Macroscopic cardiac source model and propagation waves in excitable media

P. Colli Franzone, L. Guerri and S. Rovida
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P. Colli Franzone: University of Pavia, Institute of Numerical Analysis of C.N.R. and Department of Informatics
L. Guerri: University of Pavia, Institute of Numerical Analysis of C.N.R. and Department of Informatics
S. Rovida: University of Pavia, Institute of Numerical Analysis of C.N.R. and Department of Informatics

A chapter in Biomathematics and Related Computational Problems, 1988, pp 615-627 from Springer

Abstract: Abstract We develop a system coupling a non-linear parabolic equation with an elliptic one, suitable to describe the excitation process in the anisotropic cardiac muscle. A singular perturbation analysis is performed to derive a reduced problem for the extracellular potential field generated by the excitation wavefronts spreading in the heart tissue. Perturbation arguments allow to obtain an eikonal equation modeling the wavefront propagation from a macroscopic point of view. We present some numerical results in a two dimensional isotropic sheet to establish the performance of the eikonal equation, especially in presence of collision.

Keywords: Singular Perturbation; Excitable Medium; Eikonal Equation; Singular Perturbation Problem; Linear Parabolic Equation (search for similar items in EconPapers)
Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_55

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DOI: 10.1007/978-94-009-2975-3_55

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