Excitable chemical reaction systems I. Definition of excitability and simulation of model systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1975 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Biology, volume 2, pages 123-132 (issn: 0303-6812, eissn: 1432-1416,

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Authors: Karfunkel, H. R.; Seelig, F. F.;

doi: 10.1007/bf00275924

Excitable chemical reaction systems I. Definition of excitability and simulation of model systems

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Abstract

Using a computer program based on the well-known Crank-Nicolson method, a number of onedimensional chemical reaction-diffusion systems showing “regenerative excitability” are simulated, both on a finite interval and on a circle. Hereby several phenomena known from nerve physiology as travelling trains and pulse omissions have been reproduced.

Related Organizations

University of Tübingen
Germany

Keywords

Control/observation systems governed by partial differential equations, Applications to the sciences, General biology and biomathematics

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