Physical Review Letters · 2001 · 57 citations · 12 references
Natural SciencesCardiologyPhysicsDynamical SystemsStochastic ModelingStochastic ProcessesBiological OscillationsBiomedical Signal ModelingNoiseStatistical MechanicsStochastic Differential EquationsStochastic Processes In BiophysicsBeat-to-beat Cardiac DynamicsCardiac OscillationsNoise StatisticsNoise-induced PhenomenaOscillator Noise AnalysisRandom NoiseStatistical Signal ModelingStochastic Resonance
Patients at high risk for sudden death often exhibit complex heart rhythms in which abnormal heartbeats are interspersed with normal heartbeats. We analyze such a complex rhythm in a single patient over a 12-h period and show that the rhythm can be described by a theoretical model consisting of two interacting oscillators with stochastic elements. By varying the magnitude of the noise, we show that for an intermediate level of noise, the model gives best agreement with key statistical features of the dynamics.
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A mathematical model of parasystole and its application to clinical arrhythmias.
Gordon K. Moe, José Jalife, William J. Mueller et al. · Circulation · 1977 · 198 citations · Full text
Medicine, Cardiology, Physiology +17
Gustav A. Hedlund · American Journal of Mathematics · 1944 · 120 citations