Team:TUDelft/Modeling

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<br>
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='''Delay Device'''=
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[[Image:Negative Feedforward.jpg]]<br>
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Figure 1: Negative Feedforward model<br>
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[[Image:Riboregulator_delay.jpg]]<br>
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Figure 2: Riboregulator model<br>
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==Mathematical Modeling==
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The Negative Feedforward model shown above can be expressed with the following set of ODEs (ordinary differential equations):<br>
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[[Image:negative_feedforward_ODEs_2.jpg]]<br><br>
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The Riboregulator model shown above can be expressed with the following set of ODEs:<br>
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[[Image:riboregulator_ODEs.jpg]]<br><br>
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The symbols in this system of equations are found in the table below:<br>
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[[Image:symbols_table.jpg]]<br><br>
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We would like to give credit to the [https://2008.igem.org/Team:Bologna/Modeling Bologna '08 team] and [https://2008.igem.org/Team:UNIPV-Pavia/Modeling UNIPV-Pavia '08 team], who's project was useful in determining our own equations.
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='''Conjugation'''=
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Using the paper "[http://www3.interscience.wiley.com/journal/118837812/abstract?CRETRY=1&SRETRY=0 A model for bacterial conjugal gene transfer on solid surfaces]", we established the assumptions and parameters that would be needed for the .
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=='''Assumptions'''==
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=='''Parameters'''==
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='''Modeling'''=
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*Surface area of media (A)
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*Initial colony radius (r_0)
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*Specific growth rate (g_n)
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*Colony radial growth rate (g_r)
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*Maximum numbers of cells sustained by system (N_max)
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*Initial number of donors (N_d) and recipients (N_r)
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All these parameters can be determined experimentally, or by literary research into previous conjugation experiments.
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=='''Spatial distribution of bacteria'''==
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=='''Growth of colonies'''==
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Please select one of the two modeling sections: [[Team:TUDelft/Modeling_Cascade |Transcriptional Cascade Modeling]] or [[Team:TUDelft/Modeling_Conjugation |Conjugation Modeling]].
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=='''Contact between colonies'''==
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<table border=0>
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=='''Conjugation modeling'''==
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<td>
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=='''Final cell number'''==
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<a border=0 href=https://2009.igem.org/Team:TUDelft/Modeling_Cascade><img src=https://static.igem.org/mediawiki/2009/f/f9/TUDtranscriptmodelani.gif></a>
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</td>
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<img src=https://static.igem.org/mediawiki/2009/f/f1/TUD1pxspacer.png width=40px>
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</td>
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<a border=0 href=https://2009.igem.org/Team:TUDelft/Modeling_Conjugation><img src=https://static.igem.org/mediawiki/2009/2/21/TUDconjmodelani.gif></a>
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</td>
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</tr>
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</table>
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</html>
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Latest revision as of 16:43, 17 October 2009

Modeling

Please select one of the two modeling sections: Transcriptional Cascade Modeling or Conjugation Modeling.