Chaos in a three-variable model of an excitable cell
type: Item
instance of: scholarly article
title: Chaos in a three-variable model of an excitable cell
zbMATH Open document ID: 0582.92007
DOI: 10.1016/0167-2789(85)90060-0
author: Teresa Ree Chay
published in: Physica D
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 65C20
zbMATH DE Number: 3932836
zbMATH Keywords: three-variable model
zbMATH Keywords: first-order, non-linear differential equations
zbMATH Keywords: ionic events
zbMATH Keywords: excitable membranes
zbMATH Keywords: chaotic action potentials
zbMATH Keywords: intracellular calcium concentration
zbMATH Keywords: chaos
zbMATH Keywords: phase portraits
zbMATH Keywords: excitable cells
MaRDI profile type: Publication
full work available at URL: 0167-2789(85)90060-0
OpenAlex ID: W1995992845
cites work: Abnormal discharges and chaos in a neuronal model system
cites work: Bifurcation and resonance in a model for bursting nerve cells
description: scientific article; zbMATH DE number 3932836