@article{AsterEvdokimovBraunetal.2022, author = {Aster, Hans-Christoph and Evdokimov, Dimitar and Braun, Alexandra and {\"U}{\c{c}}eyler, Nurcan and Kampf, Thomas and Pham, Mirko and Homola, Gy{\"o}rgy A. and Sommer, Claudia}, title = {CNS imaging characteristics in fibromyalgia patients with and without peripheral nerve involvement}, series = {Scientific Reports}, volume = {12}, journal = {Scientific Reports}, number = {1}, doi = {10.1038/s41598-022-10489-1}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-300562}, year = {2022}, abstract = {We tested the hypothesis that reduced skin innervation in fibromyalgia syndrome is associated with specific CNS changes. This prospective case-control study included 43 women diagnosed with fibromyalgia syndrome and 40 healthy controls. We further compared the fibromyalgia subgroups with reduced (n = 21) and normal (n = 22) skin innervation. Brains were analysed for cortical volume, for white matter integrity, and for functional connectivity. Compared to controls, cortical thickness was decreased in regions of the frontal, temporal and parietal cortex in the fibromyalgia group as a whole, and decreased in the bilateral pericalcarine cortices in the fibromyalgia subgroup with reduced skin innervation. Diffusion tensor imaging revealed a significant increase in fractional anisotropy in the corona radiata, the corpus callosum, cingulum and fornix in patients with fibromyalgia compared to healthy controls and decreased FA in parts of the internal capsule and thalamic radiation in the subgroup with reduced skin innervation. Using resting-state fMRI, the fibromyalgia group as a whole showed functional hypoconnectivity between the right midfrontal gyrus and the posterior cerebellum and the right crus cerebellum, respectively. The subgroup with reduced skin innervation showed hyperconnectivity between the inferior frontal gyrus, the angular gyrus and the posterior parietal gyrus. Our results suggest that the subgroup of fibromyalgia patients with pronounced pathology in the peripheral nervous system shows alterations in morphology, structural and functional connectivity also at the level of the encephalon. We propose considering these subgroups when conducting clinical trials.}, language = {en} } @article{VogelRueckertFriedrichetal.2022, author = {Vogel, Patrick and R{\"u}ckert, Martin Andreas and Friedrich, Bernhard and Tietze, Rainer and Lyer, Stefan and Kampf, Thomas and Hennig, Thomas and D{\"o}lken, Lars and Alexiou, Christoph and Behr, Volker Christian}, title = {Critical Offset Magnetic PArticle SpectroScopy for rapid and highly sensitive medical point-of-care diagnostics}, series = {Nature Communications}, volume = {13}, journal = {Nature Communications}, doi = {10.1038/s41467-022-34941-y}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-300893}, year = {2022}, abstract = {Magnetic nanoparticles (MNPs) have been adapted for many applications, e.g., bioassays for the detection of biomarkers such as antibodies, by controlled engineering of specific surface properties. Specific measurement of such binding states is of high interest but currently limited to highly sensitive techniques such as ELISA or flow cytometry, which are relatively inflexible, difficult to handle, expensive and time-consuming. Here we report a method named COMPASS (Critical-Offset-Magnetic-Particle-SpectroScopy), which is based on a critical offset magnetic field, enabling sensitive detection to minimal changes in mobility of MNP ensembles, e.g., resulting from SARS-CoV-2 antibodies binding to the S antigen on the surface of functionalized MNPs. With a sensitivity of 0.33 fmole/50 µl (≙7 pM) for SARS-CoV-2-S1 antibodies, measured with a low-cost portable COMPASS device, the proposed technique is competitive with respect to sensitivity while providing flexibility, robustness, and a measurement time of seconds per sample. In addition, initial results with blood serum demonstrate high specificity.