- Nam Sun Wang
- Department of Chemical Engineering
- University of Maryland
- College Park, MD 20742-2111
- 301-405-1910 (voice)
- 301-314-9126 (FAX)
e-mail: nsw@eng.umd.edu
©1996-1998 by Nam Sun Wang
- Department of Chemical Engineering
Problem Statement: Consider the following enzyme reaction mechanism:
k1 k2
E + S <------> ES ------> E + P
k-1
where the initial rate constants are: k1=10,
k-1=10, and k2=1. The enzyme
deactivates exponentially with a time constant of 1 time
unit.
E(t) = E0exp(-t)
Initially charge the bioreactor with an equal amount of
enzyme and substrate of 1 unit each. Find the time at which the
substrate concentration in the reactor drops to one half of the
initial charge.
Solution:
This is the same as in Michaelis-Menten
kinetics, except for the time-dependent enzyme activity due
to enzyme deactivation.
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