Mathematical modelling of dynamics and control in metabolic networks. III. Linear reaction sequences

doi:10.1016/S0022-5193(85)80226-5

Journal of Theoretical Biology

Volume 113, Issue 2, 21 March 1985, Pages 231-259

https://doi.org/10.1016/S0022-5193(85)80226-5 Get rights and content

Kinetics of linear sequences of enzymatic reactions converting a single substrate into a single product are examined with emphasis on obtaining the relationship between the individual kinetic parameters and overall dynamic behavior. Chains of reactions exhibiting irreversible Michaelis-Menten kinetics are examined via scaling, linearization and modal analysis. The modal analysis gives the conditions under which the quasi-steady state assumption is applicable for one reaction relative to another in such a reaction sequence. The linearized description permits characterization of the transient response in terms of temporal moments. The moments provide useful physical insight and also provide a basis for systematic model reduction.

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^‡: Present address: Department of Chemical Engineering, Dow Building, University of Michigan, Ann Arbor, Michigan 48109, U.S.A.

^§: Present address: Mẏndamȯt HF, Bolholt 6, Reykjavik, Iceland.

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Mathematical modelling of dynamics and control in metabolic networks. III. Linear reaction sequences

Bull. math. Biol.

Chem. Eng. Sci.

Arch. Biochem. Biophys.

J. theor. Biol.

J. theor. Biol.

J. theor. Biol.

Biochem. Med.

Cellular Energy Metabolism and its Regulation