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Reports (Research Report) Year : 2015

Estimation of the mean residence time in cells surrounded by semi-permeable membranes by a Monte Carlo method

Abstract

This report aims at validating a Monte Carlo algorithm to simulate the behavior of diffusive particles in a media with semi-permeables membranes seen as approximations of a thin layer problems. Following some homogenization approach for solving a diffusion Magnetic Resonance Imaging problem (dMRI), we estimate the mean residence time inside a cell living a in one-dimensional periodic media and compare the estimated value with the one computed by solving an eigenvalue problem. The numerical analysis shows a good agreement, unless the strength of the membrane is too strong.
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Dates and versions

hal-01140960 , version 1 (10-04-2015)
hal-01140960 , version 2 (14-10-2015)

Identifiers

  • HAL Id : hal-01140960 , version 2

Cite

Antoine Lejay. Estimation of the mean residence time in cells surrounded by semi-permeable membranes by a Monte Carlo method. [Research Report] RR-8709, Inria Nancy - Grand Est (Villers-lès-Nancy, France); INRIA. 2015. ⟨hal-01140960v2⟩
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