Cole-Cole Mathematical Model Analysis on Impedance Spectrum in Rat Erythrocyte Suspension / 航天医学与医学工程

ABSTRACT

Objective To establish binomial equation Cole-Cole mathematical modeling methods and the parameters in rat erythrocyte impedance spectra,as well as to discuss the sources of the ? and the ? dispersion.Methods The impedance of erythrocyte suspension was measured with Agilent 4294A impedance analyzer within the frequency range of 0.01~100 MHz.The residual error of the fitting curve was determined with non-linear numerical calculation of Cole-Cole equation.Then the Cole-Cole mathematical model parameters of rat erythrocyte were established with the Bode and the Nyquist plots.Results The Cole-Cole mathematical model parameters of rat erythrocyte impedance spectrum: the high-frequency limit of impedance R∞=63/?cm,the 1st relaxation impedance increment ?R1=59/?cm,the 1st characteristic frequency fC1 =2.4 MHz,the 1st relaxation dispersion angle ?1=0.07,the 2nd relaxation impedance increment ?R2=48/?cm,the 2nd characteristic frequency fC2 =370 MHz,the 2nd relaxation dispersion angle ?2=0.22.Conclusion The ? and ? relaxation behavior of rat erythrocyte impedance spectrum can be expressed with the two-type Cole-Cole mathematical model.The ? dispersion is formed from the capacitive response of cell membrane and the ? dispersion from frequency response of intracellular hemoglobin.