IGEM:IMPERIAL/2006/project/Oscillator/project browser/Test Sensing Prey Construct/Modelling

 Specifications Design Modelling Implementation Testing/Validation  

Model assumptions and relevance

 * General assumptions on gene expression modelling:
 * Quasi-steady state hypothesis on mRNA expression.
 * Gene activation can be approximated by Hill equations.


 * Assumptions linked to the quorum sensing:
 * As a first approximation, we assume that luxR and AHL molecules form a heterodimer (even if it has been found that the complex formed is more complicated)
 * The relationship between the heterodimer formed from LuxR and AHL in activating genes is linear
 * LuxR is at steady state since it is under the control of the constitutive promoter tetR
 * LuxR is in excess of AHL (ie not saturated by AHL)

Model description

 * Mathematical Description of GFP levels (prey sensitivity):


 * $$ \frac{d[GFP]}{dt} = \frac{a \times [AHL]}{a_{0} + [AHL]} - d_{GFP} \times [GFP]$$


 * For a full derivation, see Modelling Prey Sensing Test Construct


 * T9002 Model in Cell Designer

Dynamical and sensitivity analysis
N/A

Characterization

 * Describe how you plan to use the modelling to characterize the part