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Mathematical Modeling of Biological Systems, Volume II pp 289–302Cite as

An Analytically Solvable Asymptotic Model of Atrial Excitability

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Summary

We 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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, UK

    Radostin D. Simitev

  2. Applied Mathematics, Department of Mathematical Sciences, The University of Liverpool, Liverpool, L69 7ZL, UK

    Vadim N. Biktashev

Authors
  1. Radostin D. Simitev
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  2. Vadim N. Biktashev
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Editor information

Editors and Affiliations

  1. Center for Information Services and High Performance Computing, Technische Universität Dresden, 01062 Dresden, Germany

    Andreas Deutsch

  2. Departamento de Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, Spain

    Rafael Bravo de la Parra

  3. Department of Theoretical Biology, Utrecht University, Padualaan 8, 3584 CD Utrecht, The Netherlands

    Rob J. de Boer

  4. Mathematisch Instituut, Utrecht University, Budapestlaan 6, 3584 CH Utrecht, The Netherlands

    Odo Diekmann

  5. Mathematical Sciences, Chalmers University of Technology, Göteborg University, 412 96 Göteborg, Sweden

    Peter Jagers

  6. Department of Mathematics and Statistics, University of Helsinki, Gustaf Hällströmin katu 2b, 00014 Helsinki, Finland

    Eva Kisdi

  7. Fakultät für Gesundheitswissenschaften, Universität Bielefeld, Universitätsstr. 25, 33615 Bielefeld, Germany

    Mirjam Kretzschmar

  8. Institute of Physiology, Academy of Sciences of the Czech Republic, Videnska 1083, 142 20 Prague 4, Czech Republic

    Petr Lansky

  9. Section Theoretical Evolutionary Biology, Institute of Evolutionary and Ecological Sciences, Rijksuniversiteit Leiden, Kaiserstraat 63, 2311 GP Leiden, The Netherlands

    Hans Metz

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Simitev, R.D., Biktashev, V.N. (2008). An Analytically Solvable Asymptotic Model of Atrial Excitability. In: Deutsch, A., et al. Mathematical Modeling of Biological Systems, Volume II. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4556-4_26

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