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1Department of Biomedical Engineering, Eindhoven University of Technology, Eindhoven; and 2Cardiovascular Research Institute Maastricht, Maastricht University, Maastricht, The Netherlands
Submitted 28 December 2008 ; accepted in final form 8 July 2009
Mathematical models of cardiac mechanics can potentially be used to relate abnormal cardiac deformation, as measured noninvasively by ultrasound strain rate imaging or magnetic resonance tagging (MRT), to the underlying pathology. However, with current models, the correct prediction of wall shear strain has proven to be difficult, even for the normal healthy heart. Discrepancies between simulated and measured strains have been attributed to 1) inadequate modeling of passive tissue behavior, 2) neglecting active stress development perpendicular to the myofiber direction, or 3) neglecting crossover of myofibers in between subendocardial and subepicardial layers. In this study, we used a finite-element model of left ventricular (LV) mechanics to investigate the sensitivity of midwall circumferential-radial shear strain (Ecr) to settings of parameters determining passive shear stiffness, cross-fiber active stress development, and transmural crossover of myofibers. Simulated time courses of midwall LV Ecr were compared with time courses obtained in three healthy volunteers using MRT. Ecr as measured in the volunteers during the cardiac cycle was characterized by an amplitude of
0.1. In the simulations, a realistic amplitude of the Ecr signal could be obtained by tuning either of the three model components mentioned above. However, a realistic time course of Ecr, with virtually no change of Ecr during isovolumic contraction and a correct base-to-apex gradient of Ecr during ejection, could only be obtained by including transmural crossover of myofibers. Thus, accounting for this crossover seems to be essential for a realistic model of LV wall mechanics.
magnetic resonance tagging; finite-element model; cardiac mechanics; myofiber angle
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