Abstract
Electroporation EP, in which external electric field pulses create transient pores in a cell membrane, is an important technique for delivery of DNA and drugs into the cell. To enable entry of DNA into cells, the pores should have sufficiently large radii, remain open long enough for the DNA chain to enter the cell, and should not cause membrane rupture. A numerical model for a single spherical cell electroporated by application of direct and/or alternating external electric field pulses has been developed. The model is used to calculate the transmembrane potential, the number of pores and the the fraction of area occupied by the pores (fractional pore area FPA) in response to the various electric field pulses. Presented here are simulation results used to compare the extent of electroporation (fractional pore area FPA) in response to eletric field pulses of different frequencies in a range of extracellular conductivity for two cell raii. It is also observed that a 1 MHz bipolar sinusoidal applied electric field pulse reduces the relative difference in fractional pore area between the two cell sizes compared to a 100 kHz pulse.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Cemazar, D. Miklavcic, and G. Sersa, “Intrinsic sensitivity of tumor cells to bleomycin as an indicator of tumor response to electrochemotherapy,” Japanese journal of cancer research, vol. 89, pp. 328–333, 1998.
G. Sersa, “Electrochemotherapy,” in Electrochemotherapy, Electrogenetherapy, and Transdermal Drug Delivery : Electrically Mediated Delivery of Molecules to Cells (Methods in Molecular medicine), M. J. Jaroszeski, R. Heller, and R. Gilbert, Eds. Totowa, New Jersey: Humana Press, 2000, ch. 6, pp. 119–133.
G. Sersa, S. Novakovic, and D. Miklavcic, “Potentiation of bleomycin antitumor effectiveness by electrotherapy,” Cancer letters, vol. 69, pp. 81–84, 1993.
K. A. DeBruin and W. Krassowska, “Modeling electroporation in a single cell. I. Effects of field strength and rest potential.” Biophysical Journal, vol. 77, pp. 1213–1224, 1999.
S. Talele and P. Gaynor, “Nonlinear time domain model of electropermeabilization: Response of a single cell to an arbitrary applied electric field,” Journal of Electrostatics, vol. 65, pp. 775–784, 2007.
K. C. Smith, J. C. Neu, and W. Krassowska, “Model of creation and evolution of stable electropores for dna delivery,” Biophysical Journal, vol. 86, p. 28132826, 2004.
W. Krassowska and P. D. Filev, “Modeling electroporation in a single cell,” Biophysical Journal, vol. 92, pp. 404–417, 2007.
J. Newman, “Resistance for flow of current to a disk,” Journal of The Electrochemical Society, vol. 113, pp. 501–502, 1966.
J. C. Neu and W. Krassowska, “Modeling postshock evolution of large electropores,” Physical review E, vol. 67, pp. 1–12, 2003.
J. C. Weaver and Y. Chizmadzhev, “Theory of electroporation: a review,” Bioelectrochemistry and bioenergetics, vol. 41, pp. 135–160, 1996.
J. Israelachvili, Intermolecular and Surface Forces. London, UK: Academic Press, 1992.
J. C. Neu and W. Krassowska, “Asymptotic model of electroporation,” Physical review E, vol. 59, pp. 3471–3482, 1999.
J. C. Weaver and K. T. Powell, “Theory of electroporation,” in Electroporation and Electrofusion in Cell Biology, E. Neumann, A. E. Sowers, and C. A. Jordan, Eds. New York: Plenum Press, 1989, ch. 7, pp. 111–126.
R. W. Glaser, S. L. Leikin, L. V. Chernomordik, V. F. Pastushenko, and A. I. Sokirko, “Reversible electrical breakdown of lipid bilayers: formation and evolution of pores,” Biochim Biophys Acta, vol. 940, p. 275287, 1988.
I. G. Abidor, V. B. Arakelyan, L. V. Chernomordik, Y. A. Chizmadzhev, V. F. Pastushenko, and M. R. Tarasevich, “Electric breakdown of bilayer membranes: 1. the main experimental facts and their qualitative discussion,” Bioelectrochemistry and bioenergetics, vol. 6, pp. 37–52, 1979.
M. Kanduser, M. Fosnaria, M. entjurcb, V. Kralj-Iglic, H. Hgerstrandd, A. Iglia, and D. Miklavich, “Effect of surfactant polyoxyethylene glycol (c12e8) on electroporation of cell line dc3f,” Colloids and Surfaces A, vol. 214, p. 205217, 2003.
A. Barnett and J. C. Weaver, “Electroporation: a unified, quantitative theory of reversible electrical breakdown and mechanical rupture in artificial planar bilayer membranes,” Bioelectrochemistry and bioenergetics, vol. 25, pp. 163–182, 1991.
R. P. Joshi, Q. Hu, K. H. Schoenbach, and H. P. Hjalmarson, “Improved energy model for membrane electroporation in biological cells subjected to electrical pulses,” Physical review E, vol. 65, no. 4, pp. 041 920–041 928, Apr 2002.
V. F. Pastushenko and Y. A. Chizmadzhev, “Stabilization of conducting pores in blm by electric current,” Gen. Physiol. Biophys, vol. 1, pp. 43–52, 1982.
K. R. Foster and H. P. Schwan, “Dielectric properties of tissues,” in Handbook of biological effects of electromagnetic fields, C. Polk and E. Postow, Eds. New York: CRC Press, 1996, ch. 1, pp. 25–97.
C. Grosse and H. P. Schwan, “Cellular membrane potentials induced by alternating fields,” Biophysical Journal, vol. 66, pp. 1632–1642, 1992.
M. Hibino, M. Shigemori, H. Itoh, K. Nagayama, and K. J. Kinosita, “Membrane conductance of an electroporated cell analyzed by submicrosecond imaging of transmembrane potential,” Biophysical Journal, vol. 59, pp. 209–220, 1991.
T. Kotnik, D. Miklavcic, and T. Slivnik, “Time course of transmembrane voltage induced by time-varying electric fields a method for theoretical analysis and its application,” Bioelectrochemistry and bioenergetics, vol. 45, pp. 3–16, 1998.
T. Kotnik and D. Miklavcic, “Theoretical evaluation of the distributed power dissipation in biological cells exposed to electric fields,” Bioelectromagnetics, vol. 21, pp. 385–394, 2000.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media B.V.
About this paper
Cite this paper
Talele, S., Gaynor, P., Van Ekeran, J., Cree, M.J. (2010). Modelling Single Cell Electroporation with Bipolar Pulse: Simulating Dependance of Electroporated Fractional Pore Area on the Bipolar Field Frequency. In: Iskander, M., Kapila, V., Karim, M. (eds) Technological Developments in Education and Automation. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3656-8_65
Download citation
DOI: https://doi.org/10.1007/978-90-481-3656-8_65
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3655-1
Online ISBN: 978-90-481-3656-8
eBook Packages: Humanities, Social Sciences and LawEducation (R0)