the crystallization event, space-time exists and general relativity holds. Vacuum energy becomes 10**20 smaller, exactly as observed in our everyday world. We live in a "solid" state, within a crystal, the n quanta which build our world have all their different m states nicely separated. There are only nm states available for this local "multiverse". The arrow of entropy for each edge of the crystal forms one fate, one world-line or clear development of our world, while layers of the crystal are different system states. Mathematical leads from loop quantum gravity (LQG) point to required interactions and potentials. Interaction potentials for strings or loop quanta of any dimension allow a solid, decoherent state of quanta challenging to calculate. However, if we introduce here the heuristic that any type of physical interaction of strings corresponds just to a type of calculation, there is already since 1898 the Hurwitz theorem showing that then only 1D, 2D, 4D and 8D (octonions) allow complex or hypercomplex number calculations. No other hypercomplex numbers and hence dimensions or symmetries are possible to allow calculations without yielding divisions by zero. However, the richest solution allowed by the Hurwitz theorem, octonions, is actually the observed symmetry of our universe, E8. Standard physics such as condensation, crystallization and magnetization but also solid-state physics and quantum computing allow us to show an initial mathematical treatment of our new theory by LQG to describe the cosmological state transformations by equations, and, most importantly, point out routes to parametrization of free parameters looking at testable phenomena, experiments and formulas that describe processes of crystallization, protein folding, magnetization, solid-state physics and quantum computing. This is presented here for LQG, for string theory it would be more elegant but was too demanding to be shown here. Note: While my previous Opus server preprint "A new cosmology of a crystallization process (decoherence) from the surrounding quantum soup provides heuristics to unify general relativity and quantum physics by solid state physics" (https://doi.org/10.25972/OPUS-23076) deals with the same topics and basic formulas, this new version is improved: clearer in title, better introduction, more stringent in its mathematics and improved discussion of the implications including quantum computing, hints for parametrization and connections to LQG and other current cosmological efforts. This 5th of June 2021 version is again an OPUS preprint, but this will next be edited for Archives https://arxiv.org.},
  language  = {en}
}
@phdthesis{Neumann2014,
  author    = {Neumann, Daniel},
  title     = {Advances in Fast MRI Experiments},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-108165},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2014},
  abstract  = {Magnetic Resonance Imaging (MRI) is a non-invasive medical imaging technique, that is rou- tinely used in clinical practice for detection and diagnosis of a wide range of different diseases. In MRI, no ionizing radiation is used, making even repeated application unproblematic. This is an important advantage over other common imaging methods such as X-rays and Computer To- mography. One major drawback of MRI, however, are long acquisition times and associated high costs of experiments. Since the introduction of MRI, several important technical developments have been made to successfully reduce acquisition times. In this work, novel approaches were developed to increase the efficiency of MRI acquisitions. In Chapter 4, an improved radial turbo spin-echo (TSE) combined acquisition and reconstruction strategy was introduced. Cartesian turbo spin-echo sequences [3] are widely used especially for the detection and diagnosis of neurological pathologies, as they provide high SNR images with both clinically important proton density and T2 contrasts. TSE acquisitions combined with radial sampling are very efficient, since it is possible to obtain a number of ETL images with different contrasts from a single radial TSE measurement [56-58]. Conventionally, images with a particular contrast are obtained from both radial and Cartesian TSE acquisitions by combining data from different echo times into a single image. In the radial case, this can be achieved by employing k-space weighted image contrast (KWIC) reconstruction. In KWIC, the center region of k-space is filled exclusively with data belonging to the desired contrast while outer regions also are assembled with data acquired at other echo times. However, this data sharing leads to mixed contrast contributions to both Cartesian and radial TSE images. This is true especially for proton density weighted images and therefore may reduce their diagnostic value. In the proposed method, an adapted golden angle reordering scheme is introduced for radial TSE acquisitions, that allows a free choice of the echo train length and provides high flexibility in image reconstruction. Unwanted contrast contaminations are greatly reduced by employing a narrow-band KWIC filter, that restricts data sharing to a small temporal window around the de- sired echo time. This corresponds to using fewer data than required for fully sampled images and consequently leads to images exhibiting aliasing artifacts. In a second step, aliasing-free images are obtained using parallel imaging. In the neurological examples presented, the CG-SENSE algorithm [42] was chosen due to its stable convergence properties and its ability to reconstruct arbitrarily sampled data. In simulations as well as in different in vivo neurological applications, no unwanted contrast contributions could be observed in radial TSE images reconstructed with the proposed method. Since this novel approach is easy to implement on today's scanners and requires low computational power, it might be valuable for the clinical breakthrough of radial TSE acquisitions. In Chapter 5, an auto-calibrating method was introduced to correct for stimulated echo contribu- tions to T2 estimates from a mono-exponential fit of multi spin-echo (MSE) data. Quantification of T2 is a useful tool in clinical routine for the detection and diagnosis of diseases as well as for tis- sue characterization. Due to technical imperfections, refocusing flip angles in a MSE acquisition deviate from the ideal value of 180○. This gives rise to significant stimulated echo contributions to the overall signal evolution. Therefore, T2 estimates obtained from MSE acquisitions typically are notably higher than the reference. To obtain accurate T2 estimates from MSE acquisitions, MSE signal amplitudes can be predicted using the extended phase graph (EPG, [23, 24]) algo- rithm. Subsequently, a correction factor can be obtained from the simulated EPG T2 value and applied to the MSE T2 estimates. However, EPG calculations require knowledge about refocus- ing pulse amplitudes, T2 and T1 values and the temporal spacing of subsequent echoes. While the echo spacing is known and, as shown in simulations, an approximate T1 value can be assumed for high ratios of T1/T2 without compromising accuracy of the results, the remaining two parameters are estimated from the data themselves. An estimate for the refocusing flip angle can be obtained from the signal intensity ratio of the second to the first echo using EPG. A conventional mono- exponential fit of the MSE data yields a first estimate for T2. The T2 correction is then obtained iteratively by updating the T2 value used for EPG calculations in each step. For all examples pre- sented, two iterations proved to be sufficient for convergence. In the proposed method, a mean flip angle is extracted across the slice. As shown in simulations, this assumption leads to greatly reduced deviations even for more inhomogeneous slice profiles. The accuracy of corrected T2 values was shown in experiments using a phantom consisting of bottles filled with liquids with a wide range of different T2 values. While T2 MSE estimates were shown to deviate significantly from the spin-echo reference values, this is not the case for corrected T2 values. Furthermore, applicability was demonstrated for in vivo neurological experiments. In Chapter 6, a new auto-calibrating parallel imaging method called iterative GROG was pre- sented for the reconstruction of non-Cartesian data. A wide range of different non-Cartesian schemes have been proposed for data acquisition in MRI, that present various advantages over conventional Cartesian sampling such as faster acquisitions, improved dynamic imaging and in- trinsic motion correction. However, one drawback of non-Cartesian data is the more complicated reconstruction, which is ever more problematic for non-Cartesian parallel imaging techniques. Iterative GROG uses Calibrationless Parallel Imaging by Structured Low-Rank Matrix Completion (CPI) for data reconstruction. Since CPI requires points on a Cartesian grid, it cannot be used to directly reconstruct non-Cartesian data. Instead, Grappa Operator Gridding (GROG) is employed in a first step to move the non-Cartesian points to the nearest Cartesian grid locations. However, GROG requires a fully sampled center region of k-space for calibration. Combining both methods in an iterative scheme, accurate GROG weights can be obtained even from highly undersampled non-Cartesian data. Subsequently, CPI can be used to reconstruct either full k- space or a calibration area of arbitrary size, which can then be employed for data reconstruction with conventional