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Team:Evry/Modeling
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== First approach: == | == 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. | 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 | + | 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 09:11, 27 June 2013
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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 <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.
<img:systeme differentiel/>
where <math>\alpha</math> is the Mc Kellar adaptation factor:
<img:McKellar>
