Effect of magnetic field gradients induced by microvasculature on NMR measurements of molecular self-diffusion in biological tissues

Journal of Magnetic Resonance
Valerij G Kiselev

Abstract

Presence of induced mesoscopic gradients of magnetic field in magnetically heterogeneous samples affects the measured value of apparent diffusion coefficient. This effect is investigated theoretically in the context of diffusion measurements in perfused biological tissues with blood as the paramagnetic compartment. It is shown that the apparent diffusion coefficient is sensitive to mutual correlations in vessel positions. Neglect of these correlations results in a failure of the commonly used model of microvasculature in which vessels are described as independently placed cylinders. The model is modified to account for intervessel correlations. The results indicate an underestimation of apparent diffusion coefficient in proportion to the magnetic susceptibility of intravascular compartment in agreement with published experimental data. The proportionality coefficient depends on the microvascular architecture. Comparison with experimental data yields a numerical value for a new model parameter that characterises the correlation in mutual positions of blood vessels.

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Citations

Apr 19, 2008·Physics in Medicine and Biology·Matthias C Schabel, Dennis L Parker
May 17, 2006·Proceedings of the National Academy of Sciences of the United States of America·Denis Le BihanHidenao Fukuyama
Dec 3, 2014·Journal of Magnetic Resonance·John T Spear, John C Gore
Feb 13, 2016·NMR in Biomedicine·John T Spear, John C Gore
Mar 12, 2011·Journal of Magnetic Resonance·Dmitry S Novikov, Valerij G Kiselev
Oct 30, 2013·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Nicolas A PannetierNorbert Schuff
Jan 18, 2006·Magnetic Resonance Imaging·Eric E Sigmund, Yi-Qiao Song
Feb 24, 2017·NMR in Biomedicine·Valerij G Kiselev
Apr 23, 2009·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·Satoru KohnoDenis Le Bihan
Oct 16, 2018·NMR in Biomedicine·Dmitry S NovikovValerij G Kiselev
Oct 20, 2006·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Tao JinSeong-Gi Kim
Apr 6, 2007·Journal of Magnetic Resonance Imaging : JMRI·Ute Goerke, Harald E Möller
Oct 24, 2020·Journal of Neuroscience Methods·Dmitry S Novikov
May 6, 2019·NeuroImage·Farshid SepehrbandUNKNOWN Alzheimer's Disease Neuroimaging Initiative

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