Team:Aberdeen Scotland/parameters/invest 1

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University of Aberdeen iGEM 2009


Dissociation Constants

Introduction

Our model uses hill kinetics; we have three repression hill functions of the form:

Dissociation Constants Eq 1.gif

It also has one activation hill function of the form:

Dissociation Constants Eq 2.gif

And one repression / induction hill function of the form

Dissociation Constants Eq 3.gif

Where β is the maximal transcription rate, [X] is the concentration of protein X and Kd is the dissociation constant for molecule X to the operator in question, [S] is the concentration of the inducer, S and Ks is the dissociation constant for the inducer to the repressor, X. Kd is defined as follows.

Dissociation Constants Eq 4.gif
Dissociation Constants Eq 5.gif


Parameter Value Value (molecules per cell) Description
KLacI 0.1 - 1 [pM] OR 800 [nM] 0.00004-0.0004 molecules OR 322 molecules LacI repressor dissociation constant
KIPTG 1.3 [µM] 522 molecules IPTG-LacI repressor dissociation constant
KtetR 179 [pM] 0.07 molecules TetR repressor dissociation constant
KCI 8 [pM] OR 50 [nM] 0.003 molecules OR 20 molecules CI repressor dissociation constant
KAHL 0.09 - 1 [µM] 402 molecules AHL-LuxR activator dissociation constant