Mathematical analysis of systolic strain in 6 dogs demonstrated that myocardial sheets coincide with planes of maximum systolic shear when constrained to contain the muscle fiber axis.
Mathematical modeling confirms that myocardial laminar sheets coincide with planes of maximum systolic shear that contain the muscle fiber axis, and exist in two distinct orientations.
Cardiac myofibers are organized into laminar sheets about four cells thick. Recently, it has been suggested that these layers coincide with the plane of maximum shear during systole. In general, there are two such planes, which are oriented at +/-45 degrees to the main principal strain axes. These planes do not necessarily contain the fiber axis. In the present study, we explicitly added the constraint that the sheet planes should also contain the muscle fiber axis. In a mathematical analysis of previously measured three-dimensional transmural systolic strain distributions in six dogs, we computed the planes of maximum shear, adding the latter constraint by using the also-measured muscle fiber axis. Generally, for such planes two solutions were found, suggesting that two populations of sheet orientation may exist. The angles at which the predicted sheets intersected transmural tissue slices, cut along left ventricular short- or long-axis planes, were strikingly similar to experimentally measured values. In conclusion, sheets coincide with planes of maximum systolic shear subject to the constraint that the muscle fiber axis is contained in this plane. Sheet orientation is not a unique function of the transmural location but occurs in two distinct populations.
Arts et al. (2001) studied Myocardial laminar architecture (n=6). Mathematical analysis with constraint that sheet planes contain muscle fiber axis was evaluated on Planes of maximum shear and sheet orientation. Mathematical analysis of systolic strain in 6 dogs demonstrated that myocardial sheets coincide with planes of maximum systolic shear when constrained to contain the muscle fiber axis.