Chaos in a three-variable model of an excitable cell
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.
first-order, non-linear differential equations
scientific article; zbMATH DE number 3932836