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Team:Tokyo Tech/Genetic toggle switch to implement rewritable function
From 2008.igem.org
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== Mathematical model == | == Mathematical model == | ||
| - | <gallery widths=" | + | <gallery widths="200px" heights="150px" perrow="1" align="right" caption="Differential equation models"> |
Image:Room_pressure_model.png|figure 5-2 Atmospheric pressure model. It is known that n<sub>P<sub>L</sub></sub> = 3.0 from earlier studies, and we identified n<sub>P<sub>lac</sub></sub> = 2.15 by our activity determination. | Image:Room_pressure_model.png|figure 5-2 Atmospheric pressure model. It is known that n<sub>P<sub>L</sub></sub> = 3.0 from earlier studies, and we identified n<sub>P<sub>lac</sub></sub> = 2.15 by our activity determination. | ||
Image:30MPa_pressure_model2.png|figure 5-3 30MPa pressure model | Image:30MPa_pressure_model2.png|figure 5-3 30MPa pressure model | ||
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| - | [[Image:Desirable_condition.png| | + | [[Image:Desirable_condition.png|700px|thumb|left|fig5-4:Desirable condition<!--. left:under atmospheric pressure (nullclines of figure 5-2), right:under 30MPa pressure (nullclines of figure 5-3).-->]] |
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Revision as of 11:09, 26 October 2008
| Home | Construction | Acrylic container | Development of promoter | Genetic toggle switch | Parts Submitted to the Registry | Result | The Team | Acknowledgements |
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Contents |
Genetic toggle switch to implement rewritable function
In order to implement rewritable function, we tried to construct Pressure Inducible Genetic Toggle Switch (in short PIGTS). We thought two types of model - genetic circuit model and mathematical model - so as to construct PIGTS.
Genetic circuit model
1. Writable function
- Plac is induced under 30MPa pressure
- Express CI and GFP
- CI represses PL and causes low LacI concentration
- Express increasingly CI and GFP(inserted destruction tags) ⇒ Bright!!
2. Erasable function
- PL is induced by heat
- Express LacI and LacI represses Plac
- Therefore, GFP expression decreases
Mathematical model
 figure 5-2 Atmospheric pressure model. It is known that nPL = 3.0 from earlier studies, and we identified nPlac = 2.15 by our activity determination. |
 figure 5-3 30MPa pressure model |
We used two differential equation models and we call them 'atmospheric pressure model' and '30MPa pressure model'. In order to implement rewritable function, we decided to use the difference of nullclines of each system so as to satisfy the following condition
- Converge to high CI concentration state under 30MPa pressure (writable)
- Bistable under atmospheric pressure (erasable)
Calculate the domain of appropriate parameters
It is known that Plac activity under 30MPa pressure is 94.0 times stronger than Plac activity under atmospheric pressure, so, β30Plac = 94.0. If 30MPa additional activity rate of PL (β30PL) or the ratio of Plac - RBS strength (αPlac) and PL-RBS strength(αPL) are not appropriate value, we can't construct PIGTS. So we calculated the domain of appropriate β30PL and the ratio of αPlac and αPL.
We identified β30PL = 1.42 by our experiment under 30MPa pressure. Therefore, we can implement rewritable function if we choose PL - RBS strength range from 2.4 to 7.4.
