Fractional order Cole model of bioimpedance of the human skin: new results

Abstract

In this paper, electrical impedance measurement data and fractional calculus have been utilized for modeling bioimpedance properties of human skin. In relation to our experimental in vivo conditions, structure and complexity of the human skin, we suggested that bio-electrical behavior of the human skin can be described by the series layer Cole model based on modif ied fractional distributed-order based on the Caputo-Weyl fractional derivatives. The equivalent total impedance Zc(w) of this new electric circuit is given by the next equation. The impedance spectrum was measured in a nite frequency range up to 100kHz. Our proposed modi ed Cole model much better t to experimentally curve in given frequency range in compare to existing Cole models. The tting is done using Levenberg-Marquardt nonlinear least squares.