Mathematical analysis of enzyme-substrate reaction diffusion in some biochemical systems

DOI10.1016/0362-546X(80)90061-9zbMath0431.92014MaRDI QIDQ3869123

C. V. Pao

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesscomparison theoremupper and lower solutionssteady-state solutionsbiochemical systemsmonotone methodestimates of stability regionsBriggs-Haldane approximationsenzyme-substrate reaction diffusionMichaelis-Menten hypothesis

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35) Initial-boundary value problems for second-order parabolic equations (35K20) Physiological, cellular and medical topics (92Cxx)

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Cites Work

• Asymptotic stability of a coupled diffusion system arising from gas- liquid reactions
• Numerical analysis and control of some biochemical systems
• Positive solutions of a nonlinear boundary-value problem of parabolic type
• Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type
• A remark on the preceding paper of Amann
• On the Asymptotic Behavior of Solutions of Semilinear Parabolic Equations
• Convective Diffusion of an Enzyme Reaction
• On the spectrum of general second order operators
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