The cardiac muscle reaches its highest state of activation at end-systole at point (Pm, Vm) on the PV-loop during the contraction phase. The end-systolic pressure-volume relation is the tangent to the PV-loop at (Pm, Vm) (ESPVR). The inclusion of the active pressure created by the myocardium in the mathematical formalism characterising the ESPVR is a key component of this research (also known as the isovolumic pressure Piso by physiologists). The goal of this mathematical approach is to derive meaningful relationships between the ejection fraction (EF), the ESPVR parameters, and the regions under the ESPVR. These relationships shed fresh light on the mechanics of ventricular contraction, demonstrating that the EF is only one of several indexes available for quantifying and describing ventricular function. In order to assess the status of the myocardium, bivariate (or multivariate) data analysis appears to be superior to univariate data analysis. The topic of heart failure with preserved ejection fraction (HFpEF) is studied using criteria that are developed and debated. The effect of ventricular geometry on the estimation of the EF is also considered. Applications to clinical data are shown, demonstrating the mathematical formalism's consistency.
Author(S) Details
Rachad Mounir Shoucri
Department of Mathematics & Computer Science, Royal Military College of Canada, Kingston, Ontario K7K 7B4, Canada.
View Book:- https://stm.bookpi.org/RDMMR-V4/article/view/4170
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