Biomedical Engineering Reference
In-Depth Information
We obtain the kinetics of production of [ P ]
ì
-
k t
-
k t
ü
ï
k e
I
-
k e
A
ï
A
I
P I
[ ]
=
1
+
[
A
]
(7.18)
í
ý
0
k
-
k
ï
ï
î
I
A
þ
Concentrations in [ A ], [ I ], and [ P ] are sketched in Figure 7.14.
This example corresponds to the decay of radioactive elements, such as for
example the reaction
239
239
239
U
®
Np
®
Pu
7.3.2  Michaelis Menten Model
7.3.2.1 Presentation of the Model
Now, we can tackle a very important group of reactions in biotechnology which
are the enzymatic reactions. Enzymatic reactions are of utmost importance in bio-
technology for two reasons: first, they are used to break proteins into smaller pieces
called peptides that can be analyzed by a mass spectrometer; second they are a pow-
erful method for amplifying detection in biorecognition processes. In fact, enzymes
are only catalyst for the reaction. In an enzyme-catalyst reaction, a substrate is con-
verted into products and the reaction rate depends on enzyme concentration.
The catalyst driven reaction can be written by the symbolic expression
E S
+ « ® +
ES
P E
(7.19)
Figure 7.14  Concentrations of A , I , and P as a function of time.
 
 
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