An Analytically Solvable Asymptotic Model of Atrial Excitability

2007/10/11 by Radostin D. Simitev, R. D. Simitev, V. N. Biktashev · 1 citation
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Applied mathematics #Cardiac electrophysiology and arrhythmias #Cardiomyopathy and Myosin Studies #Cardiovascular Function and Risk Factors #Computer science #Excitation #Extension (predicate logic) #Mathematical analysis #Mathematics #Physics #Statistical physics #Variable (mathematics) #q-bio.QM #q-bio.TO

paper · pdf · doi:10.1007/978-0-8176-4556-4_26

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

openalex publication_date 2007/10/11 · arxiv created 2009/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

SummaryWe report a three-variable simplified model of excitation fronts in human atrial tissue. The model is derived by novel asymptotic techniques from the biophysically realistic model of Courtemanche et al. [11] in an 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.

Citations

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