Luo-Rudy models

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Cluster synchronization and spatio-temporal dynamics in networks of oscillatory and excitable Luo-Rudy cells.

We study collective phenomena in nonhomogeneous cardiac cell culture models, including one- and two-dimensional lattices of oscillatory cells and mixtures of oscillatory and excitable cells. Individual cell dynamics is described by a modified Luo-Rudy model with depolarizing current. We focus on the transition from incoherent behavior to global synchronization via cluster synchronization regime...

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Negative filament tension in the Luo-Rudy model of cardiac tissue.

Scroll waves are vortices that occur in three-dimensional excitable media. Scroll waves have been observed in a variety of systems including cardiac tissue, where they are associated with cardiac arrhythmias. The disorganization of scroll waves into chaotic behavior is thought to be the mechanism of ventricular fibrillation, which lethality is widely known. One of the possible mechanisms of scr...

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Ionic charge conservation and long-term steady state in the Luo-Rudy dynamic cell model.

It has been postulated that cardiac cell models accounting for changes in intracellular ion concentrations violate a conservation principle, and, as a result, computed parameters (e.g., ion concentrations and transmembrane potential, V(m)) drift in time, never attaining steady state. To address this issue, models have been proposed that invoke the charge conservation principle to calculate V(m)...

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Reentry in heterogeneous cardiac tissue described by the Luo-Rudy ventricular action potential model.

Heterogeneity of cardiac tissue is an important factor determining the initiation and dynamics of cardiac arrhythmias. In this paper, we studied the effects of gradients of electrophysiological heterogeneity on reentrant excitation patterns using computer simulations. We investigated the dynamics of spiral waves in a two-dimensional sheet of cardiac tissue described by the Luo-Rudy phase 1 (LR1...

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An Unconditionally Stable Second Order Method for the Luo-rudy 1 Model Used in Simulations of Defibrillation

Simulations of cardiac defibrillation are associated with considerable numerical challenges. The cell models have traditionally been discretized by first order explicit schemes, which are associated with severe stability issues. The sharp transition layers in the solution call for stable and efficient solvers. We propose a second order accurate numerical method for the Luo-Rudy phase 1 model of...

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ژورنال

عنوان ژورنال: Scholarpedia

سال: 2011

ISSN: 1941-6016

DOI: 10.4249/scholarpedia.6220