An analytic equation for single cell electrochemical impedance spectroscopy with a dependence on cell position

An analytic equation for electrochemical impedance of a single-cell measured with a microelectrode is presented. A previously reported equation had a practical problem that it is valid only when the microelectrode resides at the center of the cell under test. In this work, we propose a new analytic equation incorporating dependence on the cell position and confirmed its effectiveness by numerical simulation. Comparisons show that our proposed equation gives excellent agreement with the simulated impedance values. Discrepancies between the results from our equation and numerical simulation are suppressed within 13%, which is a dramatic reduction from the previously reported discrepancy of 58%. The proposed analytic equation is expected to enable more accurate analysis in actual cell experiments.