J. Rijcken et al., OPTIMIZATION OF LEFT-VENTRICULAR FIBER ORIENTATION OF THE NORMAL HEART FOR HOMOGENEOUS SARCOMERE-LENGTH DURING EJECTION, European journal of morphology, 34(1), 1996, pp. 39-46
During the ejection phase of the cardiac cycle, left ventricular muscl
e fibres shorten while generating force. It was hypothesized that fibr
es are oriented in the wall such that the amount of shortening is the
same for all fibres. We evaluated this hypothesis for the equatorial r
egion of the left ventricle. In a finite element model of left ventric
ular wall mechanics fibre orientation was quantified by a helix angle
which varied linearly from the inner to the outer wall. Fibre length w
as characterized by sarcomere length, set at 1.95 mu m everywhere in t
he passive state of 0 transmural pressure. For a cavity pressure of 15
kPa, considered representative for ejection, inhomogeneity in mechani
cal loading was expressed by the variance of the sarcomere length. The
variance was minimized by adapting the transmural course of fibre ang
le. First, only the slope was optimized and in a second optimization t
his was done for both slope and intercept. Optimal helix fibre angles
were 69.6 degrees endocardially, 0 degrees at the middle of the wall a
nd -69.6 degrees epicardially for the first optimization and 78.2 degr
ees, 20.7 degrees and, -36.7 degrees respectively for the second. Sarc
omere length changed from 1.95 to 1.975+/-0.012 and 1.981+/-0.004 mu m
(mean+/-SD) respectively. Conclusion: After optimization calculated h
elix fibre angles were in the physiological range. Describing the tran
smural course of fibre angle with slope and intercept significantly im
proved homogeneity in mechanical load.