Mathematical model of the av nodal double response tachycardia and double-fire pathology

A proposed model consisting of two coupled models (Hodgkin-Huxley model and Yanighara-Noma-Irisawa model) is considered as a description of the heart’s action potential. System of ordinary differential equations is used to recreate pathological behaviour in the conducting heart’s system such as rare arrhythmia, called double fire and the most common tachycardia AVNRT. We introduce to our system three types of couplings (bidirectional couplings, unidirectional couplings and feedbacks) and delay in order to reproduce the different types of AVNRT.