Detailed balance, local detailed balance, and global potential for stochastic chemical reaction networks

Abstract Detailed balance of a chemical reaction network can be defined in several different ways. Here we investigate the relationship among four types detailed conditions: deterministic, stochastic, local, and zero-order local balance. We show that are equivalent when reactions lead to species changes not some same change. Under condition balance, further system has global potential over whole space, which plays central role large deviation theory Freidlin–Wentzell-type metastability networks. Finally, provide new sufficient for stochastic is applied construct class high-dimensional networks both satisfies displays multistability.