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
Linear systems 57
normalised mode l, α is a quantity proportional to the probability of internal-
isation of unbound rece ptors, β is a quantity proportional to the probability
of interna lisation of captured ligand by receptors be fore dissociatio n of the
ligand from the receptors, and γ repre sents the level o f sensitivity o f the re-
ceptors to the external signals [9]. By assuming that the number of receptors
is much larger than the number of ligands, i.e. dR/dt 0 (R R
T
), the
following simplified ligand and ligand–complex kinetics are obtained:
d
dt
C
L
=
(1 + β) 1
γ γ

C
L
+
0
1
u (2.51)
where β and γ are given by
β =
k
e
k
off
, γ =
K
a
R
T
N
av
V
c
,
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