Equations

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

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Equation for the rate of change of the mRNA that is transcribed from the galactose promoter. Three terms are production, degradation and dilution respectively.

Equation for the rate of change of Green Fluorescent Protein (GFP) that is translated from the mRNA. Three terms are production, degradation and dilution respectively.

Equation for the rate of change of the mRNA that is transcribed from the copper promoter. Three terms are production, degradation and dilution respectively.

Equation for the rate of change of Cyan Fluorescent Protein (CFP) that is translated from the mRNA. Three terms are production, degradation and dilution respectively.

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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.