Team:Paris/Modeling
From 2008.igem.org
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{| | {| | ||
|- style="background: #649CD7;" | |- style="background: #649CD7;" | ||
- | ! colspan=" | + | ! colspan="7" style="background: #649CD7;" | Parameter Table |
|- style="background: #649CD7; text-align: center;" | |- style="background: #649CD7; text-align: center;" | ||
|width=5%| Parameter | |width=5%| Parameter | ||
- | |width= | + | |width=20%| Meaning |
|width=10%| Value | |width=10%| Value | ||
+ | |width=20%| Unit | ||
|width=5%| Source | |width=5%| Source | ||
|width=5%| Accuracy | |width=5%| Accuracy | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FlhDC activation coefficient | | FlhDC activation coefficient | ||
| 50 | | 50 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FliA activation coefficient | | FliA activation coefficient | ||
| 0 | | 0 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FlhDC activation coefficient | | FlhDC activation coefficient | ||
| 1200 | | 1200 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FliA activation coefficient | | FliA activation coefficient | ||
| 250 | | 250 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FlhDC activation coefficient | | FlhDC activation coefficient | ||
| 150 | | 150 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FliA activation coefficient | | FliA activation coefficient | ||
| 300 | | 300 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FlhDC activation coefficient | | FlhDC activation coefficient | ||
| 100 | | 100 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FliA activation coefficient | | FliA activation coefficient | ||
| 350 | | 350 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FlhDC activation coefficient | | FlhDC activation coefficient | ||
| 100 | | 100 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| FliA activation coefficient | | FliA activation coefficient | ||
| 350 | | 350 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Production rate | | Production rate | ||
| 0,01 | | 0,01 | ||
+ | | | ||
| [2] | | [2] | ||
| | | | ||
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| Diffusion rate in the cell | | Diffusion rate in the cell | ||
| 2 | | 2 | ||
+ | | | ||
| [2] | | [2] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Diffusion rate out off the cell | | Diffusion rate out off the cell | ||
| 2 | | 2 | ||
+ | | | ||
| [2] | | [2] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| Maximal contribution to tetR in the presence of saturating amounts of HSL | | Maximal contribution to tetR in the presence of saturating amounts of HSL | ||
| 20 | | 20 | ||
+ | | | ||
| [2] | | [2] | ||
| | | | ||
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| Ratio between mRNA and protein lifetimes | | Ratio between mRNA and protein lifetimes | ||
| 1 | | 1 | ||
+ | | | ||
| [2] | | [2] | ||
| | | | ||
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| Degradation rate | | Degradation rate | ||
| 1 | | 1 | ||
+ | | | ||
| [1] | | [1] | ||
| | | | ||
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| style="background: #D4E2EF;" |τ | | style="background: #D4E2EF;" |τ | ||
| Threshold for tetR repression | | Threshold for tetR repression | ||
- | |||
| (20000) | | (20000) | ||
+ | | | ||
| lab | | lab | ||
+ | | | ||
| | | | ||
|- style="background: #dddddd;" | |- style="background: #dddddd;" | ||
| style="background: #D4E2EF;" |∆ | | style="background: #D4E2EF;" |∆ | ||
| Promoter activity without the repressor | | Promoter activity without the repressor | ||
- | | 100 | + | |(100) |
+ | | | ||
| lab | | lab | ||
| | | |
Revision as of 17:41, 6 August 2008
Graph screenshotsCorresponding codes
First Mathematical ApproachIntroductionAs a first approach, we had decided to take into account the binding to the promoters steps. Moreover, the transcription rates were expected to be Hill functions. Obvisouly, this modeling requires a huge number of parameters. To obtain them, we had planed to devise specific experiments (described below). Nonetheless, after reading some more articles, we have decided to change several asumptions of the modeling choice. Therefore, we have devised a perhaps more biologically relevant framework (see above). This part describes in detail the first approach and the codes that have been produced. First ApproachAs a first approximation, we have proposed a set of 5 ordinary differential equations, without taking into account the transcription step. Besides, we have had not introduced yet a synchronizaton module. Therefore, the repression of FlhDC is directly modeled by the presence of the 'Z3' gene (that is the last that is turned on). In this framework, we have found parameters that have provided oscillations as well as a function that automatically detects whether the output of the ode system is oscillating. This has allowed to screen a little the parameters used, in order to evaluate the robustness of the system. The methods employed are described there : First Approach. More precise Bio-Mathematical DescriptionAfter trying to obtain oscillations from a simple model, we have tried to described more precisely the studied system. Therefore, we have obtained the following formalism : Bio-Mathematical Description. BibliographyIn order to choose a proper modeling approach for our system, we have decided to list all the chemical reactions we will take into account. Afterwards, we will find the needed parameters reading articles or devising the required experiments. An overview of the work that has to be done can be found here : Parameters we have to use. Estimation of parametersThen, we will need many parameters to fully desribe the system according to the asumptions of the previous section. A natural way to have access to their value, after searching in the litterature, is to devise specific experiments. As a consequence of the characterization of the promoters activity, some Hill functions could be obtained. Thus, we have described the experimental approach required : Estimation of the parameters. Nonetheless, as mentioned above, we have changed the way to model the biological reactions. As a result have stopped investigating in this way to focus on the An Oscillatory Biological Model.
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