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Team:Bologna/Modeling
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Revision as of 09:35, 8 August 2008
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| HOME | THE PROJECT | THE TEAM | PARTS SUBMITTED TO THE REGISTRY | MODELING | NOTEBOOK |
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Mathematical Model
The behavior of this device and the conditions for bistability can be understood using the following dimensionless model for the network:
Where:
In the picture we can see the bond between ALFA, the rate of synthesis of repressor, and the INDUCTOR. In the first approximation we consider that ALFA is the same for the two repressors. For little value of ALFA we have a linear relation but when we increase ALFA we have a saturation and we have to increase the amount of INDUCTOR. Increasing the cooperativity of repression (beta and gamma) we have to grow the INDUCTOR to pass the transition (bifurcation) between bistability and monostability. Reducing the cooperativity of repression reduces the size of the bistable region.
| Home | The Team | The Project | Parts Submitted to the Registry | Modeling | Notebook |
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Note
If you choose to include a Modeling page, please write about your modeling adventures here. This is not necessary but it may be a nice list to include.