parallel imaging methods. In Chapter 7, a new 2D sampling scheme was introduced consisting of multiple oscillating effi- cient trajectories (MOET), that is optimized for Compressed Sensing (CS) reconstructions. For successful CS reconstruction of a particular data set, some requirements have to be met. First, ev- ery data sample has to carry information about the whole object, which is automatically fulfilled for the Fourier sampling employed in MRI. Additionally, the image to be reconstructed has to be sparse in an arbitrary domain, which is true for a number of different applications. Last, data sam- pling has to be performed in an incoherent fashion. For 2D imaging, this important requirement of CS is difficult to achieve with conventional Cartesian and non-Cartesian sampling schemes. Ra- dial sampling is often used for CS reconstructions of dynamic data despite the streaking present in undersampled images. To obtain incoherent aliasing artifacts in undersampled images while at the same time preserving the advantages of radial sampling for dynamic imaging, MOET com- bines radial spokes with oscillating gradients of varying amplitude and alternating orientation orthogonal to the readout direction. The advantage of MOET over radial sampling in CS re- constructions was demonstrated in simulations and in in vivo cardiac imaging. MOET provides superior results especially when used in CS reconstructions with a sparsity constraint directly in image space. Here, accurate results could be obtained even from few MOET projections, while the coherent streaking artifacts present in the case of radial sampling prevent image recovery even for smaller acceleration factors. For CS reconstructions of dynamic data with sparsity constraint in xf-space, the advantage of MOET is smaller since the temporal reordering is responsible for an important part of incoherency. However, as was shown in simulations of a moving phantom and in the reconstruction of ungated cardiac data, the additional spatial incoherency provided by MOET still leads to improved results with higher accuracy and may allow reconstructions with higher acceleration factors.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@phdthesis{Joseph2013,
  author    = {Joseph, Arun Antony},
  title     = {Real-time MRI of Moving Spins Using Undersampled Radial FLASH},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-94000},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2013},
  abstract  = {Nuclear spins in motion is an intrinsic component of any dynamic process when studied using magnetic resonance imaging (MRI). Moving spins define many functional characteristics of the human body such as diffusion, perfusion and blood flow. Quantitative MRI of moving spins can provide valuable information about the human physiology or of a technical system. In particular, phase-contrast MRI, which is based on two images with and without a flow-encoding gradient, has emerged as an important diagnostic tool in medicine to quantify human blood flow. Unfortunately, however, its clinical usage is hampered by long acquisition times which only provide mean data averaged across multiple cardiac cycles and therefore preclude Monitoring the immediate physiological responses to stress or exercise. These limitations are expected to be overcome by real-time imaging which constitutes a primary aim of this thesis. Short image acquisition times, as the core for real-time phase-contrast MRI, can be mainly realized through undersampling of the acquired data. Therefore the development focused on related technical aspects such as pulse sequence design, k-space encoding schemes and image reconstruction. A radial encoding scheme was experimentally found to be robust to motion and less sensitive to undersampling than Cartesian encoding. Radial encoding was combined with a FLASH acquisition technique for building an efficient real-time phase-contrast MRI sequence. The sequence was further optimized through overlapping of gradients to achieve the shortest possible echo time. Regularized nonlinear inverse reconstruction (NLINV), a technique which jointly estimates the image content and its corresponding coil sensitivities, was used for image reconstruction. NLINV was adapted specifically for phase-contrast MRI to produce both Magnitude images and phase-contrast maps. Real-time phase-contrast MRI therefore combined two highly undersampled (up to a factor of 30) radial gradient-echo acquisitions with and without a flow-encoding gradient with modified NLINV reconstructions. The developed method achieved real-time phase-contrast MRI at both high spatial (1.3 mm) and temporal resolution (40 ms). Applications to healthy human subjects as well as preliminary studies of patients demonstrated real-time phase-contrast MRI to offer improved patient compliance (e.g., free breathing) and immediate access to physiological variations of flow parameters (e.g., response to enhanced intrathoracic pressure). In most cases, quantitative blood flow was measured in the ascending aorta as an important blood vessel of the cardiovascular circulation system commonly studied in the clinic. The performance of real-time phase-contrast MRI was validated in comparison to standard Cine phase-contrast MRI using studies of flow phantoms as well as under in vivo conditions. The evaluations confirmed good agreement for comparable results. As a further extension to real-time phase-contrast MRI, this thesis implemented and explored a dual-echo phase-contrast MRI method which employs two sequential gradient echoes with and without flow encoding. The introduction of a flow-encoding gradient in between the two echoes aids in the further reduction of acquisition time. Although this technique was efficient under in vitro conditions, in vivo studies showed the influence of additional motion-induced Phase contributions. Due to these additional temporal phase information, the approach showed Little promise for quantitative flow MRI. As a further method three-dimensional real-time phase-contrast MRI was developed in this thesis to visualize and quantify multi-directional flow at about twice the measuring time of the standard real-time MRI method, i.e. at about 100 ms temporal resolution. This was achieved through velocity mapping along all three physical gradient directions. Although the method is still too slow to adequately cover cardiovascular blood flow, the preliminary results were found to be promising for future applications in tissues and organ systems outside the heart. Finally, future developments are expected to benefit from the adaptation of model-based reconstruction techniques to real-time phase-contrast MRI.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@phdthesis{Gold2023,
  author    = {Gold, Lukas},
  title     = {Methods for the state estimation of lithium-ion batteries},
  doi       = {10.25972/OPUS-30618},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-306180},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {This work introduced the reader to all relevant fields to tap into an ultrasound-based state of charge estimation and provides a blueprint for the procedure to achieve and test the fundamentals of such an approach. It spanned from an in-depth electrochemical characterization of the studied battery cells over establishing the measurement technique, digital processing of ultrasonic transmission signals, and characterization of the SoC dependent property changes of those signals to a proof of concept of an ultrasound-based state of charge estimation. The State of the art \& theoretical background chapter focused on the battery section on the mechanical property changes of lithium-ion batteries during operation. The components and the processes involved to manufacture a battery cell were described to establish the fundamentals for later interrogation. A comprehensive summary of methods for state estimation was given and an emphasis was laid on mechanical methods, including a critical review of the most recent research on ultrasound-based state estimation. Afterward, the fundamentals of ultrasonic non-destructive evaluation were introduced, starting with the sound propagation modes in isotropic boundary-free media, followed by the introduction of boundaries and non-isotropic structure to finally approach the class of fluid-saturated porous media, which batteries can be counted to. As the processing of the ultrasonic signals transmitted through lithium-ion battery cells with the aim of feature extraction was one of the main goals of this work, the fundamentals of digital signal processing and methods for the time of flight estimation were reviewed and compared in a separate section. All available information on the interrogated battery cell and the instrumentation was collected in the Experimental methods \& instrumentation chapter, including a detailed step-by-step manual of the process developed in this work to create and attach a sensor stack for ultrasonic interrogation based on low-cost off-the-shelf piezo elements. The Results \& discussion chapter opened with an in-depth electrochemical and post-mortem interrogation to reverse engineer the battery cell design and its internal structure. The combination of inductively coupled plasma-optical emission spectrometry and incremental capacity analysis applied to three-electrode lab cells, constructed from the studied battery cell's materials, allowed to identify the SoC ranges in which phase transitions and staging occur and thereby directly links changes in the ultrasonic signal properties