MATHEMATICAL MODELLING OF SOCIO-ECONOMIC PROCESSES AND SYSTEMS
Applicability of cable theory to study of action potential propagation in cardiac tissue
- 1 I. Vekua Institute of Applied Mathematics of Iv. Javakhishvili Tbilisi State University, Georgia
Abstract
Action potential propagation in cardiac tissue by using cable equations is studied. The work discusses a one-dimensional model of continuously coupled myocytes. Electrical behavior in cardiac tissue is averaged over many cells. Therefore, the transmembrane potential behavior for a single cell is studied. Using the monodomain model, in the absence of current at the beginning and end of the cable (cell), the initial-boundary problem is posed and solved analytically. The problem is solved by the method of separation of variables. Numerical modeling of transmembrane potential propagation is implemented. Transmembrane isopotential contours and graphs corresponding to the obtained numerical results are presented.
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References
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- Zirakashvili, N., Zirakashvili, T. Study of Action Potential Propagation in Cardiac Tissues Using Cable Theory. WSEAS TRANSACTIONS on BIOLOGY and BIOMEDICINE; 20, 2023, 228-239