Difference between revisions of "Team:ULV-LC-CV/Model"

Revision as of 02:36, 20 October 2016

Team:ULV-LC-CV-2016.igem.org

♦Enzyme Kinetics with Lauric Acid♦

Figure was based off of the Michaelis-Menten enzyme reaction: E + S1 + S2ES1+ES2E+P using the values from Sherkanov et. al paper and the following equations: dx(1)=-k1*x(1)*x(2)+k2*x(3)-k5*x(1)*x(4)+k6*x(6)+k9*x(5); dx(2)=-k1*x(1)*x(2)+k2*x(3)+k8*x(5)-k7*x(6)*x(2); dx(3)=-k3*x(3)*x(4)+k4*x(5)-k2*x(3)+k1*x(1)*x(2); dx(4)=-k5*x(1)*x(4)-k6*x(6)+k4*x(5)-k3*x(3)*x(4); dx(5)=k3*x(3)*x(4)+k7*x(6)*x(2)-(k8+k4+k9)*x(5); dx(6)=-k7*x(6)*x(2)+k8*x(5)-k6*x(6)+k5*x(1)*x(4); dx(7)=k9*x(5); Where k1=ka with a value of 7.7min-1; k2=ka2 with a value of 144 min-1; k3=a*k5 with a value is 7.7min-1; k4=a*k6; k5=kb1 with a value is 7.7min-1; k6=kb2 with a value of 0.103min-1; k7=a*k1; k8=a*k2; k9=k7 with a value of 7.7min-1; x(1)=[DmJHAMT] with a value of 3.32μM; x(2)=[SAM] with a value of 0.05μM; x(3)=[DmJHAMT+SAM]; x(4)=[Lauric acid] with a value of 59μM; x(5)=[DmJHAMT+SAM+Lauric acid]; x(6)=[DmJHAMT+Lauric acid]; x(7)=[FAMEs]; ‘a’ is a constant of 1 since it just represents alpha. The starting concentration of lauric acid (59μM) slowly decreases as time progresses because it converts to FAMEs as it gets methylated by s-adenosyl methionine (SAM) with the help of Drosophila melanogaster juvenile hormone adenyl methyltransferase (DmJHAMT). Because of low intracellular concentrations of SAM (0.05μM) and DmJHAMT (3.32μM), FAME production is not seen on this graph.

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+<h2 style="float:left" id="tst1" <b> ♦Enzyme Kinetics with Lauric Acid♦</b></h2><br><br>
+ <img style="float:left" class="sponsors" src="
+https://lh3.googleusercontent.com/vzFrmlnI1dBo-CBW84xZk-cTaXJt2pRQmnhXl28HxiWBSg30ApUrkU8lc6g1QepLFC3Zyb84BYg167s6BpnBNq6EoTvlYh0yU5ojs6dveGZCQ_aD_BSfcRbP_GjDg75K04AmTHWHKS2NgghXw0MBYMf4KWG94VVaARHAI6ookeAiXWQEMxL3nYfYGZSFM-GtgtXKCT9caEgnJKsMFEOHwxJKZiQqsfFApW4Om7a21RRqvpeWSxDmeEGgY0S2oEO14lbR_b9I2KiNYvGlyHhf-0KnSYAm7TPZjjix5tdXvD8N9YNdDKfJKelRja02CnX0W6ObXy7kwLYTogW4MotlPhJuUONFF0MIQhn1G2AI6rDdgwjmvyJCh4GlDKqYoLsbK5-Q5AsUzeQ8HBLjsKFLGMW2jDSta41QKTSIFoioz-XMFEKBWWTUiS4WU0Bm1kgiQGv-Zt0bB8BrnUTb6CWsyglqeDvjZoFJBgkAaDhHlJHXp9I4gaV8LF89tjWLvHFYCmjuWd0XZ-qVP_8uNPnMb8KhpGApP5Ks6cNZe9JxQNX6LRijHIOwExNT5z3LGceLBMRw058X=w1257-h741-k
+" width="350px"; hspace="20">
+<div id="textbox">
+<p class="align right" style="border:3px; border-style:dashed; border-color:green; padding: 1em;margin:100px;" >Figure was based off of the Michaelis-Menten enzyme reaction:
+ E + S1 + S2ES1+ES2E+P using the values from Sherkanov et. al paper and the following equations:
+dx(1)=-k1*x(1)*x(2)+k2*x(3)-k5*x(1)*x(4)+k6*x(6)+k9*x(5); dx(2)=-k1*x(1)*x(2)+k2*x(3)+k8*x(5)-k7*x(6)*x(2);
+dx(3)=-k3*x(3)*x(4)+k4*x(5)-k2*x(3)+k1*x(1)*x(2);
+dx(4)=-k5*x(1)*x(4)-k6*x(6)+k4*x(5)-k3*x(3)*x(4);
+dx(5)=k3*x(3)*x(4)+k7*x(6)*x(2)-(k8+k4+k9)*x(5);
+dx(6)=-k7*x(6)*x(2)+k8*x(5)-k6*x(6)+k5*x(1)*x(4);
+dx(7)=k9*x(5);
+Where k1=ka with a value of 7.7min-1; k2=ka2 with a value of 144 min-1;  k3=a*k5 with a value is 7.7min-1; k4=a*k6; k5=kb1 with a value is 7.7min-1; k6=kb2 with a value of 0.103min-1; k7=a*k1; k8=a*k2; k9=k7 with a value of 7.7min-1; x(1)=[DmJHAMT] with a value of 3.32μM; x(2)=[SAM] with a value of 0.05μM; x(3)=[DmJHAMT+SAM]; x(4)=[Lauric acid] with a value of 59μM; x(5)=[DmJHAMT+SAM+Lauric acid]; x(6)=[DmJHAMT+Lauric acid]; x(7)=[FAMEs]; ‘a’ is a constant of 1 since it just represents alpha.
+The starting concentration of lauric acid (59μM) slowly decreases as time progresses because it converts to FAMEs as it gets methylated by s-adenosyl methionine (SAM) with the help of Drosophila melanogaster juvenile hormone adenyl methyltransferase (DmJHAMT). Because of low intracellular concentrations of SAM (0.05μM) and DmJHAMT (3.32μM), FAME production is not seen on this graph.   </p></div><br><br><br><br><br>
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