A reduced model for a single cardiac cell

The leading cause of sudden cardiac death is due to ventricular fibrillation (VF). VF is a heart rhythm disease that occurs from irregular dynamics behavior-discordant alternas. Therefore, it is vital to investigate the dynamics of a cardiac cell. In the past, typical mathematical models for dynamics of a cardiac cell involve intricate interplay between the membrane potential, ion channels, calcium cycling, etc, which would reproduce realistic responses such as cardiac alternas. Although above-mentioned models can reproduce genuine dynamics of a cardiac cell, they are generally complicated to analyze due to their high dimensional phase space. Hence, we propose a reduced model derived from an existing cardiac ionic model, and show that this three-variable dynamical system exhibits similar bifurcation diagram as that of the ionic model. The dynamical response and bifurcation behavior of a cardiac cell are investigated with the proposed reduced model.