JournalsrlmVol. 32, No. 2pp. 233–272

Mathematical and numerical models for the cardiac electromechanical function

  • Luca Dedè

    Politecnico di Milano, Italy
  • Alfio Quarteroni

    Politecnico di Milano, Italy, and École Polytechnique Fédérale de Lausanne, Switzerland
  • Francesco Regazzoni

    Politecnico di Milano, Italy
Mathematical and numerical models for the cardiac electromechanical function cover

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Abstract

This paper deals with the mathematical model that describes the function of the human heart. More specifically, it addresses the equations that express the electromechanical process, that is the mechanical deformation (contraction and relaxation) of the heart muscle that is induced by the electrical field that, at every heartbeat, is generated in the sino-atrial node and then propagates all across the cardiac cells. After deriving the equations of the mathematical model from basic physical principles, we proceed to their numerical approximations and discuss issues such as stability, accuracy and computational complexity. We close the paper by illustrating a few numerical results on test problems of potential interest for clinical applications.

Cite this article

Luca Dedè, Alfio Quarteroni, Francesco Regazzoni, Mathematical and numerical models for the cardiac electromechanical function. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 2, pp. 233–272

DOI 10.4171/RLM/935