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Chaos in a three-variable model of an excitable cell. (English) Zbl 0582.92007

We describe chaotic behavior in a model that consists of three first- order, non-linear differential equations, which represent ionic events in excitable membranes. For a certain range of conductances, the model generates chaotic action potentials, and the intracellular calcium concentration also varies chaotically. The chaos was characterized by constructing phase portraits and one-variable maps using the membrane potentials and calcium concentrations. This is the first, simple, biophysically realistic model for excitable cells that shows endogenous chaos.

MSC:

92C05 Biophysics
65C20 Probabilistic models, generic numerical methods in probability and statistics
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