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Team:Paris/Modeling/Esai
From 2008.igem.org
(New page: == Mathematical Interpretation and Simulation of the Molecular Reactions == First, we consider the '''complexation phenomenon'''. We show, under the <span style="color:#0000FF;">quasi ste...) |
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Then, we apply these results to the <span style="color:#0000FF;">Molecular Reactions</span> of our system. That gives all the theoretical calculation of the complexations, and finally, with the <span style="color:#0000FF;">previous assumptions</span>, we get the <span style="color:#0000FF;">equations of the full system of ODEs</span>. | Then, we apply these results to the <span style="color:#0000FF;">Molecular Reactions</span> of our system. That gives all the theoretical calculation of the complexations, and finally, with the <span style="color:#0000FF;">previous assumptions</span>, we get the <span style="color:#0000FF;">equations of the full system of ODEs</span>. | ||
| - | + | '''Complexation Steady-State''' <br> | |
The double triangle ('''><''') is a symbol for complexations : <br> | The double triangle ('''><''') is a symbol for complexations : <br> | ||
[[Image:compl.jpg|110px]] means ''n<sub>1</sub>'' molecules of ''FlhDC'' complexed with a ''pFliA'' promoter<br><br> | [[Image:compl.jpg|110px]] means ''n<sub>1</sub>'' molecules of ''FlhDC'' complexed with a ''pFliA'' promoter<br><br> | ||
| Line 18: | Line 18: | ||
|'''On the Example :''' <br> | |'''On the Example :''' <br> | ||
| - | <small> How given amounts of ''FlhDC'' and ''FliA'' would produce ''FP1'' ? </small><br> | + | |<small> How given amounts of ''FlhDC'' and ''FliA'' would produce ''FP1'' ? </small><br> |
| - | <br> | + | |<br> |
| - | * ''FlhDC'' and ''FliA'' bind to ''pFliL''<br> | + | |* ''FlhDC'' and ''FliA'' bind to ''pFliL''<br> |
| - | following "Hill functions" : <br> | + | |following "Hill functions" : <br> |
| - | [[Image:DCiLcomplEq.jpg|270px]] | + | |[[Image:DCiLcomplEq.jpg|270px]] |
| - | + | |[[Image:AiLcomplEq.jpg|270px]] | |
| - | [[Image:AiLcomplEq.jpg|270px]] | + | |
'''Equations of the Full System''' <br> | '''Equations of the Full System''' <br> | ||
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|'''On the Example :''' <br> | |'''On the Example :''' <br> | ||
| - | <small> How given amounts of ''FlhDC'' and ''FliA'' would produce ''FP1'' ? </small> | + | |<small> How given amounts of ''FlhDC'' and ''FliA'' would produce ''FP1'' ? </small> |
| - | <br> | + | |<br> |
| - | * ''FlhDC><pFliL'' and ''FliA><pFliL'' causes "production" of ''FP1'', diluted along times : | + | |* ''FlhDC><pFliL'' and ''FliA><pFliL'' causes "production" of ''FP1'', diluted along times : |
| - | <br> | + | |<br> |
| - | [[Image:bFP1dot.jpg|bFP1dot.jpg]] | + | |[[Image:bFP1dot.jpg|bFP1dot.jpg]] |
| - | the outlined parameters are necessary and enough to fully characterize ƒ5 | + | |the outlined parameters are necessary and enough to fully characterize ƒ5 |
| - | + | ||
<div style="text-align: right">For complete PDF with all Reactions and Numbered References : [[https://static.igem.org/mediawiki/2008/6/61/Equa_Core_System.pdf|complete list of reactions/equations]] </div> | <div style="text-align: right">For complete PDF with all Reactions and Numbered References : [[https://static.igem.org/mediawiki/2008/6/61/Equa_Core_System.pdf|complete list of reactions/equations]] </div> | ||
Revision as of 17:06, 28 October 2008
Mathematical Interpretation and Simulation of the Molecular Reactions
First, we consider the complexation phenomenon. We show, under the quasi steady-state hypothesis, how it leads to Non-Linear interactions like "Hill functions".
Then, we apply these results to the Molecular Reactions of our system. That gives all the theoretical calculation of the complexations, and finally, with the previous assumptions, we get the equations of the full system of ODEs.
Complexation Steady-State
The double triangle (><) is a symbol for complexations :
means n1 molecules of FlhDC complexed with a pFliA promoter
|On the Example :
| How given amounts of FlhDC and FliA would produce FP1 ?
|
|* FlhDC and FliA bind to pFliL
|following "Hill functions" :
|
|
Equations of the Full System
The double triangle (><) is a symbol for complexations :
means n1 molecules of FlhDC complexed with a pFliA promoter
|On the Example :
| How given amounts of FlhDC and FliA would produce FP1 ?
|
|* FlhDC><pFliL and FliA><pFliL causes "production" of FP1, diluted along times :
|
|
|the outlined parameters are necessary and enough to fully characterize ƒ5
