Before revision:  We show that if a chemical reaction network modeled with mass-action kinetics possesses DDB, then it also possesses SDB. In order to show that the converse is not true in general, we present examples of networks which have SDB but not DDB.
After revision:  We show that if a chemical reaction network modeled with mass-action kinetics , we will refer to this property as Markov chain detailed balance (MCDB). Finally, we refer to the stochastic analog of RNDB as Whittle stochastic detailed balance (WSDB). It is known that RNDB and WSDB are equivalent, in the sense that they require an identical set of conditions on the rate constants. We prove that WSDB and MCDB are also intimately related but are not equivalent, although they are sometimes confused for each other. While RNDB implies MCDB, the converse is not true.