Effect of sodium channel parameters on reentrant arrhythmia: A computational study
01 Dec 2010-pp 10-11
TL;DR: The ventricular reentrant arrhythmia is discussed using computational models of cardiac ventricular cell from cellular level to tissue level and among several types of cardiac arrhythmias, ventricular Reentrant Arrhythmias is being more dangerous.
Abstract: Untiring cardiac activity keeps human being to perform activities from birth to death Cardiac dysfunction is associated with a variety of cardiovascular conditions that lead to heart failure These cardio vascular diseases (CVD) are responsible for more than 5 million deaths each year A major group of CVD involves disturbances in the normal cardiac rhythm (Cardiac Arrhythmias) due to failure in the coordination among contraction of cardiac muscles Among several types of cardiac arrhythmias, ventricular reentrant arrhythmia is being more dangerous Recent theoretical and experimental studies have stressed the importance of modeling of reentrant arrhythmia This presentation discusses the ventricular reentrant arrhythmia using computational models of cardiac ventricular cell from cellular level to tissue level
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TL;DR: A mathematical model of membrane action potentials of mammalian ventricular myocardial fibres is described, based as closely as possible on ionic currents which have been measured by the voltage‐clamp method.
Abstract: 1. A mathematical model of membrane action potentials of mammalian ventricular myocardial fibres is described. The reconstruction model is based as closely as possible on ionic currents which have been measured by the voltage-clamp method.2. Four individual components of ionic current were formulated mathematically in terms of Hodgkin-Huxley type equations. The model incorporates two voltage- and time-dependent inward currents, the excitatory inward sodium current, i(Na), and a secondary or slow inward current, i(s), primarily carried by calcium ions. A time-independent outward potassium current, i(K1), exhibiting inward-going rectification, and a voltage- and time-dependent outward current, i(x1), primarily carried by potassium ions, are further elements of the model.3. The i(Na) is primarily responsible for the rapid upstroke of the action potential, while the other current components determine the configuration of the plateau of the action potential and the re-polarization phase. The relative importance of inactivation of i(s) and of activation of i(x1) for termination of the plateau is evaluated by the model.4. Experimental phenomena like slow recovery of the sodium system from inactivation, frequency dependence of the action potential duration, all-or-nothing re-polarization, membrane oscillations are adequately described by the model.5. Possible inadequacies and shortcomings of the model are discussed.
1,414 citations
TL;DR: A mathematical model of the action potential of human ventricular cells that, while including a high level of electrophysiological detail, is computationally cost-effective enough to be applied in large-scale spatial simulations for the study of reentrant arrhythmias.
Abstract: The experimental and clinical possibilities for studying cardiac arrhythmias in human ventricular myocardium are very limited. Therefore, the use of alternative methods such as computer simulations is of great importance. In this article we introduce a mathematical model of the action potential of human ventricular cells that, while including a high level of electrophysiological detail, is computationally cost-effective enough to be applied in large-scale spatial simulations for the study of reentrant arrhythmias. The model is based on recent experimental data on most of the major ionic currents: the fast sodium, L-type calcium, transient outward, rapid and slow delayed rectifier, and inward rectifier currents. The model includes a basic calcium dynamics, allowing for the realistic modeling of calcium transients, calcium current inactivation, and the contraction staircase. We are able to reproduce human epicardial, endocardial, and M cell action potentials and show that differences can be explained by differences in the transient outward and slow delayed rectifier currents. Our model reproduces the experimentally observed data on action potential duration restitution, which is an important characteristic for reentrant arrhythmias. The conduction velocity restitution of our model is broader than in other models and agrees better with available data. Finally, we model the dynamics of spiral wave rotation in a two-dimensional sheet of human ventricular tissue and show that the spiral wave follows a complex meandering pattern and has a period of 265 ms. We conclude that the proposed model reproduces a variety of electrophysiological behaviors and provides a basis for studies of reentrant arrhythmias in human ventricular tissue.
1,251 citations
TL;DR: This work uses a detailed model of the human ventricles, including a detailed description of cell electrophysiology, ventricular anatomy, and fiber direction anisotropy, to study the organization of human VF and finds that human Vf is driven by only approximately 10 reentrant sources and thus is much more organized than VF in animal hearts of comparable size.
