English

Analytically Solvable Asymptotic Model of Atrial Excitability

Quantitative Methods 2009-05-26 v1 Tissues and Organs

Abstract

We report a three-variable simplified model of excitation fronts in human atrial tissue. The model is derived by novel asymptotic techniques \new{from the biophysically realistic model of Courtemanche et al (1998) in extension of our previous similar models. An iterative analytical solution of the model is presented which is in excellent quantitative agreement with the realistic model. It opens new possibilities for analytical studies as well as for efficient numerical simulation of this and other cardiac models of similar structure.

Cite

@article{arxiv.0905.4042,
  title  = {Analytically Solvable Asymptotic Model of Atrial Excitability},
  author = {R. D. Simitev and V. N. Biktashev},
  journal= {arXiv preprint arXiv:0905.4042},
  year   = {2009}
}
R2 v1 2026-06-21T13:05:44.190Z