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The heart failure (HF) epidemic continues to rise with coronary artery disease (CAD) as one of its main causes. Novel concepts for risk stratification to guide the referring cardiologist towards revascularization procedures are of significant value. Myocardial perfusion imaging (MPI) using single-photon emission computed tomography (SPECT) agents has demonstrated high accuracy for the detection of clinically relevant stenoses. With positron emission tomography (PET) becoming more widely available, mainly due to its diagnostic performance in oncology, perfusion imaging with that modality is more practical than in the past and overcomes existing limitations of SPECT MPI. Advantages of PET include more reliable quantification of absolute myocardial blood flow, the routine use of computed tomography for attenuation correction, a higher spatiotemporal resolution and a higher count sensitivity. Current PET radiotracers such as rubidium-82 (half-life, 76 sec), oxygen-15 water (2 min) or nitrogen-13 ammonia (10 min) are labeled with radionuclides with very short half-lives, necessitating that stress imaging is performed under pharmacological vasodilator stress instead of exercise testing. However, with the introduction of novel 18F-labeled MPI PET radiotracers (half-life, 110 min), the intrinsic advantages of PET can be combined with exercise testing. Additional advantages of those radiotracers include, but are not limited to: potentially improved cost-effectiveness due to the use of pre-existing delivery systems and superior imaging qualities, mainly due to the shortest positron range among available PET MPI probes. In the present review, widely used PET MPI radiotracers will be reviewed and potential novel 18F-labeled perfusion radiotracers will be discussed.
As a scintigraphic approach evaluating cardiac nerve integrity, \(^{123}\)I-metaiodobenzylguanidine (123I-mIBG) has been recently Food and Drug Administration approved. A great deal of progress has been made by the prospective ADMIRE-HF trial, which primarily demonstrated the association of denervated myocardium assessed by \(^{123}\)I-mIBG and cardiac events. However, apart from risk stratification, myocardial nerve function evaluated by molecular imaging should also be expanded to other clinical contexts, in particular to guide the referring cardiologist in selecting appropriate candidates for specific therapeutic interventions. In the present issue of the Journal of Nuclear Cardiology, the use of 123I-mIBG for identifying cardiomyopathy patients, which would most likely not benefit from ICD due low risk of arrhythmias, is described. If we aim to deliver on the promise of cardiac innervation imaging as a powerful tool for risk stratification in a manner similar to nuclear oncology, studies such as the one reviewed here may imply an important step to lay the proper groundwork for a more widespread adoption in clinical practice.
The present study was conducted on the rOCT1, a member of SLC22 family. Structurally, it consists of 12 membrane spanning α-helices with both N- and C-termini intracellular. Studies done so far, through tracer uptake and inhibition, reconstitution of rOCT1 in nanodiscs and proteoliposomes and voltage-clamp fluorometry, have identified the main amino acids in the cleft of rOCT1 that interact in a critical manner with the substrates/inhibitors either directly or indirectly. Homology modeling studies have also supported these observations. In the present study we aimed at measuring the binding of substrates MPP+ and TEA+ to rOCT1 at 0oC in order to establish the amino acids in the cleft region that interact with the substrate when the transporter is frozen in the outward-open conformation. Previously identified crucial amino acids (Asp475, Phe160, Leu447, Arg440, Trp218 and Tyr222) were selected for the study. rOCT1 wild-type and its mutants were stably expressed in HEK293 cells and these cells were used for the binding measurements with the radioactive substrate (MPP+ or TEA+) at 0°C in Mg-Ca-PBS buffer as described in “Materials and Methods” section in detail. rOCT1 wild-type revealed for MPP+-binding a KD which was not significantly different from the corresponding Km value. Also, after addition of 10 nM non-radioactive MPP+, an initial increase of about 20% in bound MPP+ was observed. The results indicate that the Km for transport is dependent on the binding of MPP+ to the outward-open conformation and hints at the possibility of allosteric interaction between the binding sites. Mutations at position Trp218, Phe160 and Asp475 resulted in a change in the KD value. Trp218 mutations also showed an allosteric increase similar to the rOCT1 wild-type. This study suggests that these amino acids are located at a critical position in the outward-open conformation for MPP+ transport. TEA+-binding could not be observed in rOCT1 wild-type, indicating that the binding site is perhaps inaccessible for TEA+ in frozen outward-open state. The mutants D475E, F160A, L447F, R440K and Y222F showed a very low affinity binding with a very high KD value as compared to the corresponding Km values indicating that the transporter might have different affinities for extra-cellular binding alone and for the complete transport process especially if temperature is the limiting factor. Substrate inhibition studies done using both MPP+ and TEA+ have confirmed the existence of overlapping binding sites for these two ligands. This study has confirmed the direct interaction of Trp218, Phe160, Asp475 with MPP+ and Phe160, Asp475, Leu447, Arg440 and Tyr222 with TEA+ in the outward-open conformation.