with the state of the active materials, which makes this work stand out among other studies on ultrasound-based state estimation. Additional dilatometer experiments were able to prove that the measured effect in ultrasonic time of flight cannot originate from the thickness increase of the battery cells alone, as this thickness increase is smaller and in opposite direction to the change in time of flight. Therefore, changes in elastic modulus and density have to be responsible for the observed effect. The construction of the sensor stack from off-the-shelf piezo elements, its electromagnetic shielding, and attachment to both sides of the battery cells was treated in a subsequent section. Experiments verified the necessity of shielding and its negligible influence on the ultrasonic signals. A hypothesis describing the metal layer in the pouch foil to be the transport medium of an electrical coupling/distortion between sending and receiving sensor was formulated and tested. Impedance spectroscopy was shown to be a useful tool to characterize the resonant behavior of piezo elements and ensure the mechanical coupling of such to the surface of the battery cells. The excitation of the piezo elements by a raised cosine (RCn) waveform with varied center frequency in the range of 50 kHz to 250 kHz was studied in the frequency domain and the influence of the resonant behavior, as identified prior by impedance spectroscopy, on waveform and frequency content was evaluated to be uncritical. Therefore, the forced oscillation produced by this excitation was assumed to be mechanically coupled as ultrasonic waves into the battery cells. The ultrasonic waves transmitted through the battery cell were recorded by piezo elements on the opposing side. A first inspection of the raw, unprocessed signals identified the transmission of two main wave packages and allowed the identification of two major trends: the time of flight of ultrasonic wave packages decreases with the center frequency of the RCn waveform, and with state of charge. These trends were to be assessed further in the subsequent sections. Therefore, methods for the extraction of features (properties) from the ultrasonic signals were established, compared, and tested in a dedicated section. Several simple and advanced thresholding methods were compared with envelope-based and cross-correlation methods to estimate the time of flight (ToF). It was demonstrated that the envelope-based method yields the most robust estimate for the first and second wave package. This finding is in accordance with the literature stating that an envelope-based method is best suited for dispersive, absorptive media [204], to which lithium-ion batteries are counted. Respective trends were already suggested by the heatmap plots of the raw signals vs. RCn frequency and SoC. To enable such a robust estimate, an FIR filter had to be designed to preprocess the transmitted signals and thereby attenuate frequency components that verifiably lead to a distorted shape of the envelope. With a robust ToF estimation method selected, the characterization of the signal properties ToF and transmitted energy content (EC) was performed in-depth. A study of cycle-to-cycle variations unveiled that the signal properties are affected by a long rest period and the associated relaxation of the multi-particle system "battery cell" to equilibrium. In detail, during cycling, the signal properties don't reach the same value at a given SoC in two subsequent cycles if the first of the two cycles follows a long rest period. In accordance with the literature, a break-in period, making up for more than ten cycles post-formation, was observed. During this break-in period, the mechanical properties of the system are said to change until a steady state is reached [25]. Experiments at different C-rate showed that ultrasonic signal properties can sense the non-equilibrium state of a battery cell, characterized by an increasing area between charge and discharge curve of the respective signal property vs. SoC plot. This non-equilibrium state relaxes in the rest period following the discharge after the cut-off voltage is reached. The relaxation in the rest period following the charge is much smaller and shows little C-rate dependency as the state is prepared by constant voltage charging at the end of charge voltage. For a purely statistical SoC estimation approach, as employed in this work, where only instantaneous measurements are taken into account and the historic course of the measurement is not utilized as a source of information, the presence of hysteresis and relaxation leads to a reduced estimation accuracy. Future research should address this issue or even utilize the relaxation to improve the estimation accuracy, by incorporating historic information, e.g., by using the derivative of a signal property as an additional feature. The signal properties were then tested for their correlation with SoC as a function of RCn frequency. This allowed identifying trends in the behavior of the signal properties as a function of RCn frequency and C-rate in a condensed fashion and thereby enabled to predict the frequency range, about 50 kHz to 125 kHz, in which the course of the signal properties is best suited for SoC estimation. The final section provided a proof of concept of the ultrasound-based SoC estimation, by applying a support vector regression (SVR) to before thoroughly studied ultrasonic signal properties, as well as current and battery cell voltage. The included case study was split into different parts that assessed the ability of an SVR to estimate the SoC in a variety of scenarios. Seven battery cells, prepared with sensor stacks attached to both faces, were used to generate 14 datasets. First, a comparison of self-tests, where a portion of a dataset is used for training and another for testing, and cross-tests, which use the dataset of one cell for training and the dataset of another for testing, was performed. A root mean square error (RMSE) of 3.9\% to 4.8\% SoC and 3.6\% to 10.0\% SoC was achieved, respectively. In general, it was observed that the SVR is prone to overestimation at low SoCs and underestimation at high SoCs, which was attributed to the pronounced hysteresis and relaxation of the ultrasonic signal properties in this SoC ranges. The fact that higher accuracy is achieved, if the exact cell is known to the model, indicates that a variation between cells exists. This variation between cells can originate from differences in mechanical properties as a result of production variations or from differences in manual sensor placement, mechanical coupling, or resonant behavior of the ultrasonic sensors. To mitigate the effect of the cell-to-cell variations, a test was performed, where the datasets of six out of the seven cells were combined as training data, and the dataset of the seventh cell was used for testing. This reduced the spread of the RMSE from (3.6 - 10.0)\% SoC to (5.9 - 8.5)\% SoC, respectively, once again stating that a databased approach for state estimation becomes more reliable with a large data basis. Utilizing self-tests on seven datasets, the effect of additional features on the state estimation result was tested. The involvement of an additional feature did not necessarily improve the estimation accuracy, but it was shown that a combination of ultrasonic and electrical features is superior to the training with these features alone. To test the ability of the model to estimate the SoC in unknown cycling conditions, a test was performed where the C-rate of the test dataset was not included in the training data. The result suggests that for practical applications it might be sufficient to perform training with the boundary of the use cases in a controlled laboratory environment to handle the estimation in a broad spectrum of use cases. In comparison with literature, this study stands out by utilizing and modifying off-the-shelf piezo elements to equip state-of-the-art lithium-ion battery cells with ultrasonic sensors, employing a range of center frequencies for the waveform, transmitted through the battery cell, instead of a fixed frequency and by allowing the SVR to choose the frequency that yields the best result. The characterization of the ultrasonic signal properties as a function of RCn frequency and SoC and the assignment of characteristic changes in the signal properties to electrochemical processes, such as phase transitions and staging, makes this work unique. By studying a range of use cases, it was demonstrated that an improved SoC estimation accuracy can be achieved with the aid of ultrasonic measurements - thanks to the correlation of the mechanical properties of the battery cells with the SoC.},
  subject      = {Lithium-Ionen-Akkumulator},
  language  = {en}
}
@phdthesis{Portmann2023,
  author    = {Portmann, Johannes},
  title     = {Accelerated inversion recovery MRI of the myocardium using spiral acquisition},
