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Feedback Control in Systems Biology
book

Feedback Control in Systems Biology

by Carlo Cosentino, Declan Bates
October 2011
Intermediate to advanced content levelIntermediate to advanced
296 pages
9h 39m
English
CRC Press
Content preview from Feedback Control in Systems Biology
130 Feedback Control in Systems Biology
0 5 10 15 20
10
−1
10
0
Frequency (rad/sec)
|S|
+
FIGURE 4.10: Illustration of the area formula
then for ω ω
1
|S|
1
1 |L|
<
1
1 ω
2
=
ω
2
ω
2
1
and hence
Z
ω
1
log|S()|
Z
ω
1
log
ω
2
ω
2
1
The integral on the rig ht-hand side of the above equation is finite, [6, 5], and
so the availa ble positive area a t frequencies above ω
1
is limited. Thus, if |S|
becomes smaller and smaller over some part o f the fr equency range from zero
to ω
1
, then the required positive area must eventually be g enerated by making
|S| lar ge at some other frequencie s below ω
1
.
In this sectio n, we have provided only a few simple examples of the many ...
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Publisher Resources

ISBN: 9781439816912