Stochastic dynamics of phase singularities under ventricular fibrillation in 2D Beeler-Reuter model
نویسندگان
چکیده
منابع مشابه
Transient Population Dynamics of Phase Singularities in 2D Beeler-Reuter Model
The paper presented a transient population dynamics of phase singularities in 2D Beeler-Reuter model. Two stochastic modelings are examined: (i) the Master equation approach with the transition rate (i.e., λ(n, t) = λ(t)n and μ(n, t) = μ(t)n) and (ii) the nonlinear Langevin equation approach with a multiplicative noise. The exact general solution of the Master equation with arbitrary time-depen...
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G.W. Beeler and H. Reuter recognized this need and in 1974 attempted to model arguably the most important organ in the human body, the heart. Their inspiration and methods for their model was drawn from their own prior experiments as well as work done by Hodgkin and Huxley in 1952 to model the action potential of an axon. The HH model provided one of the first mathematical models of a biologica...
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BACKGROUND Multiple excitation wavelets are present during ventricular fibrillation (VF). The underlying wavelet organization of VF is unclear. Phase singularities (PSs)-locations of ambiguous activation state-underlie reentry and wavelet splitting and represent the sources of VF. Understanding the mechanisms of PS formation might be important in the development of effective therapies for sudde...
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We investigate an explicit finite difference scheme for a BeelerReuter based model of cardiac electrical activity. As our main result, we prove that the finite difference solutions are bounded in the L∞-norm. We also prove the existence of a weak solution by showing convergence to the solutions of the underlying model as the discretization parameters tend to zero. The convergence proof is based...
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In the whole heart, millions of cardiac cells are involved in ventricular fibrillation (VF). Experimental studies indicate that VF is sustained by re-entrant activity, and that each re-entrant wave rotates around a filament of phase singularity. Filaments act as organising centres, and offer a way to simplify and quantify the complex spatio-temporal behaviour observed in VF. Where a filament to...
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ژورنال
عنوان ژورنال: AIP Advances
سال: 2011
ISSN: 2158-3226
DOI: 10.1063/1.3614458