Improved Simulation of Electrodiffusion in the Node of Ranvier by Mesh Adaptation.

ABSTRACT: In neural structures with complex geometries, numerical resolution of the Poisson-Nernst-Planck (PNP) equations is necessary to accurately model electrodiffusion. This formalism allows one to describe ionic concentrations and the electric field (even away from the membrane) with arbitrary spatial and temporal resolution which is impossible to achieve with models relying on cable theory. However, solving the PNP equations on complex geometries involves handling intricate numerical difficulties related either to the spatial discretization, temporal discretization or the resolution of the linearized systems, often requiring large computational resources which have limited the use of this approach. In the present paper, we investigate the best ways to use the finite elements method (FEM) to so

SUBMITTER: Dione I 

PROVIDER: S-EPMC4993505 | biostudies-literature | 2016

REPOSITORIES: biostudies-literature