Derivation of an effective model for metabolic processes in living cells including substrate channeling

DOI10.1007/s10013-016-0227-6zbMath1371.35154OpenAlexW2521721270MaRDI QIDQ2360088

Peter Knabner, Maria Neuss-Radu, Markus Gahn

Publication date: 23 June 2017

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-016-0227-6

zbMATH Keywords

homogenizationsystems of reaction-diffusion equationscarbon metabolismkinetics for multi-species enzymatic reactionsmetabolic channelingnonlinear flux-conditions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Homogenization for problems in thermodynamics and heat transfer (80M40) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (7)

Homogenization of a reaction-diffusion-advection problem in an evolving micro-domain and including nonlinear boundary conditions ⋮ Efficient numerical solution of micro–macro models for multicomponent transport and reaction problems in porous media ⋮ Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion ⋮ Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model ⋮ Homogenization of Reaction--Diffusion Processes in a Two-Component Porous Medium with Nonlinear Flux Conditions at the Interface ⋮ Homogenization results for a coupled system of reaction-diffusion equations ⋮ Homogenization of a mineral dissolution and precipitation model involving free boundaries at the micro scale

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