Team:Evry/Modeling

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= Modeling: =
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The modeling part is planned around 4 main targets:
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<ul>
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    <li>[[Growth of an iron-chelating bacterial population]]</li>
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    <li>[[Risk assessment : forecast, control, auto-regulation, ...]]</li>
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    <li>[[Bacterial activity : iron-chelation rate, avidity (cellular scale)]]</li>
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    <li>[[Intestine mapping and interactions]]</li>
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</ul>
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== First approach: ==
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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.
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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.<br/><br/>
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If you choose to include a '''Modeling''' page, please write about your modeling adventures here.  This is not necessary but it may be a nice list to include.
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<img:systeme differentiel/><br/><br/>
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where <math>\alpha</math> is the Mc Kellar adaptation factor:<br/><br/>
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<img:McKellar><br/><br/>

Revision as of 08:56, 27 June 2013

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Modeling:

The modeling part is planned around 4 main targets:

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>