A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology†
1
Department of Mathematical Modeling in Cardiology, Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences (IMM UB RAS), 16 S. Kovalevskoy Street, 620990 Ekaterinburg, Russia
2
Mathematical Modeling in Physiology and Medicine with Use of Supercomputer Technologies, Ural Federal University, 19 Mira Street, 620002 Ekaterinburg, Russia
†
This paper is an extended version of our paper published in Pravdin, S. A mathematical model of cardiacleft ventricle anatomy and morphology. In Proceedings of the Experimental and Computational Biomedicine: Russian Conference with International Participation in Memory of Professor Vladimir S. Markhasin, Ekaterinburg, Russia, 10–12 April 2016; p. 25.
Academic Editors: Gennady Bocharov, Olga Solovyova and Vitaly Volpert
Computation 2016, 4(4), 42; https://doi.org/10.3390/computation4040042
Received: 25 June 2016 / Revised: 19 October 2016 / Accepted: 21 October 2016 / Published: 27 October 2016
(This article belongs to the Special Issue Multiscale and Hybrid Modeling of the Living Systems)
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.
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MDPI and ACS Style
Pravdin, S. A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology. Computation 2016, 4, 42. https://doi.org/10.3390/computation4040042
AMA Style
Pravdin S. A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology. Computation. 2016; 4(4):42. https://doi.org/10.3390/computation4040042
Chicago/Turabian StylePravdin, Sergei. 2016. "A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology" Computation 4, no. 4: 42. https://doi.org/10.3390/computation4040042
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