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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 solved 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>