Homogenization of an electrophysiological model foraStrand of cardiac myocytes with gap-junctional and electric-field coupling

Paul E. Hand, Charles S. Peskin

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a homogenized description of the electrical communication along a single strand of myocytes in the presence of gap-junctional and electric-field coupling. In the model, cells are electrically coupled through narrow clefts that are resistively connected to extracellular space. Cells are also coupled directly through gap junctions. We perform numerical simulations of this full model and its homogenization. We observe that the full and homogenized descriptions agree when gap-junctional coupling is at physiologically normal levels. When gap-junctional coupling is low, the two descriptions disagree. In this case, only the full model captures the behavior that the ephaptic mechanism can speed up action potential propagation. Astrength of our homogenized description is that it is a macroscale model that can account for the preferential localization of Na + channels at the ends of cells.

Original languageEnglish (US)
Pages (from-to)1408-1424
Number of pages17
JournalBulletin of Mathematical Biology
Volume72
Issue number6
DOIs
StatePublished - 2010

Keywords

  • Cardiac modeling
  • Electric field mechanism
  • Ephaptic
  • Gap junction
  • Homogenization
  • Syncytium

ASJC Scopus subject areas

  • Neuroscience(all)
  • Immunology
  • Mathematics(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Environmental Science(all)
  • Pharmacology
  • Agricultural and Biological Sciences(all)
  • Computational Theory and Mathematics

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