Bifurcation analysis and effects of changing ionic conductances on pacemaker rhythm in a sinoatrial node cell model

Pan, Zhenxing; Rei, Yamaguchi; S, Doi

doi:10.1016/j.biosystems.2011.06.001

Cited by 4 publications

(1 citation statement)

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“…When conductance parameters are varied in models of sinoatrial node cells, limit cycles typically arise from Hopf bifurcations (sub- and supercritical), homoclinic bifurcations, or saddle-node bifurcations of limit cycles (54, 118, 119, 122, 123). Bifurcation analysis also suggests that cells from the peripheral part of the sinoatrial node are more resilient to hyperpolarizing loads than those from the central part because of larger pacemaker (I f ) and sodium (I Na ) currents in the peripheral cells (54, 122).…”

Section: Nonlinear Dynamics Of Cardiac Pacemakingmentioning

confidence: 99%

Nonlinear Dynamics in Cardiology

Krogh‐Madsen

Christini

2012

Annu. Rev. Biomed. Eng.

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The dynamics of many cardiac arrhythmias, as well as the nature of transitions between different heart rhythms, have long been considered evidence of nonlinear phenomena playing a direct role in cardiac arrhythmogenesis. In most types of cardiac disease, the pathology develops slowly and gradually, often over many years. In contrast, arrhythmias often occur suddenly. In nonlinear systems, sudden changes in qualitative dynamics can, counter-intuitively, result from a gradual change in a system parameter –this is known as a bifurcation. Here, we review how nonlinearities in cardiac electrophysiology influence normal and abnormal rhythms and how bifurcations change the dynamics. In particular, we focus on the many recent developments in computational modeling at the cellular level focused on intracellular calcium dynamics. We discuss two areas where recent experimental and modeling work have suggested the importance of nonlinearities in calcium dynamics: repolarization alternans and pacemaker cell automaticity.

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Section: Nonlinear Dynamics Of Cardiac Pacemakingmentioning

confidence: 99%

Nonlinear Dynamics in Cardiology

Krogh‐Madsen

Christini

2012

Annu. Rev. Biomed. Eng.

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A new approach to the study of heartbeat dynamics based on mathematical model

Behnia

Ziaei

Ghiassi

2013

2013 21st Iranian Conference on Electrical Engineering (ICEE)

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Bifurcations and Proarrhythmic Behaviors in Cardiac Electrical Excitations

Tsumoto

Kurata

2022

Biomolecules

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The heart is a hierarchical dynamic system consisting of molecules, cells, and tissues, and acts as a pump for blood circulation. The pumping function depends critically on the preceding electrical activity, and disturbances in the pattern of excitation propagation lead to cardiac arrhythmia and pump failure. Excitation phenomena in cardiomyocytes have been modeled as a nonlinear dynamical system. Because of the nonlinearity of excitation phenomena, the system dynamics could be complex, and various analyses have been performed to understand the complex dynamics. Understanding the mechanisms underlying proarrhythmic responses in the heart is crucial for developing new ways to prevent and control cardiac arrhythmias and resulting contractile dysfunction. When the heart changes to a pathological state over time, the action potential (AP) in cardiomyocytes may also change to a different state in shape and duration, often undergoing a qualitative change in behavior. Such a dynamic change is called bifurcation. In this review, we first summarize the contribution of ion channels and transporters to AP formation and our knowledge of ion-transport molecules, then briefly describe bifurcation theory for nonlinear dynamical systems, and finally detail its recent progress, focusing on the research that attempts to understand the developing mechanisms of abnormal excitations in cardiomyocytes from the perspective of bifurcation phenomena.

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Bifurcation analysis and effects of changing ionic conductances on pacemaker rhythm in a sinoatrial node cell model

Cited by 4 publications

References 43 publications

Nonlinear Dynamics in Cardiology

Nonlinear Dynamics in Cardiology

A new approach to the study of heartbeat dynamics based on mathematical model

Bifurcations and Proarrhythmic Behaviors in Cardiac Electrical Excitations

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