Model for spiral wave formation in excitable media
- 2 May 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (18) , 1880-1883
- https://doi.org/10.1103/physrevlett.60.1880
Abstract
A model for the velocity of a wave front having a free edge and moving in an excitable medium is proposed. It contains three main ingredients: a curvature effect, a normal velocity profile effect at a free edge, and a finite width effect. The model allows one to study the process in which arbitrary initial conditions evolve into rotating spiral waves. Two new scaling laws, for the time to form a spiral’s core and for the distance between the cores of a mirror image pair of rotating spiral waves, are numerically derived.Keywords
This publication has 8 references indexed in Scilit:
- Mathematical Aspects of Hodgkin-Huxley Neural TheoryPublished by Cambridge University Press (CUP) ,1987
- On the nonlinear thermal diffusive theory of curved flamesJournal de Physique, 1987
- Understanding the patterns in the BZ reagentJournal of Statistical Physics, 1985
- Geometrical Approach to Moving-Interface DynamicsPhysical Review Letters, 1983
- Spiral waves of spreading depression in the isolated chicken retinaJournal of Neurobiology, 1983
- Optimum topographical conditions for reverberating cortical spreading depression in ratsJournal of Neurobiology, 1974
- Concentration Wave Propagation in Two-dimensional Liquid-phase Self-oscillating SystemNature, 1970
- Spatial periodic homogeneous chemical reactionThe Journal of Physical Chemistry, 1969