Rigorous derivation of Michaelis-Menten kinetics in the presence of slow diffusion

DOI10.1137/23m1579406zbMath1547.35043MaRDI QIDQ6598479

Bao Quoc Tang, Bao-Ngoc Tran

Publication date: 5 September 2024

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

cross-diffusionMichaelis-Menten kineticsenzyme reactionsmodified energy methodimproved duality method

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Initial-boundary value problems for second-order parabolic systems (35K51)

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