}, language = {en} } @article{WinterAndelovicKampfetal.2021, author = {Winter, Patrick M. and Andelovic, Kristina and Kampf, Thomas and Hansmann, Jan and Jakob, Peter Michael and Bauer, Wolfgang Rudolf and Zernecke, Alma and Herold, Volker}, title = {Simultaneous measurements of 3D wall shear stress and pulse wave velocity in the murine aortic arch}, series = {Journal of Cardiovascular Magnetic Resonance}, volume = {23}, journal = {Journal of Cardiovascular Magnetic Resonance}, number = {1}, doi = {10.1186/s12968-021-00725-4}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-259152}, pages = {34}, year = {2021}, abstract = {Purpose Wall shear stress (WSS) and pulse wave velocity (PWV) are important parameters to characterize blood flow in the vessel wall. Their quantification with flow-sensitive phase-contrast (PC) cardiovascular magnetic resonance (CMR), however, is time-consuming. Furthermore, the measurement of WSS requires high spatial resolution, whereas high temporal resolution is necessary for PWV measurements. For these reasons, PWV and WSS are challenging to measure in one CMR session, making it difficult to directly compare these parameters. By using a retrospective approach with a flexible reconstruction framework, we here aimed to simultaneously assess both PWV and WSS in the murine aortic arch from the same 4D flow measurement. Methods Flow was measured in the aortic arch of 18-week-old wildtype (n = 5) and ApoE\(^{-/-}\) mice (n = 5) with a self-navigated radial 4D-PC-CMR sequence. Retrospective data analysis was used to reconstruct the same dataset either at low spatial and high temporal resolution (PWV analysis) or high spatial and low temporal resolution (WSS analysis). To assess WSS, the aortic lumen was labeled by semi-automatically segmenting the reconstruction with high spatial resolution. WSS was determined from the spatial velocity gradients at the lumen surface. For calculation of the PWV, segmentation data was interpolated along the temporal dimension. Subsequently, PWV was quantified from the through-plane flow data using the multiple-points transit-time method. Reconstructions with varying frame rates and spatial resolutions were performed to investigate the influence of spatiotemporal resolution on the PWV and WSS quantification. Results 4D flow measurements were conducted in an acquisition time of only 35 min. Increased peak flow and peak WSS values and lower errors in PWV estimation were observed in the reconstructions with high temporal resolution. Aortic PWV was significantly increased in ApoE\(^{-/-}\) mice compared to the control group (1.7 ± 0.2 versus 2.6 ± 0.2 m/s, p < 0.001). Mean WSS magnitude values averaged over the aortic arch were (1.17 ± 0.07) N/m\(^2\) in wildtype mice and (1.27 ± 0.10) N/m\(^2\) in ApoE\(^{-/-}\) mice. Conclusion The post processing algorithm using the flexible reconstruction framework developed in this study permitted quantification of global PWV and 3D-WSS in a single acquisition. The possibility to assess both parameters in only 35 min will markedly improve the analyses and information content of in vivo measurements.}, language = {en} } @article{AndelovicWinterKampfetal.2021, author = {Andelovic, Kristina and Winter, Patrick and Kampf, Thomas and Xu, Anton and Jakob, Peter Michael and Herold, Volker and Bauer, Wolfgang Rudolf and Zernecke, Alma}, title = {2D Projection Maps of WSS and OSI Reveal Distinct Spatiotemporal Changes in Hemodynamics in the Murine Aorta during Ageing and Atherosclerosis}, series = {Biomedicines}, volume = {9}, journal = {Biomedicines}, number = {12}, issn = {2227-9059}, doi = {10.3390/biomedicines9121856}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-252164}, year = {2021}, abstract = {Growth, ageing and atherosclerotic plaque development alter the biomechanical forces acting on the vessel wall. However, monitoring the detailed local changes in wall shear stress (WSS) at distinct sites of the murine aortic arch over time has been challenging. Here, we studied the temporal and spatial changes in flow, WSS, oscillatory shear index (OSI) and elastic properties of healthy wildtype (WT, n = 5) and atherosclerotic apolipoprotein E-deficient (Apoe\(^{-/-}\), n = 6) mice during ageing and atherosclerosis using high-resolution 4D flow magnetic resonance imaging (MRI). Spatially resolved 2D projection maps of WSS and OSI of the complete aortic arch were generated, allowing the