  doi       = {10.25972/OPUS-30282},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-302822},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {This work deals with the acceleration of cardiovascular MRI for the assessment of functional information in steady-state contrast and for viability assessment during the inversion recovery of the magnetization. Two approaches are introduced and discussed in detail. MOCO-MAP uses an exponential model to recover dynamic image data, IR-CRISPI, with its low-rank plus sparse reconstruction, is related to compressed sensing. MOCO-MAP is a successor to model-based acceleration of parametermapping (MAP) for the application in the myocardial region. To this end, it was augmented with a motion correction (MOCO) step to allow exponential fitting the signal of a still object in temporal direction. Iteratively, this introduction of prior physical knowledge together with the enforcement of consistency with the measured data can be used to reconstruct an image series from distinctly shorter sampling time than the standard exam (< 3 s opposed to about 10 s). Results show feasibility of the method as well as detectability of delayed enhancement in the myocardium, but also significant discrepancies when imaging cardiac function and artifacts caused already by minor inaccuracy of the motion correction. IR-CRISPI was developed from CRISPI, which is a real-time protocol specifically designed for functional evaluation of image data in steady-state contrast. With a reconstruction based on the separate calculation of low-rank and sparse part, it employs a softer constraint than the strict exponential model, which was possible due to sufficient temporal sampling density via spiral acquisition. The low-rank plus sparse reconstruction is fit for the use on dynamic and on inversion recovery data. Thus, motion correction is rendered unnecessary with it. IR-CRISPI was equipped with noise suppression via spatial wavelet filtering. A study comprising 10 patients with cardiac disease show medical applicability. A comparison with performed traditional reference exams offer insight into diagnostic benefits. Especially regarding patients with difficulty to hold their breath, the real-time manner of the IR-CRISPI acquisition provides a valuable alternative and an increase in robustness. In conclusion, especially with IR-CRISPI in free breathing, a major acceleration of the cardiovascular MR exam could be realized. In an acquisition of less than 100 s, it not only includes the information of two traditional protocols (cine and LGE), which take up more than 9.6 min, but also allows adjustment of TI in retrospect and yields lower artifact level with similar image quality.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@phdthesis{Kiermasch2020,
  author    = {Kiermasch, David},
  title     = {Charge Carrier Recombination Dynamics in Hybrid Metal Halide Perovskite Solar Cells},
  doi       = {10.25972/OPUS-20862},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-208629},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2020},
  abstract  = {In order to facilitate the human energy needs with renewable energy sources in the future, new concepts and ideas for the electricity generation are needed. Solar cells based on metal halide perovskite semiconductors represent a promising approach to address these demands in both single-junction and tandem configurations with existing silicon technology. Despite intensive research, however, many physical properties and the working principle of perovskite PVs are still not fully understood. In particular, charge carrier recombination losses have so far mostly been studied on pure films not embedded in a complete solar cell. This thesis aimed for the identification and quantification of charge carrier recombination dynamics in fully working devices under conditions corresponding to those under real operation. To study different PV systems, transient electrical methods, more precisely Open-Circuit Voltage Decay (OCVD), Transient Photovoltage (TPV) and Charge Extraction (CE), were applied. Whereas OCVD and TPV provide information about the recombination lifetime, CE allows to access the charge carrier density at a specific illumination intensity. The benefit of combining these different methods is that the obtained quantities can not only be related to the Voc but also to each other, thus enabling to determine also the dominant recombination mechanisms.The aim of this thesis is to contribute to a better understanding of recombination losses in fully working perovskite solar cells and the experimental techniques which are applied to determine these losses.},
  subject      = {Solarzelle},
  language  = {en}
}
@phdthesis{GraetzgebDittmann2022,
  author    = {Graetz [geb. Dittmann], Jonas},
  title     = {X-Ray Dark-Field Tensor Tomography : a Hitchhiker's Guide to Tomographic Reconstruction and Talbot Imaging},
  doi       = {10.25972/OPUS-28143},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-281437},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2022},
  abstract  = {X-ray dark-field imaging allows to resolve the conflict between the demand for centimeter scaled fields of view and the spatial resolution required for the characterization of fibrous materials structured on the micrometer scale. It draws on the ability of X-ray Talbot interferometers to provide full field images of a sample's ultra small angle scattering properties, bridging a gap of multiple orders of magnitude between the imaging resolution and the contrasted structure scale. The correspondence between shape anisotropy and oriented scattering thereby allows to infer orientations within a sample's microstructure below the imaging resolution. First demonstrations have shown the general feasibility of doing so in a tomographic fashion, based on various heuristic signal models and reconstruction approaches. Here, both a verified model of the signal anisotropy and a reconstruction technique practicable for general imaging geometries and large tensor valued volumes is developed based on in-depth reviews of dark-field imaging and tomographic reconstruction techniques. To this end, a wide interdisciplinary field of imaging and reconstruction methodologies is revisited. To begin with, a novel introduction to the mathematical description of perspective projections provides essential insights into the relations between the tangible real space properties of cone beam imaging geometries and their technically relevant description in terms of homogeneous coordinates and projection matrices. Based on these fundamentals, a novel auto-calibration approach is developed, facilitating the practical determination of perspective imaging geometries with minimal experimental constraints. A corresponding generalized formulation of the widely employed Feldkamp algorithm is given, allowing fast and flexible volume reconstructions from arbitrary tomographic imaging geometries. Iterative reconstruction techniques are likewise introduced for general projection geometries, with a particular focus on the efficient evaluation of the forward problem associated with tomographic imaging. A highly performant 3D generalization of Joseph's classic linearly interpolating ray casting algorithm is developed to this end and compared to typical alternatives. With regard to the anisotropic imaging modality required for tensor tomography, X-ray dark-field contrast is extensively reviewed. Previous literature is brought into a joint context and nomenclature and supplemented by original work completing a consistent picture of the theory of dark-field origination. Key results are explicitly validated by experimental data with a special focus on tomography as well as the properties of anisotropic fibrous scatterers. In order to address the pronounced susceptibility of interferometric images to subtle mechanical imprecisions, an efficient optimization based evaluation strategy for the raw data provided by Talbot interferometers is developed. Finally, the fitness of linear tensor models with respect to the derived anisotropy properties of dark-field contrast is evaluated, and an iterative scheme for the reconstruction of tensor valued volumes from projection images is proposed. The derived methods are efficiently implemented and applied to fiber reinforced plastic samples, imaged at the ID19 imaging beamline of the European Synchrotron Radiation Facility. The results represent unprecedented demonstrations of X-ray dark-field tensor tomography at a field of view of 3-4cm, revealing local fiber orientations of both complex shaped and low-contrast samples at a spatial resolution of 0.1mm in 3D. The results are confirmed by an independent micro CT based fiber analysis.},
  subject      = {Dreidimensionale Rekonstruktion},
  language  = {en}
}
@phdthesis{Slawig2018,
  author    = {Slawig, Anne},
  title     = {Reconstruction methods for the frequency-modulated balanced steady-state free precession MRI-sequence},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-162871},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2018},
