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)
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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 |
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