Abstract: Sudden cardiac death is a major cause of death in the industrialized world, claiming approximately 300 000 victims annually in the United States alone. In most cases, sudden cardiac death is caused by ventricular fibrillation (VF). Experimental studies in large animal hearts have shown that the uncoordinated contractions during VF are caused by large numbers of chaotically wandering reentrant waves of electrical activity. However, recent clinical data on VF in the human heart seem to suggest that human VF may have a markedly different organization. Here, we use a detailed model of the human ventricles, including a detailed description of cell electrophysiology, ventricular anatomy, and fiber direction anisotropy, to study the organization of human VF. We show that characteristics of our simulated VF are qualitatively similar to the clinical data. Furthermore, we find that human VF is driven by only approximately 10 reentrant sources and thus is much more organized than VF in animal hearts of comparable size, where VF is driven by approximately 50 sources. We investigate the influence of anisotropy ratio, tissue excitability, and restitution properties on the number of reentrant sources driving VF. We find that the number of rotors depends strongest on minimum action potential duration, a property that differs significantly between human and large animal hearts. Based on these findings, we suggest that the simpler spatial organization of human VF relative to VF in large animal hearts may be caused by differences in minimum action potential duration. Both the simpler spatial organization of human VF and its suggested cause may have important implications for treating and preventing this dangerous arrhythmia in humans.
157 citations
TL;DR: This study provides a new mechanism linking Na channel function, compromised by voltage-dependent Na channel drug block, with proarrhythmic conditions that can lead to sudden cardiac death following premature stimulation.
Abstract: Objective: The fate of an impulse arising from stimulation is determined by the ability of the wave front to recruit sufficient Na channels from adjacent cells. Previous numerical studies of mutant Na channels revealed both the velocity of a conditioning wave and the recruiting capacity of the front as determinants of the vulnerable period (VP), an interval within which excitation results in unidirectional conduction. Drugs that block excitatory Na channels in a voltage dependent manner, such as antiarrhythmics, abused substances and antidepressants, slow the restoration of Na conductance trailing an action potential and are associated with proarrhythmia and sudden cardiac death. We hypothesized that drug-induced slowing of Na conductance recovery would flatten the Na conductance restoration gradient thereby reducing the recruiting capacity of a front, extending the VP and increasing the probability of unidirectional propagation. Methods: In a cable of ventricular cells, we explored the sensitivity of the VP to voltage-dependent blockade. While varying the unbinding time constant from 100 ms to 5 s, we measured the Na conductance restoration gradient, the liminal length, the refractory period (RP) and the VP. Results: Reducing the rate of drug unbinding flattened the restoration gradient, diminished the recruiting capacity of a premature impulse and extended the liminal length, RP and the VP. The VP was linearly dependent on the drug unbinding time constant. Rapidly unbinding drugs (time constant <1 s) reduced the liminal length below that of a quiescent cable. Conclusions: Slowing the unbinding rate of voltage-dependent drug block of Na channels extended the RP and the VP. Drugs with unbinding time constants greater than 1 s dramatically increased the probability of unidirectional propagation, reflecting increases in both the RP and the VP. This study provides a new mechanism linking Na channel function, compromised by voltage-dependent Na channel drug block, with proarrhythmic conditions that can lead to sudden cardiac death following premature stimulation.
22 citations
TL;DR: This study shows that regional differences in cardiac electrophysiology are a potentially important mechanism for destabilizing re-entry and may act synergistically with other mechanisms to mediate the transition from ventricular tachycardia to ventricular fibrillation.
Abstract: Re-entry is an important mechanism of cardiac arrhythmias. During re-entry a wave of electrical activation repeatedly propagates into recovered tissue, rotating around a rod-like filament. Breakdown of a single re-entrant wave into multiple waves is believed to underlie the transition from ventricular tachycardia to ventricular fibrillation. Several mechanisms of breakup have been identified including the effect of anisotropic conduction in the ventricular wall. Cells in the inner and outer layers of the ventricular wall have different action potential durations (APD), and support re-entrant waves with different periods. The aim of this study was to use a computational approach to study twisting and breakdown in a transmural re-entrant wave spanning these regions, and examine the relative role of this effect and anisotropic conduction. We used a simplified model of action potential conduction in the ventricular wall that we modified so that it supported stable re-entry in an anisotropic model with uniform APD. We first examined the effect of regional differences on breakdown in an isotropic model with transmural differences in APD, and found that twisting of the re-entrant filament resulted in buckling and breakdown during the second cycle of re-entry. We found that breakdown was amplified in the anisotropic model, resulting in complex activation in the region of longest APD. This study shows that regional differences in cardiac electrophysiology are a potentially important mechanism for destabilizing re-entry and may act synergistically with other mechanisms to mediate the transition from ventricular tachycardia to ventricular fibrillation.
21 citations