  abstract  = {This work considered the frequency-modulated balanced steady-state free precession (fm-bSSFP) sequence as a tool to provide banding free bSSFP MR images. The sequence was implemented and successfully applied to suppress bandings in various in vitro and in vivo examples. In combination with a radial trajectory it is a promising alternative for standard bSSFP applications. First, two specialized applications were shown to establish the benefits of the acquisition strategy in itself. In real time cardiac imaging, it was shown that the continuous shift in frequency causes a movement of the bandings across the FOV. Thus, no anatomical region is constantly impaired, and a suitable timeframe can be found to examine all important structures. Furthermore, a combination of images with different artifact positions, similar to phase-cycled acquisitions is possible. In this way, fast, banding-free imaging of the moving heart was realized. Second, acquisitions with long TR were shown. While standard bSSFP suffers from increasing incidence of bandings with higher TR values, the frequency-modulated approach provided banding free images, regardless of the TR. A huge disadvantage of fm-bSSFP, in combination with the radial trajectory, is the decrease in signal intensity. In this work a specialized reconstruction method, the multifrequency reconstruction for frequency-modulated bSSFP (Muffm), was established, which successfully compensated that phenomena. The application of Muffm to several anatomical sites, such as inner ear, legs and cardiac acquisitions, proofed the advantageous SNR of the reconstruction. Furthermore, fm-bSSFP was applied to the clinically highly relevant task of water-fat separation. Former approaches of a phase-sensitive separation procedure in combination with standard bSSFP showed promising results but failed in cases of high inhomogeneity or high field strengths where banding artifacts become a major issue. The novel approach of using the fm-bSSFP acquisition strategy with the separation approach provided robust, reliable images of high quality. Again, losses in signal intensity could be regained by Muffm, as both approaches are completely compatible. Opposed to conventional banding suppression techniques, like frequency-scouts or phase-cycling, all reconstruction methods established in this work rely on a single radial acquisition, with scan times similar to standard bSSFP scans. No prolonged measurement times occur and patient time in the scanner is kept as short as possible, improving patient comfort, susceptibility to motion or physiological noise and cost of one scan. All in all, the frequency-modulated acquisition in combination with specializes reconstruction methods, leads to a completely new quality of images with short acquisition times.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@unpublished{Dandekar2022,
  author    = {Dandekar, Thomas},
  title     = {Qubit transition into defined Bits: A fresh perspective for cosmology and unifying theories},
  doi       = {10.25972/OPUS-26641},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-266418},
  pages     = {42},
  year      = {2022},
  abstract  = {In this view point we do not change cosmology after the hot fireball starts (hence agrees well with observation), but the changed start suggested and resulting later implications lead to an even better fit with current observations (voids, supercluster and galaxy formation; matter and no antimatter) than the standard model with big bang and inflation: In an eternal ocean of qubits, a cluster of qubits crystallizes to defined bits. The universe does not jump into existence ("big bang") but rather you have an eternal ocean of qubits in free super-position of all their quantum states (of any dimension, force field and particle type) as permanent basis. The undefined, boiling vacuum is the real "outside", once you leave our everyday universe. A set of n Qubits in the ocean are "liquid", in very undefined state, they have all their m possibilities for quantum states in free superposition. However, under certain conditions the qubits interact, become defined, and freeze out, crystals form and give rise to a defined, real world with all possible time series and world lines. GR holds only within the crystal. In our universe all n**m quantum possibilities are nicely separated and crystallized out to defined bit states: A toy example with 6 qubits each having 2 states illustrates, this is completely sufficient to encode space using 3 bits for x,y and z, 1 bit for particle type and 2 bits for its state. Just by crystallization, space, particles and their properties emerge from the ocean of qubits, and following the arrow of entropy, time emerges, following an arrow of time and expansion from one corner of the toy universe to everywhere else. This perspective provides time as emergent feature considering entropy: crystallization of each world line leads to defined world lines over their whole existence, while entropy ensures direction of time and higher representation of high entropy states considering the whole crystal and all slices of world lines. The crystal perspective is also economic compared to the Everett-type multiverse, each qubit has its m quantum states and n qubits interacting forming a crystal and hence turning into defined bit states has only n**m states and not more states. There is no Everett-type world splitting with every decision but rather individual world trajectories reside in individual world layers of the crystal. Finally, bit-separated crystals come and go in the qubit ocean, selecting for the ability to lay seeds for new crystals. This self-organizing reproduction selects over generations also for life-friendliness. Mathematical treatment introduces quantum action theory as a framework for a general lattice field theory extending quantum chromo dynamics where scalar fields for color interaction and gravity have to be derived from the permeating qubit-interaction field. Vacuum energy should get appropriately low by the binding properties of the qubit crystal. Connections to loop quantum gravity, string theory and emergent gravity are discussed. Standard physics (quantum computing; crystallization, solid state physics) allow validation tests of this perspective and will extend current results.},
  language  = {en}
}
@phdthesis{Balzer2018,
  author    = {Balzer, Christian},
  title     = {Adsorption-Induced Deformation of Nanoporous Materials — in-situ Dilatometry and Modeling},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-157145},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2018},
  abstract  = {The goal of this work is to improve the understanding of adsorption-induced deformation in nanoporous (and in particular microporous) materials in order to explore its potential for material characterization and provide guidelines for related technical applications such as adsorption-driven actuation. For this purpose this work combines in-situ dilatometry measurements with in-depth modeling of the obtained adsorption-induced strains. A major advantage with respect to previous studies is the combination of the dilatometric setup and a commercial sorption instrument resulting in high quality adsorption and strain isotherms. The considered model materials are (activated and thermally annealed) carbon xerogels, a sintered silica aerogel, a sintered hierarchical structured porous silica and binderless zeolites of type LTA and FAU; this selection covers micro-, meso- and macroporous as well as ordered and disordered model materials. All sample materials were characterized by scanning electron microscopy, gas adsorption and sound velocity measurements. In-situ dilatometry measurements on mesoporous model materials were performed for the adsorption of N2 at 77 K, while microporous model materials were also investigated for CO2 adsorption at 273 K, Ar adsorption at 77 K and H2O adsorption at 298 K. Within this work the available in-situ dilatometry setup was revised to improve resolution and reproducibility of measurements of small strains at low relative pressures, which are of particular relevance for microporous materials. The obtained experimental adsorption and strain isotherms of the hierarchical structured porous silica and a micro-macroporous carbon xerogel were quantitatively analyzed based on the adsorption stress model; this approach, originally proposed by Ravikovitch and Neimark, was extended for anisotropic pore geometries within this work. While the adsorption in silica mesopores could be well described by the classical and analytical theory of Derjaguin, Broekhoff and de Boer, the adsorption in carbon micropores required for comprehensive nonlocal density functional theory calculations. To connect adsorption-induced stresses and strains, furthermore mechanical models for the respective model materials were derived. The resulting theoretical framework of adsorption, adsorption stress and mechanical model was applied to the experimental data yielding structural and mechanical information about the model materials investigated, i.e., pore size or pore size distribution, respectively, and mechanical moduli of the porous matrix and the nonporous solid skeleton. The derived structural and mechanical properties of the model materials were found to be consistent with independent measurements and/or literature values. Noteworthy, the proposed extension of the adsorption stress model proved to be crucial for the correct description of the experimental data. Furthermore, it could be shown that the adsorption-induced deformation of disordered mesoporous aero-/xerogel structures follows qualitatively the same mechanisms obtained for the ordered hierarchical structured porous silica. However, respective quantitative modeling proved to be challenging due to the ill-shaped pore geometry of aero-/xerogels; good agreement between model and experiment could only be achieved for the filled pore regime of the adsorption isotherm and the relative pressure range of monolayer formation. In the intermediate regime of multilayer formation a more complex model than the one proposed here is required to correctly describe stress related to the curved adsorbate-adsorptive interface. Notably, for micro-mesoporous carbon xerogels it could be shown that micro- and mesopore related strain mechanisms superimpose one another. The strain isotherms of the zeolites were only qualitatively evaluated. The result for the FAU type zeolite is in good agreement with other experiments reported in literature and the theoretical understanding derived from the adsorption stress model. On the contrary, the strain isotherm of the LTA type zeolite is rather exceptional as it shows monotonic expansion over the whole relative pressure range. Qualitatively this type of strain isotherm can also be explained by the adsorption stress model, but a respective quantitative analysis is beyond the scope of this work. In summary, the analysis of the model materials' adsorption-induced strains proved to be a suitable tool to obtain information on their structural and mechanical properties including the stiffness of the nonporous solid skeleton. Investigations on the carbon xerogels modified by activation and thermal annealing revealed that adsorption-induced deformation is particularly suited to analyze even small changes of carbon micropore structures.},
