Electric Activity Model of Cardiac Cells
Keywords:cardiac cells, action potential, ionic channel, electro physiologic models
In order to simulate the guinea pig ventricular action potential we used the mathematical model developed by Luo and Rudy. This model contains 22 ionic channels represented by non linear differential equations. The mathematical models give us a tool to demonstrate through the simulation, how the (Basic Cycle Length) BCL changes the normal value of BCL changes the normal value of Vmax & and the Action Potential Action Potential duration (APD).
W. C. Cole, C. D. McPherson, D. Sontag. “ATP-regulated K+ channels protect the myocardium against ischemia/reperfusion damage”. Circ. Res. Vol 69. 1991. pp 571-581.
O. P. Hamill, A. Marty, E. Neher, B. Sakmann, F. J. Sigworth. “Improved patch-clamp techniques for high-resolution current recording from cells and cell-free membrane patches.” Pflugers Arch. Vol 391. 1981. pp. 85-100.
A. L. Hodgkin, A. F. Huxley. “A quantitative description of membrane current and its application to conduction and excitation in nerve”. J. Physiol. Vol 117. 1952. pp. 500-544.
C. H. Luo, Y. Rudy. “A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes”. Circ. Res. Vol. 74. 1994. pp. 1071-1096.
L. Ebihara, E. A. Johnson. “Fast sodium current in cardiac muscle. A quantitative description”. Biophys J. Vol 32. 1980. pp. 779-790.
H. Reuter, H. Scholz. “The regulation of the calcium conductance of cardiac muscle by adrenaline”. J. Physiol. Vol 264. 1977. pp. 49-62.
G. W. Beeler, H. Reuter. “Reconstruction of the action potential of ventricular myocardial fibres”. J. Physiol. Vol. 268. 1977. pp. 177-210.
M. C. Sanguinetti, N. K. Jurkiewicz. “Two components of cardiac delayed rectifier K+ current. Differential sensitivity to block by class III antiarrhythmic agents”. J. Gen. Physiol. Vol. 96. 1990. pp. 195-215.
D. T. Yue, E. Marban. “A novel cardiac potassium channel that is active and conductive at depolarized potentials.” Pflugers Arch. Vol. 413. 1988. pp. 127-133.
T. Ehara, A. Noma, K. Ono. “Calcium-activated non-selective cation channel in ventricular cells isolated from adult guinea-pig hearts”. J. Physiol. Vol. 403. 1988. pp. 117-133.
A. Noma. “ATP-regulated K+ channels in cardiac muscle”. Nature. Vol. 305. 1983. pp. 147-148.
J. R. Sommer, R. A. Waugh. “Ultrastructure of heart muscle”. Environ. Health Perspect. Vol 26. 1978. pp. 159-167.
A. G. Kleber, Y. Rudy. Basic mechanisms of cardiac impulse propagation and associated arrhythmias”. Physiol. Vol 84. 2004. pp. 431-488.
L. J. Leon, F. A. Roberge. “Directional characteristics of action potential propagation in cardiac muscle. A model study”. Circ. Res. Vol. 69. 1991. pp. 378-395.
R. M. Shaw, Y. Rudy. “Ionic mechanisms of propagation in cardiac tissue. Roles of the sodium and L-type calcium currents during reduced excitability and decreased gap junction coupling”. Circ. Res. Vol. 81. 1997. pp. 727-741.
C. H. Luo, Y. Rudy. “A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction”. Circ. Res. Vol 68. 1991. pp. 1501-1526.
C. H. Luo, Y. Rudy. “A dynamic model of the cardiac ventricular action potential. II. Afterdepolarizations, triggered activity, and potentiation”. Circ. Res. Vol. 74. 1994. pp. 1097-1113.
J. Zeng, K. R. Laurita, D. S. Rosenbaum, Y. Rudy. “Two components of the delayed rectifier K+ current in ventricular myocytes of the guinea pig type. Theoretical formulation and their role in repolarization”. Circ. Res. Vol. 77. 1995. pp. 140-152.
J. M. Ferrero, J. Saiz, J. M. Ferrero, N. V. Thakor. “Simulation of action potentials from metabolically impaired cardiac myocytes. Role of ATP-sensitive K+ current”. Circ. Res. Vol. 79. 1996. pp. 208-221.
C. S. Henriquez, R. Plonsey. “Simulation of propagation along a cylindrical bundle of cardiac tissue I: mathematical formulation”. IEEE Trans. Biomed Eng. Vol. 37. 1987. pp. 850-860.
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