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Multi-scale Simulations of Cell Aggregate Electropermeabilization

Authors:

Abstract

Electropermeabilization (also called electroporation) is a significant increase in the electrical conductivity and permeability of the cell membrane that occurs when pulses of large amplitude (a few hundred volts per centimeter) are applied to the cells. • Due to the electric field, the cell membrane is permeabilized, and then non-permeant molecules can easily enter the cell cytoplasm by diffusion through the electropermeabilized membrane areas. • This phenomenon facilitates targeted drug delivery. • For the first time, direct simulations of the multi-scale electroporation phenomena such as shadowing effect, permeabilization saturation, tissue-scale homogenization, and memory effects have become possible. Abstract Mathematical Model Computational Strategy • The Electropermeabilization model is simulated on a Voronoi mesh in a parallel environment that is developed in the context of the level-set method. Cells' positions are drawn from a quasi-random set to avoid overlap at high densities. Physical interactions: Electroporation model: Discretization (finite-volume method): Numerical Results Processor ranks Electric Potential "Shadowing Effect" in permeability pattern, and the final "Saturation" Enhanced cell permeability: thresholded by increasing lower bounds
Electropermeabilization (also called electroporation) is a significant
increase in the electrical conductivity and permeability of the cell
membrane that occurs when pulses of large amplitude (a few hundred
volts per centimeter) are applied to the cells.
Due to the electric field, the cell membrane is permeabilized, and then
non-permeant molecules can easily enter the cell cytoplasm by
diffusion through the electropermeabilized membrane areas.
This phenomenon facilitates targeted drug delivery.
For the first time, direct simulations of the multi-scale electroporation
phenomena such as shadowing effect, permeabilization saturation,
tissue-scale homogenization, and memory effects have become
possible.
Multi-scale Simulations of Cell Aggregate Electropermeabilization
Pouria Akbari Mistani, Arthur Guittet, Clair Poignard, and Frederic Gibou
Department of Mechanical Engineering, University of California Santa Barbara
Abstract
Mathematical Model
Computational Strategy
The Electropermeabilization model is simulated on a Voronoi mesh in a parallel environment that is developed in the context of the level-
set method. Cells’ positions are drawn from a quasi-random set to avoid overlap at high densities.
Physical interactions:
Electroporation model:
Discretization (finite-volume method):
Numerical Results
Processor ranks
Electric Potential
“Shadowing Effect” in permeability pattern, and the final “Saturation”
Enhanced cell permeability: thresholded by increasing lower bounds
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