Substrate diffusion from an array of capillaries with co-current and counter-current flow

DOI10.1016/j.mcm.2005.05.012zbMath1122.92021OpenAlexW1980710929MaRDI QIDQ815293

Miranda I. Teboh-Ewungkem, Eric P. Salathé

Publication date: 16 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.05.012

zbMATH Keywords

transportmicrocirculationmulticapillary

Mathematics Subject Classification ID

Diffusion (76R50) Physiological flows (76Z05) Physiological flow (92C35)

Cites Work

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• Modeling substrate concentration in skeletal muscle
• Effect of heterogeneous oxygen delivery on the oxygen distribution in skeletal muscle
• Substrate concentrations in tissue surrounding single capillaries
• Mathematical analysis of oxygen transport to tissue
• Mathematical modeling of oxygen transport in skeletal muscle
• The role of myoglobin in retarding oxygen depletion in skeletal muscle
• A Green's function method for analysis of oxygen delivery to tissue by microvascular networks
• A model for substrate concentrations in tissue surrounding single capillaries
• Modeling oxygen concentration in skeletal muscle
• Mathematical analysis of oxygen concentration in a two dimensional array of capillaries
• Calculation of oxygen pressures in tissue with anisotropic capillary orientation. I: Two-dimensional analytical solution for arbitrary capillary characteristics
• Calculation of oxygen pressures in tissue with anisotropic capillary orientation. II: Coupling of two-dimensional planes

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