Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotation on wavefront propagation and potential field.
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[1] Bradley J. Roth,et al. A Bidomain Model for the Extracellular Potential and Magnetic Field of Cardiac Tissue , 1986, IEEE Transactions on Biomedical Engineering.
[2] M. Kline,et al. Electromagnetic theory and geometrical optics , 1965 .
[3] A. L. Muler,et al. [Electrical properties of anisotropic neuromuscular syncytia. II. Distribution of a flat front of excitation]. , 1977, Biofizika.
[4] M H DRAPER,et al. A comparison of the conduction velocity in cardiac tissues of various mammals. , 1959, Quarterly journal of experimental physiology and cognate medical sciences.
[5] A. T. Winfree,et al. Simulation of Wave Processes in Excitable Media , 1988 .
[6] R C Barr,et al. Mathematical modeling of electrical activity of the heart. , 1987, Journal of electrocardiology.
[7] James P. Keener,et al. Waves in Excitable Media , 1980 .
[8] A. M. Scher,et al. Effect of Tissue Anisotropy on Extracellular Potential Fields in Canine Myocardium in Situ , 1982, Circulation research.
[9] Darning Wei,et al. Computer simulator of electrocardiographic process , 1988, Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society.
[10] W. Krassowska,et al. The Closed Forn Solution to the Periodic Core-Conductor Model Using Asymptotic Analysis , 1987, IEEE Transactions on Biomedical Engineering.
[11] D DiFrancesco,et al. A model of cardiac electrical activity incorporating ionic pumps and concentration changes. , 1985, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.
[12] S. Mukherjee,et al. Boundary element techniques: Theory and applications in engineering , 1984 .
[13] D. Geselowitz,et al. Simulation Studies of the Electrocardiogram: I. The Normal Heart , 1978, Circulation research.
[14] Yoram Rudy,et al. A model study of the effects of the discrete cellular structure on electrical propagation in cardiac tissue. , 1987 .
[15] P. C. Franzone,et al. Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations , 1990, Journal of mathematical biology.
[16] Effects of acute changes in left ventricular size on surface potential in man. , 1982, Japanese heart journal.
[17] A. L. Muler,et al. Electrical properties of anisotropic neuromuscular syncytia. I. Distribution of electrotonic potential (Russian) , 1977 .
[18] W. P. Timlake,et al. The numerical solution of singular integral equations of potential theory , 1968 .
[19] Markin Vs,et al. Electrical properties of anisotropic neuromuscular syncytia. III. Steady state of the front of excitation , 1977 .
[20] D Durrer,et al. Computer Simulation of Arrhythmias in a Network of Coupled Excitable Elements , 1980, Circulation research.
[21] L. Clerc. Directional differences of impulse spread in trabecular muscle from mammalian heart. , 1976, The Journal of physiology.
[22] T. Denton,et al. Comprehensive electrocardiology : theory and practice in health and disease , 1990 .
[23] F A Roberge,et al. Reconstruction of Propagated Electrical Activity with a Two‐Dimensional Model of Anisotropic Heart Muscle , 1986, Circulation research.
[24] R C Barr,et al. Extracellular Potentials Related to Intracellular Action Potentials during Impulse Conduction in Anisotropic Canine Cardiac Muscle , 1979, Circulation research.
[25] R. Barr,et al. Propagation of excitation in idealized anisotropic two-dimensional tissue. , 1984, Biophysical journal.
[26] R. Barr,et al. Current flow patterns in two-dimensional anisotropic bisyncytia with normal and extreme conductivities. , 1984, Biophysical journal.
[27] T. Sano,et al. Directional Difference of Conduction Velocity in the Cardiac Ventricular Syncytium Studied by Microelectrodes , 1959, Circulation research.
[28] G. Whitham,et al. Linear and Nonlinear Waves , 1976 .
[29] Otto H. Schmitt,et al. Biological Information Processing Using the Concept of Interpenetrating Domains , 1969 .
[30] M. A. Jaswon,et al. Integral equation methods in potential theory and elastostatics , 1977 .
[31] D. Aronson,et al. Multidimensional nonlinear di u-sion arising in population genetics , 1978 .
[32] Dd. Streeter,et al. Gross morphology and fiber geometry of the heart , 1979 .
[33] S. Rush,et al. Resistivity of Body Tissues at Low Frequencies , 1963, Circulation research.
[34] D. Noble,et al. The surprising heart: a review of recent progress in cardiac electrophysiology. , 1984, The Journal of physiology.
[35] J. Sethian. Curvature and the evolution of fronts , 1985 .
[36] L. Guerri,et al. Oblique dipole layer potentials applied to electrocardiology , 1983, Journal of mathematical biology.
[37] Zykov Vs,et al. [Role of the heterogeneity of the excitable milieu in mechanisms of self-sustaining activity]. , 1977 .
[38] P. Wolf,et al. Transmural activations and stimulus potentials in three-dimensional anisotropic canine myocardium. , 1988, Circulation research.
[39] A. Hodgkin,et al. A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.
[40] M. Spach,et al. The nature of electrical propagation in cardiac muscle. , 1983, The American journal of physiology.
