The repressilator is a genetic regulatory network consisting of at least one feedback loop with at least three genes, each expressing a protein that represses the next gene in the loop. In biological research, repressilators have been used to build cellular models and understand cell function. There are both artificial and naturally-occurring repressilators. Recently, the naturally-occurring repressilator clock gene circuit in Arabidopsis thaliana (A. thaliana) and mammalian systems have been studied. Artificial Repressilators Artificial repressilators were first engineered by Michael Elowitz and Stanislas Leibler in 2000, complementing other research projects studying simple systems of cell components and function. In order to understand and model the design and cellular mechanisms that confers a cell’s function, Elowitz and Leibler created an artificial network consisting of a loop with three transcriptional repressors. This network was designed from scratch to exhibit a stable oscillation that acts like an electrical oscillator system with fixed time periods. The network was implemented in Escherichia coli (E. coli) via recombinant DNA transfer. It was then verified that the engineered colonies did indeed exhibit the desired oscillatory behavior. The repressilator consists of three genes connected in a feedback loop, such that each gene represses the next gene in the loop and is repressed by the previous gene. In the synthetic insertion into E. Coli, green fluorescent protein (GFP) was used as a reporter so that the behavior of the network could be observed using fluorescence microscopy. 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. These models were analyzed to determine the values of various rates that would yield a sustained oscillation. It was found that these oscillations were favored by promoters coupled to efficient ribosome binding sites, cooperative transcriptional repressors, and comparable protein and mRNA decay rates. This analysis motivated two design features which were engineered into the genes. First, promoter regions were replaced with a more efficient hybrid promoter which combined the E. coli phage lambda PL (λ PL) promoter with lac repressor (Lacl) and Tet repressor