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An analytic equation for electrochemical impedance of a single-cell measuredwith a microelectrode is presented. A previously reported equation had apractical problem that it is valid only when the microelectrode resides at thecenter of the cell under test. In this work, we propose a new analytic equationincorporating dependence on cell position, and confirmed its effectiveness bynumerical simulation. Comparisons show that our proposed equation gives anexcellent agreement with simulated impedance values. Discrepancies betweenresults from our equation and numerical simulation is suppressed within 13%,which is a dramatic reduction from the previously-reported equation as large as58%. The proposed analytic equation is expected to enable more accurateanalysis in actual cell experiments.

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