MR diffusion tensor spectroscopy and imaging, Biophys. J, vol.66, pp.259-267, 1994. ,
URL : https://hal.archives-ouvertes.fr/hal-00349721
The effects of microscopic tissue parameters on the diffusion weighted magnetic resonance imaging experiment, NMR Biomed, vol.14, pp.77-93, 2001. ,
The basis of anisotropic water diffusion in the nervous system -a technical review, NMR Biomed, vol.15, pp.435-455, 2002. ,
, Random Walks in Biology, 1993.
Studies of restricted diffusion in heterogeneous media containing variations in susceptibility, Magnetic Reson. Med, vol.19, pp.276-284, 1991. ,
NMR survey of reflected Brownian motion, Rev. Mod. Phys, vol.79, issue.3, pp.1077-1137, 2007. ,
Axcaliber: a method for measuring axon diameter distribution from diffusion MRI, Magnetic Reson, Med, vol.59, pp.1347-1354, 2008. ,
Orientationally invariant indices of axon diameter and density from diffusion MRI, NeuroImage, vol.52, pp.1374-1389, 2010. ,
Axon diameter mapping in the presence of orientation dispersion with diffusion MRI, NeuroImage, vol.56, pp.1301-1315, 2011. ,
NODDI: Practical in vivo neurite orientation dispersion and density imaging of the human brain, NeuroImage, vol.61, pp.1000-1016, 2012. ,
Modeling diffusion of intracellular metabolites in the mouse brain up to very high diffusion-weighting: diffusion in long fibers (almost) accounts for non-monoexponential attenuation, Magnetic Reson. Med, vol.77, pp.343-350, 2017. ,
URL : https://hal.archives-ouvertes.fr/cea-01751423
Bloch Equations with Diffusion Terms, Phys. Rev, vol.104, issue.3, pp.563-565, 1956. ,
DOI : 10.1103/physrev.104.563
An image-based finite difference model for simulating restricted diffusion, Magnetic Reson. Med, vol.50, pp.373-382, 2003. ,
Numerical study of water diffusion in biological tissues using an improved finite difference method, Phys. Med. Biol, vol.52, p.111, 2007. ,
A finite difference method with periodic boundary conditions for simulations of diffusion-weighted magnetic resonance experiments in tissue, Phys. Med. Biol, vol.57, p.35, 2012. ,
Numerical simulation of diffusion MRI signals using an adaptive time-stepping method, Phys. Med. Biol, vol.59, p.441, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00763888
A finite elements method to solve the Bloch-Torrey equation applied to diffusion magnetic resonance imaging, J. Comput. Phys, vol.263, pp.283-302, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01111047
A parametric finite element solution of the generalised Bloch-Torrey equation for arbitrary domains, J. Magnetic Reson, vol.259, pp.126-134, 2015. ,
, Random Walks and Random Environments, 1995.
Theoretical model for water diffusion in tissues, Magnetic Reson. Med, vol.33, pp.697-712, 1995. ,
DOI : 10.1002/mrm.1910330516
Numerical model for calculation of apparent diffusion coefficients (ADC) in permeable cylinders-comparison with measured ADC in spinal cord white matter, Magnetic Reson. Med, vol.37, pp.387-394, 1997. ,
Convergence and parameter choice for Monte-Carlo simulations of diffusion MRI, IEEE Trans. Med. Imaging, vol.28, issue.9, pp.1354-1364, 2009. ,
Simulation time for the two astrocytes using the Bin3D + GPU method ,
A fast random walk algorithm for computing the pulsedgradient spin-echo signal in multiscale porous media, J. Magnetic Reson, vol.208, pp.243-255, 2011. ,
GPU accelerated Monte Carlo simulation of pulsed-field gradient NMR experiments, J. Magnetic Reson, vol.211, pp.67-73, 2011. ,
New paradigm to assess brain cell morphology by diffusion-weighted MR spectroscopy in vivo, Proc. Natl. Acad. Sci, vol.113, pp.6671-6676, 2016. ,
URL : https://hal.archives-ouvertes.fr/cea-02155309
Highfidelity meshes from tissue samples for diffusion MRI simulations, Medical Image Computing and Computer-Assisted Intervention -MICCAI 2010, 2010. ,
DOI : 10.1007/978-3-642-15745-5_50
URL : https://link.springer.com/content/pdf/10.1007%2F978-3-642-15745-5_50.pdf
Diffusion microscopist simulator: a general Monte Carlo simulation system for diffusion magnetic resonance imaging, PLOS ONE, vol.8, issue.10, pp.1-12, 2013. ,
DOI : 10.1371/journal.pone.0076626
URL : https://hal.archives-ouvertes.fr/hal-00925091
Improving the realism of white matter numerical phantoms: a step toward a better understanding of the influence of structural disorders in diffusion MRI, Front. Phys, vol.6, p.12, 2018. ,
Octree Encoding: a New Technique for the Representation, Manipulation and Display of Arbitrary 3-D Objects by Computer, 1980. ,
Geometric modeling using octree encoding, Comput. Graphics Image Process, vol.19, pp.129-147, 1982. ,
DOI : 10.1016/0146-664x(82)90104-6
Can we detect the effect of spines and leaflets on the diffusion of brain intracellular metabolites?, NeuroImage, 2017. ,
URL : https://hal.archives-ouvertes.fr/cea-02155338
Quantitative susceptibility mapping of kidney inflammation and fibrosis in type 1 angiotensin receptor-deficient mice, NMR Biomed, vol.26, pp.1853-1863, 2013. ,
Tetrahedral mesh generation from volumetric binary and gray-scale images, Proceedings of the Sixth IEEE International Conference on Symposium on Biomedical Imaging: From Nano to Macro, 2009. ,
, Computational Geometry Algorithms Library
A robust segment/triangle intersection algorithm for interference tests. Efficiency study, Comput. Geometry, vol.43, pp.474-492, 2010. ,
Gpu octrees and optimized search, VIII Brazilian Symposium on Games and Digital Entertainment, 2009. ,
A simulation environment for diffusion weighted MR experiments in complex media, Magnetic Reson. Med, vol.62, pp.771-778, 2009. ,
An efficient point in polyhedron algorithm, Computer Vision, Graphics, Image Process, vol.26, pp.118-125, 1984. ,
Fast and robust GPU-based point-in-polyhedron determination, Computer-Aided Des, vol.87, pp.20-28, 2017. ,
The validity of the short-gradient-pulse approximation in NMR studies of restricted diffusion. Simulations of molecules diffusing between planes, in cylinders and spheres, J. Magnetic Reson., Series A, vol.116, pp.77-86, 1995. ,
Fast, minimum storage ray-triangle intersection, J. Graphics Tools, vol.2, pp.21-28, 1997. ,
Boundary conditions for stochastic solutions of the convection-diffusion equation, Phys. Rev. E, vol.68, issue.3, p.9, 2003. ,