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Literature DB >> 28943659

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.

Entities: Chemical

Year: 1981 PMID： 28943659 PMCID： PMC5609725 DOI： 10.1016/0025-5564(81)90097-3

Source DB: PubMed Journal: Math Biosci ISSN： 0025-5564 Impact factor: 2.144

12 in total

1. The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue.

Authors: A Krogh
Journal: J Physiol Date: 1919-05-20 Impact factor: 5.182

2. The effect of oxygen on arteriolar red cell velocity and capillary density in the rat cremaster muscle.

Authors: R L Prewitt; P C Johnson
Journal: Microvasc Res Date: 1976-07 Impact factor: 3.514

3. Capillary velocity and tissue PO2 changes during reactive hyperemia in skeletal muscle.

Authors: R E Klabunde; P C Johnson
Journal: Am J Physiol Date: 1977-09

4. Dependence of reactive hyperemia in skeletal muscle on oxygen tension.

Authors: R F Tuma; L Lindbom; K E Arfors
Journal: Am J Physiol Date: 1977-08

Review 5. Capillary structures and O 2 supply to tissue. An analysis with a digital diffusion model as applied to the skeletal muscle.

Authors: W A Grunewald; W Sowa
Journal: Rev Physiol Biochem Pharmacol Date: 1977 Impact factor: 5.545

6. Oxygen transport in the human brain: analytical solutions.

Authors: R R Stewart; C A Morrazzi
Journal: Adv Exp Med Biol Date: 1973 Impact factor: 2.622

7. A simplified model of the oxygen supply function of capillary blood flow.

Authors: W A Hyman
Journal: Adv Exp Med Biol Date: 1973 Impact factor: 2.622

8. Longitudinal gradients in periarteriolar oxygen tension. A possible mechanism for the participation of oxygen in local regulation of blood flow.

Authors: B R Duling; R M Berne
Journal: Circ Res Date: 1970-11 Impact factor: 17.367

3. Significance of K(ATP) channels, L-type Ca²⁺ channels and CYP450-4A enzymes in oxygen sensing in mouse cremaster muscle arterioles in vivo.

Authors: Anh Thuc Ngo; Mads Riemann; Niels-Henrik Holstein-Rathlou; Christian Torp-Pedersen; Lars Jørn Jensen
Journal: BMC Physiol Date: 2013-05-12

3 in total