IGEM:IMPERIAL/2007/Cell By Date/Modelling

Cell by Date

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

Modelling the spoilage of Aerobically Stored Ground Hamburger Meat

Previous work has been carried out to model the spoilage of ground beef by living organisms. Above in figure 1 is is a model developed by Koutsoumanis in 2006 which colesly fit the behaviou of the spoilge organism we are interested in, Pseudomonas, under dynamic temperature conditions. One of the Key conclusions drawn from this model is the almost instantaneous repsone time of the Pseudomonas' growth parameter.

Koutsoumanis' and also one Giannuzzi developed in 1998 are both based on the Gompertz model. This model allows some insight into the mechanisms of ground beef spoilage.

Modelling our system :energy-limited constitutive expression by pTET-mut3BGFP

Intro Text

[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]

=M Files used to make the above plots

File:CBD Energy General.m File:CBD Energy ode.m