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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
102 Feedback Control in Systems Biology
solution to the feasibility P roblem 2 is then given by
γ = 0.1194, P =
0.0319 0.0027 0.0464
0.0027 4.194 7.259
0.0464 7.259 182.26
,
which can be readily obtained by numerically solving the problem using the
YALMIP [35] package or the MATLAB
r
LMI Toolbox [36]. Thus, we can
conclude that the box R belongs to the region of attraction of E
3
. This implies
that every trajectory starting from an initial condition included in R (such
as, for example, those shown in Fig. 3.13) converges to E
3
.
Optimis ation of the therapeutic treatment
Changes in the hemodynamic per fusion of the tumour, radiation or chemother-
apy may induce stochastic perturbations of the state variables around the
equilibrium point E
3
, thus leading ...
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Publisher Resources

ISBN: 9781439816912