Skip to Main Content
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
52 Feedback Control in Systems Biology
Indeed, the latter has two r eal po les (ζ > 1), and thus exhibits a limited initial
overshoot, a fast initial rise (due to the pole with small time c onstant) and a
slow decay (caused by the large time consta nt assoc iated with the other real
pole).
The identified mode l can be translated into the state-space canonical form
˙x
1
˙x
2
=
0 ω
2
n
1 2ζω
n

x
1
x
2
+
0
2
n
u (2.46a)
y = x
2
(2.46b)
Since the second state variable coincides with the obser vable output of the
system, it ca n be readily associated with a physical quantity of the proce ss
(the level of Hog1 a ctivity), and thus it is convenient to leave it unchanged.
However, the hidden state variable x
1
can be arbitrarily substituted with a
new one, denoted by
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Mathematical Models for Society and Biology, 2nd Edition

Mathematical Models for Society and Biology, 2nd Edition

Edward Beltrami

Publisher Resources

ISBN: 9781439816912