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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
Nonlinear systems 97
points E
3
and E
2
, it is possible to verify that, if
α <
2
s
1
d
1
βk
2
d
2
, (3.37)
the density of malignant cells in E
3
is lower than in E
2
.
There is a biological interpretation for the equilibrium points E
2
and E
3
lying in the positive orthant. In particular, if only E
2
belongs to the positive
orthant, a mechanism for converting resting pr e dator cells to hunting preda-
tor cells does not exist. Conversely, when E
3
belongs to the positive orthant
it is po ssible to control the steady-state density of the tumour by varying
α. Therefor e, it is of significant clinical interest to determine the region of
attraction surrounding E
3
, since
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Publisher Resources

ISBN: 9781439816912