Team:Imperial College London/Drylab/Protein production/Analysis
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==Model Assumptions== | ==Model Assumptions== | ||
Revision as of 13:57, 18 September 2009
- Overview
- The model
- Simulations
Model Assumptions
- LacI assumptions:
- The lac operon represses by constitutively synthesizing the LacI gene product [ref1].
- Here we have assumed that all the other complicated dynamical pathways are at dynamic equilibrium [ref2], and we are only considering the LacI gene.
- If these effects were included, the dynamics of the entire system will be more complicated, and the outcome of the model will be different.
- In a culture grown overnight, levels of LacI expression will have reached steady state. We can assume that this is the case before we add in IPTG.
- IPTG assumptions:
- LacI and IPTG undergo a secondary set of reactions when IPTG is added in. We assume that 1 molecule of IPTG binds to 1 molecule of LacI, creating an intermediate reaction complex:
- We also assume that the concentration of IPTG we put in is below the threshold of toxicity that could significantly start killing our cells.
- [http://openwetware.org/wiki/IGEM:IMPERIAL/2009/M1/Modelling/Analysis/literatureIPTG Literature review on IPTG]
- In this model we have neglected the degradation rate of IPTG and also of the [IPTG-LacI] complex.
The model
We can describe the behavior of the system with 4 ODEs. In this system, the first two equations describe the expression of LacI protein, and these will be linked to how it represses production of the protein of interest.
- In the absence of IPTG the system becomes:
[Introduce system in the absence of IPTG here] Click here for a detailed explanation here
- When IPTG is introduced the system becomes:
[Introduce full system with IPTG included] and expansion to the model. [link]
Model Predictions