The obligate intracellular pathogen Chlamydia trachomatis is the causative agent of
trachoma related blindness and the sexually transmitted pelvic inflammatory disease.
Being an obligate intracellular pathogen, C. trachomatis has an intricate dependency
on the survival of the host cell. This relationship is indispensible owing to the fact that
the pathogen spends a considerable fraction of its biphasic lifecycle within a
cytoplasmic vacuole inside the host cell, the so-called chlamydial inclusion. The
cellular apoptotic-signalling network is governed by several finely tuned regulatory
cascades composed of pro- and anti-apoptotic proteins that respond to changes in
the cellular homeostasis. In order to facilitate its intracellular survival, Chlamydia has
been known to inhibit the premature apoptosis of the host cell via the stabilization of
several host anti-apoptotic proteins such as cIAP2 and Mcl-1. While the pro- and
anti-apoptotic proteins are the major regulators of the host apoptotic signalling
network, a class of the small non-coding RNAs called microRNAs (miRNAs) has
increasingly gained focus as a new level of regulatory control over apoptosis.
This work investigates the changes in the host miRNA expression profile post
Chlamydia infection using a high throughput miRNA deep sequencing approach.
Several miRNAs previously associated with the modulation for apoptotic signalling
were differentially expressed upon Chlamydia infection in human endothelial cells. Of
the differentially regulated miRNAs, miR-30c-5p was of particular interest since it had
been previously shown to target the tumor suppressor protein p53. Our lab and
others have previously demonstrated that Chlamydia can downregulate the levels of
p53 by promoting its proteasomal degradation. This work demonstrates that
Chlamydia infection promotes p53 downregulation by increasing the abundance of
miR-30c-5p and a successful infection cycle is hindered by a loss of miR-30c-5p.
Over the last decade, dedicated research aimed towards a better understanding of
apoptotic stimuli has greatly improved our grasp on the subject. While extrinsic
stress, deprivation of survival signals and DNA damage are regarded as major
proponents of apoptotic induction, a significant responsibility lies with the
mitochondrial network of the cell. Mitochondrial function and dynamics are crucial to
cell fate determination and dysregulation of either is decisive for cell survival and
pathogenesis of several diseases. The ability of the mitochondrial network to perform
its essential tasks that include ATP synthesis, anti-oxidant defense, and calcium
homeostasis amongst numerous other processes critical to cellular equilibrium is tied
closely to the fission and fusion of individual mitochondrial fragments. It is, thus,
8
unsurprising that mitochondrial dynamics is closely linked to apoptosis. In fact, many
of the proteins involved regulation of mitochondrial dynamics are also involved in
apoptotic signalling. The mitochondrial fission regulator, Drp1 has previously been
shown to be transcriptionally regulated by p53 and is negatively affected by a miR-
30c mediated inhibition of p53. Our investigation reveals a significant alteration in the
mitochondrial dynamics of Chlamydia infected cells affected by the loss of Drp1. We
show that loss of Drp1 upon chlamydial infection is mediated by the miR-30c-5p
induced depletion of p53 and results in a hyper-fused architecture of the
mitochondrial network.
While it is widely accepted that Chlamydia depends on the host cell metabolism for
its intracellular growth and development, the role of mitochondria in an infected cell,
particularly with respect to its dynamic nature, has not been thoroughly investigated.
This work attempts to illustrate the dependence of Chlamydia on miR-30c-5p induced
changes in the mitochondrial architecture and highlight the importance of these
modulations for chlamydial growth and development.
The photochemistry and photophysics of transition metal complexes are of great interest, since such materials can be exploited for a wide range of applications such as in photocatalysis, sensing and imaging, multiphoton-absorption materials and the fabrication of OLEDs. A full understanding of the excited state behavior of transition metal compounds is therefore important for the design of new materials for the applications mentioned above. In principle, the luminescence properties of this class of compounds can be tuned by changing the metal or subtle changes in the ligand environment.
