
pmid: 4214094
Classical enzymology ignores the role which cellular membranes may play in regulating reaction kinetics in vivo. The correct description of cellular metabolic processes must derive from a mass balance equation for each reacting species. An elementary mathematical model, called the “continuous flow stirred tank reactor” in the chemical engineering literature, has been applied to Michaelis-Menten kinetics, substrate inhibition kinetics, and kinetics involving hydrogen ion as a hyproduct. A number of remarkable phenomena, including multiple stationary states, threshold effects, temporal patterns, homeostatic regulation, amplification, and irreversible differentiation can result. Predictions of the model are in qualitative accord with experimental and theoretical studies of insolubilized enzymes, which are conventionally modeled by a more difficult mathematical formalism.
Binding Sites, Cells, Cell Membrane, Hydrogen-Ion Concentration, Models, Biological, Enzymes, Diffusion, Kinetics, Solubility, Evaluation Studies as Topic, Methods, Homeostasis, Enzyme Inhibitors, Mathematics, Protein Binding
Binding Sites, Cells, Cell Membrane, Hydrogen-Ion Concentration, Models, Biological, Enzymes, Diffusion, Kinetics, Solubility, Evaluation Studies as Topic, Methods, Homeostasis, Enzyme Inhibitors, Mathematics, Protein Binding
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