Critical fronts in initiation of excitation waves
نویسندگان
چکیده
منابع مشابه
Critical fronts in initiation of excitation waves.
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, ...
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The thesis considers analytical approaches to the problem of initiation of excitation waves. An excitation wave is a threshold phenomenon. If the initial perturbation is below the threshold, it decays; if it is large enough, it triggers propagation of a wave, and then the parameters of the generated wave do not depend on the details of the initial conditions. The problem of initiation of excita...
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Numerical simulations of re-entrant waves in detailed ionic models reveal a phenomenon that is impossible in traditional simplified mathematical models of FitzHugh-Nagumo type: dissipation of the excitation front (DEF). We have analysed the structure of three selected ionic models, identified the small parameters that appear in non-standard ways, and developed an asymptotic approach based on th...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.76.021906