Furthermore, transition-metal complexes continue to play a major role in modern synthetic chemistry. In particular, they can realize selective transformations that would either be difficult or impossible by conventional organic chemistry. For example, they enable the efficient and selective formation of carbon–carbon bonds. One famous example of these types of transformations are metal-catalyzed cyclization reactions. Herein, metallacyclopentadiene complexes are considered as key intermediates in a number of metal-mediated or -catalyzed cyclization reactions, i.e. the [2+2+2] cyclotrimerization of alkynes. Recent research has focused on the synthesis and characterization of these metallacyclic intermediates such as MC4 ring systems. Metallacyclopentadienes are structurally related to main group EC4 systems such as boroles, siloles, thiophenes and phospholes. Overall, this group of compounds (EC4 analogues) is well known and has attracted significant attention due to their electron-transport and optical properties. Unlike transition metal analogues, however, these EC4 systems show no phosphorescence, which is due to inefficient SOC compared to 2nd and 3rd row transition metals, which promoted us to explore the phosphorescence potential of metallacyclopentadienes.
In 2001, Marder et al. developed a one-pot high-yield synthesis of luminescent 2,5 bis(arylethynyl)rhodacyclopentadienes by reductive coupling of 1,4-diarylbuta-1,3-diynes at a suitable rhodium(I) precursor. Over the past years, a variety of ligands (e.g. TMSA, S,S’ diethyldithiocarbamate, etc.) and 1,4-bis(p-R-phenyl)-1,3-butadiynes or linked , bis(p-R-arylethynyl)alkanes (R = electron withdrawing or donating groups) were investigated and always provided a selective formation of 2,5 bis(arylethynyl)rhodacyclopentadienes, which were reported to be fluorescent despite presence of the heavy atom. To examine the influence of the ligand sphere around the rhodium center on the intersystem-crossing (ISC) processes in the above-mentioned fluorescent rhodacyclopentadienes and to increase the metal character in the frontier orbitals by destabilizing the Rh filled d-orbitals, a -electron donating group was introduced, namely acetylacetonato (acac). Interestingly, in 2010 Tay reacted [Rh(κ2-O,O-acac)(PMe3)2] with ,-bis(p-R-arylbutadiynyl)alkanes and observed not only the fluorescent 2,5 bis(arylethynyl)rhodacyclopentadienes, but also rhodium 2,2’-bph complexes as products, which were reported to be phosphorescent in preliminary photophysical studies.
In this work, the reaction behavior of [Rh(κ2-O,O-acac)(L)2] (L = PMe3, P(p-tolyl)3) with different ,-bis(p-R-arylbutadiynyl)alkanes was established. Furthermore, the separation of the two isomers 2,5-bis(arylethynyl)rhodacyclopentadienes (A) and rhodium 2,2’-bph complexes (B), and the photophysical properties of those were explored in order to clarify their fundamentally different excited state behaviors.
Reactions of [Rh(κ2-O,O-acac)(P(p-tolyl3)2)] with ,-bis(arylbutadiynyl)alkanes gives exclusively weakly fluorescent 2,5-bis(arylethynyl)rhodacyclopentadienes. Changing the phosphine ligands to PMe3, reactions of [Rh(κ2-O,O-acac)(PMe3)2] and , bis(arylbutadiynyl)alkanes afford two isomeric types of MC4 metallacycles with very different photophysical properties, as mentioned before.
As a result of a normal [2+2] reductive coupling at rhodium, 2,5 bis(arylethynyl)rhodacyclopentadienes (A) are formed, which display intense fluorescence. Rhodium 2,2’-bph complexes (B), which show phosphorescence, have been isolated as a second isomer originating from an unusual [4+2] cycloaddition reaction and a subsequent -H-shift. Control of the isomer distribution, of 2,5-bis(arylethynyl)rhodacyclopentadienes (A) and rhodium biphenyl complexes (B), is achieved by modification of the linked , bis(arylbutadiynyl)alkane.
Changing the linker length from four CH2 to three CH2 groups, dramatically favors the formation of the rhodium biphenyl isomer B, providing a fundamentally new route to access photoactive metal biphenyl compounds in good yields. This is very exciting as the photophysical properties of only a limited number of bph complexes of Ir, Pd and Pt had been explored. The lack of photophysical reports in the literature is presumably due to the limited synthetic access to various substituted 2,2’-bph transition metal complexes.
