Cardiac electric signals formation modeling

Cardiac electric signals formation modeling

D. E. Melnikov, D. E. Aznakayeva, E. G. Aznakayev



Mathematical modeling method of cardiac electric signals formation in linear and nonlinearformulation is proposed. Mathematical model proposed in paper is quite similar to the initial real object.The processes of electric potentials creation in myocardium cells, namely cardiomyocytes, areinvestigated. The dynamic characteristics of this system are considered. Numerical modeling of cardiacelectric signals formation is provided


Mathematical modeling; cardiomyocyte; heart; myocardium; cell; differential equation


Dana, S. K.; Roy, P. K.; Kurths, J. (Eds.), Comlex Dynamics of Physiological Systems: From Heart to Brain, Springer Sciense, 2009.

Quarteroni, A.; Formaggia, L.; Veneziani A. (Eds.), Complex Systems in Biomedicine, Milano, Springer-Verlag, 2006.

Opie, L. H. Heart Physiology: From Cell to Circulation. 4th ed., Philadelphia, Lippincott: Williams&Wilkins, 2004.

Aznakayev, E. G. Biophysics. Text–book, Kyiv, National Aviation University, 2005.

Aznakayev, E. G.; Melnikov, D. E. “Nonlinear Model Investigation for Biological Systems”, Electronics and Control Systems, no. 7, pp. 45–50, 2007.

Bokrinskaya, A. A.; Melnikov, D. E. “Electrical Circuit with Ferroelectric Capacitor Modeling”, Radioelectronics. News from Universities, vol. 43, no. 7, pp. 57–62, 2000.

Yabluchanski, N. I.; Vakulenko, I. P. Interpretation in Clinical Physiology of Heart, Kharkov, 2002.

Bokrinskaya, A. A. and Melnikov D. E. “Nonlinear Oscillations in Series Electrical Circuit with Ferroelectric Capacitor”, Radioelectronics. News from Universities, vol. 44, no. 8, pp. 41–45, 2001.