  subject      = {Nanopor{\"o}ser Stoff},
  language  = {en}
}
@phdthesis{Matthaiakakis2021,
  author    = {Matthaiakakis, Ioannis},
  title     = {Hydrodynamics in Solid State Systems and the AdS/CFT correspondence},
  doi       = {10.25972/OPUS-24439},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-244390},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2021},
  abstract  = {We employ the AdS/CFT correspondence and hydrodynamics to analyze the transport properties of \(2+1\) dimensional electron fluids. In this way, we use theoretical methods from both condensed matter and high-energy physics to derive tangible predictions that are directly verifiable in experiment. The first research topic we consider is strongly-coupled electron fluids. Motivated by early results by Gurzhi on the transport properties of weakly coupled fluids, we consider whether similar properties are manifest in strongly coupled fluids. More specifically, we focus on the hydrodynamic tail of the Gurzhi effect: A decrease in fluid resistance with increasing temperature due to the formation of a Poiseuille flow of electrons in the sample. We show that the hydrodynamic tail of the Gurzhi effect is also realized in strongly coupled and fully relativistic fluids, but with modified quantitative features. Namely, strongly-coupled fluids always exhibit a smaller resistance than weakly coupled ones and are, thus, far more efficient conductors. We also suggest that the coupling dependence of the resistance can be used to measure the coupling strength of the fluid. In view of these measurements, we provide analytical results for the resistance as a function of the shear viscosity over entropy density \(\eta/s\) of the fluid. \(\eta/s\) is itself a known function of the coupling strength in the weak and infinite coupling limits. In further analysis for strongly-coupled fluids, we propose a novel strongly coupled Dirac material based on a kagome lattice, Scandium-substituted Herbertsmithite (ScHb). The large coupling strength of this material, as well as its Dirac nature, provides us with theoretical and experimental access to non-perturbative relativistic and quantum critical physics. A highly suitable method for analyzing such a material's transport properties is the AdS/CFT correspondence. Concretely, using AdS/CFT we derive an estimate for ScHb's \(\eta/s\) and show that it takes a value much smaller than that observed in weakly coupled materials. In turn, the smallness of \(\eta/s\) implies that ScHb's Reynolds number, \(Re\), is large. In fact, \(Re\) is large enough for turbulence, the most prevalent feature of fluids in nature, to make its appearance for the first time in electronic fluids. Switching gears, we proceed to the second research topic considered in this thesis: Weakly coupled parity-breaking electron fluids. More precisely, we analyze the quantitative and qualitative changes to the classical Hall effect, for electrons propagating hydrodynamically in a lead. Apart from the Lorentz force, a parity-breaking fluid's motion is also impacted by the Hall-viscous force; the shear-stress force induced by the Hall-viscosity. We show that the interplay of these two forces leads to a hydrodynamic Hall voltage with non-linear dependence on the magnetic field. More importantly, the Lorentz and Hall-viscous forces become equal at a non-vanishing magnetic field, leading to a trivial hydrodynamic Hall voltage. Moreover, for small magnetic fields we provide analytic results for the dependence of the hydrodynamic Hall voltage on all experimentally-tuned parameters of our simulations, such as temperature and density. These dependences, along with the zero of the hydrodynamic Hall voltage, are distinct features of hydrodynamic transport and can be used to verify our predictions in experiments. Last but not least, we consider how a distinctly electronic property, spin, can be included into the hydrodynamic framework. In particular, we construct an effective action for non-dissipative spin hydrodynamics up to first order in a suitably defined derivative expansion. We also show that interesting spin-transport effects appear at second order in the derivative expansion. Namely, we show that the fluid's rotation polarizes its spin. This is the hydrodynamic manifestation of the Barnett effect and provides us with an example of hydrodynamic spintronics. To conclude this thesis, we discuss several possible extensions of our research, as well as proposals for research in related directions.},
  subject      = {Hydrodynamics},
  language  = {en}
}
@phdthesis{SoaresMachado2019,
  author    = {Soares Machado, J{\´e}ssica},
  title     = {Dosimetry-based Assessment of Radiation-associated Cancer risk for \(^9\)\(^9\)\(^m\)Tc-MAG3 Scans in Infants and Optimization of Administered Activities for \(^6\)\(^8\)Ga-labelled Peptides in Children and Adolescents},
  doi       = {10.25972/OPUS-19264},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-192640},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {In 2006, 0.18 Mio pediatric nuclear medicine diagnostic exams were performed worldwide. However, for most of the radiopharmaceuticals used data on biokinetics and, as a consequence on dosimetry, are missing or have not been made publicly available. Therefore, most of the dosimetry assessments presented today for diagnostic agents in children and adolescents rely on the biokinetics data of adults. Even for one of the most common nuclear medicine exams for this patient group, renal scintigraphy with 99mTc-MAG3 for assessing renal function measured data on biokinetics is available only from a study performed on four children of different ages. In particular, renal scans are among the most frequent exams performed on infants and toddlers. Due to the young age, this patient group can be classified as a risk group with a higher probability of developing stochastic radiation effects compared to adults. As there are only limited data on biokinetics and dosimetry in this patient group, the aim of this study is to reassess the dosimetry and the associated radiation risk for a larger number of infants undergoing 99mTc-MAG3 renal scans based on a retrospective analysis of existing patient data. Data were collected retrospectively from 34 patients younger than 20 months with normal (20 patients) and abnormal renal function (14 patients) undergoing 99mTc-MAG3 scans. The patient-specific organ activity was estimated based on a retrospective calibration which was performed based on a set of two 3D-printed infant kidneys (newborns: 8.6 ml; 1-year-old: 23.4 ml) filled with known activities. Both phantoms were scanned at different positions along the anteroposterior axis inside a water phantom, providing depth- and size-dependent attenuation correction factors for planar imaging. Time-activity curves were determined by drawing kidney, bladder, and whole body regions-of-interest for each patient, and subsequently applying the calibration factor for conversion of counts to activity. Patient-specific time-integrated activity coefficients were obtained by integrating the organ-specific time-activity curves. Absorbed and effective dose coefficients for each patient were assessed with OLINDA/EXM for the provided newborn and 1-year-old phantom. Based on absorbed dose values, the radiation risk estimation was performed individually for each of the 34 patients with the National Cancer Institute's Radiation Risk Assessment Tool. The patients' organ-specific mean absorbed dose coefficients for the patients with normal renal function were 0.04±0.03 mGy/MBq for the kidneys and 0.27±0.24 mGy/MBq for the bladder. This resulted in a mean effective dose coefficient of 0.02±0.02 mSv/MBq. Based on the dosimetry results, the evaluation of the excess lifetime risk (ELR) for the development of radiation-induced cancer showed that the group of newborns has an ELR of 16.8 per 100,000 persons, which is higher in comparison with the 1-year-old group with an ELR of 14.7 per 100,000 persons. With regard to the 14 patients with abnormal renal function, the mean values for the organ absorbed dose coefficients for the patients were: 0.40±0.34 mGy/MBq for the kidneys and 0.46±0.37 mGy/MBq for the bladder. The corresponding effective dose coefficients (mSv/MBq) was: 0.05±0.02 mSv/MBq. The mean ELR (per 100,000 persons) for developing cancer from radiation exposure for patients with abnormal renal function was 29.2±18.7 per 100,000 persons. As a result, the radiation-associated stochastic risk increases with the organ doses, taking age- and gender-specific influences into account. Overall, the lifetime radiation risk associated with the 99mTc-MAG3 scans is very low in comparison to the general population risk for developing cancer. Furthermore, due to