title: Heart rate variability as determinism with jump stochastic parameters.
abstract: We use measured heart rate information (RR intervals) to develop a one-dimensional nonlinear map that describes short term deterministic behavior in the data. Our study suggests that there is a stochastic parameter with persistence which causes the heart rate and rhythm system to wander about a bifurcation point. We propose a modified circle map with a jump process noise term as a model which can qualitatively capture such this behavior of low dimensional transient determinism with occasional (stochastically defined) jumps from one deterministic system to another within a one parameter family of deterministic systems.
authors.affiliation: jizheng@clarkson.edu
authors.forename: Jiongxuan
authors.initials: J
authors.lastname: Zheng
authors.forename: Joseph D
authors.initials: JD
authors.lastname: Skufca
authors.forename: Erik M
authors.initials: EM
authors.lastname: Bollt
mesh_terms: D003198:Computer Simulation; D006339:Heart Rate / Q000502:physiology*; D006801:Humans; D008955:Models, Cardiovascular; D017711:Nonlinear Dynamics; D013269:Stochastic Processes