http://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&feed=atom&action=historyTeam:RHIT/Modeling.html - Revision history2024-03-29T09:25:12ZRevision history for this page on the wikiMediaWiki 1.16.5http://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=362774&oldid=prevSamoretc at 01:34, 7 January 20142014-01-07T01:34:36Z<p></p>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> strokeWeight(1);</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> strokeWeight(1);</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> noFill();</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> noFill();</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> flagellum(-s, 0, 2, 90 + 0.25 * 1% 360);</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> flagellum(-s, 0, 2, 90 + 0.25 * 1% 360);</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> flagellum(-s, 0, -2, 90 + 0.25 * 1% 360);</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> flagellum(-s, 0, -2, 90 + 0.25 * 1% 360);</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"> //flagellum(-s, 0, 0, 0.25 * frameCount % 360);</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"> //flagellum(-s, -1, -3, 30 + 0.25 * frameCount % 360);</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"> //flagellum(-s, 1, 3, 60 + 0.25 * frameCount % 360);</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"> //flagellum(-s, 0, 2, 90 + 0.25 * frameCount % 360);</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;"> //flagellum(-s, 0, -2, 90 + 0.25 * frameCount % 360);</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> resetMatrix();</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> resetMatrix();</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> // if (!dead){</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> // if (!dead){</div></td></tr>
</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=362773&oldid=prevSamoretc at 01:30, 7 January 20142014-01-07T01:30:04Z<p></p>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"> flagellum(-s, 1, 3, 60 + 0.25 * 1% 360);</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"> flagellum(-s, 0, 2, 90 + 0.25 * 1% 360);</ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins style="color: red; font-weight: bold; text-decoration: none;"> flagellum(-s, 0, -2, 90 + 0.25 * 1% 360);</ins></div></td></tr>
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<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div> flagellum(-s, -1, -3, 30 + 0.25 * frameCount % 360);</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> <ins class="diffchange diffchange-inline">//</ins>flagellum(-s, -1, -3, 30 + 0.25 * frameCount % 360);</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div> flagellum(-s, 1, 3, 60 + 0.25 * frameCount % 360);</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> <ins class="diffchange diffchange-inline">//</ins>flagellum(-s, 1, 3, 60 + 0.25 * frameCount % 360);</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div> flagellum(-s, 0, 2, 90 + 0.25 * frameCount % 360);</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> <ins class="diffchange diffchange-inline">//</ins>flagellum(-s, 0, 2, 90 + 0.25 * frameCount % 360);</div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div> flagellum(-s, 0, -2, 90 + 0.25 * frameCount % 360);</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> <ins class="diffchange diffchange-inline">//</ins>flagellum(-s, 0, -2, 90 + 0.25 * frameCount % 360);</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> resetMatrix();</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> resetMatrix();</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> // if (!dead){</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> // if (!dead){</div></td></tr>
</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=362576&oldid=prevSamoretc at 04:40, 26 December 20132013-12-26T04:40:07Z<p></p>
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<td colspan='2' style="background-color: white; color:black;">Revision as of 04:40, 26 December 2013</td>
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</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=317912&oldid=prevSamoretc at 03:09, 10 October 20132013-10-10T03:09:06Z<p></p>
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</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=317911&oldid=prevSamoretc at 03:07, 10 October 20132013-10-10T03:07:48Z<p></p>
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</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=241402&oldid=prevNighswaj at 03:42, 28 September 20132013-09-28T03:42:58Z<p></p>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentration of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote them with <b><i>K</b></i>. <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentration of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote them with <b><i>K</b></i>. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be <del class="diffchange diffchange-inline">describe </del>with the birth-term <b><i>K Y E.</b></i> <br><br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be <ins class="diffchange diffchange-inline">described </ins>with the birth-term <b><i>K Y E.</b></i> <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Likewise, since the <i>E. coli</i> needs lactate to survive, we will assume that the <i>E. coli</i> and lactate grow at a rate proportional to the rate at which the <i>E. coli</i> and lactate meet. This can be described with the birth term <b><i>K E L.</b></i> <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>Likewise, since the <i>E. coli</i> needs lactate to survive, we will assume that the <i>E. coli</i> and lactate grow at a rate proportional to the rate at which the <i>E. coli</i> and lactate meet. This can be described with the birth term <b><i>K E L.</b></i> <br><br></div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; E represents the concentration of <i>E. coli</i></br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; E represents the concentration of <i>E. coli</i></br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; Y represents the concentration yeast</br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; Y represents the concentration yeast</br></div></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div> &#8226; L represents the concentration of <del class="diffchange diffchange-inline">Lactate</del></br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> &#8226; L represents the concentration of <ins class="diffchange diffchange-inline">lactate</ins></br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; t represents time</br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; t represents time</br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; Parameters $k_1$ through $k_6$ describe the population dynamics<br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> &#8226; Parameters $k_1$ through $k_6$ describe the population dynamics<br><br></div></td></tr>
