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Team:Bologna/Modeling
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In the model we distinguish between protein binded to repressor ([[Image:f01.jpg|center]])and protein free, not binded to repressor ([[Image:f02.jpg|center]]), in this case repressor is represented by IPTG. | In the model we distinguish between protein binded to repressor ([[Image:f01.jpg|center]])and protein free, not binded to repressor ([[Image:f02.jpg|center]]), in this case repressor is represented by IPTG. | ||
| - | Knowing that [[Image: | + | Knowing that [[Image:f1aa.jpg|center]] and the law of mass action [[Image:f2a.jpg|center]] is possible write [[Image:f3.jpg|center]] where we can replace [[Image:f4.jpg|center]] represents the entry of IPTG inside the cell. |
The same thing can be done even for LexA obtaining [[Image:f5.jpg|center]] where [[Image:f6.jpg|center]] represents the UV radiation. | The same thing can be done even for LexA obtaining [[Image:f5.jpg|center]] where [[Image:f6.jpg|center]] represents the UV radiation. | ||
Revision as of 16:47, 14 October 2008
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Mathematical Model
The behavior of this device and the conditions for bistability can be understood using the following differential equations for the network:
Where:
α = promoter activity and rbs
δ = coefficient of degradation (cellular diluition)
μ = coefficient of cooperativity
The circuit in Figure 1 can be modeled with the following equations:
Where:
Placing:
