Estimation of the mean residence time in cells surrounded by semi-permeable membranes by a Monte Carlo method
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...