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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
Negative feedback systems 135
of different values of the time delay τ. Fig. 4.13 reports the time res po nse
of the nonlinear system for
˜
d = ¯x
2
/8, T = 10 h (for better visualisation, the
pulse perturbation is applied at time t = 10 h): it is clearly visible that the
analysis conducted on the linearised system holds also for the nonlinear s ys-
tem, at least for a moderate perturbation of the state from the equilibrium
condition. For τ < 0.46 the oscillations induced by the perturbation dampen
out, for τ = 0.46 they exhibit a constant amplitude, whereas for τ > 0.46 the
oscillation is unstable. Note that in the latter case the oscillation amplitude
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Publisher Resources

ISBN: 9781439816912