Fractional order modeling of diffusion processes: A new approach for glucose concentration estimation

This paper presents the application of fractional calculus tools, i.e. fractional order impedance and Cole-Cole elements to detect, measure and estimate glucose concentrations by means of electrochemistry. Fractional calculus can provide a concise model for the description of the dynamic events that occur in biological tissues. The concepts of fractional calculus has been successfully applied in physics, chemistry and material science, electrodes and viscolelastic materials over extended ranges of time and frequency. In this paper, the fractional order impedance model is presented and compared with the measured impedance. The model parameters are related to various physical conditions of the test-cells and a baseline measurements along with blind evaluation are presented. The results indicate that the proposed model is valid in a limited range of frequencies and generalization for higher order models is possible.