166 Feedback Control in Systems Biology
allows us to state that, given a deficiency zero network c ontaining the null
complex, the co rresponding system (no matter the reaction kinetics) admits
no steady-state at all if the null complex does not lie in a terminal str ong
linka ge class. The interested reader is referred to [8] for additional results.
5.4.3 Networks of deficiency one
Let us now consider the case of networks of deficiency one. In contrast to the
results in the pr evious se ction, the r e sults provided by CRNT for this case give
no dynamical information: they are only concerned with the uniqueness and
existence of positive steady-states. Also, for networks of nonzero deficiency,
the lack of weak reversibility no longer precludes the existence ...