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Effective diffusion tensor computed by homogenization
Ecole Polytechnique, France.ORCID iD: 0000-0002-3213-0040
LPMC, CNRS - Ecole Polytechnique, Palaiseau, France.
Equipe DEFI, INRIA Saclay, Palaiseau, France.
Neurospin, CEA Saclay, Gif-sur-Yvette, France.
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2013 (English)In: Diffusion Fundamentals, ISSN 1862-4138, E-ISSN 1862-4138, Effective diffusion tensor computed by homogenization, Vol. 18, p. 1-6Article in journal (Refereed) Published
Abstract [en]

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. 

Place, publisher, year, edition, pages
2013. Vol. 18, p. 1-6
Keywords [en]
Effective diffusion tensor, apparent diffusion tensor, two-compartment model, Bloch- Torrey equation, Laplace equation.
National Category
Natural Sciences
Research subject
Applied and Computational Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-225135OAI: oai:DiVA.org:kth-225135DiVA, id: diva2:1194331
Conference
MRPM 11
Note

QC 20180403

Available from: 2018-03-31 Created: 2018-03-31 Last updated: 2018-04-03Bibliographically approved

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http://ul.qucosa.de/fileadmin/data/qucosa/documents/18433/diff_fund_18%282013%299.pdf

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