Before revision:  We will refer to this property as reaction network detailed balance (RNDB)  . Markov chains (whether arising as models of CRNs or otherwise) have their own notion of detailed balance, imposed by the network structure of the graph of the transition matrix of the Markov chain.
After revision:  We will refer to this property as reaction network detailed balance (RNDB) which is achieved by imposing network-related constraints on the reaction rate constants . Markov chains (whether arising as models of CRNs or otherwise) have their own notion of detailed balance, imposed by the network structure of the graph of the transition matrix of the Markov chain.