**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

Tuesday, April 17, 2018 — 2:00 PM EDT

MC 6460

Silong Zong | York University

An Electro-Neutral Model for ion transport

The Poisson-Nernst-Planck (PNP) system is a standard model for describing ion transport. In many applications, e.g., ions in biological tissues, the presence of thin boundary layers poses both modelling and computational challenges. In this talk, we present simplified electro-neutral (EN) models where the thin boundary layers are replaced by effective boundary conditions. There are two major advantages of EN models. First of all, it is much cheaper to solve them numerically. Secondly, EN models are easier to deal with compared to the original PNP system, therefore it would also be easier to derive macroscopic models for cellular structures using EN models. We will consider the general multi-ion case with either Dirichlet boundary conditions or flux boundary conditions. The derivation is based on matched asymptotics, and the key idea is to bring back higher order contributions into the effective boundary conditions. The EN model will be verified by some numerical examples, including a concrete example for neural axon to simulate action potential.

**Contact Info**

Department of Applied Mathematics

University of Waterloo

Waterloo, Ontario

Canada N2L 3G1

Phone: 519-888-4567, ext. 32700

Fax: 519-746-4319

PDF files require Adobe Acrobat Reader

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1