pixel-wise statistical analysis of inter- and intragroup hemodynamic changes over time and local correlations between WSS, pulse wave velocity (PWV), plaque and vessel wall characteristics. The study revealed converse differences of local hemodynamic profiles in healthy WT and atherosclerotic Apoe\(^{-/-}\) mice, and we identified the circumferential WSS as potential marker of plaque size and composition in advanced atherosclerosis and the radial strain as a potential marker for vascular elasticity. Two-dimensional (2D) projection maps of WSS and OSI, including statistical analysis provide a powerful tool to monitor local aortic hemodynamics during ageing and atherosclerosis. The correlation of spatially resolved hemodynamics and plaque characteristics could significantly improve our understanding of the impact of hemodynamics on atherosclerosis, which may be key to understand plaque progression towards vulnerability.}, language = {en} } @article{HorvatVogelKampfetal.2020, author = {Horvat, Sonja and Vogel, Patrick and Kampf, Thomas and Brandl, Andreas and Alshamsan, Aws and Alhadlaq, Hisham A. and Ahamed, Maqusood and Albrecht, Krystyna and Behr, Volker C. and Beilhack, Andreas and Groll, J{\"u}rgen}, title = {Crosslinked Coating Improves the Signal-to-Noise Ratio of Iron Oxide Nanoparticles in Magnetic Particle Imaging (MPI)}, series = {ChemNanoMat}, volume = {6}, journal = {ChemNanoMat}, number = {5}, doi = {10.1002/cnma.202000009}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-214718}, pages = {755 -- 758}, year = {2020}, abstract = {Magnetic particle imaging is an emerging tomographic method used for evaluation of the spatial distribution of iron-oxide nanoparticles. In this work, the effect of the polymer coating on the response of particles was studied. Particles with covalently crosslinked coating showed improved signal and image resolution.}, language = {en} } @article{RiedlKampfHeroldetal.2020, author = {Riedl, Katharina A. and Kampf, Thomas and Herold, Volker and Behr, Volker C. and Bauer, Wolfgang R.}, title = {Wall shear stress analysis using 17.6 Tesla MRI: A longitudinal study in ApoE\(^{-/-}\)mice with histological analysis}, series = {PLoS One}, volume = {15}, journal = {PLoS One}, number = {8}, doi = {10.1371/journal.pone.0238112}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-229318}, year = {2020}, abstract = {This longitudinal study was performed to evaluate the feasibility of detecting the interaction between wall shear stress (WSS) and plaque development. 20 ApoE\(^{-/-}\)mice were separated in 12 mice with Western Diet and 8 mice with Chow Diet. Magnetic resonance (MR) scans at 17.6 Tesla and histological analysis were performed after one week, eight and twelve weeks. Allin vivoMR measurements were acquired using a flow sensitive phase contrast method for determining vectorial flow. Histological sections were stained with Hematoxylin and Eosin, Elastica van Gieson and CD68 staining. Data analysis was performed using Ensight and a Matlab-based "Flow Tool". The body weight of ApoE\(^{-/-}\)mice increased significantly over 12 weeks. WSS values increased in the Western Diet group over the time period; in contrast, in the Chow Diet group the values decreased from the first to the second measurement point. Western Diet mice showed small plaque formations with elastin fragmentations after 8 weeks and big plaque formations after 12 weeks; Chow Diet mice showed a few elastin fragmentations after 8 weeks and small plaque formations after 12 weeks. Favored by high-fat diet, plaque formation results in higher values of WSS. With wall shear stress being a known predictor for atherosclerotic plaque development, ultra highfield MRI can serve as a tool for studying the causes and beginnings of atherosclerosis.