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

Abstract

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.

16 pages, 6 figures, as accepted to Chaos 2017/09/01

References in corpus (2)

• Asymptotic properties of mathematical models of excitability
• A method of `speed coefficients' for biochemical model reduction applied to the NF-kappaB system

Cited by in corpus (1)

• Reduction of a kinetic model for Na+ channel activation, and fast and slow inactivation within a neural or cardiac membrane