Team:Freiburg Bioware/Modelling

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<h1>Modeling</h1>
 
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For the modeling part we considered the three main parts:
 
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<ul>
 
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<li>the virus production
 
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<li>the infection of a target cell
 
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<li>the therapy
 
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</ul>
 
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For the first two models we assumed reactions according to the law of mass action to create a model of ordinary differential equations (ODE).
 
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<br><br>
 
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<h2>Model for Virus Production</h2>
 
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<br>
 
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<h3>Reaction Scheme</h3>
 
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For the reaction scheme of the virus production we considered three compartments of the cell: the <b>extracellular space</b> (all quantities with the index <i>ext</i>), the <b>cytoplasm</b> (<i>cyt</i>) and the <b>nucleus</b> (<i>nuc</i>). On the outside of the cell there are four principle plasmids - the plasmid coding for the <b>helper proteins</b> (<i>helper</i>), the <b>gene of interest</b> (<i>goi</i>) and two types of plasmids coding for the <b>capsid proteins</b> (<i>capwt</i> [wild type], <i>capmod</i> [modified]).<br>
 
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The plasmids are transported over the cell membrane to the cytoplasm and finally into the nucleus where gene expression is initiated.<br>
 
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<center>
 
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<img width="733" height="966" src="https://static.igem.org/mediawiki/2010/b/b8/Freiburg10_VirusProduction01.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<h3>Reduced Reaction Scheme</h3>
 
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<center>
 
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<img width="733" height="643" src="https://static.igem.org/mediawiki/2010/6/68/Freiburg10_VirusProduction02.png" alt="reduced reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<h3>Differential Equations</h3>
 
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<center>
 
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<img width="739" height="899" src="https://static.igem.org/mediawiki/2010/2/24/Freiburg10_VirusProduction03.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<h2>Model for Virus Infection</h2>
 
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<br><br>
 
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<h3>Reaction Scheme</h3>
 
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<center>
 
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<img width="359" height="335" src="https://static.igem.org/mediawiki/2010/9/90/Freiburg10_VirusInfection01.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<h3>Reduced Reaction Scheme</h3>
 
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<center>
 
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<img width="359" height="227" src="https://static.igem.org/mediawiki/2010/8/83/Freiburg10_VirusInfection02.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<center>
 
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<img width="429" height="134" src="https://static.igem.org/mediawiki/2010/3/3f/Freiburg10_VirusInfection03.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<h3>Differential Equations</h3>
 
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<center>
 
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<img width="655" height="314" src="https://static.igem.org/mediawiki/2010/8/85/Freiburg10_VirusInfection04.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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<br><br>
 
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<center>
 
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<img width="800" height="285" src="https://static.igem.org/mediawiki/2010/8/84/Freiburg10_VirusInfection05.png" alt="Reaction scheme for the virus production" />
 
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</center>
 
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</html>
 
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Latest revision as of 17:20, 21 October 2010