On the geometrical relationship between global longitudinal strain and ejection fraction in the evaluation of cardiac contraction.

Ejection fraction (EF) and global longitudinal strain (GLS) provide measures of left ventricle (LV) contraction that are closely related and also reflect different aspects of systolic function. Their comparative analysis can be informative about additional physiological properties on how LV contraction is achieved. The mathematical underlying relationship between EF and the GLS has been exploited and verified through data collected from recent literature. It was demonstrated that GLS and EF are bi-univocally related in the case of a self-similar systolic contraction. The deviation from this relationship, which can be quantified in terms of a shape function, characterizes the change of LV shape during the contraction. This analysis provides a firm ground to highlight the incremental information carried by GLS in the clinical evaluation of cardiac function.