Dynamics of the human cell model

Abstract

The heart is a complex organ on its continuous work is dependending life of every human. It is a hollow muscular organ whose mechanical work is controlled by electrical signals. These signals are produced by the heart itself and are propagated at different speeds at its individual parts. Violations of this system can lead to life threatening states. It is therefore very important to describe this system in detail, examine its changes and the effects of these changes on the function of heart. In this work, improved Fenton-Karma model is used for approximation cardiac muscle cell. This model is stimulated on various stimulation frequencies and amplitudes. Responses of this model are studied from the dynamical point of view using phase portraits, the Fourier spectra, Poincaré section, bifurcation diagram and the 0-1 test for chaos.