Extraction of Cardiac Cell Membrane Fractional-Order Capacitance from Current Response to Voltage Step

Abstract

The aim of the article is to examine the possibilities of modeling electrical properties of cardiac cell membrane using the Cole impedance model containing a fractional-order capacitor. A method is presented to determine the parameters of the model based on the current transient response to a voltage step applied to the membrane. The method is based on the numerical minimization of the least squares error between the recorded and calculated transient response of the model using the MATLAB function fminsearch. The use of a fractional-order capacitor in the membrane model is found to result in a reduction in the modeling error compared to that of the classic capacitor.