Critical fronts in initiation of excitation waves
Biktashev, V. N.
Physical Review E - Statistical, Nonlinear and Soft Matter Physics
American Physical Society
We consider the problem of initiation of propagating waves 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.
Copyright © 2007 The American Physical Society
Vol. 76 (2), article 021906
Place of publication