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FIMH
2005
Springer

Dissipation of Excitation Fronts as a Mechanism of Conduction Block in Re-entrant Waves

14 years 4 months ago
Dissipation of Excitation Fronts as a Mechanism of Conduction Block in Re-entrant Waves
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 those. Contrary to a common belief, the fast Na current inactivation gate h is not necessarily much slower than the transmembrane voltage E during the upstroke of the action potential. Interplay between E and h is responsible for the DEF. A new simplified model emerges from the asymptotic analysis and considers E and h as equally fast variables. This model reproduces DEF and admits analytical study. In particular, it yields conditions for the DEF. Predictions of the model agree with the results of direct numerical simulations of spiral wave break-up in a detailed model.
Vadim N. Biktashev, Irina V. Biktasheva
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where FIMH
Authors Vadim N. Biktashev, Irina V. Biktasheva
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