In vivo, metabolic adaptation is one of the most common and important biological phenomena,for instance.Warburg effect in cancer and diauxic growth in microbe are such examples.Our work is mainly about looking for mathematical principle behind metabolic fast adaptation from the view of network control.The process of adaptation is accomplished through metabolic regulation.Normally the availability of metabolites induces enzymes and modifies enzyme,changing the reaction rates are most common in metabolic regulation.During the work of the bacterium Methylobacterium extorquens AM1 metabolic network modeling, the metabolic network adapts itself to a stable state quickly when regulation relationships between metabolites and reaction rates are considered.Regarding metabolic regulation as a network control issue, we propose a theoretical model to force metabolite concentrations and fluxes adapt towards a steady state.Such a mathematical principle allow us to decipher metabolic regulation such as relationship between metabolites and reaction rates based on metabolic biochemistry, then compare with experiments.As a validation, we apply this protocol to TCA metabolic model Methylobacterium extorquens AM1.The regulation relationship between reaction rate and metabolites concentrations of TCA metabolic model are shown to be consistent with experimental observation.