}, language = {en} } @article{WinterAndelovicKampfetal.2019, author = {Winter, Patrick and Andelovic, Kristina and Kampf, Thomas and Gutjahr, Fabian Tobias and Heidenreich, Julius and Zernecke, Alma and Bauer, Wolfgang Rudolf and Jakob, Peter Michael and Herold, Volker}, title = {Fast self-navigated wall shear stress measurements in the murine aortic archusing radial 4D-phase contrast cardiovascular magnetic resonance at 17.6 T}, series = {Journal of Cardiovascular Magnetic Resonance}, volume = {21}, journal = {Journal of Cardiovascular Magnetic Resonance}, doi = {10.1186/s12968-019-0566-z}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-201120}, pages = {64}, year = {2019}, abstract = {Purpose 4D flow cardiovascular magnetic resonance (CMR) and the assessment of wall shear stress (WSS) are non-invasive tools to study cardiovascular risks in vivo. Major limitations of conventional triggered methods are the long measurement times needed for high-resolution data sets and the necessity of stable electrocardiographic (ECG) triggering. In this work an ECG-free retrospectively synchronized method is presented that enables accelerated high-resolution measurements of 4D flow and WSS in the aortic arch of mice. Methods 4D flow and WSS were measured in the aortic arch of 12-week-old wildtype C57BL/6 J mice (n = 7) with a radial 4D-phase-contrast (PC)-CMR sequence, which was validated in a flow phantom. Cardiac and respiratory motion signals were extracted from the radial CMR signal and were used for the reconstruction of 4D-flow data. Rigid motion correction and a first order B0 correction was used to improve the robustness of magnitude and velocity data. The aortic lumen was segmented semi-automatically. Temporally averaged and time-resolved WSS and oscillatory shear index (OSI) were calculated from the spatial velocity gradients at the lumen surface at 14 locations along the aortic arch. Reproducibility was tested in 3 animals and the influence of subsampling was investigated. Results Volume flow, cross-sectional areas, WSS and the OSI were determined in a measurement time of only 32 min. Longitudinal and circumferential WSS and radial stress were assessed at 14 analysis planes along the aortic arch. The average longitudinal, circumferential and radial stress values were 1.52 ± 0.29 N/m2, 0.28 ± 0.24 N/m2 and - 0.21 ± 0.19 N/m2, respectively. Good reproducibility of WSS values was observed. Conclusion This work presents a robust measurement of 4D flow and WSS in mice without the need of ECG trigger signals. The retrospective approach provides fast flow quantification within 35 min and a flexible reconstruction framework.}, language = {en} } @article{HeroldKampfJakob2019, author = {Herold, Volker and Kampf, Thomas and Jakob, Peter Michael}, title = {Dynamic magnetic resonance scattering}, series = {Communications Physics}, volume = {2}, journal = {Communications Physics}, doi = {10.1038/s42005-019-0136-6}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-201091}, pages = {46}, year = {2019}, abstract = {Dynamic light scattering is a popular technique to determine the size distribution of small particles in the sub micrometer region. It operates in reciprocal space, by analyzing the signal fluctuations with the photon auto correlation function. Equally, pulsed field gradient magnetic resonance is a technique generating data in the reciprocal space of the density distribution of an object. Here we show the feasibility of employing a magnetic resonance imaging system as a dynamic scattering device similar to dynamic light scattering appliances. By acquiring a time series of single data points from reciprocal space, analogue to dynamic light scattering, we demonstrate the examination of motion patterns of microscopic particles. This method allows the examination of particle dynamics significantly below the spatial resolution of magnetic resonance imaging. It is not limited by relaxation times and covers a wide field of applications for particle or cell motion in opaque media.