On the other hand, as the reaction of [Rh(κ2-O,O-acac)(P(p-tolyl)3)2] with , bis(arylbutadiynyl)alkanes provides a selective reaction to give weakly fluorescent 2,5 bis(arylethynyl)rhodacyclopentadiene complexes with P(p-tolyl)3 as phosphine ligands, a different synthetic access to 2,5-bis(arylethynyl)rhodacyclopentadiene complexes with PMe3 as phosphine ligands was developed, preventing the time-consuming separation of the isomers. The weak rhodium-phosphorus bonds of 2,5-bis(arylethynyl)rhodacyclopentadiene complexes bearing P(p tolyl)3 as phosphine ligands, relative to those of related PMe3 complexes, allowed for facile ligand exchange reactions. In the presence of an excess of PMe3, a stepwise reaction was observed, giving first the mono-substituted, mixed-phosphine rhodacyclopentadiene intermediates and, subsequently, full conversion to the highly fluorescent 2,5 bis(arylethynyl)-rhodacyclopentadienes bearing only PMe3 ligands (by increasing the reaction temperature).
With spectroscopically pure 2,5-bis(arylethynyl)rhodacyclopentadiene complexes A (bearing PMe3 as phosphine ligands) and rhodium 2,2-bph complexes B in hand, photophysical studies were conducted. The 2,5-bis(arylethynyl)rhodacyclopentadienes (A) are highly fluorescent with high quantum yields up to 54% and very short lifetimes (τ = 0.2 – 2.5 ns) in solution at room temperature. Even at 77 K in glass matrices, no additional phosphorescence is observed which is in line with previous observations made by Steffen et al., who showed that SOC mediated by the heavy metal atom in 2,5-bis(arylethynyl)rhodacyclopentadienes and 2,5 bis(arylethynyl)iridacyclopentadienes is negligible. The origin of this fluorescence lies in the pure intra-ligand (IL) nature of the excited states S1 and T1. The HOMO and the LUMO are nearly pure and * ligand orbitals, respectively, and the HOMO is energetically well separated from the filled rhodium d orbitals. The absence of phosphorescence in transition metal complexes due to mainly IL character of the excited states is not unusual, even for heavier homologues than rhodium with greater SOC, resulting in residual S1 emission (fluorescence) despite ISC S1→Tn being sufficiently fast for population of T1 states. However, there are very few complexes that exhibit fluorescence with the efficiency displayed by our rhodacyclopentadienes, which involves exceptionally slow S1→Tn ISC on the timescale of nanoseconds rather than a few picoseconds or faster.
In stark contrast, the 2,2’-bph rhodium complexes B are exclusively phosphorescent, as expected for 2nd-row transition metal complexes, and show long-lived (hundreds of s) phosphorescence (Ф = 0.01 – 0.33) at room temperature in solution. As no fluorescence is detected even at low temperature, it can be assumed that S1→Tn ISC must be faster than both fluorescence and non-radiative decay from the S1 state. This contrasts with the behavior of the isomeric 2,5-bis(arylethynyl)rhodacyclopentadienes for which unusually slow ISC occurs on a timescale that is competitive with fluorescence (vide supra). The very small values for the radiative rate constants, however, indicate that the nature of the T1 state is purely 3IL with weak SOC mediated by the Rh atom. The phosphorescence efficiency of these complexes in solution at room temperature is even more impressive, as non-radiative coupling of the excited state with the ground state typically inhibits phosphorescence. Instead, the rigidity of the organic -system allows the ligand-based excited triplet state to exist in solution for up to 646 s and to emit with high quantum yields for biphenyl complexes. The exceptionally long lifetimes and small radiative rate constants of the rhodium biphenyl complexes are presumably a result of the large conjugated -system of the organic ligand. According to TD DFT studies, the T1 state involves charge-transfer from the biphenyl ligand into the arylethynyl moiety away from the rhodium atom. This reduces the SOC of the metal center that would be necessary for fast phosphorescence. These results show that the π-chromophoric ligand can gain control over the photophysical excited state behavior to such an extent that even heavy transition metal atoms like rhodium participate in increasing the fluorescence such as main-group analogues do. Furthermore, in the 2,2’-bph rhodium complexes, the rigidity of the organic -system allows the ligand-based excited triplet state to exist in solution for up to hundreds of s and to emit with exceptional quantum yields.
