A Basic Look at Ventricular Function and Cardiac Mechanics | Chapter 5 | Recent Developments in Medicine and Medical Research Vol. 4

 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

Clinical Applications of the Areas under ESPVR: A Review | Chapter 2 | Highlights on Medicine and Medical Research Vol. 10

 For a linear model of the ESPVR, relationships between the ejection fraction (EF), parameters characterising the end-systolic pressure-volume relation (ESPVR), and regions under the ESPVR are determined. In the mathematical formalism characterising the ESPVR, the active pressure created by the myocardium during an ejecting contraction (also known as isovolumic pressure Piso by physiologists) is incorporated. The ESPVR's numerous sections are sensitive indices that represent the condition of the myocardium. The mathematical formalism's consistency is demonstrated through applications to clinical data reported in the medical literature. The results show that bivariate (or multivariate) data analysis is superior to utilising a single measure (such as EF) to differentiate between clinical groups. Calculations can be performed on data acquired in a non-invasive manner when pressure ratios are used (ratio of pressures can be calculated by using the mathematical formalism introduced).

Author(s) Details

Rachad M. Shoucri
Department of Mathematics and Computer Science, Royal Military College of Canada, Kingston, ON K7K 7B4, Canada.

View Book :- https://stm.bookpi.org/HMMR-V10/article/view/1113