[41] J. Keener. A geometrical theory for spiral waves in excitable media , 1986 .
[42] B. Taccardi,et al. Potential Fields on the Ventricular Surface of the Exposed Dog Heart during Normal Excitation , 1983, Circulation research.
[43] L. Guerri,et al. Oblique double layer potentials for the direct and inverse problems of electrocardiology , 1984 .
[44] P. Grindrod,et al. Three-dimensional waves in excitable reaction-diffusion systems , 1987 .
[45] John Rinzel. Integration and propagation of neuroelectric signals , 1978 .
[46] Peter Grindrod,et al. The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds , 1987, Journal of mathematical biology.
[47] B. Taccardi,et al. Potential Fields Generated by Oblique Dipole Layers Modeling Excitation Wavefronts in the Anisotropic Myocardium: Comparison with Potential Fields Elicited by Paced Dog Hearts in a Volume Conductor , 1982, Circulation research.
[48] E. Johnson,et al. Fast sodium current in cardiac muscle. A quantitative description. , 1980, Biophysical journal.
[49] Gul'ko Fb,et al. Mechanism of formation of closed propagation pathways in excitable media , 1972 .
[50] Charles S. Peskin,et al. Mathematical aspects of heart physiology , 1975 .
[51] S. Weidmann. Electrical constants of trabecular muscle from mammalian heart , 1970, The Journal of physiology.
[52] J. Jack,et al. Electric current flow in excitable cells , 1975 .
[53] Ronald W. Joyner,et al. Simulation of Action Potential Propagation in an Inhomogeneous Sheet of Coupled Excitable Cells , 1975, Circulation research.
[54] Carlos Alberto Brebbia,et al. The Boundary Element Method for Engineers , 1978 .
[55] T Powell,et al. Sodium current in single rat heart muscle cells. , 1981, The Journal of physiology.
[56] Hanno Rund,et al. The Hamilton-Jacobi theory in the calculus of variations : its role in mathematics and physics , 1967 .
[57] J. McLeod,et al. The approach of solutions of nonlinear diffusion equations to travelling front solutions , 1977 .
[58] M. Spach,et al. Relating the Sodium Current and Conductance to the Shape of Transmembrane and Extracellular Potentials by Simulation: Effects of Propagation Boundaries , 1985, IEEE Transactions on Biomedical Engineering.
[59] D. B. Heppner,et al. Considerations of quasi-stationarity in electrophysiological systems. , 1967, The Bulletin of mathematical biophysics.
[60] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[61] Vladimir Igorevich Arnold,et al. Geometrical Methods in the Theory of Ordinary Differential Equations , 1983 .
[62] P. Fife. Asymptotic analysis of reaction-diffusion wave fronts , 1977 .
[63] A E Becker,et al. Left ventricular fibre architecture in man. , 1981, British heart journal.
[64] P. Morse,et al. Methods of theoretical physics , 1955 .
[65] P R Ershler,et al. Nonuniform Epicardial Activation and Repolarization Properties of in Vivo Canine Pulmonary Conus , 1988, Circulation research.
[66] R. G. Casten,et al. Perturbation analysis of an approximation to the Hodgkin-Huxley theory , 1975 .
[67] E Macchi,et al. Relationships between the current field surrounding an isolated dog heart and the potential distribution on the surface of the body. , 1976, Advances in cardiology.
[68] P J Hunter,et al. Analytical models of propagation in excitable cells. , 1975, Progress in biophysics and molecular biology.
[69] Paul C. Fife,et al. Mathematical Aspects of Reacting and Diffusing Systems , 1979 .
[70] L. V. Corbin,et al. The canine heart as an electrocardiographic generator. Dependence on cardiac cell orientation. , 1977, Circulation research.
[71] T. Musha,et al. Evaluation of the rotating anisotropy of the ventricular myocardium: a simulation study , 1989, Images of the Twenty-First Century. Proceedings of the Annual International Engineering in Medicine and Biology Society,.
[72] R C Barr,et al. The Impact of Adjacent Isotropic Fluids on Electrograms from Anisotropic Cardiac Muscle: A Modeling Study , 1982, Circulation research.
[73] Robert Plonsey,et al. Quantitative Formulations of Electrophysiological Sources of Potential Fields in Volume Conductors , 1984, IEEE Transactions on Biomedical Engineering.
[74] A. M. Scher,et al. Influence of Cardiac Fiber Orientation on Wavefront Voltage, Conduction Velocity, and Tissue Resistivity in the Dog , 1979, Circulation research.
[75] T. Colatsky,et al. Voltage clamp measurements of sodium channel properties in rabbit cardiac Purkinje fibres. , 1980, The Journal of physiology.
[76] D. Geselowitz,et al. The Discontinuous Nature of Propagation in Normal Canine Cardiac Muscle: Evidence for Recurrent Discontinuities of Intracellular Resistance that Affect the Membrane Currents , 1981, Circulation research.
[77] Zykov Vs. [Analytic evaluation of the relationship between the speed of a wave of excitation in a two-dimensional excitable medium and the curvature of its front]. , 1980 .