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A numerical solution of the mechanical bidomain model

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  • Samip Gandhi
  • Bradley J. Roth

Abstract

Introduction: The mechanical bidomain model predicts forces on integrin proteins in the membrane. It has been solved analytically for idealized examples, but a numerical algorithm is needed to address realistic problems. Methods: The bidomain equations are approximated using finite differences. An ischemic region is modeled as a circular area having no active tension, surrounded by normal tissue. Results: The membrane force is large in the ischemic border zone, but is small elsewhere. Strain is distributed widely throughout the ischemic region and surrounding tissue. Conclusion: This calculation provides a testable prediction for the mechanism of mechanotransduction and remodeling in cardiac tissue.

Suggested Citation

  • Samip Gandhi & Bradley J. Roth, 2016. "A numerical solution of the mechanical bidomain model," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 19(10), pages 1099-1106, July.
    • Handle: RePEc:taf:gcmbxx:v:19:y:2016:i:10:p:1099-1106
    DOI: 10.1080/10255842.2015.1105964
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