ADVANCING CARDIAC ELECTROPHYSIOLOGICAL MODELS VIA FRACTIONAL CAPACITANCE-BASED APPROACHES

Abstract

This paper proposes modeling of canine cardiac action potential using fractional differential equations (FDE). The movement of ions across cardiac myocytes (heart muscle) generates a voltage signal which propagates along the body of the cell as action potential. The complex behavior of such physiological events can be understood by developing mathematical models that describe the biological phenomena. Typically, ordinary linear differential equations are used for constructing these mathematical models. In this paper we have shown that a non-integer order differential equation model can capture these events more precisely. Using FDE we are able to model cardiac action potential with a higher degree of accuracy compared to ordinary differential equations (ODE).