Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, 1992. ,
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805
Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory, SIAM Journal on Mathematical Analysis, vol.21, issue.4, pp.823-836, 1990. ,
DOI : 10.1137/0521046
Asymptotic analysis for periodic structures, de Studies in Mathematics and its Applications, 1978. ,
The Periodic Unfolding Method in Perforated Domains, Portugaliae Mathematica, vol.63, issue.4, pp.467-496, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00113107
The Periodic Unfolding Method in Homogenization, SIAM Journal on Mathematical Analysis, vol.40, issue.4, pp.1585-1620, 2012. ,
DOI : 10.1137/080713148
URL : https://hal.archives-ouvertes.fr/hal-00693080
The Periodic Unfolding Method in Domains with Holes, SIAM Journal on Mathematical Analysis, vol.44, issue.2, pp.718-760, 2012. ,
DOI : 10.1137/100817942
URL : https://hal.archives-ouvertes.fr/hal-00591632
A Macroscopic Model Including Membrane Exchange for Diffusion MRI, SIAM Journal on Applied Mathematics, vol.74, issue.2, pp.516-546, 2014. ,
DOI : 10.1137/130914255
Mathematical analysis and numerical methods for science and technology, 1993. ,
The periodic unfolding method for a class of imperfect transmission problems, Journal of Mathematical Sciences, vol.54, issue.3, pp.891-927, 2011. ,
DOI : 10.1007/s10958-011-0443-2
Applications of diffusion-weighted and diffusion tensor MRI to white matter diseases - a review, NMR in Biomedicine, vol.13, issue.7-8, pp.570-577, 2002. ,
DOI : 10.1002/nbm.787
Principles and application of self-diffusion measurements by nuclear magnetic resonance, Advances in magnetic resonance, pp.1-89, 1988. ,
Diffusion mri at 25: Exploring brain tissue structure and function, NeuroImage, p.2012 ,
Numerical study of a macroscopic finite pulse model of the diffusion MRI signal, Journal of Magnetic Resonance, vol.248, pp.54-65, 2014. ,
DOI : 10.1016/j.jmr.2014.09.004
URL : https://hal.archives-ouvertes.fr/hal-01111058
Diffusion in composite solid: threshold phenomenon and homogenization, International Journal of Engineering Science, vol.37, issue.12, pp.1597-1610, 1999. ,
DOI : 10.1016/S0020-7225(98)00139-6
Different choices of scaling in homogenization of diffusion and interfacial exchange in a porous medium, Mathematical Methods in the Applied Sciences, vol.42, issue.5, pp.1257-1282, 2008. ,
DOI : 10.1002/mma.966
Diffusion-weighted echo-planar magnetic resonance imaging for the assessment of tumor cellularity in patients with soft-tissue sarcomas, Journal of Magnetic Resonance Imaging, vol.130, issue.6, pp.1355-1359, 2009. ,
DOI : 10.1002/jmri.21755
Usefulness of diffusion-weighted MRI with echo-planar technique in the evaluation of cellularity in gliomas, Journal of Magnetic Resonance Imaging, vol.16, issue.1, pp.53-60, 1999. ,
DOI : 10.1002/(SICI)1522-2586(199901)9:1<53::AID-JMRI7>3.0.CO;2-2
Magnetic resonance (MR) differential diagnosis of breast tumors using apparent diffusion coefficient (ADC) on 1.5-T, Journal of Magnetic Resonance Imaging, vol.198, issue.2, pp.249-255, 2009. ,
DOI : 10.1002/jmri.21854
Fast magnetic resonance diffusion-weighted imaging of acute human stroke, Neurology, vol.42, issue.9, 1992. ,
DOI : 10.1212/WNL.42.9.1717