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)
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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 |
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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 |
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