The physiological role of myoglobin: More than a problem in reaction- diffusion kinetics

DOI10.1016/0025-5564(84)90074-9zbMath0532.92011OpenAlexW2015065438MaRDI QIDQ789341

John A. Jacquez

Publication date: 1984

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

Full work available at URL: http://hdl.handle.net/2027.42/24916

zbMATH Keywords

membranesreviewmyoglobindiffusion of oxygenhemoglobinoxygen delivery to musclesreaction-diffusion kineticssteady state system

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Physiological, cellular and medical topics (92Cxx)

Related Items (8)

An analysis of carrier-facilitated transport through thin films of hemoglobin and myoglobin ⋮ Transfer between free and combined oxygen flows in determining facilitated transport with membranes on the transport path ⋮ Parameter dependence of myoglobin-facilitated transport of oxygen in the presence of membranes ⋮ The effects of chemical kinetics on oxygen delivery to tissue ⋮ Extending the multiple indicator dilution method to include slow intracellular diffusion ⋮ The role of myoglobin in retarding oxygen depletion in skeletal muscle ⋮ A mathematical analysis of carrier-facilitated diffusion ⋮ Mathematical modeling of myoglobin facilitated transport of oxygen in devices containing myoglobin-expressing cells

Cites Work

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• An analysis of facilitated-diffusion problems
• Transport of oxygen in solutions of hemoglobin and myoglobin
• Transient effects on the initial rate of oxygenation of red blood cells
• Factors defining the rate of oxygen uptake by the red blood cell
• Effect of the rate of oxygen consumption on muscle respiration
• Mathematical modeling of the microcirculation
• A new mathematical approach for solving carrier-facilitated steady-state diffusion problems

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