Recently, pinched hysteresis has been found in the electrical modelling of regular plant tissues. Usually, the biological tissues are characterized in the frequency domain using bio-impedance analyzers without investigating the time domain, which would show the pinched hysteresis. In this paper, the current-voltage analysis of some of the widely known electrical bio-impedance models is studied. The investigated models are the single dispersion Cole-impedance model, the double dispersion Cole-impedance model and the fractional-order simplified Hayden model to prove that these models can not exhibit pinched hysteresis. It is proved mathematically in this paper that there are no pinch-off points that would exist in these models. These results are verified with numerical simulations of three different plants: tomato, carrot and banana, concluding that the bioimpedance modelling needs a nonlinear element to model the pinched hysteresis in the current-voltage behaviour of these tissues. © 2020 IEEE.
Abdelrahman D.K., Mohammed R., Fouda M.E., Said L.A., Radwan A.G.
Bio-impedance; Cole-impedance model; Fractional-order circuits; pinched hysteresis
Midwest Symposium on Circuits and Systems, Vol. 2020-August, Art. No. 9184665, PP. 1016 to 1019, Doi: 10.1109/MWSCAS48704.2020.9184665