  Robustness against the presence of environmental disruptions can be observed
in many systems of chemical reaction network. However, identifying the
underlying components of a system that give rise to robustness is often
elusive. The influential work of Shinar and Feinberg established simple yet
subtle network-based conditions for absolute concentration robustness (ACR), a
phenomena in which a species in a mass-action system has the same concentration
for any steady state the network may admit. In this contribution, we extend
this result to embrace kinetic systems more general than mass-action systems,
namely, power-law kinetic systems with reactant-determined interactions
(denoted by "PL-RDK"). In PL-RDK, the kinetic order vectors (which we call
"interactions") of reactions with the same reactant complex are identical. As
illustration, we considered a scenario in the pre-industrial state of global
carbon cycle. A power-law approximation of the dynamical system of this
scenario is found to be dynamically equivalent to an ACR-possessing PL-RDK
system.
