Some Results Related to the Application of the ESPVR to the Study of Cardiac Mechanics
Rachad Mounir Shoucri*
Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada
*Corresponding Author: Rachad Mounir Shoucri, Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, Canada.
Received: February 14, 2022; Published: March 31, 2022
Relations previously derived between the ejection fraction (EF) and the parameters describing the linear model of the end-systolic pressure-volume relation (ESPVR) of the left-ventricle of the heart have been used to derive indexes that can be used to study the mechanics of cardiac contraction and some aspects of heart failure (HF). The present study presents further applications of these indexes to clinical data published in the medical literature in a way to show the consistency of the mathematical formalism used. An important aspect of this mathematical formalism is the introduction of the peak active pressure generated by the myocardium during an ejecting contraction (also called isovolumic pressure Pisom by physiologists) in the mathematical formalism describing the ESPVR. The link between the change of volume of the left-ventricle and the pressures acting on the myocardium is given by two parameters, the slope Emax of the ESPVR, and the intercept Vom of the ESPVR with the horizontal volume-axis. It is observed that no one index gives perfect segregation between all clinical groups, some indexes are better than others depending on the clinical groups considered. It is also observed that bivariate (or multivariate) analysis of data gives better classification of clinical data than univariate analysis (like using only EF).
Keywords: Ejection Fraction; ESPVR; Heart Failure
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