Activation models for the numerical simulation of cardiac electromechanical interactions

Ricardo Ruiz Baier, Davide Ambrosi, Simone Pezzuto, Simone Rossi, Alfio Quarteroni

Research output: Chapter in Book/Report/Conference proceedingChapter (Book)Research


This contribution addresses the mathematical modeling and numerical approximation of the excitation-contraction coupling mechanisms in the heart. The main physiological issues are preliminarily sketched along with an extended overview to the relevant literature. Then we focus on the existing models for the electromechanical interaction, paying special attention to the active strain formulation that provides the link between mechanical response and electrophysiology. We further provide some critical insight on the expected mathematical properties of the model, the ability to provide physiological results, the accuracy and computational cost of the numerical simulations. This chapter ends with a numerical experiment studying the electromechanical coupling on the anisotropic myocardial tissue.
Original languageEnglish
Title of host publicationComputer Models in Biomechanics
Subtitle of host publicationFrom Nano to Macro
EditorsG Holzapfel, E Kuhl
Place of PublicationDordrecht Germany
Number of pages13
ISBN (Electronic)9789400754645
ISBN (Print)9789400754638
Publication statusPublished - 2013
Externally publishedYes


  • Active Strain
  • Ordinary Differential Equation Model
  • Multiplicative Decomposition
  • Force Balance Equation
  • Parallel Finite Element

Cite this

Ruiz Baier, R., Ambrosi, D., Pezzuto, S., Rossi, S., & Quarteroni, A. (2013). Activation models for the numerical simulation of cardiac electromechanical interactions. In G. Holzapfel, & E. Kuhl (Eds.), Computer Models in Biomechanics: From Nano to Macro (pp. 189-201). Springer.