Therefore, investigations of the influence of the ligand sphere around the rhodium center have been made to modify the photophysical properties and furthermore to explore the reaction behavior of these rhodium complexes. Bearing in mind that the P(p-tolyl)3 ligands can easily be replaced by the stronger -donating PMe3 ligands, ligand exchange reactions with N heterocyclic carbenes (NHCs) as even stronger -donors was investigated. Addition of two equivalents of NHCs at room temperature led to the release of one equivalent of P(p-tolyl3) and formation of the mono-substituted NHC rhodium complex. The reaction of isolated mono-NHC complex with another equivalent of NHC at room temperature did not result in the exchange of the second phosphine ligand. Moderate heating of the reaction to 60 °C, however, resulted in the formation of tetra-substituted NHC rhodium complex [Rh(nPr2Im)4]+[acac]-. To circumvent the loss of the other ligands in the experiments described above, a different approach was investigated to access rhodacyclopentadienes with NHC instead of phosphine ligands.
Reaction of the bis-NHC complex [Rh(κ2-O,O-acac)(nPr2Im)2] with , bis(arylbutadiynyl)alkanes at room temperature resulted 2,5-bis(arylethynyl)-rhodacyclopentadienes with the NHC ligands being cis or trans to each other as indicated by NMR spectroscopic measurements and single-crystal X-ray diffraction analysis. Isolation of clean material and a fundamental photophysical study could not be finished for reasons of time within the scope of this work.
Furthermore, shortening of the well conjugated -system of the chromophoric ligand (changing from tetraynes to diynes) was another strategy to examine the reaction behavior of theses ligands with rhodium(I) complexes and to modify the excited state behavior of the formed rhodacyclopentadienes. The reaction of [Rh(κ2-O,O-acac)(PMe3)2] with 1,7 diaryl 1,6-heptadiynes (diynes) leads to the selective formation of 2,5 bis(aryl)rhodacyclopentadienes. These compounds, however, are very weakly fluorescent with quantum yields ФPL < 1, and very short emission lifetimes in toluene at room temperature. Presumably, vibrational modes of the bis(phenyl)butadiene backbone leads to a higher rate constant for non-radiative decay and is thus responsible for the low quantum yields compared to their corresponding PMe3 complexes with the bis(phenylethynyl)butadiene backbone at room temperature. No additional phosphorescence, even at 77 K in the glass matrix is observed.
Chancing the phosphine ligands to P(p-tolyl)3, reactions of [Rh(κ2-O,O-acac)(P(p-tolyl3)2)] with 1,7-diaryl-1,6-heptadiynes, however, resulted in a metal-mediated or -catalyzed cycloaddition reaction of alkynes and leads to full conversion to dimerization and trimerization products and recovery of the rhodium(I) starting material. This is intuitive, considering that P(Ar)3 (Ar = aryl) ligands are considered weaker -donor ligands and therefore have a higher tendency to dissociate. Therefore, rhodium(I) complexes with aryl phosphines as ligands have an increasing tendency to promote catalytic reactions, while the stronger -donating ligands (PMe3 or NHCs) promote the formation of stable rhodium complexes.
Finally, in Chapter 4, the findings of the work conducted on N-heterocyclic carbenes (NHCs) and cyclic (alkyl)(amino)carbenes (CAACs) is presented. These compounds have unique electronic and steric properties and are therefore of great interest as ligands and organo-catalysts. In this work, studies of substitution reactions involving novel carbonyl complexes of rhodium and nickel are reported. For characterization and comparison of CAACmethyl with the large amount of data available for NHC and sterically more demanding CAAC ligands, an overview on physicochemical data (electronics, sterics and bond strength) is provided.
