ArticlePhysical review letters2009
Period-doubling bifurcation in an array of coupled stochastically excitable elements subjected to global periodic forcing.
Article in Physical review letters, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- The 'Reverse FDUF' Mechanism of Atrial Excitation-Contraction Coupling Sustains Calcium Alternans-A Hypothesis.Biomolecules · 2022Article
- Mechanism of carvedilol induced action potential and calcium alternans.Channels (Austin, Tex.) · 2022Article
- The physics of heart rhythm disorders.Physics reports · 2022Article
- The development of L-type CaScientific reports · 2021Article
- Electrophysiological Mechanisms Underlying T-Wave Alternans and Their Role in Arrhythmogenesis.Frontiers in physiology · 2021Review
- Stochastic coupled map model of subcellular calcium cycling in cardiac cells.Chaos (Woodbury, N.Y.) · 2019Article
- A unified theory of calcium alternans in ventricular myocytes.Scientific reports · 2016Article
- The mechanisms of calcium cycling and action potential dynamics in cardiac alternans.Circulation research · 2015Article
- Nonlinear and Stochastic Dynamics in the Heart.Physics reports · 2014Article
- Calcium alternans in cardiac myocytes: order from disorder.Journal of molecular and cellular cardiology · 2013Review
- Calcium alternans in a couplon network model of ventricular myocytes: role of sarcoplasmic reticulum load.American journal of physiology. Heart and circulatory physiology · 2012Article
- Criticality in intracellular calcium signaling in cardiac myocytes.Biophysical journal · 2012Article
- Intracellular calcium signals display an avalanche-like behavior over multiple lengthscales.Frontiers in physiology · 2012Article
- Nonlinear dynamics in cardiology.Annual review of biomedical engineering · 2012Review
- Multi-scale modeling in biology: how to bridge the gaps between scales?Progress in biophysics and molecular biology · 2011Review
- Alternans and arrhythmias: from cell to heart.Circulation research · 2011Review
- Ca2+ alternans in a cardiac myocyte model that uses moment equations to represent heterogeneous junctional SR Ca2+.Biophysical journal · 2010Article
- Spark-induced sparks as a mechanism of intracellular calcium alternans in cardiac myocytes.Circulation research · 2010Article
- T-wave alternans and arrhythmogenesis in cardiac diseases.Frontiers in physiology · 2010Article
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6 authors.
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Abstract
The collective behaviors of coupled, stochastically excitable elements subjected to global periodic forcing are investigated numerically and analytically. We show that the whole system undergoes a period-doubling bifurcation as the driving period decreases, while the individual elements still exhibit random excitations. Using a mean-field representation, we show that this macroscopic bifurcation behavior is caused by interactions between the random excitation, the refractory period, and recruitment (spatial cooperativity) of the excitable elements.
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