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Theory of the kinetics of reactions catalyzed by enzymes attached to the interior surfaces of tubes
Author(s) -
Koyayashi Takeshi,
Laidler Keith J.
Publication year - 1974
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260160108
Subject(s) - substrate (aquarium) , kinetics , product inhibition , chemistry , michaelis–menten kinetics , non competitive inhibition , catalysis , tube (container) , enzyme , product (mathematics) , enzyme kinetics , kinetic energy , reaction rate , thermodynamics , stereochemistry , materials science , organic chemistry , enzyme assay , mathematics , active site , physics , geometry , biology , composite material , classical mechanics , ecology
A theoretical treatment is given of the kinetics of reactions catalyzed by enzymes attached to the inner surface of a tube, through which the substrate solution passes. A utilization factor, the ratio of the actual reaction rate to that in the absence of diffusional effects, is defined. A numerical procedure is proposed and numerical and approximate solutions for the utilization factor are given for five kinetic conditions: (a) Michaelis‐Menten behavior, (b) substrate inhibition, (c) product inhibition (competitive), (d) product, inhibition (non‐competitive), and (e) product inhibition (anticompetitive). When the enzyme chemically attached to a tube obeys a Michaelis‐Menten relationship, criteria for insignificant and significant diffusional effects are proposed.