]. S. Axelrod and P. N. Sen, Nuclear magnetic resonance spin echoes for restricted diffusion 594 in an inhomogeneous field: Methods and asymptotic regimes, The Journal of Chemical 595, Physics, vol.11411468781, pp.593-6878, 2001.

A. V. Fieremans, D. S. Novikov-]-p, A. Callaghan, D. Coy, K. J. Macgowan et al., 598 sciencedirect Mesoscopic structure of neuronal 600 tracts from time-dependent diffusion http://www.sciencedirect. 602 com/science/article/pii/S1053811915002578 Diffraction-like 604 effects in nmr diffusion studies of fluids in porous solids Regional ventricular wall thickening reflects changes in cardiac fiber and sheet 608 structure during contraction: quantification with diffusion tensor MRI, American Jour- 609 nal of Physiology -Heart and Circulatory Physiology Remodeling of cardiac fiber structure after infarction in rats quantified with diffusion tensor 613 MRI, Proceedings: Mathematical, Physical and Engineering Sciences] E. Fieremans, L. M. Burcaw, H.-H. Lee, G. Lemberskiy, J. Veraart, and D. S. Novikov, pp.342-353, 1991.

P. Appl, . B. Math13-]-r, J. W. Guenther, ]. Lee, J. Haddar et al., Partial differential equations of mathematical physics and 632 integral equations A Macroscopic Model for the Diffusion MRI Signal Accounting for Time-Dependent Diffusivity, 634 Effective thermal conductivity of composites with 638 interfacial thermal barrier resistance The cumulant expansion: an overarching mathematical framework for 644 understanding diffusion nmr, Kenkre, Simple solutions of the Torrey-Bloch equations in the NMR study of molecular 641 diffusion Diffusion MRI: Theory, Methods, and Applications, pp.43-949, 1987.

]. L. Latour, P. P. Mitra, R. L. Kleinberg, C. H. Sotak-]-l, K. Latour et al., oi=fnd&pg=PA152&dq=The+ 647 cumulant+expansion:+an+overarching+mathematical+framework+for+understanding+ 648 diffusion+NMR&ots=YI6BKXfFDr&sig=WoLmTLw7ZGATkUe-g3EGbtfz79I Time-dependent diffusion 650 coefficient of fluids in porous media as a probe of surface-to-volume ratio Journal of Mag- 651 netic Resonance, Series A Time-dependent diffusion of 653 water in a biological model system, Proceedings of the National Academy of Sciences Mapping brain anatomical connectivity using white matter tractography, NMR 656 Biomed Diffusion MRI at 25: Exploring brain tissue structure 658 and functionS1053811911012857. 660 [22] D. LeBihan, S.-i. Urayama, T. Aso, T. Hanakawa, and H. Fukuyama, Direct and fast 661 detection of neuronal activation in the human brain with diffusion mri, pp.152-342, 1993.

D. Li, C. Calhoun, D. L. Poupon, J. Bihan, L. Li et al., High order accurate methods for the evaluation of layer heat 668 potentials Diffusion imaging of brain tumors Short-time behavior of the diffusion coefficient 673 as a geometrical probe of porous media Diffusion propagator as a 676 probe of the structure of porous media, Physical review letters Diffusion-weighted MR imaging of acute stroke: 679 correlation with T2-weighted and magnetic susceptibility-enhanced MR imaging in cats, 680, 664 Numerical simulation of diffusion MRI signals using an adaptive time-stepping method, 665 Physics in Medicine and Biology30] D. S. Novikov, E. Fieremans, J. H. Jensen, and J. A. Helpern, Random walks with barriers, pp.4410031-9155, 1974.

D. S. Novikov, J. H. Jensen, J. A. Helpern, E. Fieremans, D. S. Novikov et al., Revealing 687 mesoscopic structural universality with diffusion, Proceedings of the National Academy 688 of Sciences Effective medium theory of a diffusion-weighted signal, 692 695 Relationship between the diffusion time and the diffusion MRI signal observed at 17.2 tesla in the healthy rat brain cortex Spin-echo decay of spins diffusing in a bounded region Reconstruction and visualization of fiber and 701 sheet structure with regularized tensor diffusion MRI in the human heart Spin diffusion measurements: Spin echoes in the presence of 704 a time-dependent field gradient Usefulness of 708 diffusion-weighted MRI with echo-planar technique in the evaluation of cellularity in 709 gliomas, AID-JMRI73.0.CO;2-2. 711 [38] A. Szafer, J. Zhong, and J. C. Gore, Theoretical model for water diffusion in tissues, pp.508-514, 1965.

. Phys, . Rev, Y. Lett, A. Tsushima, K. Takahashi-taketomi et al., Magnetic resonance (MR) differential 717 diagnosis of breast tumors using apparent diffusion coefficient (ADC), pp.4067-718, 1995.

D. S. Reson, T. G. Tuch, M. R. Reese, V. J. Wiegell, and . Wedeen, Diffusion MRI of complex 720 neural architecture Fast magnetic resonance 722 diffusion-weighted imaging of acute human stroke, Imaging Neuron Neurology, vol.3042, issue.9, pp.249-255, 1717.