Effect of heterogeneous oxygen delivery on the oxygen distribution in skeletal muscle

Aleksander S Popel, C. K. Charny, A. S. Dvinsky

Research output: Contribution to journalArticle

Abstract

Calculations of the oxygen distribution in resting and contracting skeletal muscle are presented, based on a mathematical model and experimental data obtained on the hamster cremaster muscle [Klitzman et al., Microvasc. Res. 25:108-131 (1983)]. The model considers a slab of tissue penetrated by a regular square array of capillaries with concurrent flow. The intracapillary resistance to oxygen transport is neglected. The capillary red blood cell flux and capillary inlet oxygen tension are assumed random variables following certain probability distributions. The sensitivity of the tissue and intracapillary PO2 to variations of these probability distributions are investigated. The mean tissue PO2 decreases as the dispersion of the random variables increases, provided that their mean values remain constant. Hypoxic regions appear gradually, especially in the case of contracting muscle, as the dispersion increases. The effect of the number of capillaries in the sample on the resultant distribution of oxygen is studied systematically. The calculated tissue PO2 histograms are compared with previously reported PO2 distributions obtained experimentally for resting and contracting skeletal muscle.

Original languageEnglish (US)
Pages (from-to)91-113
Number of pages23
JournalMathematical Biosciences
Volume81
Issue number1
DOIs
StatePublished - 1986

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Skeletal muscle
Muscle
skeletal muscle
Oxygen
Skeletal Muscle
muscle
Tissue
oxygen
probability distribution
Random variables
Probability distributions
Probability Distribution
Random variable
Abdominal Muscles
muscles
Red Blood Cells
slabs
hamsters
Cricetinae
Mean Value

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Ecology, Evolution, Behavior and Systematics

Cite this

Effect of heterogeneous oxygen delivery on the oxygen distribution in skeletal muscle. / Popel, Aleksander S; Charny, C. K.; Dvinsky, A. S.

In: Mathematical Biosciences, Vol. 81, No. 1, 1986, p. 91-113.

Research output: Contribution to journalArticle

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