Team:Evry/Modeling
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- | + | <h1>Modeling:</h1> | |
The modeling part is planned around 4 main targets: | The modeling part is planned around 4 main targets: | ||
<ul> | <ul> | ||
- | <li> | + | <li>Growth of an iron-chelating bacterial population |
- | <li> | + | <li>Risk assessment : forecast, control, auto-regulation, ... |
- | <li> | + | <li>Bacterial activity : iron-chelation rate, avidity (cellular scale) |
- | <li> | + | <li>Intestine mapping and interactions |
</ul> | </ul> | ||
- | + | <h1>First approach: </h1> | |
For a better understanding of the bacteria our team is going to produce, we chose to first focus on the growth of an iron-chelating bacterial population. | For a better understanding of the bacteria our team is going to produce, we chose to first focus on the growth of an iron-chelating bacterial population. | ||
- | Let us suppose we have <math>N_0</math> initial siderophore-producing bacterias in a closed system with dissolved iron. Monitoring the evolution of those bacterias, the dissolved iron, the siderophores and the chelated iron through a simple model will help our biologists tune their constructions.<br/><br/> | + | <br/>Let us suppose we have <math>N_0</math> initial siderophore-producing bacterias in a closed system with dissolved iron. Monitoring the evolution of those bacterias, the dissolved iron, the siderophores and the chelated iron through a simple model will help our biologists tune their constructions.<br/><br/> |
<img:systeme differentiel/><br/><br/> | <img:systeme differentiel/><br/><br/> | ||
where <math>\alpha</math> is the Mc Kellar adaptation factor:<br/><br/> | where <math>\alpha</math> is the Mc Kellar adaptation factor:<br/><br/> | ||
<img:McKellar><br/><br/> | <img:McKellar><br/><br/> |
Revision as of 11:54, 16 July 2013
Modeling:
The modeling part is planned around 4 main targets:- Growth of an iron-chelating bacterial population
- Risk assessment : forecast, control, auto-regulation, ...
- Bacterial activity : iron-chelation rate, avidity (cellular scale)
- Intestine mapping and interactions
First approach:
For a better understanding of the bacteria our team is going to produce, we chose to first focus on the growth of an iron-chelating bacterial population.Let us suppose we have initial siderophore-producing bacterias in a closed system with dissolved iron. Monitoring the evolution of those bacterias, the dissolved iron, the siderophores and the chelated iron through a simple model will help our biologists tune their constructions.
where is the Mc Kellar adaptation factor: