Team:GeorgiaTech/Systems Modeling
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<td bgcolor="#964141" width="900"><font color="#FFFFFF" size=4><p><center>Heat Transfer Modeling Aims</font></center></p> | <td bgcolor="#964141" width="900"><font color="#FFFFFF" size=4><p><center>Heat Transfer Modeling Aims</font></center></p> | ||
<center><p><strong>The following models were devised:</strong></p> | <center><p><strong>The following models were devised:</strong></p> | ||
- | <p | + | <p>I. Rate of heat production via AOX pathway</strong></p> |
<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> | ||
- | <p><strong>IV. Heat transfer in bacterial colony (computational solution 2D and 3D) | + | <p><strong>IV. Heat transfer in bacterial colony (computational solution 2D and 3D)</p></center> |
- | <p | + | <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> | ||
- | <li | + | <li>Power generated per cell is 1.6 x 10-13 Watt</li> |
</ul> | </ul> | ||
<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> | ||
- | <li | + | <li>Temperature of system can be raised by 1K in 4 – 40 min. </li> |
</ul> | </ul> | ||
<p><strong>III) Heat transfer in bacterial colony (analytical solution)</strong><br /> | <p><strong>III) Heat transfer in bacterial colony (analytical solution)</strong><br /> |
Revision as of 01:08, 28 October 2010
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AOX pathway is responsible for thermogenesis in various organisms. But to what extent it would be responsible for heat production in genetically engineered bacteria remains an interesting question. Georgia Tech modeling team aimed at theorizing an answer to this question using both analytical and computational methods. The primary goal was to suggest a calorimetric technique with optimal sensitivity, as well as to compare heat transfer in liquid culture and bacterial colonies. |
The following models were devised: I. Rate of heat production via AOX pathway II. Heat transfer in liquid culture III. Heat transfer in bacterial colony (analytical solution 1D) IV. Heat transfer in bacterial colony (computational solution 2D and 3D) I) Calculations for rate of heat production in E. coli:
II) Heat transfer in liquid culture:
1.Liquid solution can be assumed water
III) Heat transfer in bacterial colony (analytical solution) The following information was also known:
3) We solved for boundary conditions by solving two temperature profile equations simultaneously in MATLAB ![]() IV) Heat transport in bacterial colony 2D and 3D (using COMSOL) ![]() Figure 2. ![]() Figure 3. Figure 2 and 3 were developed in COMSOL. They depict 2D and 3D heat transfer in bacterial colony and agarose. The difference between peak temperatures in both scenarios did not differ by more than 0.006K which indicates that a 2D control volume may provide sufficiently accurate representation for heat transport modeling. In a 2D control volume, heat is transferred radially to the environment. If high aspect ratio is implemented, as in case of a uniform stretch of bacterial colony formed on a petri dish, then 1D control volume will be sufficient. V) Conclusions:
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