Analysis of capillary-tissue diffusion in multicapillary systems

DOI10.1016/0025-5564(78)90053-6zbMath0402.92011OpenAlexW2055255996WikidataQ41700781 ScholiaQ41700781MaRDI QIDQ1255906

Aleksander S. Popel

Publication date: 1978

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

Full work available at URL: http://europepmc.org/articles/pmc5609729

zbMATH Keywords

Ordinary Differential EquationsMass TransportCapillary InteractionsCapillary-Tissue DiffusionMulticapillary SystemsNeumann-Type Boundary-Value Problem

Mathematics Subject Classification ID

Physiological flows (76Z05) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx)

Related Items (8)

Effect of heterogeneous oxygen delivery on the oxygen distribution in skeletal muscle ⋮ Calculation of oxygen pressures in tissue with anisotropic capillary orientation. I: Two-dimensional analytical solution for arbitrary capillary characteristics ⋮ Modeling oxygen concentration in skeletal muscle ⋮ Oxygen diffusion from capillary layers with concurrent flow ⋮ Mathematical modelling of oxygen transport near a tissue surface: Effect of the surface \(PO_ 2\). ⋮ Boundary value problems in microcirculatory physiology ⋮ A mathematical method for determining oxygen distribution in skeletal muscle with multiple capillaries and axial diffusion ⋮ A Green's function method for analysis of oxygen delivery to tissue by microvascular networks

Cites Work

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