title: Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans.
abstract: Instabilities in cardiac dynamics have been widely investigated in recent years. One facet of this work has studied chaotic behavior, especially possible correlations with fatal arrhythmias. Previously chaotic behavior was observed in various models, specifically in the breakup of spiral and scroll waves. In this paper we study cardiac dynamics and find spatiotemporal chaotic behavior through the Echebarria-Karma modulation equation for alternans in one dimension. Although extreme parameter values are required to produce chaos in this model, it seems significant mathematically that chaos may occur by a different mechanism from previous observations.
authors.affiliation: Mathematical Biosciences Institute, The Ohio State University, Columbus, Ohio 43210, USA.
authors.forename: Shu
authors.initials: S
authors.lastname: Dai
authors.forename: David G
authors.initials: DG
authors.lastname: Schaeffer
mesh_terms: D000200:Action Potentials; D001145:Arrhythmias, Cardiac / Q000503:physiopathology*; D006801:Humans; D008955:Models, Cardiovascular; D032383:Myocytes, Cardiac / Q000502:physiology; D017711:Nonlinear Dynamics