}, language = {en} } @phdthesis{Kampf2018, author = {Kampf, Thomas}, title = {Quantifizierung myokardialer Mikrostruktur und Perfusion mittels longitudinaler NMR Relaxation}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-174261}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2018}, abstract = {Ziel der Arbeit war es die Quantifizierung funktioneller bzw. mikrostruktureller Parameter des Herzmuskels mit Hilfe T1-basierter Methoden zu verbessern. Diese Methoden basieren darauf, die gew{\"u}nschte Information durch eine geeignete Pr{\"a}paration der Magnetisierung bzw. durch die Gabe von Kontrastmittel in den Zeitverlauf der longitudinalen Relaxation zu kodieren. Aus der {\"A}nderung der Relaxationszeit l{\"a}ßt sich dann die gew{\"u}nschte Information bestimmen. Daf{\"u}r sollte sowohl der Einfluß der Anatomie als auch derjenige der Meßmethodik auf die Bestimmung der longitudinalen Relaxationszeit und damit auf die Quantifizierung der Funktion bzw. Mikrostrukturparameter untersucht werden. Speziell der Einfluß der Bildgebungssequenz f{\"u}hrt dazu, daß nur eine scheinbare Relaxationszeit gemessen wird. W{\"a}hrend dies keinen Einfluß auf die T1-basierte Bestimmung der untersuchten Mikrostrukturparameter hatte, ergab sich f{\"u}r die Perfusionsquantifizierung eine deutliche Abh{\"a}ngigkeit von den Parametern der verwendeten IRLL-Sequenz. Um diesen Einfluß gerecht zu werden, wurden an die Meßmethodik angepaßte Gleichungen zur Bestimmung der Perfusion gefunden mit denen die systematischen Abweichungen korrigiert werden k{\"o}nnen. Zus{\"a}tzlich reduzieren die angepaßten Gleichungen die Anforderungen bez{\"u}glich der Inversionsqualit{\"a}t im schichtselektiven Experiment. Dies wurde in einem weiteren Projekt bei der Bestimmung der Nierenperfusion im Mausmodell ausgenutzt. Neben der Untersuchung der Auswirkungen der Meßmethode wurde auch der Einfluß der anatomischen Besonderheiten des Blutkreislaufs am Herzen auf die Parameterquantifizierung mittels T1-basierter Methoden untersucht. Es konnte gezeigt werden, daß auf Grund der Anatomie des Herzens bei typischen Orientierungen der Bildgebungsschicht, auch bei der schichtselektiven Inversionspr{\"a}paration der Magnetisierung des Herzmuskels ein Anteil des Blutpools invertiert wird. Daraus folgt, daß die vereinfachende Annahme, nach welcher bei schichtselektiver Pr{\"a}paration in Folge von Perfusion nur Blut mit Gleichgewichtsmagnetisierung den Herzmuskel erreicht, nicht erf{\"u}llt ist. Es konnte gezeigt werden, daß dies bei Perfusion zu einer deutlichen Untersch{\"a}tzung der berechneten Perfusionswertes f{\"u}hrt. Um mit diesem Problem umgehen zu k{\"o}nnen, wurde aufbauend auf einem vereinfachten Modell der zeitlichen Entwicklung der Blutmagnetisierung eine Korrektur f{\"u}r die Bestimmung der Perfusionswerte gefunden welche den Einfluß der anatomischen Besonderheiten ber{\"u}cksichtigt. Das f{\"u}r die Perfusionskorrektur eingef{\"u}hrte Model prognostiziert ebenso, daß auch bei schichtselektiver Inversion die T1-basierte Bestimmung der untersuchten Mikrostrukturparameter von der Perfusion abh{\"a}ngig wird und eine systematische {\"U}bersch{\"a}tzung der quantifizierten Werte verursacht. Da die Perfusion im Kleintier deutlich h{\"o}her ist als im Menschen, ist dieser Einfluß besonders in der pr{\"a}klinischen Forschung zu beachten. So k{\"o}nnen dort allein durch verminderte Perfusion deutliche {\"A}nderungen in den bestimmten Werten der Mikrostrukturparameter erzeugt werden, welche zu einer fehlerhaften Interpretation der Ergebnisse f{\"u}hren und somit ein falsches Bild f{\"u}r die Vorg{\"a}nge im Herzmuskel suggerieren. Dabei best{\"a}tigt der Vergleich mit experimentellen Ergebnissen aus der Literatur die Vorhersagen f{\"u}r das Rattenmodell. Beim Menschen ist der prognostizierte Effekt deutlich kleiner. Der prognostizierte Fehler bspw. im RBV-Wert liegt in diesem Fall bei etwa 10\% und wird {\"u}blicherweise in der aktuellen Forschung vernachl{\"a}ssigt. Inwieweit dies in er klinischen Forschung gerechtfertigt ist, muß in weiteren Untersuchungen gekl{\"a}rt werden. Den untersuchten Methoden zur Bestimmung von funktionellen und mikrostrukturellen Parametern ist gemein, daß sie eine exakte Quantifizierung der longitudinalen Relaxationszeit T1 ben{\"o}tigen. Dabei ist im Kleintierbereich die klassische IRLL-Methode als zuverl{\"a}ssige Sequenz zur T1-Quantifizierung etabliert. In der klinischen Bildgebung werden auf Grund der unterschiedlichen Zeitskalen und anderer technischer Voraussetzungen andere Anforderungen an die Datenakquisition gestellt. Dabei hat in den letzten Jahren die MOLLI-Sequenz große Verbreitung gefunden. Sie ist eine Abwandlung der IRLL-Sequenz, bei der mit einer bSSFP-Bildgebungssequenz getriggert ganze Bilder w{\"a}hrend eines Herzschlages