The rationale behind the proposed modification was guided by a mathematical model that we developed to describe the dynamics of the modified toggle network. The model was employed as predictive tool to quantify the effect of meaningful system parameters on the oscillatory patterns of gene expression. Simulation studies have revealed that the oscillation onset can be triggered through appropriate design of the promoter strengths and the protein half-lives. Moreover, modulation of the concentration of an extracellular inducer allows fine-tuning of key network parameters such as the oscillation amplitude and period. Thus, our model can serve as a tool for rationally modifying the genetic network and choosing the extracellular conditions to obtain desirable oscillatory patterns of gene expression.