Efficient computational modeling of left ventricular dynamics

Series: Quantitative Biology Colloquium
Location: Math 402
Presenter: Brian Hong, Program in Applied Mathematics, University of Arizona

Current methods of echocardiography provide detailed information about heart wall motion during the cardiac cycle. However, the ability to interpret these data in terms of cardiac muscle properties remains limited. In this talk we will present an efficient computational model of the left ventricle (LV) that describes LV kinematics in terms of a limited number of modes. We derive a family of mappings using a relatively small number (<20) of time-dependent parameters to represent the main modes of LV deformation. These deformations are chosen to closely represent the important characteristics of LV motion, such as contraction, torsion, and elongation. We construct a mechanical model that incorporates muscle fiber orientations, active and passive stresses, and surface tractions. We illustrate the usefulness of this modeling technique by solving for the passive mechanical parameters in a mouse LV.