چكيده به لاتين
Abstract
Aberrance occurrence in ionic channels is one of the major causes of many diseases. Instability and oscillation of gating mechanisms are examples of ionic channels behavioral aberrance. Several researchers have studied the effect of channel conductance and inverse potential on cell model stability, while oscillation in channels gating can cause model instability. For this reason and because of the known effect of drugs on gating behavior, our objective is to analysis the model stability through effective parameters in gating behavior. In this study, first we consider a minimal model with three state variables for simulating ventricular action potential. Then we proposed a mathematical method by using hopf bifurcation theorem for stability analysis. The results show that model behavior change in each bifurcation point and show up instability that support this theorem. Finally we presented a method to simulate EAD and DAD phenomena. Studying and controlling the arrhythmias of abnormal automatic oscillations is an important application of this research.
Keywords: Cardiac arrhythmias, stability analysis, Hopf bifurcation, Abnormal automatic oscillations, EAD, DAD.
