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. 1980 Mar;29(3):437–458. doi: 10.1016/S0006-3495(80)85145-9

On facilitated oxygen diffusion in muscle tissues.

J E Fletcher
PMCID: PMC1328679  PMID: 7295866

Abstract

The role of myoglobin in facilitated diffusion of oxygen in muscle in examined in a tissue model that utilizes a central supplying capillary and a tissue cylinder concentric with the central capillary, and that includes the nonlinear characteristics of the oxygen-hemoglobin dissociation reaction. In contrast to previous work, this model exhibits the effect of blood flow and a realistic, though ideal, tissue-capillary geometry. Solutions of the model equations are obtained by a singular-perturbation technique, and numerical results are discussed for model parameters of physiologic interest. In contrast to the findings of Murray, Rubinow, Taylor, and others, fractional order perturbation terms obtained for the "boundary-layer" regions near the supplying capillaries are quite significant in the overall interpretation of the modeling results. Some closed solutions are found for special cases, and these are contrasted with the full singular-perturbation solution. Interpretations are given for parameters of physiologic interest.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Jacquez J. A., Kutchai H., Daniels E. Hemoglobin-facilitated diffusion of oxygen: interfacial and thickness effects. Respir Physiol. 1972 Jun;15(2):166–181. doi: 10.1016/0034-5687(72)90096-5. [DOI] [PubMed] [Google Scholar]
  2. KLUG A., KREUZER F., ROUGHTON F. J. Simultaneous diffusion and chemical reaction in thin layers of haemoglobin solution. Proc R Soc Lond B Biol Sci. 1956 Aug 28;145(921):452–472. doi: 10.1098/rspb.1956.0056. [DOI] [PubMed] [Google Scholar]
  3. Kreuzer F., Hoofd L. J. Facilitated diffusion of oxygen in the presence of hemoglobin. Respir Physiol. 1970 Mar;8(3):280–302. doi: 10.1016/0034-5687(70)90037-x. [DOI] [PubMed] [Google Scholar]
  4. Krogh A. The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J Physiol. 1919 May 20;52(6):409–415. doi: 10.1113/jphysiol.1919.sp001839. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Kutchai H., Jacquez J. A., Mather F. J. Nonequilibrium facilitated oxygen transport in hemoglobin solution. Biophys J. 1970 Jan;10(1):38–54. doi: 10.1016/S0006-3495(70)86284-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Murray J. D. On the molecular mechanism of facilitated oxygen diffusion by haemoglobin and myoglobin. Proc R Soc Lond B Biol Sci. 1971 Jun 15;178(1050):95–110. doi: 10.1098/rspb.1971.0054. [DOI] [PubMed] [Google Scholar]
  7. Murray J. D. On the role of myoglobin in muscle respiration. J Theor Biol. 1974 Sep;47(1):115–126. doi: 10.1016/0022-5193(74)90102-7. [DOI] [PubMed] [Google Scholar]
  8. Plyley M. J., Groom A. C. Geometrical distribution of capillaries in mammalian striated muscle. Am J Physiol. 1975 May;228(5):1376–1383. doi: 10.1152/ajplegacy.1975.228.5.1376. [DOI] [PubMed] [Google Scholar]
  9. Plyley M. J., Sutherland G. J., Groom A. C. Geometry of the capillary network in skeletal muscle. Microvasc Res. 1976 Mar;11(2):161–173. doi: 10.1016/0026-2862(76)90048-0. [DOI] [PubMed] [Google Scholar]
  10. Riveros-Moreno V., Wittenberg J. B. The self-diffusion coefficients of myoglobin and hemoglobin in concentrated solutions. J Biol Chem. 1972 Feb 10;247(3):895–901. [PubMed] [Google Scholar]
  11. Rubinow S. I., Dembo M. The facilitated diffusion of oxygen by hemoglobin and myoglobin. Biophys J. 1977 Apr;18(1):29–42. doi: 10.1016/S0006-3495(77)85594-X. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. SCHOLANDER P. F. Oxygen transport through hemoglobin solutions. Science. 1960 Feb 26;131(3400):585–590. doi: 10.1126/science.131.3400.585. [DOI] [PubMed] [Google Scholar]
  13. Taylor B. A., Murray J. D. Effect of the rate of oxygen consumption on muscle respiration. J Math Biol. 1977 Feb 28;4(1):1–20. doi: 10.1007/BF00276348. [DOI] [PubMed] [Google Scholar]
  14. Wittenberg B. A., Wittenberg J. B., Caldwell P. R. Role of myoglobin in the oxygen supply to red skeletal muscle. J Biol Chem. 1975 Dec 10;250(23):9038–9043. [PubMed] [Google Scholar]
  15. Wittenberg J. B. Myoglobin-facilitated oxygen diffusion: role of myoglobin in oxygen entry into muscle. Physiol Rev. 1970 Oct;50(4):559–636. doi: 10.1152/physrev.1970.50.4.559. [DOI] [PubMed] [Google Scholar]
  16. Wyman J. Facilitated diffusion and the possible role of myoglobin as a transport mechanism. J Biol Chem. 1966 Jan 10;241(1):115–121. [PubMed] [Google Scholar]
  17. van Ouwerkerk H. J. Facilitated diffusion in a tissue cylinder with an anoxic region. Pflugers Arch. 1977;372(3):221–230. doi: 10.1007/BF01063856. [DOI] [PubMed] [Google Scholar]

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