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Effective diffusion tensor computed by homogenization

The convergence of the long-time apparent diffusion tensor of diffusion magnetic resonance imaging (dMRI) to the effective diffusion tensor obtained by mathematical homogenization theory was considered for two-compartment geometric models containing non-elongated cells of general shapes. A numerical study was conducted in two and three dimensions to demonstrate this convergence as a function of the diffusion time.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:13716
Date January 2013
CreatorsNguyen, Dang Van, Grebenkov, Denis, Poupon, Cyril, Le Bihan, Denis, Li, Jing-Rebecca Li
ContributorsCMAP, Ecole Polytechnique, LPMC, CNRS - Ecole Polytechnique, Neurospin, CEA Saclay, Equipe DEFI, INRIA Saclay, Universität Leipzig
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:article, info:eu-repo/semantics/article, doc-type:Text
SourceDiffusion fundamentals 18 (2013) 9, S. 1-6
Rightsinfo:eu-repo/semantics/openAccess
Relationurn:nbn:de:bsz:15-qucosa-178897, qucosa:13496

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