Some applications of the P-V relation to the study of left ventricular performance

There is still controversy as to which characteristics of the pressure-volume relation should be used to define myocardial contractility. In the present study a mathematical model for the left ventricle as a two-dimensional cylinder contracting radially and symmetrically was used to establish a rela...

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Bibliographic Details
Published in:Bulletin of mathematical biology 1989, Vol.51 (4), p.475-484
Main Authors: Shoucri, Rachad M., Rouleau, Jacques R., Kingma, John G., Dumesnil, Jean G., Dagenais, Gilles R.
Format: Article
Language:English
Subjects:
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Heart
Heart - anatomy & histology
Heart Ventricles - anatomy & histology
Humans
Models, Cardiovascular
Models, Theoretical
Myocardial Contraction
Pressure
Ventricular Function
Vertebrates: cardiovascular system
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Summary:There is still controversy as to which characteristics of the pressure-volume relation should be used to define myocardial contractility. In the present study a mathematical model for the left ventricle as a two-dimensional cylinder contracting radially and symmetrically was used to establish a relation between a calculated intramyocardial pressure ( Dh) and the P-V relation (PVR) at end-systole. Four new indices are introduced that allow a better assessment of change in inotropic state of the myocardium, namely the calculated intramyocardial pressure ( Dh), the calculated resultant pressure across the inner surface of the myocardium ( Dh-P) ( P=cavity pressure), the work W t related to the pressure ( Dh) and the work W d related to the pressure ( Dh-P). A relation between W t and W d and different parts of the area under the PVR is established. Indices derived in this manner from the PVR to study changes in myocardial contractility appear to have a clear physical meaning.
ISSN:0092-8240
1522-9602
DOI:10.1016/S0092-8240(89)80091-6