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The\(\dot V_A /\dot Q\) resolution of inert gas dataresolution of inert gas data

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Abstract

The non-uniqueness of\(\dot V_A /\dot Q\) distributions satisfying inert gas retention data without error is studied. The ability of such data to resolve blood flows at particular\(\dot V_A /\dot Q\) values is discussed through the application of linear programming and Backus-Gilbert theory. It is shown that the resolution deteriorates away from the extremes of low and high\(\dot V_A /\dot Q\).

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Literature

  • Backus, G. and F. Gilbert. 1968. “The Resolving Power of Gross Earth Data.”Geophys. J. R. Astr. Soc. 16, 169–205.

    MATH  Google Scholar 

  • Bellman, R., R. E. Kalaba and J. Lockett. 1966.Numerical Inversion of the Laplace Transform. New York: Elsevier.

    MATH  Google Scholar 

  • Evans, J. W. and P. D. Wagner. 1976. “Analytical Method for Deriving\(\dot V_A /\dot Q\) Distributions from Multiple Inert Gas Elimination,” in preparation.

  • Farhi, L. E. 1967. “Elimination of Inert Gas by the Lung.”Respir. Physiol. 3, 1–11.

    Article  Google Scholar 

  • Gass, S. I. 1975.Linear Programming Methods and Applications. 4th edn. New York: McGraw-Hill.

    MATH  Google Scholar 

  • Hlastala, M. P. and B. D'Aoust. 1975. “Effect of Pressure and Decompression on the Distribution of Ventilation to Perfusion Ratio in the Lung.”Sixth Symp. Underwater Physiology, abstr.

  • Jaliwala, S. A., R. E. Mates and F. J. Klocke. 1975. “An Efficient Optimization Technique for Recovering Ventilation-Perfusion Distributions from Inert Gas Data.”J. Clin Invest. 55, 188–192.

    Google Scholar 

  • Olszowska, A. J. 1975. “Can\(\dot V_A /\dot Q\) Distributions in the Lung be Recovered from Inert Gas Retention Data?”Respir. Physiol. 25, 191–198.

    Article  Google Scholar 

  • Parker, R. L. 1972. “Inverse Theory with Grossly Inadequate Data.”Geophys. J. R. Astr. Soc. 29, 123–138.

    Google Scholar 

  • Wagner, P. D., H. A. Saltzman and J. B. West. 1974a “Measurement of Continuous Distributions of Ventilation-Perfusion Ratios: Theory.”J. Appl. Physiol. 36, 588–599.

    Google Scholar 

  • —, R. B. Laravuso, R. R. Uhl and J. B. West. 1974b. “Continuous Distributions of Ventilation-Perfusion Ratios in Normal Subjects Breathing Air and 100% O2.”J. Clin. Invest. 54, 54–68.

    Article  Google Scholar 

  • — 1975. in Letters to the Editor.J. Appl. Physiol. 38, 952–953.

    Google Scholar 

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Authors and Affiliations

  1. Scripps Institution of Oceanography, University of California, San Diego, 92093, La Jolla, California, U.S.A.

    R. S. Howard & H. Bradner

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  1. R. S. Howard
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  2. H. Bradner
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Howard, R.S., Bradner, H. The\(\dot V_A /\dot Q\) resolution of inert gas dataresolution of inert gas data. Bltn Mathcal Biology 39, 87–98 (1977). https://doi.org/10.1007/BF02460683

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  • DOI: https://doi.org/10.1007/BF02460683

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