Abstract
Computer simulation of normal and diseased human heart activity requires a 3D anatomical model of the myocardium, including myofibers. For clinical applications, such a model has to be constructed based on routine methods of cardiac visualization, such as sonography. Symmetrical models are shown to be too rigid, so an analytical non-symmetrical model with enough flexibility is necessary. Based on previously-made anatomical models of the left ventricle, we propose a new, much more flexible spline-based analytical model. The model is fully described and verified against DT-MRI data. We show a way to construct it on the basis of sonography data. To use this model in further physiological simulations, we propose a numerical method to utilize finite differences in solving the reaction-diffusion problem together with an example of scroll wave dynamics simulation.
Highlights
Integrative mathematical models of complicated hierarchic physiological systems, such as the heart, allow the use of a computational mathematical approach to describe these systems from the molecular level to the macro level, which characterizes the structure and functions of the whole heart and/or certain heart chambers, including the LV
Preferential paths for the propagation of an electrical excitation wave in the human ventricular myocardium are associated with muscle fibers in tissue
3D simulation of electrophysiological and mechanical activity of the heart requires an anatomical model that includes a field of myofiber directions
Summary
Integrative mathematical models of complicated hierarchic physiological systems, such as the heart, allow the use of a computational mathematical approach to describe these systems from the molecular level to the macro level, which characterizes the structure and functions of the whole heart and/or certain heart chambers, including the LV. Preferential paths for the propagation of an electrical excitation wave in the human ventricular myocardium are associated with muscle fibers in tissue. 3D simulation of electrophysiological and mechanical activity of the heart requires an anatomical model that includes a field of myofiber directions. Several models of the electrical and/or mechanical activity of the whole heart or its chambers have been proposed [1,2,3,4,5,6,7,8,9,10,11,12]. The most valuable of these are based on a detailed description of cardiac anatomy and the fiber orientation field, which is crucial for a correct representation of the physiological function of the heart
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