Estimation of the mean residence time in cells surrounded by semi-permeable membranes by a Monte Carlo method
Antoine Lejay · HAL (Le Centre pour la Communication Scientifique Directe) · 2015
This report aims at validating a Monte Carlo algorithm to simulate the behavior of diffusive particles in a mediawith semi-permeables membranes seen as approximationsof a thin layer problems. Following some homogenization approachfor solving a diffusion Magnetic Resonance Imaging problem (dMRI), we estimate themean residence time inside a cell living a in one-dimensional periodicmedia and compare the estimated value with the one computedby solving an eigenvalue problem. The numerical analysis shows a good agreement, unless the strength of the membraneis too strong.