Equations

The four differential equations below model the generation and degradation of the two mRNAs, GFP and CFP within the cell as a function of time.

Generation Term

The generation term is in the form of the Michaelis-Menten equation with Hill coefficients to model the cooperativity of the binding affinities.

Degradation Term

The degradation term is a function of the the rate of degradation of the molecule and the cell division time.

Base Rate

The base rate refers to the concentration of molecules present in the cell when the promoter or inhibitor is not activated.