Analysis for relationship of transmembrane potential-pulsed electric field frequency

The paper presents a model of a spherical cell. The transmembrane potential on cell membrane is obtained by solving the Laplace's equation. The frequency dependence of the transmembrane potential in pulsed electric fields is described. The value of transmembrane potential decreases as the frequency of external electric field increases. And there is a range of frequency for the value of transmembrane potential to decrease fast. It is shown that there is a strong relationship between the value of transmembrane potential and frequency components contained in the pulse. With more low-frequency components, the value of transmembrane potential is increasing and thus a better sterilization effect can be obtained. By comparing the frequency components contained in square wave pulse, exponentially decaying pulse, oscillatory pulse and their sterilization effect respectively, the analysis results about the relationship of transmembrane potential-frequency presented in this paper is validated.