Effects of shear flows on nonlinear waves in excitable media

Biktashev, V.N., Biktasheva, I.V., Holden, A.V., Tsyganov, M.A., Brindley, J. and Hill, N.A. (1999) Effects of shear flows on nonlinear waves in excitable media. Journal of Biological Physics, 25(2-3), pp. 101-113. (doi:10.1023/A:1005160932148)

Full text not currently available from Enlighten.

Publisher's URL: http://dx.doi.org/10.1023/A:1005160932148

Abstract

If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wavetrains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, whilst the breaking of repetitive wavetrains happens for arbitrarily small velocity gradients. Since broken waves evolve into new spiral wave sources, this leads to spatio-temporal irregularity.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Hill, Professor Nicholas
Authors: Biktashev, V.N., Biktasheva, I.V., Holden, A.V., Tsyganov, M.A., Brindley, J., and Hill, N.A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Biological Physics
Publisher:Springer Verlag
ISSN:0092-0606
ISSN (Online):1573-0689

University Staff: Request a correction | Enlighten Editors: Update this record