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A mathematical analysis of oxygen respiration in man

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Abstract

By means of physicomathematical models similar to those used by A. B. Chilton and R. W. Stacy (1952) formulas are obtained for the purpose of analyzing oxygen respiration in man under conditions of metabolic equilibrium. The formulas are applied to conditions involving a variety of physiological assumptions. Calculated quantities are shown to be in agreement with experimental values. A quantitative prediction is made of the fluctuation in alveolar oxygen tension over a single respiratory cycle. Finally, calculations are completed for all alveolar gases; and the over-all results are shown to be self-consistent to the degree expected in view of the simplifying approximations made.

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Literature

  • Chilton, A. B. and R. W. Stacy. 1952. “A Mathematical Analysis of Carbon Dioxide Respiration in Man”.Bull. Math. Biophysics,14, 1–18.

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  • Nims, L. F. 1949.A Textbook of Physiology. 16th Ed., Ed. J. F. Fulton. P. 803: Philadelphia: W. B. Saunders Co.

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  • Stacy, R. W., J. A. Hunter, and F. A. Hitchcock. 1948. “A Mass Spectrometer for the Rapid, Continuous Analysis of Respiratory Gases”.Fed. Proc. 1, March.

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Authors and Affiliations

  1. Departments of Physics, Physics, and Physiology, Respectively, Ohio State University, Ohio, USA

    Arthur B. Chilton, Delbert S. Barth & Ralph W. Stacy

Authors
  1. Arthur B. Chilton
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  2. Delbert S. Barth
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  3. Ralph W. Stacy
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Additional information

Commander, Civil Engineer Corps, U.S. Navy, attending Ohio State University under the sponsorship of the Office of Naval Research and the U.S. Naval Postgraduate School.

Captain, Chemical Corps, U.S. Army, attending Ohio State University under the supervision of the U.S. Naval Postgraduate School.

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Chilton, A.B., Barth, D.S. & Stacy, R.W. A mathematical analysis of oxygen respiration in man. Bulletin of Mathematical Biophysics 16, 1–14 (1954). https://doi.org/10.1007/BF02481808

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  • DOI: https://doi.org/10.1007/BF02481808

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