The reaction of [Rh(-Cl)(CO)2]2 with 2 equivalents of CAACmethyl at low temperature afforded the mononuclear complex cis-[(RhCl(CO)2(CAACmethyl)]. However, reacting [Rh( Cl)(CO)2]2 with CAACmethyl at room temperature afforded a mixture of complexes. The mononuclear complex [(RhCl(CO)(CAACmethyl)2], the chloro-bridged complexes [(Rh2( Cl)2(CO)3(CAACmethyl)], [Rh(-Cl)(CO)(CAACmethyl)]2 and a carbon monoxide activation product were formed. The carbon monoxide activation product is presumably formed via the reaction of two equivalents of the CAAC with CO to give the bis-carbene adduct of CO, and subsequent rearrangement via migration of the Dipp moiety. While classical N-heterocyclic carbenes are not electrophilic enough to react with CO, related diamidocarbenes and alkyl(amino)carbenes undergo addition reactions with CO to give the corresponding ketenes. Consequently, to obtain the CAAC-disubstituted mononuclear complex selectively, 8 equivalents of CAACmethyl were reacted with 1 equivalent of [Rh(-Cl)(CO)2]2. For the evaluation of TEP values, [Ni(CO)3(CAAC)] was synthesized in collaboration with the group of Radius. With the complexes [(RhCl(CO)(CAACmethyl)2] and [Ni(CO)3(CAAC)] in hand, it was furthermore possible to examine the electronic and steric parameters of CAACmethyl. Like its bulkier congeners CAACmenthyl and CAACcy, the methyl-substituted CAAC is proposed to be a notably stronger -donor than common NHCs. While it has a very similar TEP value of 2046 cm-1, it additionally possess superior -acceptor properties (P = 67.2 ppm of phosphinidene adduct).
CAACs appear to be very effective in the isolation of a variety of otherwise unstable main group and transition metal diamagnetic and paramagnetic species. This is due to their low-lying LUMO and the small singlet-triplet gap. These electronic properties also allow free CAACs to activate small molecules with strong bonds. They also bind strongly to transition metal centers, which enables their use under harsh conditions. One recent development is the use of CAACs as ligands in transition metal complexes, which previously were only postulated as short-lived catalytic intermediates.[292,345] The availability of these reactive species allows for a better understanding of known catalytic reactions and the design of new catalysts and, moreover, new applications. For example Radius et al.[320] prepared a CAAC complex of cobalt as a precursor for thin-film deposition and Steffen et al.[346] reported a CAAC complex of copper with very high photoluminescent properties, which could be used in LED devices. With the development of cheap and facile synthetic methods for the preparation of CAACs and their corresponding transition metals complexes, as well as the knowledge of their electronic properties, it is safe to predict that applications in and around this field of chemistry will continue to increase.
Fabry disease (FD) is an X-linked lysosomal storage disorder with intracellular accumulation of globotriaosylceramide (Gb3) due to α-galactosidase A deficiency. We studied α-galactosidase A knockout mice (GLA KO) as a model for sensory disturbance and pain in FD.
Pain associated behavior of young (3 months) and old (≥18 months) GLA KO mice and wildtype (WT) littermates in an inflammatory and a neuropathic pain model was investigated. Furthermore, affective and cognitive behavior was assessed in the naïve state and in an inflammatory pain model. Gene and protein expression of pain associated ion channels and Gb3 accumulation in dorsal root ganglion (DRG) neurons was determined. We also performed patch clamp analysis on cultivated DRG neurons and human embryonic kidney 293 (HEK) cells expressing voltage-gated-sodium channel 1.7 (Nav1.7) as an in vitro model of FD. Intracellular Gb3 deposits were modulated using shRNA silencing of α-galactosidase A.
After intraplantar injection of complete Freund`s adjuvant (CFA) and chronic constriction injury (CCI) of the right sciatic nerve, old GLA KO mice did not develop heat and mechanical hypersensitivity in contrast to young GLA KO and old WT mice. Additionally, we found no relevant differences between genotypes and age-groups in affective and cognitive behavior in the naïve state and after CFA injection. Gene and protein expression analysis provided no explanation for the observed sensory impairment. However, cultured DRG neurons of old GLA KO mice revealed a marked decrease of sodium and Ih-currents compared to young GLA KO and old WT mice. DRG neurons of old GLA KO mice displayed substantial intracellular accumulation of Gb3 compared to young GLA KO and old WT mice. Similar to cultured neurons, sodium currents were also decreased in HEK cells treated with shRNA and consecutively increased intracellular Gb3 deposits compared to the control condition, but could be rescued by treatment with agalsidase-alpha.
Our study unveils that, similar to patients with FD, GLA KO mice display age-dependent sensory deficits. However, contrary to patients, GLA KO mice are also protected from hypersensitivity induced by inflammation and nerve lesion due to Gb3-dependent and reversible reduction of neuronal sodium- and Ih-currents. Our data provide evidence for direct Gb3-dependent ion channel impairment in sensory DRG neurons as a potential contributor to sensory dysfunction and pain in FD.
