The Dynamics of Organizing Centers: Numerical Experiments in Differential Geometry

A. T. Winfree and W. Guilford
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A. T. Winfree: University of Arizona, Department of Ecology and Evolutionary Biology
W. Guilford: University of Arizona, Department of Physiology

A chapter in Biomathematics and Related Computational Problems, 1988, pp 697-716 from Springer

Abstract: Abstract Stable self-organizing sources of short-period rhythmicity arise in excitable media in response to an appropriate stimulus. Those seen in myocardium (heart muscle) and in the Belousov-Zhabotinsky reagent exhibit the dynamical behavior expected theoretically — but the theory is almost entirely undeveloped. A program of numerical exploration is outlined whereby to alter this situation, hopefully discovering completely stable 3-dimensional organizing centers, and the requirements for their creation in the laboratory.

Keywords: Excitable Medium; Vortex Tube; Spiral Wave; Vortex Filament; Reentrant Tachycardia (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_63

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DOI: 10.1007/978-94-009-2975-3_63

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