Preprint Article Version 2 NOT YET PEER-REVIEWED

A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology

Version 1 : Received: 7 August 2016 / Approved: 8 August 2016 / Online: 8 August 2016 (12:28:29 CEST)
Version 2 : Received: 19 October 2016 / Approved: 20 October 2016 / Online: 20 October 2016 (08:22:39 CEST)

A peer-reviewed article of this Preprint also exists.

Pravdin, S. A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology. Computation 2016, 4, 42. Pravdin, S. A Mathematical Spline-Based Model of Cardiac Left Ventricle Anatomy and Morphology. Computation 2016, 4, 42.

Journal reference: Computation 2016, 4, 42
DOI: 10.3390/computation4040042

Abstract

Computer simulation of normal and diseased human heart activity requires a 3D anatomical model of the myocardium, including myofibres. For clinical applications, such a model has to be constructed based on routine methods of cardiac visualisation 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 utilise finite differences in solving the reaction-diffusion problem together with an example of scroll wave dynamics simulation.

Subject Areas

left ventricle; myofibre; myocardium structure; rule-based model; mathematical anatomy

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