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Singular perturbation analysis of the pore creation transient.

Publication ,  Journal Article
Neu, JC; Krassowska, W
Published in: Physical review. E, Statistical, nonlinear, and soft matter physics
September 2006

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.

Duke Scholars

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2006

Volume

74

Issue

3 Pt 1

Start / End Page

031917

Related Subject Headings

  • Porosity
  • Models, Biological
  • Fluids & Plasmas
  • Electroporation
  • Computer Simulation
  • Cell Membrane Permeability
  • Cell Membrane
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Neu, J. C., & Krassowska, W. (2006). Singular perturbation analysis of the pore creation transient. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, 74(3 Pt 1), 031917. https://doi.org/10.1103/physreve.74.031917
Neu, John C., and Wanda Krassowska. “Singular perturbation analysis of the pore creation transient.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 74, no. 3 Pt 1 (September 2006): 031917. https://doi.org/10.1103/physreve.74.031917.
Neu JC, Krassowska W. Singular perturbation analysis of the pore creation transient. Physical review E, Statistical, nonlinear, and soft matter physics. 2006 Sep;74(3 Pt 1):031917.
Neu, John C., and Wanda Krassowska. “Singular perturbation analysis of the pore creation transient.Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 74, no. 3 Pt 1, Sept. 2006, p. 031917. Epmc, doi:10.1103/physreve.74.031917.
Neu JC, Krassowska W. Singular perturbation analysis of the pore creation transient. Physical review E, Statistical, nonlinear, and soft matter physics. 2006 Sep;74(3 Pt 1):031917.

Published In

Physical review. E, Statistical, nonlinear, and soft matter physics

DOI

EISSN

1550-2376

ISSN

1539-3755

Publication Date

September 2006

Volume

74

Issue

3 Pt 1

Start / End Page

031917

Related Subject Headings

  • Porosity
  • Models, Biological
  • Fluids & Plasmas
  • Electroporation
  • Computer Simulation
  • Cell Membrane Permeability
  • Cell Membrane
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences