Difference between revisions of "Team:Warwick/BindingAffinity"
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<br>By letting | <br>By letting | ||
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<p><img src="https://static.igem.org/mediawiki/2015/2/25/Warwickmodeling2.png" align="left" height="300px" width="400px" border="1px"></p> | <p><img src="https://static.igem.org/mediawiki/2015/2/25/Warwickmodeling2.png" align="left" height="300px" width="400px" border="1px"></p> | ||
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<br>We can solve this differential equation using separation of variables. | <br>We can solve this differential equation using separation of variables. | ||
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<p><img src="https://static.igem.org/mediawiki/2015/4/4f/Warwickmodeling3.png" align="left" height="300px" width="400px" border="1px"></p><br><br><br><br> | <p><img src="https://static.igem.org/mediawiki/2015/4/4f/Warwickmodeling3.png" align="left" height="300px" width="400px" border="1px"></p><br><br><br><br> | ||
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<br>Where χ is an unknown constant. To find χ we set A=A_0 at t=0. | <br>Where χ is an unknown constant. To find χ we set A=A_0 at t=0. | ||
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<p><img src="https://static.igem.org/mediawiki/2015/d/d4/Warwickmodeling4.png" align="left" height="300px" width="400px" border="1px"></p><br><br><br><br><br><br><br> | <p><img src="https://static.igem.org/mediawiki/2015/d/d4/Warwickmodeling4.png" align="left" height="300px" width="400px" border="1px"></p><br><br><br><br><br><br><br> | ||
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<br>Note that 4ac-b^2 is negative, so the square root cannot be calculated. We now rearrange to cancel out imaginary parts. | <br>Note that 4ac-b^2 is negative, so the square root cannot be calculated. We now rearrange to cancel out imaginary parts. | ||
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<p><img src="https://static.igem.org/mediawiki/2015/6/66/Warwickmodeling5.png" align="left" height="320px" width="450px" border="1px"></p><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> | <p><img src="https://static.igem.org/mediawiki/2015/6/66/Warwickmodeling5.png" align="left" height="320px" width="450px" border="1px"></p><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> | ||
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<br>Therefore | <br>Therefore | ||
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<br>Substituting the values for a, b, and c. | <br>Substituting the values for a, b, and c. | ||
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<p><img src="https://static.igem.org/mediawiki/2015/1/1f/Warwickmodeling7.png" align="left" height="500px" width="700px" border="1px"></p><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> | <p><img src="https://static.igem.org/mediawiki/2015/1/1f/Warwickmodeling7.png" align="left" height="500px" width="700px" border="1px"></p><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> | ||
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<br>Let | <br>Let | ||
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<br>Then | <br>Then | ||
Revision as of 09:40, 17 September 2015
