Simulation of Left Ventricular Dynamics Using a Low-Order Mathematical Model.

ABSTRACT: The eventual goal of this study is to develop methods for estimating dynamic stresses in the left ventricle (LV) that could be used on-line in clinical settings, based on routinely available measurements. Toward this goal, a low-order theoretical model is presented, in which LV shape is represented using a small number of parameters, allowing rapid computational simulations of LV dynamics. The LV is represented as a thick-walled prolate spheroid containing helical muscle fibers with nonlinear passive and time-dependent active contractile properties. The displacement field during the cardiac cycle is described by three time-dependent parameters, using a family of volume-preserving mappings based on prolate spheroidal coordinates. Stress equilibrium is imposed in weak form and the resulting

SUBMITTER: Moulton MJ 

PROVIDER: S-EPMC5707240 | biostudies-literature | 2017 Dec

REPOSITORIES: biostudies-literature