UNSPECIFIED (1997) On the propagation of calcium waves in an inhomogeneous medium. SIAM JOURNAL ON APPLIED MATHEMATICS, 57 (1). pp. 73-94. ISSN 0036-1399

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Abstract

Although the exact details are disputed, it is well established that propagating waves of increased intracellular free Ca2+ concentration arise from a positive feedback or autocatalytic mechanism whereby Ca2+ stimulates its own release. Most previous modeling of the propagation of Ca2+ waves has assumed that the sites of autocatalytic Ca2+ release, the activation sites, are homogeneously distributed through the cytoplasm. We investigate how the spacing and size of the activation sites affect the existence and speed of propagating calcium waves. We first study the simplest model of an excitable system to obtain analytic estimates of the critical spacing. We then derive analytic expressions for the speed of the advancing wave front in the self-oscillatory case and compare them to numerical results. The theoretical results are illustrated by computed solutions of two similar models for calcium wave propagation.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	SIAM JOURNAL ON APPLIED MATHEMATICS
Publisher:	SIAM PUBLICATIONS
ISSN:	0036-1399
Date:	February 1997
Volume:	57
Number:	1
Number of Pages:	22
Page Range:	pp. 73-94
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/18022

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