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A simple mathematical derivation of the stewart-hamilton formula for the determination of cardiac output

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Abstract

A derivation of the Stewart-Hamilton formula is presented which is applicable to all the most usual cardiac output measurement techniques and also to the determination of regional blood flow.

Sommaire

L'article présente une dérivation de la formule de Stewart-Hamilton qui est applicable à toutes les techniques de mesure de débit cardiaque les plus usuelles, ainsi qu'à la détermination de débits locaux.

Zusammenfassung

Eine Ableitung der Stewart-Hamilton Formel wird gegeben, die auf alle üblichen Methoden der Bestimmung der Herzförderleistung und auch des regionalen Blutflusses anwendbar ist.

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References

  • Grodins, F. (1962) Basic concepts in the determination of vascular volumes by indicator-dilution methods.Circulation Res. 10 (2), 429–446.

    Google Scholar 

  • Kinsman, J. M., Moore, J. W. andHamilton, W. F. (1929) Studies on the circulation. I. Injection method: physical and mathematical considerations.Am. J. Physiol. 89, 322–330.

    Google Scholar 

  • Meier, P. andZierler, K. L. (1954) On the theory of the indicator—dilution method for measurement of blood flow and volume.J. appl. Physiol. 6, 731–744.

    Google Scholar 

  • Osgood, W. F. (1935)Functions of Real Variables. 262 pp (see Chapter V, p. 144, Corollary to Theorem 5) Chelsea Publ. Co., New York, N.Y., U.S.A.

    MATH  Google Scholar 

  • Palmer, C. I. andMiser, W. L. (1928)College Algebra. 377 pp. (see Chapter XVIII, p. 259, Corollary II to Theorem II) McGraw-Hill, New York, N.Y., U.S.A.

    MATH  Google Scholar 

  • Symposium on use of indicator—dilution technics in the study of the circulation. (1962)Circulation Res. 10, (2).

  • Stephenson, J. L. (1958) Theory of measurement of blood flow by dye dilution technique.IRE Trans. Med. Electron. PGME-12, 82–88.

    Article  Google Scholar 

  • Stewart, G. N. (1921) The output of the heart in dogs.Am. J. Physiol. 57, 27–50.

    Google Scholar 

  • Zierler, K. L. (1962a) Circulation times and the theory of indicator dilution methods for determining blood flow and volume.Handbook of Physiology, Vol. 1, Sec. 18, Washington, D.C., American Physiology Society.

    Google Scholar 

  • Zierler, K. L. (1962b) Theoretical basis of indicator-dilution methods for measuring flow and volume.Circulation Res. 10 (2), 393–407.

    Google Scholar 

  • Zierler, K. L. (1963) Theory of use of indicators to measure blood flow and extracellular volume and calculation of transcapillary movement of tracers.Circulation Res. 12 (2), 464–471.

    Google Scholar 

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Authors and Affiliations

  1. Department of Physiology, Section of Biomedical Engineering, Baylor University College of Medicine, 77025, Houston, Texas, U.S.A.

    M. E. Valentinuzzi, L. A. Geddes & L. E. Baker

Authors
  1. M. E. Valentinuzzi
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  2. L. A. Geddes
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  3. L. E. Baker
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Valentinuzzi, M.E., Geddes, L.A. & Baker, L.E. A simple mathematical derivation of the stewart-hamilton formula for the determination of cardiac output. Med. & biol. Engng. 7, 277–282 (1969). https://doi.org/10.1007/BF02474767

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  • DOI: https://doi.org/10.1007/BF02474767

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