Analysis of a nonlinear diffusion problem with Michaelis-Menten kinetics by an integral equation method

DOI10.1007/BF02465184zbMath0498.92004OpenAlexW4241064566WikidataQ52434715 ScholiaQ52434715MaRDI QIDQ1171522

Shuhei Miyake, Nobuyoshi Tosaka

Publication date: 1982

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465184

zbMATH Keywords

nonlinear diffusionoxygen diffusionMichaelis-Menten oxygen uptake kinetics

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Numerical methods for integral equations (65R20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) General biology and biomathematics (92B05) Physiological, cellular and medical topics (92Cxx)

Related Items (3)

Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact methods ⋮ Diffusion regulated growth characteristics of a spherical prevascular carcinoma ⋮ On the analysis of oxygen diffusion and reaction in biological systems

Cites Work

• Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
• The plane circular elastic surface under normal pressure

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