MODELING THE PRESSURE-VOLUME RELATION IN THE VENTRICLES | ||||
The International Conference on Mathematics and Engineering Physics | ||||
Article 3, Volume 4, International Conference on Mathematics and Engineering Physics (ICMEP-4), May 2008, Page 1-12 PDF (291.55 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/icmep.2008.29847 | ||||
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Author | ||||
SHOUCRI R. M. | ||||
Professor, Dpt. of Mathematics & Computer Science, Royal Military College of Canada, Kingston, Ontario, Canada K7K 7B4. | ||||
Abstract | ||||
ABSTRACT The active force developed by the muscular fibres of the myocardium is represented as force per unit volume of the myocardium and included in the formalism describing the pressure-volume relation (PVR) and the end-systolic pressure-volume relation (ESPVR) in the left or right ventricle. Experimental methods to measure or to calculate the parameters describing PVR have often given inconsistent results. The objective of this study is to introduce some new mathematical relations describing the properties of PVR. Verifications based on published experimental data are given. Suggestions for future experimental work are indicated. The lack of adequate mathematical formalism to verify the consistency of experimental data is the main reason that prevents the application of PVR and ESPVR in routine clinical work. | ||||
Keywords | ||||
Mechanics of ventricular contraction; clinical applications of pressure-volume relation; end-systolic pressure-volume relation; active force of the myocardium | ||||
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