Dynamic polarization modeling of suspended cells under AC field

In this paper some phenomena observed in the electrophoresis experiment of mushroom spores suspension was studied. Ordinarily, the distribution of spores suspending in the solution is ruleless because of the thermal motion, but when the AC field is added on the suspending solution, these spores become to present some regular phenomenon. The process of this phenomenon can be divided into three moments which are called turning, directional moving and cluster forming. The turning process is considered to be the most important moment as it is relevant to polarization of cell. At first, some theories of the cell membrane structure and diffuse double layer (DDL) are introduced. Then a lot of equations are deduced to build the relation between ions distribution and electrical potential. If the ion concentration is not too big, the distribution of ion concentration and electrical potential has the similar mathematical expression by the Possion-Boltzmann relation and Fick theorem, which indicates the ion distribution can be described by calculation of electric field.