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A mathematical approach demonstrated that total intramyocardial passive stress can be expressed as the sum of passive stress induced by left ventricular pressure and by active fiber stress.
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A new mathematical approach provides a better understanding of cardiac contraction mechanics by relating intramyocardial passive stress to left ventricular pressure and active fiber stress.
A mathematical approach that can be used to calculate the passive stress in the ventricular wall is presented. The active fiber stress (force/unit area) generated by the muscular fibers in the ventricular wall is expressed by means of body force (force/unit volume of the myocardium). It is shown that the total intramyocardial passive stress induced in the passive medium of the myocardium can be expressed as the sum of a passive stress induced by the left ventricular pressure and a passive stress induced by the active fiber stress. Applications to experimental data published in the literature are given. New results are presented that show the relation among those two components of the intramyocardial passive stress. New relations between the intramyocardial passive stress, the slope (elastance) of the pressure-volume relation, and the residual volume are also derived. The results obtained give a better understanding of some aspects of the mechanics of cardiac contraction and can provide a more detailed interpretation of clinical conditions.
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Rachad M. Shoucri (2000) studied Myocardial mechanics. Mathematical modeling of ventricular wall stress was evaluated. A mathematical approach demonstrated that total intramyocardial passive stress can be expressed as the sum of passive stress induced by left ventricular pressure and by active fiber stress.
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