Singular perturbation analysis of the pore creation transient.

Published

Journal Article

Electroporation, in which electric pulses create transient pores in the cell membrane, is an important technique for drug and DNA delivery. Electroporation kinetics is mathematically described by an advection-diffusion boundary value problem. This study uses singular perturbation to derive a reduced description of the pore creation transient in the form of a single integrodifferential equation for the transmembrane voltage Vt. The number of pores and the distribution of their radii are computed from Vt. The analysis contains two nonstandard features: the use of the voltage deviation to peel away the strong exponential dependence of pore creation upon the transmembrane potential, and the autonomous approximation of the pore evolution. Comparing the predictions of the reduced equation with the simulations of the original problem demonstrates that this analysis allows one to predict with good accuracy the number and distribution of pores as a function of the electric pulse strength.

Full Text

Duke Authors

Cited Authors

  • Neu, JC; Krassowska, W

Published Date

  • September 27, 2006

Published In

Volume / Issue

  • 74 / 3 Pt 1

Start / End Page

  • 031917 -

PubMed ID

  • 17025677

Pubmed Central ID

  • 17025677

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/physreve.74.031917

Language

  • eng