Atomic nanowires formed by self-assembled growth on semiconducting surfaces represent a feasible physical realization of quasi-1D electron systems and can be used to study fascinating 1D quantum phenomena. The system in the focus of this thesis, Si(553)-Au, is generated by Au adsorption onto a stepped silicon surface. It features two different chain types, interspersed with each other: A Au chain on the terrace, and a honeycomb chain of graphitic silicon located at the step edge. The silicon atoms at the exposed edges of the latter are predicted to be spin-polarized and charge-ordered [1], leading to an ordered array of local magnetic moments referred to as ``spin chains''.
The present thesis puts this spin chain proposal to an experimental test.
A detailed scanning tunneling microscopy (STM) and scanning tunneling spectroscopy (STS) scrutiny reveals a distinct unoccupied density of states (DOS) feature localized at every third Si step-edge atom, which aligns perfectly with the density functional theory (DFT) prediction.
This finding provides strong evidence for the formation of spin chains at the Si(553)-Au step edges, and simultaneously rules out the interpretation of previous studies which attributed the x3 step-edge superstructure to a Peierls instability.
To study the formation of spin chains in further detail, an additional member of the so-called Si(hhk)-Au family -- Si(775)-Au -- is analyzed.
Based on DFT modeling (performed by S.C. Erwin, Naval Research Laboratory, USA) and detailed STM and STS experiments, a new structure model for this surface is developed, and the absence of spin chains at the Si(775)-Au step edges is demonstrated.
The different step-edge charge distributions of all known Si(hhk)-Au surfaces are traced back to an electron transfer between the terrace and the step edge. Accordingly, an unintentional structure defect should create a localized spin at the Si(775)-Au step edge. This prediction is verified experimentally, and suggest that surface chemistry can be used to create and destroy Si spin chains.
Having clarified why spin chains form on some Si(hhk)-Au surfaces but not on others, various interaction effects of the Si(553)-Au spin chains are inspected.
A collaborative analysis by SPA-LEED (M. Horn-von Hoegen group, University of Duisburg-Essen, Germany), DFT (S.C. Erwin), and STM reveals strong lateral coupling between adjacent spin chains, bearing interesting implications for their magnetic ordering. The centered geometry uncovered leads to magnetic frustration, and may stabilize a 2D quantum spin liquid.
Moreover, a complex interplay between neighboring Au and Si chains is detected.
Specifically, the interaction is found effectively ``one-way'', i.e., the Si step edges respond to the Au chains but not vice versa.
This unidirectional effect breaks the parity of the Si chains, and creates two different configurations of step edges with opposite directionality.
In addition to the static properties of the Si(553)-Au surface mentioned above, the occurrence of solitons in both wire types is witnessed in real space by means of high-resolution STM imaging. The solitons are found to interact with one another such that both move in a coupled fashion along the chains. Likewise, STM experiments as a function of the tunneling current suggest an excitation of solitons along the step edge by the STM tunneling tip.
Solitons are also found to play an essential role in the temperature-dependent behavior of the Si(553)-Au step edges.
It is an accepted fact that the distinct x3 superstructure of the Si(553)-Au step edges vanishes upon heating to room temperature. As a first step in exploring this transition in detail over a large temperature range, a previously undetected, occupied electronic state associated with the localized step-edge spins is identified by means of angle-resolved photoemission spectroscopy (ARPES).
A tracking of this state as a function of temperature reveals an order-disorder-type transition. Complementary STM experiments attribute the origin of this transition to local, thermally activated spin site hops, which correspond to soliton-anitsoliton pairs.
Finally, a manipulation of the Si(553)-Au atomic wire array is achieved by the stepwise adsorption of potassium atoms. This does not only increase the filling of the Au-induced surface bands culminating in a metal-insulator transition (MIT), but also modifies the Si step-edge charge distribution, as indicated by STM and ARPES experiments.
[1] S. C. Erwin and F. Himpsel, Intrinsic magnetism at silicon surfaces, Nat. Commun. 1,
58 (2010).
