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ANALYSIS OF THE DIASTOLIC PRESSURE-VOLUME RELATIONSHIP USING AN ELLIPSOIDAL REPRESENTATION OF THE LEFT VENTRICLE
Book chapter

ANALYSIS OF THE DIASTOLIC PRESSURE-VOLUME RELATIONSHIP USING AN ELLIPSOIDAL REPRESENTATION OF THE LEFT VENTRICLE

Dennis J. Arena, William J. Ohley and Dov Jaron
Proceedings of the Sixth New England Bioengineering Conference
1978
DOI: https://doi.org/10.1016/B978-0-08-022678-1.50009-6

Abstract

This chapter presents an analysis of the diastolic pressure–volume relationship using an ellipsoidal representation of the left ventricle. It presents a time domain representation of the left ventricle. Previously, this model was used to analyze the isovolumic contraction phase and the ejection phase of the cardiac cycle. Results obtained from the simulation agreed with results from animal experiments. The chapter explores the properties of the model under conditions where the distributed strain in the ventricular wall was replaced by strain concentrated along a single surface within the myocardium. In the study described in the chapter, the left ventricle was modeled by two ellipses of revolution that represent the endocardial and epicardial surfaces of the chamber. The ellipsoids were truncated perpendicular to their long axis by a plane corresponding to the base of the left ventricle. The ellipsoids were approximated by a series of cylindrical shells. The model was tested utilizing 10 cylindrical segments. The stress in the walls of the cylindrical shells at end diastole was found from the end-diastolic pressure and end-diastolic configuration. The corresponding strain in the walls of the cylindrical shells was calculated from the stress–strain relationship of the model. As the assumed location of the strain is allowed to shift toward the epicardium, the results obtained from the model indicate that left ventricular internal pressure sensitivity to changes in chamber volume diminishes.

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