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IPTG is an inducer which binds to LacI. LacI is a repressor that is constitutively expressed. It binds to

the promoter preventing the promoter from expressing an output, in

this case GFP.

In the absence of IPTG , LacI is constitutively expressed. Hence

the constitutive expression model from the previous

characterisation step can be assumed. At the same time, it can

bind to the promoter to repress it.

Evolution of LacI concentration

The repressor only binds to the promoter when it is in its unbound

form.

Evolution of promoter concentration

Evolution of the promoter-LacI complex

Evolution of GFP

d_GFP[GFP] is the basal rate of GFP. This is caused by

the leakiness of the LacI-PLac complex when LacI does not repress

the promoter completely.