Fast-slow asymptotics for a Markov chain model of fast sodium current

Tomáš Starý, Vadim N. Biktashev,

Submitted to Chaos: 2017/03/14. Accepted: 2017/09/01. Published 2017/09/21 as Chaos 27: 093937, 2017.

We explore the feasibility of using fast-slow asymptotic to eliminate the computational stiffness of the discrete-state, continuous-time deterministic Markov chain models of ionic channels underlying cardiac excitability. We focus on a Markov chain model of the fast sodium current, and investigate its asymptotic behaviour with respect to small parameters identified in different ways.

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