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Mobility, permeability, and the pseudo-steady-state hypothesis

Authors
Journal
Mathematical Biosciences
0025-5564
Publisher
Elsevier
Publication Date
Volume
13
Identifiers
DOI: 10.1016/0025-5564(72)90019-3
Disciplines
  • Biology

Abstract

Abstract The pseudo-steady-state hypothesis that allows a simple kinetic law, such as the Michaelis-Menten, to be derived from a more detailed mechanism can be obtained by assuming either that the enzyme is only present in a very small quantity or that it is immobile. If the enzyme is free to diffuse in a region, but not to permeate its boundaries, then the pseudo-steady-state relation is satisfied in the mean and the region as a whole acts as a distributed catalyst. The interrelationship of these assumptions is illustrated by the Michaelis-Menten kinetics, proved for the general reaction and shown in detail for the linear case A→B→C.

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