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

Antoine Lejay 1, 2
1 Probabilités et statistiques
IECL - Institut Élie Cartan de Lorraine
2 TOSCA - TO Simulate and CAlibrate stochastic models
CRISAM - Inria Sophia Antipolis - Méditerranée , IECL - Institut Élie Cartan de Lorraine : UMR7502
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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https://hal.inria.fr/hal-01140960
Contributor : Antoine Lejay <>
Submitted on : Friday, April 10, 2015 - 8:16:55 AM
Last modification on : Thursday, January 11, 2018 - 6:26:22 AM

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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-01140960v1⟩

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