Analytically Solvable Asymptotic Model of Atrial Excitability

Details Analytically Solvable Asymptotic Model of Atrial Excitability Analytically Solvable Asymptotic Model of Atrial Excitability

2009-05-25

arxiv.org/abs/0905.4042v1

"Mathematical Modeling of Biological Systems", Vol 2, Birkhaeuser, Boston, pp. 289-302, 2008

Biology

Quantitative Biology

Quantitative Methods

Scientific paper

10.1007/978-0-8176-4556-4_26

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.

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