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

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Abstract

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 theP-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 workW t related to the pressure (Dh) and the workW d related to the pressure (Dh-P). A relation betweenW t andW 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.

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Author notes

  1. Rachad M. Shoucri

    Present address: Quebec Heart Institute, Quebec, Canada

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Royal Military College of Canada, K7K 5LO, Kingston, Ontario, Canada

    Rachad M. Shoucri

  2. Centre de Recherches, Hôpital Laval, 2725, Chemin Ste-Foy, G1V 4G5, Ste-Foy, Québec, Canada

    Jacques R. Rouleau, John G. Kingma Jr, Jean G. Dumesnil & Gilles R. Dagenais

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  1. Rachad M. Shoucri
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  2. Jacques R. Rouleau
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  3. John G. Kingma Jr
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  4. Jean G. Dumesnil
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  5. Gilles R. Dagenais
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Shoucri, R.M., Rouleau, J.R., Kingma, J.G. et al. Some applications of theP-V relation to the study of left ventricular performance. Bltn Mathcal Biology 51, 475–484 (1989). https://doi.org/10.1007/BF02460085

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  • DOI: https://doi.org/10.1007/BF02460085

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