Degrees of Rate Control at Non(pseudo)steady-State Conditions

The degrees of rate control enable identification of rate-controlling transition states and species during (pseudo)steady-state reaction. We demonstrate a method for identifying rate-controlling transition states and species at non(pseudo)steady-state conditions by modifiying of the definitions for degrees of rate control and sensitivities to superimpose the condition that time constants of the analytical rate function are kept constant when taking the partial derivatives of rate with respect to the rate constants/free energies. The utility of transient degrees of rate control is demonstrated for catalytic reaction networks to rationalize features of the transient rate including extrema and discontinuities.