A proposed mathematical model integrating cardiac electrophysiology, mechanics, and hemodynamics produced numerical simulations of a human left heart that agreed with physiological ranges.
A novel mathematical model successfully integrates cardiac electrophysiology, mechanics, and fluid dynamics to simulate human left heart function in agreement with physiological data.
We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and includes reduced models for cardiac valves and the circulatory system. Our model accounts for the major feedback effects among the different processes that characterize the heart function, including electro-mechanical and mechano-electrical feedback as well as force-strain and force-velocity relationships. Moreover, it provides a three-dimensional representation of both the cardiac muscle and the hemodynamics, coupled in a fluid-structure interaction (FSI) model. By leveraging the multiphysics nature of the problem, we discretize it in time with a segregated electrophysiology-force generation-FSI approach, allowing for efficiency and flexibility in the numerical solution. We employ a monolithic approach for the numerical discretization of the FSI problem. We use finite elements for the spatial discretization of partial differential equations. We carry out a numerical simulation on a realistic human left heart model, obtaining results that are qualitatively and quantitatively in agreement with physiological ranges and medical images.
Bucelli et al. (Thu,) conducted a other in Simulation of heart function. Mathematical and numerical model integrating cardiac electrophysiology, mechanics, and fluid dynamics was evaluated. A proposed mathematical model integrating cardiac electrophysiology, mechanics, and hemodynamics produced numerical simulations of a human left heart that agreed with physiological ranges.