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The measurement of blood pressure

Published online by Cambridge University Press:  17 February 2009

J. C. Patterson  and
J. M. Fitz-Gerald
J. C. Patterson
Affiliation:
Department of Mathematics, University of Queensland, St. Lucia, QLD. Australia.
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Abstract

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In this paper, the procedure of the clinical measurement of blood pressure is modelled by the application of a uniform pressure band to a long, homogeneous, isotropic cylinder. The deformations are assumed to be infinitesimal, and transform methods are used to analyse the resulting equations. The inversion of the resulting transforms is carried out numerically. It is shown that, in spite of the fairly crude assumptions of the model, the actual load on the artery may be markedly different from that applied to the surface, leading to inaccuracies in the measured blood pressure. The parameter of importance is shown to be the ratio of pressure band width to arm diameter.

Type
Research Article
Information
The ANZIAM Journal , Volume 19 , Issue 1 , June 1975 , pp. 55 - 65
Copyright
Copyright © Australian Mathematical Society 1975

References

[1]Anliker, M. and Raman, K. R., “Korotkoff sounds at diastole—a phenomenon of dynamic instability of fluid-filled shells”, Int. J. Solids Structures, 2 (1966), 467–491.Google Scholar
[2]Bennet, L., Discussion in Perspectives in Biomedical Engineering, Proceedings of a Symposium at the University of Strathclyde (Ed. by Kenedi, R. M.), MacMillan Press Ltd., London (1973), 224–227.Google Scholar
[3]Filon, L. N. G., “On the elastic equilibrium of circular cylinders under certain practical system of load”, Philos. Trans. Roy. Soc. Lond. Sec. A 198 (1902), 147–233.Google Scholar
[4]Sneddon, I. N., Fourier Transforms, McGraw-Hill, New York (1951).Google Scholar
[5]Tranter, C. J. and Craggs, J. W., “The stress distribution in a long circular cylinder when a discontinuous pressure is applied to the curved surface”, Philos. Mag., 36 (1945), 241–250.CrossRefGoogle Scholar