 The design of the repressilator was guided by biological and circuit principles with discrete and stochastic models of analysis.Six differential equations were used to model the kinetics of the repressilator system based on protein and mRNA concentrations, as well as appropriate parameter and Hill coefficient values.In the study, Elowitz and Leibler generated figures showing oscillations of repressor proteins, using integration and typical parameter values as well as a stochastic version of the repressilator model using similar parameters.