the increasing demand for PET-scans in children and adolescents with 68Ga-labelled peptides, in this work published data sets for those compounds were analyzed to derive recommendations for the administered activities in children and adolescents. The recommendation for the activities to be administered were based on the weight-independent effective dose model, proposed by the EANM Pediatric Dosage Card for application in pediatric nuclear medicine. The aim was to derive recommendations on administered activities for obtaining age-independent effective doses. Consequently, the corresponding weight-dependent effective dose coefficients were rescaled according to the formalism of the EANM dosage card, to determine the radiopharmaceutical class of 68Ga-labeled peptides ("multiples"), and to calculate the baseline activities based on the biokinetics of these compounds and an upper limit of the administered activity of 185 MBq for an adult. Analogous to 18F-fluoride, a minimum activity of 14 MBq is recommended. As a result, for those pediatric nuclear medicine applications involving 68Ga-labeled peptides, new values for the EANM dosage card were proposed and implemented based on the results derived in this work. Overall, despite the low additional radiation-related cancer risk, all efforts should be undertaken to optimize administered activities in children and adolescents for obtaining sufficient diagnostic information with minimal associated radiation risk.},
  subject      = {Biokinetics},
  language  = {en}
}
@phdthesis{Elsholz2019,
  author    = {Elsholz, Markus},
  title     = {Das akademische Selbstkonzept angehender Physiklehrkr{\"a}fte als Teil ihrer professionellen Identit{\"a}t - Dimensionalit{\"a}t und Ver{\"a}nderung w{\"a}hrend einer zentralen Praxisphase},
  doi       = {10.25972/OPUS-17215},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-172153},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2019},
  abstract  = {Die vorliegende Arbeit untersucht die Struktur und die Ver{\"a}nderung des akademischen Selbstkonzepts angehender Physiklehrkr{\"a}fte. Als selbstbezogene Kognition wird es als eine Grundlage der professionellen Identit{\"a}t von Lehrkr{\"a}ften verstanden. Selbstkonzepte bilden sich aus der Kategorisierung selbstrelevanter Informationen, die eine Person in verschiedenen Kontexten sammelt, bewertet und interpretiert. F{\"u}r angehende Lehrkr{\"a}fte wird der professionelle Kontext durch die Struktur und die Inhalte des Lehramtsstudiums gebildet. Daraus folgt die erste zentrale Hypothese der Arbeit: Im akademischen Selbstkonzept angehender Physiklehrkr{\"a}fte lassen sich drei Facetten empirisch trennen, die den inhaltlichen Dom{\"a}nen des Lehramtsstudiums entsprechen. Demnach strukturieren Studierende ihre F{\"a}higkeitszuschreibungen in Bezug auf (1) die Fachwissenschaft Physik, (2) die Fachdidaktik Physik sowie (3) die Erziehungswissenschaften. Konkrete Erfahrungen bilden als Quelle selbstrelevanter Informationen die Basis f{\"u}r den Aufbau bzw. die Ver{\"a}nderung von dom{\"a}nenspezifischen Selbstkonzeptfacetten. Sie stabilisieren das Selbstkonzept, falls sie im Einklang mit dem bisherigen Bild der Person von sich selbst stehen bzw. k{\"o}nnen eine Ver{\"a}nderung des Selbstkonzepts initiieren, wenn sie sich nicht konsistent in dieses Bild einf{\"u}gen lassen. Vor diesem Hintergrund folgt die zweite zentrale Hypothese der vorliegenden Arbeit: W{\"a}hrend der Praxisphasen des Studiums ver{\"a}ndert sich das akademische Selbstkonzept der Studierenden. Die Hypothesen werden mit Ans{\"a}tzen der latenten Modellierung untersucht. Mittels konfirmatorischer Faktorenanalyse wird die empirische Trennbarkeit der drei angenommenen Facetten best{\"a}tigt. In einer querschnittlichen Betrachtung zeigt sich ein deutlicher Einfluss des Geschlechts der Studierenden auf den Zusammenhang zwischen ihrem fachdidaktischen Selbstkonzept und ihrer bisherigen Praxiserfahrung. Die l{\"a}ngsschnittliche Analyse der Ver{\"a}nderung des Selbstkonzepts w{\"a}hrend einer zentralen fachdidaktischen Lehrveranstaltung mit ausgepr{\"a}gten Praxisphasen (Lehr-Lern-Labor-Seminar) wird mit einem latenten Wachstumskurvenmodell untersucht. Das auf die Fachdidaktik Physik bezogene Selbstkonzept steigt w{\"a}hrend des Seminars leicht an, wenn die Studierenden zum Seminarbeginn bereits {\"u}ber Praxiserfahrung verf{\"u}gten. Fehlt diese, so ist ein leichter R{\"u}ckgang in der Auspr{\"a}gung des Selbstkonzepts feststellbar, der f{\"u}r weibliche Studierende st{\"a}rker ausf{\"a}llt als f{\"u}r ihre m{\"a}nnlichen Kommilitonen. Mit den Befunden zu Struktur und Ver{\"a}nderung des akademischen Selbstkonzepts angehender Physiklehrkr{\"a}fte tr{\"a}gt die vorliegende Arbeit dazu bei, die {\"u}berwiegend qualitativen Analysen von Identit{\"a}tsprozessen bei Studierenden durch den Einsatz eines theoretisch fundierten und klar umrissenen Konstrukts um eine quantitative Perspektive zu erg{\"a}nzen.},
  subject      = {Selbstbild},
  language  = {de}
}
@phdthesis{Gram2023,
  author    = {Gram, Maximilian},
  title     = {Neue Methoden der Spin-Lock-basierten Magnetresonanztomographie: Myokardiale T\(_{1ρ}\)-Quantifizierung und Detektion magnetischer Oszillationen im nT-Bereich},
  doi       = {10.25972/OPUS-32255},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-322552},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {Das Ziel der vorliegenden Arbeit war die Entwicklung neuer, robuster Methoden der Spin-Lock-basierten MRT. Im Fokus stand hierbei vorerst die T1ρ-Quantifizierung des Myokards im Kleintiermodell. Neben der T1ρ-Bildgebung bietet Spin-Locking jedoch zus{\"a}tzlich die M{\"o}glichkeit der Detektion ultra-schwacher, magnetischer Feldoszillationen. Die Projekte und Ergebnisse, die im Rahmen dieses Promotionsvorhabens umgesetzt und erzielt wurden, decken daher ein breites Spektrum der Spin-lock basierten Bildgebung ab und k{\"o}nnen grob in drei Bereiche unterteilt werden. Im ersten Schritt wurde die grundlegende Pulssequenz des Spin-Lock-Experimentes durch die Einf{\"u}hrung des balancierten Spin-Locks optimiert. Der zweite Schritt war die Entwicklung einer kardialen MRT-Sequenz f{\"u}r die robuste Quantifizierung der myokardialen T1ρ-Relaxationszeit an einem pr{\"a}klinischen Hochfeld-MRT. Im letzten Schritt wurden Konzepte der robusten T1ρ-Bildgebung auf die Methodik der Felddetektion mittels Spin-Locking {\"u}bertragen. Hierbei wurden erste, erfolgreiche Messungen magnetischer Oszillationen im nT-Bereich, welche lokal im untersuchten Gewebe auftreten, an einem klinischen MRT-System im menschlichen Gehirn realisiert.},
  subject      = {Kernspintomografie},
  language  = {de}
}
@unpublished{Dandekar2023,
  author    = {Dandekar, Thomas},
  title     = {Protein folding and crystallization applied to qubit interactions and fundamental physics yields a modified inflation model for cosmology},
  doi       = {10.25972/OPUS-34615},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-346156},
  pages     = {42},
  year      = {2023},
  abstract  = {Protein folding achieves a clear solution structure in a huge parameter space (the so-called protein folding problem). Proteins fold in water, and get by this a highly ordered structure. Finally, inside a protein crystal for structure resolution, you have everywhere the same symmetries as there is everywhere the same unit cell. We apply this to qubit interactions to do fundamental physics: in a modified cosmology, we replace the big bang by a condensation event in an eternal all-encompassing ocean of free qubits. Interactions of qubits in the qubit ocean are quite rare but provide a nucleus or seed for a new universe (domain) as the qubits become decoherent and freeze-out into defined bit ensembles. Second, we replace inflation by a crystallization event triggered by the nucleus of interacting qubits to which rapidly more and more qubits attach (like in everyday crystal growth). The crystal unit cell guarantees same symmetries everywhere inside the crystal. The textbook inflation scenario to explain the same laws of nature in our domain is replaced by the unit cell of the crystal formed. Interacting qubits solidify, quantum entropy decreases (but increases in the ocean around). In a modified inflation scenario, the interacting qubits form a rapidly growing domain where the n**m states become separated ensemble states, rising long-range forces stop ultimately further growth. Then standard cosmology with the hot fireball model takes over. Our theory agrees well with lack of inflation traces in cosmic background measurements. We explain by cosmological crystallization instead of inflation: early creation of large-scale structure of voids and filaments, supercluster formation, galaxy formation, and the dominance of matter: the unit cell of our crystal universe has a matter handedness avoiding anti-matter. We prove initiation of qubit interactions can only be 1,2,4 or 8-dimensional (agrees with E8 symmetry of our universe). Repulsive forces at ultrashort distances result from quantization, long-range forces limit crystal growth. Crystals come and go in the qubit ocean. This selects for the ability to lay seeds for new crystals, for self-organization and life-friendliness. The phase space of the crystal agrees with the standard model of the basic four forces for n quanta. It includes all possible ensemble combinations of their quantum states m, a total of n**m states. Neighbor states reach according to transition possibilities (S-matrix) with emergent time from entropic ensemble gradients. However, in our four dimensions there is only one bit overlap to neighbor states left (almost solid, only below Planck quantum there is liquidity left). The E8 symmetry of heterotic string theory has six curled-up, small dimensions which help to keep the qubit crystal together and will never expand. Mathematics focusses on the Hurwitz proof applied to qubit interaction, a toy model of qubit interaction and repulsive forces of qubits. Vacuum energy gets appropriate low inside the crystal. We give first energy estimates for free qubits vs bound qubits, misplacements in the qubit crystal and entropy increase during qubit decoherence / crystal formation. Scalar fields for color interaction/confinement and gravity are derived from the qubit-interaction field.},
