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. 1981 Apr;34(1):35–59. doi: 10.1016/S0006-3495(81)84836-9

Body forces and pressures in elastic models of the myocardium.

W H Pierce
PMCID: PMC1327453  PMID: 7213931

Abstract

Tension strands are introduced to represent active myocardial fibers. They create one body force proportional to the divergence of the tension-direction vector, and a second equal to the tension divided by the radius of curvature. Explicit solutions to isotropic linearly elastic tensor equations with these body forces are found for the radially-symmetric, linearly-isotropic, elastic spherical heart with arbitrary radial body force. They confirm experiments showing supraluminal intramural pressures. Such pressures may affect coronary perfusion. A tension strand model which is a reasonable compromise between actual myofibrillar geometry and analytical simplicity is the iso-oblique, terminating, nonintersecting model. The body force from that or any other axially symmetric body force can be the forcing term for equations in which the heart is modeled as a thin, ellipsoidal, elastic membrane.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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