10.34 Quiz 2
November 15, 2006
An isomerase (an enzyme that catalyzes an isomerization reaction) is used to convert a
cheap unpalatable substrate S into its isomer, a delicious highvalue product P called
fructose (used to make soft drinks and candy).
The enzyme reaction is expected to follow the MichaelisMenton rate law:
[
]
[
]
[
]
[ ]
sec
eq
E
m
m
P
S
K
moles S
P
R
n V
K
S
⎛
⎞
−
⎜
⎟
→
⎜
⎟
=
=
⎜
⎟
+
⎜
⎟
⎝
⎠
Eq.(1)
where V
m
and K
m
depend on the enzyme, and K
eq
is for the equilibrium S=P, and n
E
is
the moles of enzyme in the reactor.
Note that throughout the isomerization process [S]+[P] = constant. We therefore suggest
you use the dimensionless concentration C = [Substrate]/[Substrate]
o
rather than
tracking S and P separately.
1)
Simulate the batch conversion of S into P by writing a couple of short Matlab
functions. Your Matlab functions should take [S]
o
, n
E
, V, Km, and Keq as inputs. Feel
free to call any builtin Matlab functions.
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 Fall '04
 ClarkColton
 Numerical Analysis, Enzyme, Reaction, Numerical Methods Applied

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