aufgenommen werden. Die MOLLI-Sequenz reagiert dabei empfindlich auf die Wartezeiten zwischen den einzelnen Transienten. Um mit diese Problematik in den Griff zu bekommen und gleichzeitig die Meßzeit verk{\"u}rzen zu k{\"o}nnen wurde eine neue Methode zum Fitten der Daten entwickelt, welche die Abh{\"a}ngigkeit der scheinbaren Relaxationszeit von der Wartezeit zwischen den einzelnen Transienten, sowie der mittleren Herzrate fast vollst{\"a}ndig eliminiert. Diese Methode liefert f{\"u}r das ganze klinisch Spektrum an erwarteten T1-Zeiten, vor und nach Kontrastmittelgabe, stabile Ergebnisse und erlaubte ein deutliche Verk{\"u}rzung der Meßzeit, ohne die Anzahl der aufgenommenen Meßzeitpunkte zu reduzieren. Dies wurde in einer initialen klinischen Studie genutzt, um ECV-Werte in Patienten zu bestimmen. Ein Nachteil der Verwendung der MOLLI-Sequenz ist, daß nur die scheinbare Relaxationszeit aus den Fit der Meßdaten bestimmt wird. Die standardm{\"a}ßig genutzte Korrektur benutzt aber dem gefitteten Wert der Gleichgewichtsmagnetisierung um den wahren T1-Wert zu bestimmen. Somit ist es f{\"u}r die Bestimmung des T1-Wertes notwendig, die Qualit{\"a}t der Inversionspr{\"a}paration zu kennen. Auf Basis der neuen Fitmethode wurde eine Anpassung der MOLLI-Sequenz demonstriert, welche die Bestimmung der Gleichgewichtsmagnetisierung unabh{\"a}ngig von der Qualit{\"a}t der Inversionspr{\"a}paration erlaubt. Daf{\"u}r verl{\"a}ngert sich die Meßdauer lediglich um einen Herzschlag um in geeigneter Weise ein zus{\"a}tzliches Bild aufnehmen zu k{\"o}nnen. Abschließend wurde in dieser Arbeit der Signal-Zeit-Verlauf der MOLLI-Sequenz eingehend theoretische untersucht um ein besseres Verst{\"a}ndnis der getriggerten IRLL-Sequenzen zu entwickeln. In diesem Zusammenhang konnte eine einfache Interpretation der scheinbaren Relaxationszeit gefunden werden. Ebenso konnte erkl{\"a}rt werden, warum die f{\"u}r ungetriggerte IRLL-Sequenzen abgeleitete Korrekturgleichung auch im getriggerten Fall erstaunlich gute Ergebnisse liefert. Weiterhin konnten Fehlerquellen f{\"u}r die verbleibenden Abweichungen identifiziert werden, welche als Ausgangspunkt f{\"u}r die Ableitung verbesserter Korrekturgleichungen genutzt werden k{\"o}nnen.}, subject = {Kernspintomographie}, language = {de} } @article{KurzKampfBuschleetal.2016, author = {Kurz, Felix T. and Kampf, Thomas and Buschle, Lukas R. and Schlemmer, Heinz-Peter and Bendszus, Martin and Heiland, Sabine and Ziener, Christian H.}, title = {Generalized moment analysis of magnetic field correlations for accumulations of spherical and cylindrical magnetic perturbers}, series = {Frontiers in Physics}, volume = {4}, journal = {Frontiers in Physics}, issn = {2296-424X}, doi = {10.3389/fphy.2016.00046}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-190604}, year = {2016}, abstract = {In biological tissue, an accumulation of similarly shaped objects with a susceptibility difference to the surrounding tissue generates a local distortion of the external magnetic field in magnetic resonance imaging. It induces stochastic field fluctuations that characteristically influence proton spin dephasing in the vicinity of these magnetic perturbers. The magnetic field correlation that is associated with such local magnetic field inhomogeneities can be expressed in the form of a dynamic frequency autocorrelation function that is related to the time evolution of the measured magnetization. Here, an eigenfunction expansion for two simple magnetic perturber shapes, that of spheres and cylinders, is considered for restricted spin diffusion in a simple model geometry. Then, the concept of generalized moment analysis, an approximation technique that is applied in the study of (non-)reactive processes that involve Brownian motion, allows deriving analytical expressions of the correlation function for different exponential decay forms. Results for the biexponential decay for both spherical and cylindrical magnetized objects are derived and compared with the frequently used (less accurate) monoexponential decay forms. They are in asymptotic agreement with the numerically exact value of the correlation function for long and short times.}, language = {en} }