Bs. Thornton et Wt. Hung, DYNAMIC STIFFNESS AND IMPLICATIONS FOR ASSISTING THE OPERATION OF THELEFT-VENTRICLE, IMA journal of mathematics applied in medicine and biology, 13(4), 1996, pp. 275-295
The distribution of bending strain and stiffness in the wall of the le
ft ventricle (LV) is relevant to the augmentation of its function by a
modified skeletal-muscle wrap in the new surgical procedure of cardio
myoplasty. A novel approach to ventricular mechanics is presented whic
h blends some finite-element results in engineering with new data avai
lable on ventricular geometry. Two simplified axisymmetric strip-eleme
nt models of the LV are used to illustrate aspects of myocardial stiff
ness in the bending-strain-energy distribution and the effect on wrap
synchronization of a change in cross-fibre stiffness when the heart ha
s nonuniform or ectopic beats. The nonlinear and time-dependent nature
of both damping and wall stiffness is derived from differential equat
ions governing the dynamic paths from systole to diastole of finite wa
ll elements around the periphery of an oblique LV slice using magnetic
resonance imaging (MRI) data. This leads to a geometric method for de
termining these parameters. Results for time-dependent stiffnesses of
elements in their trajectories are presented for a normal heart.