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Team:Evry/auxin detection
From 2012.igem.org
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| - | <h2> | + | <h2> Assumptions </h2> |
| - | <p> | + | <p> |
| + | In these reactions, we assimilate the complex Auxin-TIR to an enzyme that is able to degrade the GFP. Auxin would then be its activator. | ||
| + | <br> | ||
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| + | The degradation rate of GFP is negligible; indeed a molecule of GFP takes 72 hours to degrade normally, whereas during auxin detection the complex auxin-TIR degrades it in less than an hour. | ||
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</p> | </p> | ||
| - | <h2> | + | <h2> Model Description </h2> |
| - | Chemical equations | + | Chemical equations: |
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<br> | <br> | ||
| - | After adding to these equations creation | + | After adding to these equations the creation rate of GFP and desintegration rate of auxin whe obtain the system of equations:<center><img src="https://static.igem.org/mediawiki/2012/2/25/Eqs.png" width="200px"></center> |
Where: | Where: | ||
<ul> | <ul> | ||
| - | <li> A stands for auxin</li> | + | <li> [A] stands for auxin concentration</li> |
| - | <li> T stands for | + | <li> [T] stands for TIR concentration</li> |
| - | <li> AT stands for the complex auxin- | + | <li> [AT] stands for the complex auxin-TIR concentration</li> |
| - | <li> G stands for GFP | + | <li> [G] stands for GFP concentration</li> |
| - | + | <li>Ɣ is the strength of the promoter used to create GFP</li> | |
| - | <li>Ɣ | + | |
<li>f<sub>e<sub>aux</sub></sub>(t) is the quantity of auxin that enters in the cell at time t</li> | <li>f<sub>e<sub>aux</sub></sub>(t) is the quantity of auxin that enters in the cell at time t</li> | ||
| - | <li>K<sub> | + | <li>K<sub>A</sub> is the reaction constant of the creation of the auxin-TIR1 complex</li> |
| - | <li>K<sub> | + | <li>K<sub>G</sub> is the reaction constant of the degradation o f GFP</li> |
| - | <li> | + | <li>δ is the degradation rate of auxin</li> |
</ul> | </ul> | ||
<h2> Model's calibration </h2> | <h2> Model's calibration </h2> | ||
Revision as of 00:03, 27 September 2012
Auxin detection
Overview
Now that we’ve managed to model auxin creation and transport, you may be asking yourself ; great, those guys have done all those models, but how can we link it to what we see ? That’s the aim of this model that will link the quantity of auxin transported into the cell to GFP degradation that we can observe in our tadpole’s cells. As for us, this model will also help our biologists to find the conditions upon which the reception can work and the help them guess the reasons of possible dysfunction in the auxin reception. This is what's happening during auxin detection:
Thus, once TIR 1 ang GFP are produced and auxin has entered the cell, it binds with TIR1 and then this complex degrades GFP. This is what we're going to model.
Assumptions
In these reactions, we assimilate the complex Auxin-TIR to an enzyme that is able to degrade the GFP. Auxin would then be its activator.
The degradation rate of GFP is negligible; indeed a molecule of GFP takes 72 hours to degrade normally, whereas during auxin detection the complex auxin-TIR degrades it in less than an hour.
Model Description
Chemical equations:After adding to these equations the creation rate of GFP and desintegration rate of auxin whe obtain the system of equations:
- [A] stands for auxin concentration
- [T] stands for TIR concentration
- [AT] stands for the complex auxin-TIR concentration
- [G] stands for GFP concentration
- Ɣ is the strength of the promoter used to create GFP
- feaux(t) is the quantity of auxin that enters in the cell at time t
- KA is the reaction constant of the creation of the auxin-TIR1 complex
- KG is the reaction constant of the degradation o f GFP
- δ is the degradation rate of auxin
