Lopez-Caamal, F. and Oyarzun, D.A. and Moreno, J.A. and Kalamatianos, D.
Control structure and limitations of biochemical networks.
American Control Conference (ACC), 2010.
IEEE, pp. 6668-6673.
Biochemical networks typically exhibit intricate
topologies that hinder their analysis with control-theoretic tools.
In this work we present a systematic methodology for the
identification of the control structure of a reaction network. The
method is based on a bandwidth reduction technique applied
to the incidence matrix of the network’s graph. In addition,
in the case of mass-action and stable networks we show that
it is possible to identify linear algebraic dependencies between
the time-domain integrals of some species’ concentrations. We
consider the extrinsic apoptosis pathway and an activation–
inhibition mechanism to illustrate the application of our results
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