We used Hill function and mass function to formulize the circuits into ordinary differential equation forms.

Model Description

Red Light Pathway

Blue Light Pathway

Green Light Pathway

Results

Red Light Pathway

Blue Light Pathway

Green Light Pathway

But collecting the steady states under different initial input light condition in the kinetic modeling, we can get the relation between the intensity of the input light and the amount of fluorescence.

The result agrees with the result in Tao's work.