This thesis considers a model of a scalar partial differential equation in the presence of a singular source term, modeling the interaction between an inviscid fluid represented by the Burgers equation and an arbitrary, finite amount of particles moving inside the fluid, each one acting as a point-wise drag force with a particle related friction constant.
\begin{align*}
\partial_t u + \partial_x (u^2/2) &= \sum_{i \in N(t)} \lambda_i \Big(h_i'(t)-u(t,h_i(t)\Big)\delta(x-h_i(t))
\end{align*}
The model was introduced for the case of a single particle by Lagoutière, Seguin and Takahashi, is a first step towards a better understanding of interaction between fluids and solids on the level of partial differential equations and has the unique property of considering entropy admissible solutions and the interaction with shockwaves.
The model is extended to an arbitrary, finite number of particles and interactions like merging, splitting and crossing of particle paths are considered.
The theory of entropy admissibility is revisited for the cases of interfaces and discontinuous flux conservation laws, existing results are summarized and compared, and adapted for regions of particle interactions. To this goal, the theory of germs introduced by Andreianov, Karlsen and Risebro is extended to this case of non-conservative interface coupling.
Exact solutions for the Riemann Problem of particles drifting apart are computed and analysis on the behavior of entropy solutions across the particle related interfaces is used to determine physically relevant and consistent behavior for merging and splitting of particles. Well-posedness of entropy solutions to the Cauchy problem is proven, using an explicit construction method, L-infinity bounds, an approximation of the particle paths and compactness arguments to obtain existence of entropy solutions. Uniqueness is shown in the class of weak entropy solutions using almost classical Kruzkov-type analysis and the notion of L1-dissipative germs.
Necessary fundamentals of hyperbolic conservation laws, including weak solutions, shocks and rarefaction waves and the Rankine-Hugoniot condition are briefly recapitulated.
This dissertation focuses on the performance evaluation of all components of Software Defined Networking (SDN) networks and covers whole their architecture. First, the isolation between virtual networks sharing the same physical resources is investigated with SDN switches of several vendors. Then, influence factors on the isolation are identified and evaluated. Second, the impact of control mechanisms on the performance of the data plane is examined through the flow rule installation time of SDN switches with different controllers. It is shown that both hardware-specific and controller instance have a specific influence on the installation time. Finally, several traffic flow monitoring methods of an SDN controller are investigated and a new monitoring approach is developed and evaluated. It is confirmed that the proposed method allows monitoring of particular flows as well as consumes fewer resources than the standard approach. Based on findings in this thesis, on the one hand, controller developers can refer to the work related to the control plane, such as flow monitoring or flow rule installation, to improve the performance of their applications. On the other hand, network administrators can apply the presented methods to select a suitable combination of controller and switches in their SDN networks, based on their performance requirements
This Thesis investigates the interplay of a central degree of freedom with an environment. Thereby, the environment is prepared in a localized phase of matter.
The long-term aim of this setup is to store quantum information on the central degree of freedom while exploiting the advantages of localized systems.
These many-body localized systems fail to equilibrate under the description of thermodynamics, mostly due to disorder. Doing so, they form the most prominent phase of matter that violates the eigenstate thermalization hypothesis. Thus, many-body localized systems preserve information about an initial state until infinite times without the necessity to isolate the system.
This unique feature clearly suggests to store quantum information within localized environments, whenever isolation is impracticable.
After an introduction to the relevant concepts, this Thesis examines to which extent a localized phase of matter may exist at all if a central degree of freedom dismantles the notion of locality in the first place. To this end, a central spin is coupled to the disordered Heisenberg spin chain, which shows many-body localization. Furthermore, a noninteracting analog describing free fermions is discussed. Therein, an impurity is coupled to an Anderson localized environment.
It is found that in both cases, the presence of the central degree of freedom manifests in many properties of the localized environment. However, for a sufficiently weak coupling, quantum chaos, and thus, thermalization is absent. In fact, it is shown that the critical disorder, at which the metal-insulator transition of its environment occurs in the absence of the central degree of freedom, is modified by the coupling strength of the central degree of freedom. To demonstrate this, a phase diagram is derived.
Within the localized phase, logarithmic growth of entanglement entropy, a typical signature of many-body localized systems, is increased by the coupling to the central spin. This property is traced back to resonantly coupling spins within the localized Heisenberg chain and analytically derived in the absence of interactions. Thus, the studied model of free fermions is the first model without interactions that mimics the logarithmic spreading of entanglement entropy known from many-body localized systems.
Eventually, it is demonstrated that observables regarding the central spin significantly break the eigenstate thermalization hypothesis within the localized phase. Therefore, it is demonstrated how a central spin can be employed as a detector of many-body localization.