A numerical solution of the mechanical bidomain model

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.

Keywords:

• Mechanical bidomain model
• finite difference
• cardiac tissue
• ischemia
• border zone
• mechanotransduction

Disclosure statement

No potential conflict of interest was reported by the authors.