Team:Imperial College/Genetic Circuit Details

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To describe the change in concentration of the interacting species over time we used the following system of differential equations:
To describe the change in concentration of the interacting species over time we used the following system of differential equations:
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[[Image:Simple_model_ODEs.jpg|500px]]
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These are evaluated numerically using Matlab's ODE solver.
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Note from the differential equations above that the steady-state concentration of free promoter (when d[P]/dt=0) will be independent of the concentration of IPTG introduced into the system. The pre-steady-state maximum concentration of GFP attained will differ, however - this is illustrated on the [[Genetic_Circuits|Genetic Circuits]] and can be explored further using the [[Media:insert link here|matlab simulations]]

Revision as of 00:01, 29 October 2008


Simple Model (1)

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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