Team:Grenoble/Projet/Modelling

From 2011.igem.org

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<div  class="blocbackground" id="Modelling">
    <h1>Modelling</h1>
    <h1>Modelling</h1>
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    <p>
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In the particular case of our circuit and final use of the bacteria, the modelling team had to check
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the effectiveness of our circuit of course, but also had to give the specificities (size, number of
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bacteria, IPTG gradient specificities) of the measuring device we intend to produce.
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</p>
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    </div>
<div  class="blocbackground" id="Content">
<div  class="blocbackground" id="Content">
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  <h2>Table of content</h2>  
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<h2>Table of content</h2>
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    <p>
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<p>
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In the next pages we first expose technically which algorithms we used for both deterministic modelling and  
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stochastic modelling and explain our MATLAB scripts (available  
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  In the particular case of our circuit and final use of the bacteria, the modelling team had to check the effectiveness of our circuit of course, but also had to give the specificities (size, number of bacteria, IPTG gradient specificities) of the measuring device we intend to produce.<br/><br/>
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<a href="http://igemgrenoble-files.perso.sfr.fr/2011/MATLAB_Archives/">here</a>) in the hope it could help  
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future modelling teams. <br/>We exposed the results in the last section, for anyone who is interested in  
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  In the next pages we first expose technically which algorithms we used for both deterministic modelling and stochastic modelling and explain our MATLAB scripts (available <a href="http://igemgrenoble-files.perso.sfr.fr/2011/MATLAB_Archives/">here</a>) in the
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the results only<br/><br/>
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  hope it could help future modelling teams. <br/>We exposed the results in the last section, for anyone who is interested in the results only<br/><br/>
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  <a href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic" ><img class="icon" src="https://static.igem.org/mediawiki/2011/b/b4/Icon_deterministic.png"/></a>
  <a href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic" ><img class="icon" src="https://static.igem.org/mediawiki/2011/b/b4/Icon_deterministic.png"/></a>
     
     
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      <big><big><a href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic" class="menu">Deterministic Modelling :</a></big></big><br/>
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      <big><big><a href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic" class="menu">Construction of the model :</a></big></big><br/>
       
       
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_EquationsTS">Our equations and how we obtained them :</a><a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_EquationsTS"> Toggle switch</a><a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_EquationsQS">Quorum sensing</a><br/>
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_EquationsTS">Establishment of the equation</a><a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_EquationsTS"> Toggle switch</a><a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_EquationsQS">Quorum sensing</a><br/>
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_algorithms">Our algorithms</a><br/>
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Our_algorithms">Our algorithms</a><br/><br/><br/>
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Deterministic#Isoclines">Nullclines and Hysteresis</a><br/><br/>
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  <a href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic"><img class="icon" src="https://static.igem.org/mediawiki/2011/6/67/Icon_stochastic.png"/></a>
  <a href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic"><img class="icon" src="https://static.igem.org/mediawiki/2011/6/67/Icon_stochastic.png"/></a>
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<big><big><a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic">Stochastic Modelling :</a></big></big><br/>
<big><big><a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic">Stochastic Modelling :</a></big></big><br/>
       
       
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic#Geof">Random Aspect of the system</a><br/>
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<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic#Geof">Sensitivity to noise</a><br/>
<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic#Gillespie_algorithm">Gillespie algorithm</a><br/>
<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic#Gillespie_algorithm">Gillespie algorithm</a><br/>
<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic#Stats">Mean, standard deviation and statistical properties</a><br/><br/>
<a class="menu" href="https://2011.igem.org/Team:Grenoble/Projet/Modelling/Stochastic#Stats">Mean, standard deviation and statistical properties</a><br/><br/>

Revision as of 18:30, 23 October 2011

Grenoble 2011, Mercuro-Coli iGEM


Modelling

In the particular case of our circuit and final use of the bacteria, the modelling team had to check the effectiveness of our circuit of course, but also had to give the specificities (size, number of bacteria, IPTG gradient specificities) of the measuring device we intend to produce.

Table of content

In the next pages we first expose technically which algorithms we used for both deterministic modelling and stochastic modelling and explain our MATLAB scripts (available here) in the hope it could help future modelling teams.
We exposed the results in the last section, for anyone who is interested in the results only

Construction of the model :
Establishment of the equation Toggle switchQuorum sensing
Our algorithms


Stochastic Modelling :
Sensitivity to noise
Gillespie algorithm
Mean, standard deviation and statistical properties


Parameters



Results :
Validation of our genetical network
Device