Key result
Mathematical and numerical models were developed to describe the electromechanical function of the human heart, addressing stability, accuracy, and computational complexity.
The study provides mathematical and numerical models to simulate the electromechanical function of the human heart, offering potential tools for clinical applications.
Requires clinical validation before guiding care; leaves open translation of these models to practice.
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.
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Dede’ et al. (2021) studied Cardiac electromechanical function. Mathematical and numerical models was evaluated. Mathematical and numerical models were developed to describe the electromechanical function of the human heart, addressing stability, accuracy, and computational complexity.
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