Mathematical modeling of oxygen transport near a tissue surface: effect of the surface PO2

Aleksander S. Popel

doi:10.1016/0025-5564(81)90097-3

Mathematical modeling of oxygen transport near a tissue surface: effect of the surface PO₂

Aleksander S. Popel

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The effect of the surface oxygen tension on the oxygen-tension distribution in the tissue is considered. A mathematical formulation of the problem is presented, and the solutions are obtained numerically using a finite-element method. It is shown that the oxygen tension at the surface of the tissue may significantly affect the oxygen-tension distribution in layers of tissue situated within several intercapillary distances below the surface.

Original language	English (US)
Pages (from-to)	231-246
Number of pages	16
Journal	Mathematical Biosciences
Volume	55
Issue number	3-4
DOIs	https://doi.org/10.1016/0025-5564(81)90097-3
State	Published - Aug 1981
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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title = "Mathematical modeling of oxygen transport near a tissue surface: effect of the surface PO2",

abstract = "The effect of the surface oxygen tension on the oxygen-tension distribution in the tissue is considered. A mathematical formulation of the problem is presented, and the solutions are obtained numerically using a finite-element method. It is shown that the oxygen tension at the surface of the tissue may significantly affect the oxygen-tension distribution in layers of tissue situated within several intercapillary distances below the surface.",

author = "Popel, {Aleksander S.}",

note = "Funding Information: The work was supported by the National Institutes of Health Grants HL-23342 and HL-I 7421. The author wishes to thank Dr. Bruce M. K&man for valuable discussions and comments.",

year = "1981",

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T2 - effect of the surface PO2

AU - Popel, Aleksander S.

N1 - Funding Information: The work was supported by the National Institutes of Health Grants HL-23342 and HL-I 7421. The author wishes to thank Dr. Bruce M. K&man for valuable discussions and comments.

PY - 1981/8

Y1 - 1981/8

N2 - The effect of the surface oxygen tension on the oxygen-tension distribution in the tissue is considered. A mathematical formulation of the problem is presented, and the solutions are obtained numerically using a finite-element method. It is shown that the oxygen tension at the surface of the tissue may significantly affect the oxygen-tension distribution in layers of tissue situated within several intercapillary distances below the surface.

AB - The effect of the surface oxygen tension on the oxygen-tension distribution in the tissue is considered. A mathematical formulation of the problem is presented, and the solutions are obtained numerically using a finite-element method. It is shown that the oxygen tension at the surface of the tissue may significantly affect the oxygen-tension distribution in layers of tissue situated within several intercapillary distances below the surface.

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DO - 10.1016/0025-5564(81)90097-3

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EP - 246

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 3-4

ER -

Mathematical modeling of oxygen transport near a tissue surface: effect of the surface PO₂

Abstract

ASJC Scopus subject areas

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