Derivation of the bidomain equations for a beating heart with a general microstructure
Derivation of the bidomain equations for a beating heart with a general microstructure
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 nonuniform orientation of the cells within the tissue and for deformations of the tissue occurring as a result of the heart beat
657-675
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Chapman, S.J.
2fb8f0b2-56ab-4ac7-8518-35abf1047cf9
4 May 2011
Richardson, Giles
3fd8e08f-e615-42bb-a1ff-3346c5847b91
Chapman, S.J.
2fb8f0b2-56ab-4ac7-8518-35abf1047cf9
Richardson, Giles and Chapman, S.J.
(2011)
Derivation of the bidomain equations for a beating heart with a general microstructure.
SIAM Journal on Applied Mathematics, 71 (3), .
(doi:10.1137/090777165).
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 nonuniform orientation of the cells within the tissue and for deformations of the tissue occurring as a result of the heart beat
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myocytes_offprint.pdf
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Published date: 4 May 2011
Organisations:
Applied Mathematics
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Local EPrints ID: 202807
URI: http://eprints.soton.ac.uk/id/eprint/202807
ISSN: 0036-1399
PURE UUID: 6f858bdf-9140-4020-8811-ad75ddcca18a
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Date deposited: 10 Nov 2011 11:14
Last modified: 15 Mar 2024 03:33
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Author:
S.J. Chapman
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