Analytical model for the transmembrane voltage induced on a permeabilized cell membrane in suspensions exposed to DC pulse fields / 生物医学工程学杂志

ABSTRACT

During the electroporation cell membrane conductivity increases dramatically, so the analytical model for calculating the transmembrane voltage (TMV) induced on an unpermeabilized cell membrane in suspensions can not be used in this case. An analytical model for the TMV induced on a permeabilized cell membrane in suspensions exposed to a high voltage DC pulse field was built. First, a permeabilized cell was replaced by a sphere cell having the equivalent conductivity. Then the average field inside the permeabilized cell suspensions was calculated according to the effective medium theory. Finally, based on the analytical solution for the TMV on a single unpermeabilized cell, an analytical model for the TMV on a permeabilized cell in suspensions was derived. The model shows that the TMV depends on parameters such as the external electric field, critical angle of electroporation, cell radium, conductivity of the cytoplasm, membrane and external medium, cell arrangement and cell volume fraction.