Derivation of an Effective Model for Metabolic Processes in Living Cells Including Substrate Channeling

Gahn M, Neuss-Radu M, Knabner P (2017)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2017

Journal

Vietnam Journal of Mathematics Springer

Publisher: Springer Singapore

Book Volume: 45

Pages Range: 265-293

URI: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_GahnNeussraduKn_DerivationOfAnEffectiveModelForMetaProcSubstrateChanneling

DOI: 10.1007/s10013-016-0227-6

Abstract

A system of reaction-diffusion equations in a multi-component medium with nonlinear flux-conditions and additional reaction-diffusion equations on the interfaces is considered.  The model is motivated by metabolic processes in living cells. Especially, we are interested in modeling the central carbon metabolism in plant cells, with particular emphasis on metabolite channeling.
The nonlinear reaction terms arising in the equations and boundary conditions are described by structural conditions, which are fulfilled by the kinetics of multi-species enzymatic reactions encountered in cellular metabolism.
Starting from a mathematical model at subcellular level, where cellular structures like organelles are resolved, we derive an effective approximations for the cellular processes, by letting the scale parameter given by the ratio between the size of organelles and that of the cell going to zero. To show convergence of the nonlinear terms, we use homogenization concepts developed in \cite{Gahn}, based on estimates for the shifting operator for Banach-space-valued functions.

Authors with CRIS profile

Maria Neuß Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik) Peter Knabner Lehrstuhl für Angewandte Mathematik (Modellierung und Numerik)

Involved external institutions

Hasselt University / Universiteit Hasselt BE Belgium (BE)

How to cite

APA:

Gahn, M., Neuss-Radu, M., & Knabner, P. (2017). Derivation of an Effective Model for Metabolic Processes in Living Cells Including Substrate Channeling. Vietnam Journal of Mathematics, 45, 265-293. https://doi.org/10.1007/s10013-016-0227-6

MLA:

Gahn, Markus, Maria Neuss-Radu, and Peter Knabner. "Derivation of an Effective Model for Metabolic Processes in Living Cells Including Substrate Channeling." Vietnam Journal of Mathematics 45 (2017): 265-293.

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