  language  = {en}
}
@phdthesis{Imhof2023,
  author    = {Imhof, Stefan Michael},
  title     = {The effects of non-Hermiticity and non-linearity on topological phenomena investigated in electric networks},
  doi       = {10.25972/OPUS-32332},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-323329},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {Topological phenomena known from solid state physics have been transferred to a variety of other classical and quantum systems. Due to the equivalence of the Hamiltonian matrix describing tight binding models and the grounded circuit Laplacian describing an electrical circuit we can investigate such phenomena in circuits. By implementing different Hermitian topological models general suggestions on designing those types of circuit are worked out with the aim of minimizing unwanted coupling effects and parasitic admittances in the circuit. Here the existence and the spatial profile of topological states as well as the band structure of the model can be determined. Due to the complex nature of electric admittance the investigations can be directly expanded to systems with broken Hermiticity. The particular advantages of the experimental investigation of non-exclusively topological phenomena by means of electric circuits come to light in the realization of non-Hermitian and non-linear models. Here we find limitation of the Hermitian bulk-boundary correspondence principle, purely real eigenvalues in non-Hermitian PT-symmetrical systems and edge localization of all eigenstates in non-Hermitian and non-reciprocal systems, which in literature is termed the non-Hermitian skin effect. When systems obeying non-linear equations are studied, the grounded circuit Laplacian based on the Fourier-transform cannot be applied anymore. By combination of the connectivity of a topological system together with non-linear van der Pol oscillators self-activated and self-sustained topological edge oscillations can be found. These robust high frequency sinusoidal edge oscillations differ significantly from low frequency relaxation oscillations, which can be found in the bulk of the system.},
  subject      = {Metamaterial},
  language  = {en}
}
@phdthesis{Kleineisel2024,
  author    = {Kleineisel, Jonas},
  title     = {Variational networks in magnetic resonance imaging - Application to spiral cardiac MRI and investigations on image quality},
  doi       = {10.25972/OPUS-34737},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-347370},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2024},
  abstract  = {Acceleration is a central aim of clinical and technical research in magnetic resonance imaging (MRI) today, with the potential to increase robustness, accessibility and patient comfort, reduce cost, and enable entirely new kinds of examinations. A key component in this endeavor is image reconstruction, as most modern approaches build on advanced signal and image processing. Here, deep learning (DL)-based methods have recently shown considerable potential, with numerous publications demonstrating benefits for MRI reconstruction. However, these methods often come at the cost of an increased risk for subtle yet critical errors. Therefore, the aim of this thesis is to advance DL-based MRI reconstruction, while ensuring high quality and fidelity with measured data. A network architecture specifically suited for this purpose is the variational network (VN). To investigate the benefits these can bring to non-Cartesian cardiac imaging, the first part presents an application of VNs, which were specifically adapted to the reconstruction of accelerated spiral acquisitions. The proposed method is compared to a segmented exam, a U-Net and a compressed sensing (CS) model using qualitative and quantitative measures. While the U-Net performed poorly, the VN as well as the CS reconstruction showed good output quality. In functional cardiac imaging, the proposed real-time method with VN reconstruction substantially accelerates examinations over the gold-standard, from over 10 to just 1 minute. Clinical parameters agreed on average. Generally in MRI reconstruction, the assessment of image quality is complex, in particular for modern non-linear methods. Therefore, advanced techniques for precise evaluation of quality were subsequently demonstrated. With two distinct methods, resolution and amplification or suppression of noise are quantified locally in each pixel of a reconstruction. Using these, local maps of resolution and noise in parallel imaging (GRAPPA), CS, U-Net and VN reconstructions were determined for MR images of the brain. In the tested images, GRAPPA delivers uniform and ideal resolution, but amplifies noise noticeably. The other methods adapt their behavior to image structure, where different levels of local blurring were observed at edges compared to homogeneous areas, and noise was suppressed except at edges. Overall, VNs were found to combine a number of advantageous properties, including a good trade-off between resolution and noise, fast reconstruction times, and high overall image quality and fidelity of the produced output. Therefore, this network architecture seems highly promising for MRI reconstruction.},
  subject      = {Kernspintomografie},
  language  = {en}
}
@phdthesis{Meiser2023,
  author    = {Meiser, Elisabeth},
  title     = {Single-molecule dynamics at a bottleneck: a systematic study of the narrow escape problem in a disc},
  doi       = {10.25972/OPUS-31965},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-319650},
  school      = {Universit{\"a}t W{\"u}rzburg},
  year      = {2023},
  abstract  = {Diffusion facilitates numerous reactions within the biological context of a cell. It is remarkable how the cost-efficient random process of Brownian motion promotes fast reactions. From the narrow escape theory, it is possible to determine the mean first passage time of such processes based on their reaction space and diffusion coefficient. The narrow escape theory of Brownian particles is characterized by a confining domain with reflective boundaries and a small reaction site. In this thesis, the mean first passage time was systematically tested in a disc as a function of the escape opening size in vitro and in silico. For the in vitro experiments, a model system of patterned supported-lipid bilayers (SLB) was established. Such a model is prepared by a combined colloid metalization approach, where a gold scaffold on glass facilitates assembly of SLB patches of distinct sizes through vesicle fusion. The model setup was evaluated and found to match all necessary requirements to test the nar- row escape problem in vitro. In particular, the reflectivity of the boundaries, the unhindered, free diffusion of the tracer lipids, and the distinct area were assessed. Observed results of the mean first passage time agreed with the theory of the narrow escape problem. There was excellent agreement in both absolute values and across a range of small escape opening sizes. Additionally, I developed a straightforward method, a correction factor, to calculate the mean first passage time from incomplete experimental traces. By re-scaling the mean first passage time to the fraction of particles that escaped, I was able to overcome the lifetime limitations of fluorescent probes. Previously inaccessible measurements of the mean first passage time relying on fluorescent probes will be made possible through this approach. The in vitro experiments were complemented with various in silico experiments. The latter were based on random walk simulations in discs, mimicking the in vitro situation with its uncertainties. The lifetime of single particles was either set sufficiently long to allow all particles to escape, or was adjusted to meet the lifetime limitations observed in the in vitro experiments. A comparison of the mean first passage time from lifetime-unlimited particles to the corrected, lifetime-limited particles did support the use of the correction factor. In agreement with the narrow escape theory, it was experimentally found that the mean first passage time is independent of the start point of the particle within the domain. This is when the particle adheres to a minimum distance to the escape site. In general, the presented random walk simulations do accurately represent the in vitro experiments in this study. The required hardware for the establishment of an astigmatism-based 3D system was installed in the existing microscope. The first attempts to analyze the obtained 3D imaging data gave insight into the potential of the method to investigate molecule dynamics in living trypanosome cells. The full functionality will be realized with the ongoing improvement of image analysis outside of this thesis.},
  subject      = {Freies Molek{\"u}l},
  language  = {en}
}