Calculation of oxygen pressures in tissue with anisotropic capillary orientation. I: Two-dimensional analytical solution for arbitrary capillary characteristics

DOI10.1016/0025-5564(94)00049-6zbMath0827.92012OpenAlexW2124483174WikidataQ52331397 ScholiaQ52331397MaRDI QIDQ1899110

Louis Hoofd

Publication date: 4 October 1995

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

Full work available at URL: http://hdl.handle.net/2066/21615

zbMATH Keywords

oxygen transportcapillariesanisotropic tissuetwo-dimensional diffusioncapillary locationsfacilitated diffusion by myoglobinhomogeneous tissueKrogh-Erlang equationtissue oxygen pressure

Mathematics Subject Classification ID

Physiology (general) (92C30) Physiological flow (92C35)

Related Items (7)

Calculation of oxygen pressures in tissue with anisotropic capillary orientation. II: Coupling of two-dimensional planes ⋮ Modeling oxygen concentration in skeletal muscle ⋮ Re-evaluating the use of Voronoi tessellations in the assessment of oxygen supply from capillaries in muscle ⋮ A mathematical method for determining oxygen distribution in skeletal muscle with multiple capillaries and axial diffusion ⋮ Capillary supply regions ⋮ The role of counter-current exchange in preventing hypoxia in skeletal muscle ⋮ Substrate diffusion from an array of capillaries with co-current and counter-current flow

Cites Work

• Analysis of capillary-tissue diffusion in multicapillary systems
• A new mathematical approach for solving carrier-facilitated steady-state diffusion problems
• Unnamed Item

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