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Critical fronts in initiation of excitation waves

I. Idris·V. N. Biktashev
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Abstract

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.

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I. Idris, V. N. Biktashev. 2007-06-13. Critical fronts in initiation of excitation waves. https://doi.org/10.1103/physreve.76.021906

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