Modelling the activations and repressions in our genetic circuit

To deterministically model each activation and repression of promoters by proteins, we used first order ordinary differential equations (ODEs). We hope that the graphic below explains very clearly where all of the terms come from and what effect they have on the system.

This explanation should enable people of any academic discipline to gain a certain understanding of how to begin simulating gene circuits and predicting the reponse of their systems.