Absolute concentration robustness (ACR) is a condition wherein a species in a
chemical kinetic system possesses the same value for any positive steady state
the network may admit regardless of initial conditions. Thus far, results on
ACR center on chemical kinetic systems with deficiency one. In this
contribution, we use the idea of dynamic equivalence of chemical reaction
networks to derive novel results that guarantee ACR for some classes of power
law kinetic systems with deficiency zero. Furthermore, using network
decomposition, we identify ACR in higher deficiency networks (i.e. deficiency
≥ 2) by considering the presence of a low deficiency subnetwork with ACR.
Network decomposition also enabled us to recognize and define a weaker form of
concentration robustness than ACR, which we named as `balanced concentration
robustness'. Finally, we also discuss and emphasize our view of ACR as a
primarily kinetic character rather than a condition that arises from structural
sources.Comment: submitted for publication; 26 pages. arXiv admin note: text overlap
with arXiv:1908.0449
