Impedance spectroscopy of human erythrocytes: system calibration, and nonlinear modeling

The authors present an impedance measurement method, the cell embedding technique, for human erythrocytes, and an accurate calibration procedure for a four-electrode impedance measurement system that gives reliable results over a wide frequency range-1 Hz to 10 MHz. To achieve high sensitivity, the cells are embedded in the pores of a Nuclepore filter. The calibration procedure assumes that the measurement system is linear and require measurement of three reference impedances. The reliability of the procedure is demonstrated with various RC circuits. Its application to the bio-impedance measurement system eliminates a quasi-dispersion in the high-frequency range and increases the bandwidth at both the low- and high-frequency ends of the range by about a decade. The experimental data are fitted to, an equivalent circuit model of the impedance of the embedded cells. The impedance spectra display constant-phase-angle (CPA) characteristics, which are used to describe the AC response of the interface between the cell surface, and the external electrolyte solution. Such a CPA element may be related to fractal character of the interface.