Courtemanche M, Skaggs W, Winfree AT. Stable three-dimensional action potential circulation in the Fitzhugh-Nagumo model. Physica D 1990;41:173--182. Home/Search Document Not in Database Summary Related Articles Check |
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A Simple Two-Variable Model of Cardiac Excitation - Rubin Aliev (1996) (5 citations) (Correct)
....of cardiac tissue. To avoid computational difficulties researchers often use other models of cardiac tissue, especially the two variable FitzHugh Nagumo (FHN) models [9, 10] These models permit analytical estimations and are numerically effective for studying 2D and 3D pulse dynamics in the heart [11, 12, 13, 14]. Although successfully describing qualitative aspects of excitation propagation, they fail to simulate several quantitative parameters of cardiac tissue such as the shape of the action potential and restitution properties of the tissue. Restitution of cardiac tissue shows how duration of action ....
M. Courtemanche, W. Skaggs, and A. T. Winfree. Stable three - dimensional action potential circulation in the fitzhugh - nagumo model. Physica D, 41:173--183, 1990.
Third Generation Cellular Automaton for Modeling Excitable.. - Weimar, Tyson, Watson (1992) (1 citation) (Correct)
....waves of membrane depolarization in nerve axons. Some simple models, consisting of a pair of partial differential equations, have become popular representations of excitable media, e.g. the Oregonator model [3, 10,15] of the Belousov Zhabotinskii reaction [20,22] and the FitzHugh Nagumo model [1, 4] of neuromuscular membranes. But the earliest model (1946) of excitable media was a This work was supported in part by National Science Foundation Grant DMS 8810456 and Department of Energy Grant DE FG05 88ER25068. A preliminary version of this paper was presented at the Fifth SIAM Conference on ....
M. Courtemanche, W. Skaggs & A. T. Winfree, "Stable three-dimensional action potential circulation in the FitzHugh-Nagumo model," Phys. D 41 (1990), 173--182.
Third Generation Cellular Automaton for Modeling Excitable.. - Weimar, Tyson, Watson (1992) (1 citation) (Correct)
.... partial differential equation models of the form (1) u t = fflr 2 u 1 ffl f(u; v) v t = g(u; v) have become popular representations of excitable media, e.g. the Oregonator model [3] 10] 15] of the Belousov Zhabotinskii reaction [18] 19] and the FitzHugh Nagumo model [1], 4] of neuromuscular membranes. But the earliest model (1946) of excitable media was a cellular automaton introduced by Wiener and Rosenblueth [17] The cellular automaton approach was pursued later by Moe at al. 14] Greenberg and Hastings [8] 9] and others. These first generation models ....
M. COURTEMANCHE, W. SKAGGS AND A. T. WINFREE, Stable three-dimensional action potential circulation in the FitzHugh-Nagumo model, Phys. D, 41 (1990), pp. 173--182.
Efficient Simulation of Action Potential Propagation in a Bidomain - Hooke (1992) (1 citation) (Correct)
....general format is described in Section 2.5, can substantially increase the computational complexity of a numerical solution to the bidomain equations. The resulting bidomain equations are of the reaction diffusion type[74] A variant of the membrane based approach uses the FitzHugh Nagumo model[21, 34] to describe I m . Although this model resembles a simple membrane mathematically, its origin is purely empirical and thus is considered in a separate category. It has mainly been used in mathematical investigations of large scale propagation phenomena such as rotors[21, 130] An alternate ....
....FitzHugh Nagumo model[21, 34] to describe I m . Although this model resembles a simple membrane mathematically, its origin is purely empirical and thus is considered in a separate category. It has mainly been used in mathematical investigations of large scale propagation phenomena such as rotors[21, 130]. An alternate approach[19, 53] is to eliminate the slower modes from the differential system via a singular perturbation argument, yielding eikonal equations that describe only the position of the depolarizing front of the propagating action potential. These equations may be solved to obtain the ....
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M. Courtemanche, W. Skaggs, and A.T. Winfree. Stable three-dimensional action potential circulation in the FitzHugh-Nagumo model. Physica D, 41:173--182, 1990.
The Role of Nonlinear Dynamics in Cardiac Arrhythmia.. - Christini, Stein.. (1999) (Correct)
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Courtemanche M, Skaggs W, Winfree AT. Stable three-dimensional action potential circulation in the Fitzhugh-Nagumo model. Physica D 1990;41:173--182.
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