Upscaling Diffusion Through First-Order Volumetric Sinks: A Homogenization of Bacterial Nutrient Uptake

DOI10.1137/17M1138625zbMath1392.35317OpenAlexW2787947494WikidataQ113779123 ScholiaQ113779123MaRDI QIDQ4640160

John R. King, Mohit P. Dalwadi, Nigel P. Minton, Yan-ming Wang

Publication date: 16 May 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1138625

zbMATH Keywords

multiscaledistinguished limitseffective uptakebacterial uptake

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Chemical kinetics in thermodynamics and heat transfer (80A30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Derivation of an effective thermal electrochemical model for porous electrode batteries using asymptotic homogenisation ⋮ A Systematic Upscaling of Nonlinear Chemical Uptake Within a Biofilm ⋮ An asymptotic analysis of the malonyl-CoA route to 3-hydroxypropionic acid in genetically engineered microbes ⋮ A multiscale quasilinear system for colloids deposition in porous media: weak solvability and numerical simulation of a near-clogging scenario ⋮ A Homogenized Model for a Reactive Filter

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