English

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

Pattern Formation and Solitons 2017-09-26 v3

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.

Keywords

Cite

@article{arxiv.1703.09418,
  title  = {Fast-slow asymptotics for a Markov chain model of fast sodium current},
  author = {T. Stary and V. N. Biktashev},
  journal= {arXiv preprint arXiv:1703.09418},
  year   = {2017}
}

Comments

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