Team:GeorgiaTech/Systems Modeling

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<p><strong>II. Heat transfer in liquid culture </strong></p>
<p><strong>II. Heat transfer in liquid culture </strong></p>
<p><strong>III. Heat transfer in bacterial colony (analytical solution  1D)</strong></p>
<p><strong>III. Heat transfer in bacterial colony (analytical solution  1D)</strong></p>
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<p><strong>IV. Heat  transfer in bacterial colony (computational solution 2D and 3D)</strong></p></center>
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<p><strong>IV. Heat  transfer in bacterial colony (computational solution 2D and 3D)</p></center>
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<p><strong>I) Calculations for rate of heat production in E. coli:</strong></p>
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<p>I) Calculations for rate of heat production in E. coli:</strong></p>
<font color="#FFFFFF"><ul>
<font color="#FFFFFF"><ul>
   <li>800 mV electric potential drop of 4  electrons  generates  5.12 x 10-19 Joules    </li>
   <li>800 mV electric potential drop of 4  electrons  generates  5.12 x 10-19 Joules    </li>
   <li>70% of electrons enter AOX pathway</li>
   <li>70% of electrons enter AOX pathway</li>
   <li>Assume time scale of ATP cycle to calculate  power </li>
   <li>Assume time scale of ATP cycle to calculate  power </li>
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   <li><strong>Power  generated per cell is 1.6 x 10-13 Watt</strong></li>
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   <li>Power  generated per cell is 1.6 x 10-13 Watt</li>
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<p><strong>II) Heat transfer in liquid  culture:</strong></p>
<p><strong>II) Heat transfer in liquid  culture:</strong></p>
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<ul>
<ul>
   <li>Density of bacterial culture can vary by 2  orders of magnitude</li>
   <li>Density of bacterial culture can vary by 2  orders of magnitude</li>
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   <li><strong>Temperature  of system can be raised by 1K in 4 – 40 min. </strong></li>
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   <li>Temperature  of system can be raised by 1K in 4 – 40 min. </li>
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<p><strong>III) Heat transfer in bacterial colony (analytical solution)</strong><br />
<p><strong>III) Heat transfer in bacterial colony (analytical solution)</strong><br />
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<p>3) We solved for boundary conditions by solving two temperature profile   equations simultaneously in MATLAB<br />
<p>3) We solved for boundary conditions by solving two temperature profile   equations simultaneously in MATLAB<br />
   
   
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<center><img src="https://static.igem.org/mediawiki/2010/e/e4/MATLAB.png" width="" height="" img style="border: 2px solid white"></center>
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<center><img src="https://static.igem.org/mediawiki/2010/c/c9/Screen_shot_2010-10-27_at_4.15.42_PM.png" width="" height="" img style="border: 2px solid white"></center>
<center><i>Figure 1. This figure shows the temperature profile of bacteria and  the solid growth media as a function of height. In E. coli, temperature drops  quadratically, and it drops linearly in agarose. This is because of the heat  generation term included within the Poisson equation developed to describe heat  transfer in E. coli. The total drop of temperature at steady state across the  height of bacterial colony and agarose is approximately 0.1 K. </p></i></center>
<center><i>Figure 1. This figure shows the temperature profile of bacteria and  the solid growth media as a function of height. In E. coli, temperature drops  quadratically, and it drops linearly in agarose. This is because of the heat  generation term included within the Poisson equation developed to describe heat  transfer in E. coli. The total drop of temperature at steady state across the  height of bacterial colony and agarose is approximately 0.1 K. </p></i></center>
<p><strong>IV) Heat transport in bacterial  colony 2D and 3D (using COMSOL) </strong><br />
<p><strong>IV) Heat transport in bacterial  colony 2D and 3D (using COMSOL) </strong><br />
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<p>In order to better understand the extent of modeling work done please download the <a href="https://static.igem.org/mediawiki/2010/b/bf/JAMBOREE_6.pdf">modeling presentation</a> and <a href="https://static.igem.org/mediawiki/2010/9/9d/Wiki_modeling.pdf">written summary</a>.
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Latest revision as of 03:35, 28 October 2010