Random walk diffusion simulations in semi-permeable layered media with varying diffusivity.

ABSTRACT: In this paper we present random walk based solutions to diffusion in semi-permeable layered media with varying diffusivity. We propose a novel transit model for solving the interaction of random walkers with a membrane. This hybrid model is based on treating the membrane permeability and the step change in diffusion coefficient as two interactions separated by an infinitesimally small layer. By conducting an extensive analytical flux analysis, the performance of our hybrid model is compared with a commonly used membrane transit model (reference model). Numerical simulations demonstrate the limitations of the reference model in dealing with step changes in diffusivity and show the capability of the hybrid model to overcome this limitation and to offer substantial gains in computational effi

SUBMITTER: Alemany I 

PROVIDER: S-EPMC9232609 | biostudies-literature | 2022 Jun

REPOSITORIES: biostudies-literature