The calculation of the intramyocardial stress

Article type: Research Article

Authors: Shoucri, Rachad M.

Affiliations: Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada K7K 7B4, Tel.: +1 613 541 6000/ext 6069; Fax: +1 613 541 6584; E-mail: [email protected]

Abstract: A mathematical approach is given by which the intramyocardial stress σ induced in the passive medium of the myocardium is expressed as the sum of the stress (σ)p induced in the passive medium by the left ventricular pressure P and the external pressure Po, and the stress (σ)d induced in the passive medium by the active force generated by the muscular fibers of the myocardium. Relations between σ=(σ)p+(σ)d, the left ventricular elastance E and the residual volume Vd are also derived. Applications to experimental data are given and clinical implications of the results are discussed.

Keywords: muscular fiber stress in the myocardium, end-systolic pressure-volume relation, stress-strain analysis in the myocardium, cardiac mechanics

DOI: 10.3233/THC-2002-10102

Journal: Technology and Health Care, vol. 10, no. 1, pp. 11-22, 2002