Mathematical modeling of the excitation process in myocardial tissue: influence of fiber rotation on wavefront propagation and potential field

Mathematical Biosciences

Volumn 101, Issue 2, 1990, Pages 155-235

  Colli Franzone, Piero ^a   Guerri, Luciano ^a   Tentoni, Stefania ^b  

^a UNIVERSITY OF PAVIA   (Italy)

^b CNR   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HEART EXCITATION; HEART MUSCLE FIBER MEMBRANE POTENTIAL; MATHEMATICAL MODEL; NONHUMAN; THEORETICAL STUDY;

ANIMAL; ELECTROPHYSIOLOGY; HEART CONDUCTION SYSTEM; HUMAN; MATHEMATICS; MODELS, CARDIOVASCULAR; SUPPORT, NON-U.S. GOV'T;

EID: 0025149742     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/0025-5564(90)90020-Y     Document Type: Article

References (105)

1. Potential fields on the ventricular surface of the exposed dog heart during normal excitation
2. Non linear diffusion in population genetics, combustion and nerve propagation
3. Multidimensional nonlinear diffusion arising in population genetics
4. Propagation of excitation in idealized anisotropic two dimensional tissue
5. The importance of fiber orientation in determining features of cardiac electric field
6. The effect of myocardial anisotropy on epicardial potential distribution in the dog heart in situ
7. The influence of myocardial anisotropy on tridimensional potential distribution generated by isolated dog hearts during epicardial stimulation
8. Spread of excitation in anisotropic syncitia
9. Sodium current in single rat heart muscle cells
10. Nonuniform epicardial activation and repolarization properties of the in vivo canine pulmonary conus
11. Perturbation analysis of approximation to Hodgkin-Huxley theory
12. Directional differences of impulse spread in trabecular muscle from mammalian heart
13. Mathematical developments in Hodgkin-Huxley theory and its approximation
14. Voltage clamp measurements of sodium channel properties in rabbit cardiac Purkinje fibres
15. Potential fields generated by oblique dipole layer modelling excitation wavefronts in the anisotropic myocardium Comparison with potential fields eli cited by paced dog hearts in a volume conductor
16. Cardiac fibers orientation and potential fields: model studies
17. Oblique dipole layer potentials applied to electrocardiology
18. Oblique dipole layer potentials for the direct and inverse problems of electrocardiology
19. Models studies of three-dimensional distribution of the electrical cardiac potential
20. Macroscopic cardiac sources model and propagation wave in excitable media
21. Wavefront propagation in an activation model of the anisotropic cardiac tissue: asymptotic analysis and numerical simulations
22. The canine heart as an electrocardiographic generator: dependence on cardiac cell orientation
23. The intercalated discs as a cause for discontinuous propagation in cardiac muscle: A theoretical simulation
24. A model of cardiac electrical activity incorporating ionic pumps and concentration changes
25. A comparison of the conduction velocity in cardiac tissues of various mammals
26. Fast sodium current in cardiac muscle
27. Singular perturbation and wavefront techniques in reaction-diffusion problems
28. Asymptotic analysis of reaction-diffusion wavefronts
29. Mathematical aspects of reacting and diffusing systems
30. The approach of solutions of nonlinear diffusion equations to travelling front solutions
31. Conduction of the action potential
32. Cellular electrophysiology
33. Transmural activations and stimulus potentials in three-dimensional anisotropic canine myocardium
34. A bidomain model for anisotropic cardiac muscle
35. The impact of adjacent isotropic fluids on electrograms from anisotropic cardiac muscle. A modeling study
36. Three-dimensional waves in excitable reaction-diffusion systems
37. Left ventricular fibre architecture in man
38. The geometry and motion of reaction-diffusion waves on closed two-dimensional manifolds
39. On the inverse problem of electrocardiology
40. Mechanism of the formation of closed pathways of conduction in excitable media
41. Effect of resistive discontinuities on waveshape and velocity in a single cardiac fiber
42. A quantitative description of membrane current and its application to conduction and excitation in nerve
43. Analytical models of propagation in excitable cells
44. Simulation of action potential propagation in an inhomogeneous sheet of coupled excitable cells
45. On the stabilization of solutions of the Cauchy problem for the equation arising in the theory of combustion
46. Waves in excitable media
47. A geometrical theory for spiral waves in excitable media
48. The closed form solution to the periodic core-conductor model using asymptotic analysis
49. On the numerical solution of the singular integral equations of potential theory
50. Simulation studies of the electrocardiogram. I. The normal heart
51. Electrical properties of anisotropic nerve-muscle syncytia. Distribution on the electronic potential
52. Spread of flat front of excitation
53. Steady form of the excitation front
54. The surprising heart: a review of recent progress in cardiac electrophysiology
55. Quantitative formulations of electrophysiological sources of potential fields in volume conductors
56. Current flow patterns in two-dimensional anisotropic bisyncytia with normal and extreme conductivities
57. Effect of microscopic and macroscopic discontinuities on the response of cardiac tissue to defibrillating (stimulating) currents
58. Mathematical modeling of electrical activity of the heart
59. Considerations of quasi-stationarity in electrophysiological systems
60. Electrocardiogram sources in a two-dimensional anisotropic activation model
61. Integration and propagation of neuroelectric signals
62. Reconstruction of propagated electrical activity with a two-dimensional model of anisotropic heart muscle
63. Effect of tissue anisotropy on extracellular potential fields in canine myocardium in situ
64. Influence of cardiac fiber orientation on wavefront voltage, conduction velocity and tissue resistivity in the dog
65. The electrical potential produced by a strand of cardiac muscle: a bidomain analysis
66. A bidomain model for the extracellular potential and magnetic field of cardiac tissue
67. A model study of the effects of the discrete cellular structure on electrical propagation in cardiac tissue
68. Resistivity of body tissue at low frequencies
69. Directional difference of condition velocity in the cardiac ventricular syncytium studies by microelectrodes
70. Cardiac depolarization and repolarization and the electrocardiogram
71. Biological informations processing using the concept of interpenetrating domains
72. Curvature and the evolution of fronts
73. Ultrastructure of cardiac muscle
74. The nature of electrical propagation in cardiac muscle
75. Relating the sodium current and conductance to shape of transmembrane and extracellular potentials by simulations. Effects of propagation boundaries
76. Extracellular potentials related to intracellular action potentials during impulse conduction in anisotropic canine muscle
77. The discontinuous nature of propagation in normal canine cardiac muscle. Evidence for recurrent discontinuities of intracellular resistance that affect membrane currents
78. Effect of intramural fiber direction on epicardial isochrone and potential maps (abstract)
79. Electrotonic interactions in a model of anisotropic cardiac tissue
80. Gross morphology and fiber geometry of the heart
81. Current and potential distribution around an isolated dog heart
82. Relationships between the current field surrounding an isolated dog heart and the potential distribution on the surface of the body
83. A method for separating the axial and transverse contribution of excitation wavefronts to the cardiac electric field
84. Computer simulation of arrhythmias in a network of coupled excitable elements
85. Electrical constants of trabecular muscle from mammalian heart
86. Analytical evaluation of the dependence of the speed of an excitation wave in a two-dimensional excitable medium on the curvature of its front
87. Role of the inhomogeneity of an excitable medium in the mechanism of self-sustained activity