IGEM:IMPERIAL/2007/Cell By Date/Modelling

Cell by Date

• Introduction
• Specifications
• Design
• Modelling
• Fabrication
• Testing
• DataAnalysis
• Validation
• Notes
• References

ODEs for energy-limited constitutive expression by pTET-mut3BGFP

[math]\displaystyle{ \frac{d[GFP]}{dt} = k_1\bigg(\frac{[E]^n}{K_E^n + [E]^n}\bigg) - \delta_{GFP}[GFP] }[/math]

[math]\displaystyle{ \frac{d[GFP]}{dt} = - k_1\bigg(\frac{[E]^n}{K_E^n + [E]^n}\bigg) }[/math]

• [math]\displaystyle{ k_1 }[/math] - rate constant for pTET

• [math]\displaystyle{ K_E }[/math] - Half Saturation Coefficient for Energy Hill function

• n - Positive Cooperativity Coefficient : here n = 2

• [math]\displaystyle{ \delta_{GFP} }[/math] - Decay constant of mut3BGFP : here [math]\displaystyle{ \delta_{GFP}=0.0005 }[/math]

File:CBD Energy ode.m

Plots of time evolution of GFP expression and consequent Energy depletion

File:CBD Energy General.m