Team:Paris/Modeling/f2

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No particular strain.

F2.png

Exactly as for the binding of IPTG on LacR (see TF concentration control), leading to a lowered inhibition of Plac, aTc binds to TetR. So, after having determinated the Hill function [expr.Ptet] = ƒ2(TetR) = ƒ2aux(IPTG), we can study [expr.Ptet] = ƒ2ter([TetR],[aTc]), and determine by calcul [TetRactive] = ƒ2bis(aTc) = f2-1([expr.Ptet]), to endly give an analytical expression of ƒ2ter = ƒ2οƒ2bis

F2alt.png

Otherwise, if we find in the litterature the dissociation constant of the reaction aTc + TetR⇄ aTc_TetR, we could determine by calculus the amount of free TetR, function of the expression of a known constitutive promoter before tetR and of the added aTc. In this way, we just have to study [expr.Ptet] = ƒ2(TetRfree).