Mathematical analysis of oxygen transport to tissue

DOI10.1016/0025-5564(80)90092-9zbMath0449.92010OpenAlexW2084131589MaRDI QIDQ1147646

Tseng-Chan Wang, Joseph F. Gross, Eric P. Salathé

Publication date: 1980

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(80)90092-9

zbMATH Keywords

method of matched expansionstissueKrogh cylinderlinear oxyhaemoglobin relationshipsteady state oxygen transfer

Mathematics Subject Classification ID

Physiological flows (76Z05) Numerical methods for partial differential equations, boundary value problems (65N99) Physiological, cellular and medical topics (92Cxx)

Related Items (10)

Effect of heterogeneous oxygen delivery on the oxygen distribution in skeletal muscle ⋮ Analysis of transcapillary osmotic transients following exercise or burn injury ⋮ An analytical model for oxygen transport in tissue capillaries in a hyperbaric environment with first order metabolic consumption ⋮ The simulation of oxygen diffusion following occlusion ⋮ Mathematical modelling of oxygen transport near a tissue surface: Effect of the surface \(PO_ 2\). ⋮ Mathematical analysis of carbon dioxide transport by blood ⋮ Boundary value problems in microcirculatory physiology ⋮ Unnamed Item ⋮ The development of anoxia following occlusion ⋮ Substrate diffusion from an array of capillaries with co-current and counter-current flow

Cites Work

• Substrate concentrations in tissue surrounding single capillaries
• Unnamed Item
• Unnamed Item

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