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

Super Parts	Prey Construct
Actual Part	T9002: Test Sensing Prey Construct
Sub Parts	F2620	intermediate_part	intermediate_part

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)

[math]\displaystyle{ \frac{d[GFP]}{dt} = \frac{a \times [AHL]}{a_{0} + [AHL]} - d_{GFP} \times [GFP] }[/math]

Name	Description	Initial Value	Confidence	Reference
Variables
AHL	Acyl Homoserince Lactone representing the prey molecule	Concentration Range varying between 0nM and 10uM	known	links
GFP	Green Fluorescent Protein to act as PoPs	0	to be measured	links

Name	Description	Value	Confidence	Reference
Parameters
a	population-dependent	?	to be extracted using experimental data	links
a₀	constant	?	to be extracted using experimental data	links
d_GFP	degradation constant due to GFP degradation (Half-life 45min.)	?	to be extracted using experimental data	links

N/A