</table>Nighswajhttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=241248&oldid=prevSamoretc at 03:40, 28 September 20132013-09-28T03:40:40Z<p></p>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentration of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of <del class="diffchange diffchange-inline">Lactate</del>, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote them with <b><i>K</b></i>. <br><br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentration of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of <ins class="diffchange diffchange-inline">lactate</ins>, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote them with <b><i>K</b></i>. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>Likewise, since the <i>E. coli</i> needs lactate to survive, we will assume that the <i>E. coli</i> and lactate grow at a rate proportional to the rate at which the <i>E. coli</i> and <del class="diffchange diffchange-inline">Lactate </del>meet. This can be described with the birth term <b><i>K E L.</b></i> <br><br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>Likewise, since the <i>E. coli</i> needs lactate to survive, we will assume that the <i>E. coli</i> and lactate grow at a rate proportional to the rate at which the <i>E. coli</i> and <ins class="diffchange diffchange-inline">lactate </ins>meet. This can be described with the birth term <b><i><ins class="diffchange diffchange-inline">K E L.</b></i> <br><br></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">Since the yeast or <i>E. coli</i> will die in the absence of each other, we will assume that the yeast and <i>E. coli</i> die at rate proportional to their own concentrations. These decay rates can be described with the terms <b><i>-K Y</b></i> and <b><i>- K E </b></i> respectively. <br><br></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div><ins class="diffchange diffchange-inline">We must also consider what happens to the lactate. The lactate is secreted by the yeast, so we will assume that the lactate grow at a rate proportional to the concentration of yeast. This can be described with the birth term <b><i>K Y L</b></i>. On the other hand, the lactate is being consumed by the <i>E. coli</i>, so it will be degraded at a rate proportional to the rate at which the <i>E. coli</i> and lactate meet. This can be described with the death term <b><i> - </ins>K E L.</b></i> <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">Since the yeast or <i>E. coli</i> will die in the absence of each other, we will assume that the yeast and <i>E. coli</i> die at rate proportional to their own concentrations. This can be described with the death terms <b><i>-K Y</b></i> and <b><i>- K E </b></i> respectively. <br><br></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div><del style="color: red; font-weight: bold; text-decoration: none;">We must also consider what happens to the lactate. The lactate is secreted by the yeast, so we will assume that the lactate grow at a rate proportional to the concentration of yeast or <b><i>K Y L</b></i>. On the other hand, the lactate is being consumed by the <i>E. coli</i>, so it will be degraded at a rate proportional to the rate at which the <i>E. coli</i> and lactate meet or <b><i> - K E L.</b></i> <br><br></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>The following ODEs describe this: </div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>The following ODEs describe this: </div></td></tr>
</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=240415&oldid=prevSamoretc at 03:29, 28 September 20132013-09-28T03:29:48Z<p></p>
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<td colspan='2' style="background-color: white; color:black;">Revision as of 03:29, 28 September 2013</td>
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<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentration of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of Lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote <del class="diffchange diffchange-inline"> this </del>with <b><i>K</b></i>. <br><br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentration of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of Lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote <ins class="diffchange diffchange-inline">them </ins>with <b><i>K</b></i>. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td></tr>
</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=240348&oldid=prevSamoretc at 03:29, 28 September 20132013-09-28T03:29:00Z<p></p>
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<td colspan='2' style="background-color: white; color:black;">Revision as of 03:29, 28 September 2013</td>
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<td colspan="2" class="diff-lineno">Line 7,284:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the <del class="diffchange diffchange-inline">concentrations </del>of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of Lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote this with <b><i>K</b></i>. <br><br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the <ins class="diffchange diffchange-inline">concentration </ins>of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of Lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will use arbitrary constants to describe the population kinetics. We will denote this with <b><i>K</b></i>. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td></tr>
</table>Samoretchttp://2013.igem.org/wiki/index.php?title=Team:RHIT/Modeling.html&diff=240253&oldid=prevSamoretc at 03:27, 28 September 20132013-09-28T03:27:58Z<p></p>
<table style="background-color: white; color:black;">
<col class='diff-marker' />
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<td colspan='2' style="background-color: white; color:black;">← Older revision</td>
<td colspan='2' style="background-color: white; color:black;">Revision as of 03:27, 28 September 2013</td>
</tr><tr><td colspan="2" class="diff-lineno">Line 7,284:</td>
<td colspan="2" class="diff-lineno">Line 7,284:</td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div> In wet lab, we are planning on co-culturing our strains of yeast and <i>E. coli</i>. We envision the species forming a multicellular unit. We want the mathematical model to help inform us of the initial concentrations of yeast and <i>E. coli</i> that we should use in laboratory so that the populations will surivive. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentrations of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of Lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model<del class="diffchange diffchange-inline">, </del>so we will <del class="diffchange diffchange-inline">have </del>arbitrary <del class="diffchange diffchange-inline">constant that </del>describe the <del class="diffchange diffchange-inline">populations which we </del>will denote with <b><i>K</b></i>. <br><br></div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>In the deriving the model, we would like to account for the concentrations of yeast, which we will represent with <b><i>Y</b></i>, the concentration of <i>E. coli</i>, which we will represent with <b><i>E</b></i>, and the concentration of Lactate, which will we will represent with <b><i>L</b></i>. We will use the law of mass action to derive the mathematical model so we will <ins class="diffchange diffchange-inline">use </ins>arbitrary <ins class="diffchange diffchange-inline">constants to </ins>describe the <ins class="diffchange diffchange-inline">population kinetics. We </ins>will denote <ins class="diffchange diffchange-inline"> this </ins>with <b><i>K</b></i>. <br><br></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>First, we will consider the interaction between the yeast and <i>E. coli</i>. Since to survive yeast needs alpha mating factor that the <i>E. coli</i> presents, we will assume that the yeast grow at rate proportional to the rate at which the yeast and <i>E. coli</i> meet. Mathematically, this can be describe with the birth-term <b><i>K Y E.</b></i> <br><br></div></td></tr>
</table>Samoretc