Critical fronts in initiation of excitation waves
Copyright policy )Critical fronts in initiation of excitation waves
We consider the problem of initiation of propagating wave in a one-dimensional excitable fiber. In the FitzHugh-Nagumo theory, the key role is played by ``critical nucleus'' and ``critical pulse'' solutions whose (center-)stable manifold is the threshold surface separating initial conditions leading to propagation and those leading to decay. We present evidence that in cardiac excitation models, this role is played by ``critical front'' solutions.
Six pages, five figures. This is the version that was resubmitted to Phys Rev E on June 13, 2007
- University of Liverpool United Kingdom
- University of Exeter United Kingdom
Models, Statistical, Time Factors, Biophysics, Models, Cardiovascular, FOS: Physical sciences, Heart, Pattern Formation and Solitons (nlin.PS), Models, Theoretical, 530, Nonlinear Sciences - Pattern Formation and Solitons, Models, Biological, Myocardial Contraction, Heart Conduction System, Animals, Thermodynamics, Computer Simulation, Algorithms
Models, Statistical, Time Factors, Biophysics, Models, Cardiovascular, FOS: Physical sciences, Heart, Pattern Formation and Solitons (nlin.PS), Models, Theoretical, 530, Nonlinear Sciences - Pattern Formation and Solitons, Models, Biological, Myocardial Contraction, Heart Conduction System, Animals, Thermodynamics, Computer Simulation, Algorithms
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