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

Antoine Lejay 1, 2
1 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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Rapport
[Research Report] RR-8709, Inria Nancy - Grand Est (Villers-lès-Nancy, France); INRIA. 2015
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Soumis le : mercredi 14 octobre 2015 - 10:22:43
Dernière modification le : mercredi 17 octobre 2018 - 11:29:05

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  • HAL Id : hal-01140960, version 2

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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-01140960v2〉

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