Team:Imperial College/Genetic Circuit Details

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Simple Model (1)

Equilibria

Interactions between IPTG, LacI and free promoter and the formation of the promoter-LacI and IPTG-LacI complexes are described using the following equilibria.

Simple model equilibria.jpg

Note: 1:1 stoichiometry has been assumed; this model could be adapted to use different stoichiometric coefficients.

k2, k3, k4 and k5 represent binding constants for formation and dissociation of complexes.

Equations

More Sophisticated Model(2)

Equilibria

Assumptions:

No intermediary P-IPTG-LacI complex is formed.

We assumed 2 LacI molecules bind to the promoter.

Equations

Qualitative effect of parameters on behaviour

References
  1. Kuhlman T, Zhang Z, Saier MH Jr, & Hwa T (2007) Combinatorial transcriptional control of the lactose operon of Escherichia coli. - PNAS 104 (14) 6043-6048
  2. Alon, U (2006) An Introduction to Systems Biology: Design Principles of Biological Circuits - Chapman & Hall/Crc Mathematical and Computational Biology


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