Idiosyncracies of Cardiac Tissue as an Excitable Medium
Cardiac muscle is an excitable medium that is accurately described by empirical, nonlinear partial differential equations. Travelling wave phenomena are vital in its normal (and underly pathological) behaviour: some peculiarities of cardiac muscle, that complicate numerical investigations, are discussed.
KeywordsHopf Bifurcation Cardiac Tissue Travel Wave Solution Nonlinear Ordinary Differential Equation Sinoatrial Node
Unable to display preview. Download preview PDF.
- .A.V. Holden. The mathematics of excitation. In: Biornathematics in 1980 ed. L.M. Ricciardi and A.C. Scott. North-Holland Studies in Applied Maths (1982).Google Scholar
- .A.V. Holden and W. Winlow. Neuronal activity as the behaviour of a differential system. I.E.E.E. Trans. SMC-13 711–719 (1983)Google Scholar
- .A.L. Hodgkin and A.F. Huxley. A quantitative description of membrane current and its application to conduction and excitation in nerve. J.Physiol. 117 500–544 (1952).Google Scholar
- .C. Kaas-Petersen. Bifurcations in the Rose-Hindmarsh and the Chay model. In Chaos in Biological Systems, 183–190 ed. H. Degn, A.V. Holden and L.F. Olsen. Plenum press, New York 1987.Google Scholar
- .A.R. Bishop, D.W. McLaughlin and E.A. Overman II. Pattern selection and competition in near-integrable system. In Structure, Coherence and Chaos in dynamical Systems, 23–40, ed. P.L. Christiansen and R.M. Parmentier. Manchester university Press 1988Google Scholar
- .Oxsoft Heart program manual, Version 2.1. Oxsoft, 25 Beaumont St, Oxford OX1 2NP, England (1988)Google Scholar
- .V.S. Zykov. Simulation of wave processes in excitable media Trans. ed. A.T. Winfree. Manchester University press, 1988.Google Scholar
- .A.V. Holden and M.A. Muhamad. Conduction in peripheral nerve trunks. In The Neurobiology of Pain, ed. A.V. Holden and W. Winlow. 108–120. Manchester University Press, 1984.Google Scholar
- .B.J. West. Fractals, intermittency and morphogenesis. In Chaos in Biological Systems, 305–310, ed. H. Degn, A.V. Holden and L.F. Olsen. Plenum, New York 1987.Google Scholar