The Mathematical Institute, University of Oxford, Eprints Archive

Derivation of the bidomain equations for a beating heart with a general microstructure

Chapman, S. J. Derivation of the bidomain equations for a beating heart with a general microstructure. SIAM Journal of Applied Mathematics . ISSN 0036-1399 (Submitted)

[img]
Preview
PDF - Submitted Version
3567Kb

Abstract

A novel multiple scales method is formulated that can be applied to problems which have an almost
periodic microstructure not in Cartesian coordinates but in a general curvilinear coordinate system.
The method is applied to a model of the electrical activity of cardiac myocytes and used to derive a
version of the bidomain equations describing the macroscopic electrical activity of cardiac tissue. The
treatment systematically accounts for the non-uniform orientation of the cells within the tissue and for
deformations of the tissue occurring as a result of the heart beat.

Item Type:Article
Subjects:O - Z > Partial differential equations
A - C > Approximations and expansions
A - C > Biology and other natural sciences
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:1043
Deposited By:Jon Chapman
Deposited On:17 Jan 2011 09:04
Last Modified:17 Jan 2011 09:04

Repository Staff Only: item control page