title: A numerical solution of the mechanical bidomain model.
abstract: BACKGROUND
  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.
  
  
  CONCLUSIONS
  This calculation provides a testable prediction for the mechanism of mechanotransduction and remodeling in cardiac tissue.
authors.affiliation: a Department of Physics , Oakland University , Rochester , MI , USA.
authors.forename: Samip
authors.initials: S
authors.lastname: Gandhi
authors.affiliation: a Department of Physics , Oakland University , Rochester , MI , USA.
authors.forename: Bradley J
authors.initials: BJ
authors.lastname: Roth
mesh_terms: D000465:Algorithms; D001696:Biomechanical Phenomena; D006801:Humans; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted
keywords: Mechanical bidomain model; border zone; cardiac tissue; finite difference; ischemia; mechanotransduction