Team:LCG-UNAM-Mexico/Notebook/2008-August
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<td colspan="3" rowspan="2"><img src="https://static.igem.org/mediawiki/igem.org/b/b3/LCG_copy.png" alt="Header image" width="524" height="143" border="0" /></td> | <td colspan="3" rowspan="2"><img src="https://static.igem.org/mediawiki/igem.org/b/b3/LCG_copy.png" alt="Header image" width="524" height="143" border="0" /></td> | ||
<td height="50" colspan="3" id="logo" valign="bottom" align="center" nowrap="nowrap">LCG-UNAM-Mexico</td> | <td height="50" colspan="3" id="logo" valign="bottom" align="center" nowrap="nowrap">LCG-UNAM-Mexico</td> | ||
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<br /> </td> | <br /> </td> | ||
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<strong>5th Reaction </strong> <br /> | <strong>5th Reaction </strong> <br /> | ||
<strong>Reminder:</strong> </p> | <strong>Reminder:</strong> </p> | ||
- | <p>A + B <--> | + | <p>A + B <--> AB <br /> |
- | <strong>Ka=Keq=[AB]/[A][B]=1/Kd</strong> | + | <strong>Ka=Keq=[AB]/[A][B]=1/Kd</strong> <br /> |
θ=[AB]/([AB]+[A])=[B]/([B]+Kd) </p> | θ=[AB]/([AB]+[A])=[B]/([B]+Kd) </p> | ||
- | <p><strong><u>MWC Model</u></strong> (Cooperativity) | + | <p><strong><u>MWC Model</u></strong> (Cooperativity) <br /> |
- | A + nB <--> | + | A + nB <--> ABn <br /> |
- | <strong>Ka=Keq=[ABn]/[A][B]n=1/Kd</strong> | + | <strong>Ka=Keq=[ABn]/[A][B]n=1/Kd</strong> <br /> |
- | θ=[B]n/([B]n+Kd) | + | θ=[B]n/([B]n+Kd) <br /> |
- | log(θ/(1- θ))=nlog(B)-log(kd) | + | log(θ/(1- θ))=nlog(B)-log(kd) …Hill's equation</p> |
- | <p> | + | <p> </p> |
<p><strong>Suppression mediated by cI:</strong> <br /> | <p><strong>Suppression mediated by cI:</strong> <br /> | ||
- | ρ + nCI <--> ρ: | + | ρ + nCI <--> ρ:CIn (k+, k-) <br /> |
- | <strong>Keq=Ka=[ρ:CIn]/[ρ][CI] | + | <strong>Keq=Ka=[ρ:CIn]/[ρ][CI]n <br /> |
- | </strong>Si ρ0=[ρ]+[ρ:CIn] | + | </strong>Si ρ0=[ρ]+[ρ:CIn] <br /> |
… ρ0=[ρ]+Keq[ρ][CI]n <br /> | … ρ0=[ρ]+Keq[ρ][CI]n <br /> | ||
=> ρ= (ρ0/Keq)/((1/keq)+[CI]n) </p> | => ρ= (ρ0/Keq)/((1/keq)+[CI]n) </p> | ||
<p>Flow= k+[ρ][CI]n = K+((ρ0/Keq)/((1/Keq)+[CI]n))[CI]n </p> | <p>Flow= k+[ρ][CI]n = K+((ρ0/Keq)/((1/Keq)+[CI]n))[CI]n </p> | ||
<p><strong>Flow= k+</strong><strong>([ρ</strong><strong>0</strong><strong>]/K</strong><strong>eq</strong><strong>)</strong> <strong>[CI]n / ((1/Keq)+[CI]n)</strong></p> | <p><strong>Flow= k+</strong><strong>([ρ</strong><strong>0</strong><strong>]/K</strong><strong>eq</strong><strong>)</strong> <strong>[CI]n / ((1/Keq)+[CI]n)</strong></p> | ||
- | <p><strong>=> </strong><strong>Vm= k</strong><strong>+</strong>([ρ0]/Keq)<strong> | + | <p><strong>=> </strong><strong>Vm= k</strong><strong>+</strong>([ρ0]/Keq)<strong> & Kp=1/Keq=K</strong>d </p> |
<p><strong>So:</strong> <br /> | <p><strong>So:</strong> <br /> | ||
- | Keq = exp( -ΔG / R T ) | + | Keq = exp( -ΔG / R T ) <br /> |
k+ = (KB/h) T exp( -ΔG / R T ) = (KB/h) T Keq </p> | k+ = (KB/h) T exp( -ΔG / R T ) = (KB/h) T Keq </p> | ||
<table bgcolor="#cc99ff" border="1" bordercolor="#000000" cellpadding="1" cellspacing="1" width="423"> | <table bgcolor="#cc99ff" border="1" bordercolor="#000000" cellpadding="1" cellspacing="1" width="423"> | ||
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<td width="53" nowrap="nowrap"><p>Keq= </p></td> | <td width="53" nowrap="nowrap"><p>Keq= </p></td> | ||
<td width="90" nowrap="nowrap"><p>2.89517E+17 </p></td> | <td width="90" nowrap="nowrap"><p>2.89517E+17 </p></td> | ||
- | <td width="52" nowrap="nowrap"><p> | + | <td width="52" nowrap="nowrap"><p> </p></td> |
<td width="39" nowrap="nowrap"><p><strong>K</strong><strong>B</strong><strong>=</strong> </p></td> | <td width="39" nowrap="nowrap"><p><strong>K</strong><strong>B</strong><strong>=</strong> </p></td> | ||
<td width="69" nowrap="nowrap"><p>1.38E-23 </p></td> | <td width="69" nowrap="nowrap"><p>1.38E-23 </p></td> | ||
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<br /> | <br /> | ||
Thus: <br /> | Thus: <br /> | ||
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Keq = exp (- ΔG 'º / R T) <br /> | Keq = exp (- ΔG 'º / R T) <br /> | ||
- | + | ||
k + = (KB / h) T exp (- ΔG ‡ / RT) ≠ (KB / h) T Keq</p> | k + = (KB / h) T exp (- ΔG ‡ / RT) ≠ (KB / h) T Keq</p> | ||
<p> </p> | <p> </p> | ||
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<td class="bodyText"><p></p> | <td class="bodyText"><p></p> | ||
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Revision as of 10:50, 2 October 2008
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