Discontinuous Galerkin Model of Cellular Electroporation

Daniel C. Sweeney, Rafael V. Davalos

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Electroporation (EP) is a phenomenon involving both nonlinear biophysical processes and complex geometries. When exposed to strong electric fields, the formation of pores within a cell membrane increases the membrane permeability. Discontinuous Galerkin (DG) finite element methods can directly enforce these flux jumps across the thin cell membrane interface. We implement a DG finite element method to model the electric field, pore formation, and transmembrane flux of charged solutes during EP. Our model is readily extensible for parallel computation on high performance clusters and agrees with previous reports.

Original languageEnglish
Title of host publication40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5850-5853
Number of pages4
ISBN (Electronic)9781538636466
DOIs
StatePublished - Oct 26 2018
Externally publishedYes
Event40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2018 - Honolulu, United States
Duration: Jul 18 2018Jul 21 2018

Publication series

NameProceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBS
Volume2018-July
ISSN (Print)1557-170X

Conference

Conference40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, EMBC 2018
Country/TerritoryUnited States
CityHonolulu
Period07/18/1807/21/18

Funding

Submitted February 16th, 2018. Research supported by the National Science Foundation (DGE-0966125; CBET-1055913) and National Institutes of Health (R01CA213423) D. C. Sweeney and R. V. Davalos are with the Department of Biomedical Engineering and Mechanics at Virginia Tech, Blacksburg, VA, USA (correspondence e-mail: [email protected]) Fig. 1. A cell was modeled as a 2D axisymmetric sphere. (a) Diagram of the model geometry. The left side of the geometry is collinear with the axis of symmetry. (b) The 150 µm 75 µm triangular mesh included 588 elements that range in diameter from 0.84 µm to 20 µm.

Keywords

  • Biotransport
  • Discontinuous Galerkin
  • Electroporation
  • Finite Element

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