Deriving an electric circuit equivalent model of cell membrane pores in electroporation
Electroporation is the formation of reversible pores in cell membranes under a brief pulse of high electric field. Dynamics of pore formation during electroporation suggests that the transmembrane potential would settle approximately at the threshold transmembrane potential and the transmembrane resistance would decrease significantly from the state of relaxation. The current electric circuit equivalent models for electroporation containing time-invariant, static and passive components are unable to capture the pore dynamics. A biophysically-inspired electric circuit equivalent model containing dynamic components for membrane pores has been derived using biological parameters. The model contains a voltage-controlled resistor driven by a two-stage cascaded integrator that is activated through a voltage-gated switch. Simulation results with the derived model showed higher accuracy compared to a commonly used model, where the transmembrane resistance decreased million-fold at the onset of electroporation and the transmembrane potential settled at 99.5% of the critical transmembrane potential, thus enabling improved dynamic behavior modeling ability of the pores in electroporation. The derived model allows fast and reliable analysis of this biophysical phenomenon and potentially aids in optimization of various parameters involved in electroporation.
|Keywords||Electric circuit equivalent model, Electroporation, Transmembrane potential|
|Journal||Biophysical Reviews and Letters|
Morshed, B.I., Shams, M, & Mussivand, T. (2013). Deriving an electric circuit equivalent model of cell membrane pores in electroporation. Biophysical Reviews and Letters, 8(1-2), 21–32. doi:10.1142/S1793048012500099