Abstract

Ventricular torque magically pushes systolic ejection fraction, and such torsional moments originate in the Frenet frame of a curve of cardiac muscle. Since surgical treatments involve preoperative anatomy calculations of the cardiac muscle, the understanding of chamber geometric effects may guide left ventricular chamber-reduction surgery. We decomposed ejection fraction for an interpretation of geometric parameters in restoration and optimization of cardiac function. Three systolic geometric parameters--sphericity, contractility, ventricular torsion--were extracted for the ejection fraction from an epicardial view. The decomposing approach allowed us to estimate each factor’s contribution to the total ejection fraction with the exception of the myocardium-to-chamber volume ratio, which represented the thickening effect during systole. All other effects took parts in ‘shrinkage factor’ (β), which corresponded the ejection fraction with an infinitesimal layer of muscle. Through comparing parameters for left ventricular ejection fraction, geometrical rearrangement of muscle bands for ventricular torsion is the most effective mechanical axis during partial left ventriculectomy, while ventricular shape factor only plays a less important role during systole in dilated cardiomyopathy, which often misleads the surgeon’s assessment.

Highlights

  • Ventricular chamber enlargement and reduced ejection fraction characterize dilated cardiomyopathy

  • The geometric effect of wall-thickening, manifesting as radial displacement of the endocardial surface on the ejection fraction is contained in the myocardium-to-chamber volume ratio (y/x)

  • We have investigated the role of parameters that contribute to cardiac ejection fraction for a better interpretation of functional geometry

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Summary

Introduction

Ventricular chamber enlargement and reduced ejection fraction characterize dilated cardiomyopathy. The procedure, partial left ventriculectomy (PLV), aims at reduce left ventricular (LV) wall-tension (via laPlace’s Law) by reducing the radius of the dilated LV chamber. Whether it improves global LV function remains controversial. Geometric effects have been noted to be important [4,5,6,7], there is no specific model or a model-based set of guidelines to guide surgeons in achieving the optimal shape and size through PLV In this respect, surgeons use empirical approaches [8] in their approach to improve ventricular shape and size. We consider the role of individual geometric factors that determine ejection fraction in an effort to provide a quantitative method by which improvement of LV function via PLV can be understood

Geometric Parameters
Sphericity Effect
Muscle Contractility
Findings
Overall left Ventricular Twisting
Conclusion
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