Team:Evry/ChemicalTools

From 2013.igem.org

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The production of each one of those enzymes can thus become a rate-limiting-step, when it comes to mass enterobactin production.</p>
The production of each one of those enzymes can thus become a rate-limiting-step, when it comes to mass enterobactin production.</p>
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<img src="https://static.igem.org/mediawiki/2013/1/1d/Entero_pathway.jpg"/>
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<img src="https://static.igem.org/mediawiki/2013/1/1d/Entero_pathway.jpg"/><br/>
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For now, we consider each one of these steps as a simple chemical reaction:
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<p>
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For now, we consider each one of these steps as a simple chemical reaction:<br/>
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S → P : E
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<img src="https://static.igem.org/mediawiki/2013/c/c8/Spe.jpg"/><br/>
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We are using the enzymatic kinetic model of Michaelis-Menten, which divides each reaction into two consecutives steps:<br/>
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We are using the enzymatic kinetic model of Michaelis-Menten, which divides each reaction into two consecutives steps:
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<img src="https://static.igem.org/mediawiki/2013/7/70/Esesep.jpg"/><br/>
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The speed of the reaction is calculated as below:<br/>
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E + S ↔  ES → E + P : k1, k-1, k2
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<img src="https://static.igem.org/mediawiki/2013/b/bd/Vit_reac.jpg"/><br/>
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The steady state approximation gives us:<br/>
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The speed of the reaction is calculated as below:
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<img src="https://static.igem.org/mediawiki/2013/3/39/Calcul_vit_reac.jpg"/><br/>
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And thus,<br/>
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v = dP/dt = k2[ES]
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<img src="https://static.igem.org/mediawiki/2013/5/5e/Resultat_vit_reac.jpg"/><br/>
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where <img src="https://static.igem.org/mediawiki/2013/6/68/Km.jpg"/> and <img src="https://static.igem.org/mediawiki/2013/6/69/Kcat.jpg"/> are classic kinetic parameters.
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The steady state approximation gives us:
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</p>
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<h2>Conclusion:</h2>
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d[ES]/dt = k1[E] [S] – k-1[ES] – k2[ES] = 0
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<p>
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For simple enzymatic reactions (one reagent, one product and one enzyme) with the steady state approximation, we can directly apply the formula above-written.</p>
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And thus,
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v = k2k1/(k-1+k2)* [E][S] = Kcat/Km*[E][S]
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where Km = (k-1+k2)/k1 and Kcat = k2 are classic kinetic parameters.
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Conclusion:
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For simple enzymatic reactions (one reagent, one product and one enzyme) with the steady state approximation, we can directly apply the formula above-written.
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Revision as of 08:00, 2 October 2013

Iron coli project

Chemical tools

There are 6 enzyms involved in the natural process of the enterobactin production:

  • EntA :
  • EntB :
  • EntC :
  • EntD :
  • EntE :
  • EntF :
The production of each one of those enzymes can thus become a rate-limiting-step, when it comes to mass enterobactin production.


For now, we consider each one of these steps as a simple chemical reaction:

We are using the enzymatic kinetic model of Michaelis-Menten, which divides each reaction into two consecutives steps:

The speed of the reaction is calculated as below:

The steady state approximation gives us:

And thus,

where and are classic kinetic parameters.

Conclusion:

For simple enzymatic reactions (one reagent, one product and one enzyme) with the steady state approximation, we can directly apply the formula above-written.

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