Team:Imperial College London/Modelling/Signalling/Detailed Description

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{| style="width:900px;background:#f5f5f5;text-align:justify;font-family: helvetica, arial, sans-serif;color:#555555;margin-top:5px;" cellspacing="20"
{| style="width:900px;background:#f5f5f5;text-align:justify;font-family: helvetica, arial, sans-serif;color:#555555;margin-top:5px;" cellspacing="20"
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|AIP + ComD <html>&harr;</html> AIP-ComD
|AIP + ComD <html>&harr;</html> AIP-ComD
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|-
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|<div ALIGN=CENTER>
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{| style="background:#e7e7e7;text-align:center;font-family: helvetica, arial, sans-serif;color:#555555;margin- top:5px;padding: 2px;" cellspacing="5";
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|-
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|[[Image:IC_Signalling_Results2.png|500px]]
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|-
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|Graph showing production of AIP-ComD
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|}
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</div>
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|-
|'''Equation 2:''' Phosphate binds to the AIP-ComD complex to form another complex (AIP-ComD*)
|'''Equation 2:''' Phosphate binds to the AIP-ComD complex to form another complex (AIP-ComD*)
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|AIP-ComD + Phosphate <html>&harr;</html> AIP-ComD*
|AIP-ComD + Phosphate <html>&harr;</html> AIP-ComD*
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|-  
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|<div ALIGN=CENTER>
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{| style="background:#e7e7e7;text-align:center;font-family: helvetica, arial, sans-serif;color:#555555;margin- top:5px;padding: 2px;" cellspacing="5";
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|-
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|[[Image:IC_Signalling_Results3.png|500px]]
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|-
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|Graph showing production of AIP-ComD*
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|}
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</div>
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|-
|'''Equation 3:''' ComE binds to the AIP-ComD* recepetor to form another complex (AIP-ComD*-ComE)  
|'''Equation 3:''' ComE binds to the AIP-ComD* recepetor to form another complex (AIP-ComD*-ComE)  
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|-  
|AIP-ComD* + ComE <html>&harr;</html> AIP-ComD*-ComE
|AIP-ComD* + ComE <html>&harr;</html> AIP-ComD*-ComE
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|-
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|<div ALIGN=CENTER>
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{| style="background:#e7e7e7;text-align:center;font-family: helvetica, arial, sans-serif;color:#555555;margin- top:5px;padding: 2px;" cellspacing="5";
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|-
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|[[Image:IC_Signalling_Results4.png|500px]]
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|-
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|Graph showing production of AIP-ComD*-ComE
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|}
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</div>
|-
|-
|'''Equation 4:''' Phosphate group on ComD binds to ComE and forms two products: phosphorylated ComE (ComE*) and AIP-ComD
|'''Equation 4:''' Phosphate group on ComD binds to ComE and forms two products: phosphorylated ComE (ComE*) and AIP-ComD
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|-  
|AIP-ComD*-ComE <html>&harr;</html> AIP-ComD + ComE*
|AIP-ComD*-ComE <html>&harr;</html> AIP-ComD + ComE*
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|-
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|<div ALIGN=CENTER>
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{| style="background:#e7e7e7;text-align:center;font-family: helvetica, arial, sans-serif;color:#555555;margin- top:5px;padding: 2px;" cellspacing="5";
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|-
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|[[Image:IC_Signalling_Results1.png|500px]]
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|-
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|Graph showing production of ComE*
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|}
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</div>
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|Using the Law of Mass Action, we can rewrite these 4 equations:  
|Using the Law of Mass Action, we can rewrite these 4 equations:  
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|In the above equations, the forwards reaction constants are represented by <html>k<sub>1,2,3,4,</sub> for the first, second, third and fourth reaction, respectively. The backwards reaction constants are represented by k<sub>-1,-2,-3,-4</sub></html>.
|In the above equations, the forwards reaction constants are represented by <html>k<sub>1,2,3,4,</sub> for the first, second, third and fourth reaction, respectively. The backwards reaction constants are represented by k<sub>-1,-2,-3,-4</sub></html>.
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|style="font-family: helvetica, arial, sans-serif;font-size:2em;color:#ea8828;" align="right"|[[Team:Imperial_College_London/Modelling/Signalling/Results_and_Conclusion | Click here for the results of this model...]]
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Latest revision as of 23:00, 27 October 2010

Modelling Overview | Detection Model | Signaling Model | Fast Response Model | Interactions
A major part of the project consisted of modelling each module. This enabled us to decide which ideas we should implement. Look at the Fast Response page for a great example of how modelling has made a major impact on our design!
Objectives | Description | Results | Constants | MATLAB Code
Detailed Description
We are assuming steady-state for AIP, Phosphate, ComD and ComE in our cell/in the solution. Hence, we can neglect production and degradation rates of ComD and ComE.
IC Signalling Diagram.JPG
Overview of the signalling module
Equation 1: AIP binds to ComD receptor to form a complex (AIP-ComD)
AIP + ComD ↔ AIP-ComD
IC Signalling Results2.png
Graph showing production of AIP-ComD
Equation 2: Phosphate binds to the AIP-ComD complex to form another complex (AIP-ComD*)
AIP-ComD + Phosphate ↔ AIP-ComD*
IC Signalling Results3.png
Graph showing production of AIP-ComD*
Equation 3: ComE binds to the AIP-ComD* recepetor to form another complex (AIP-ComD*-ComE)
AIP-ComD* + ComE ↔ AIP-ComD*-ComE
IC Signalling Results4.png
Graph showing production of AIP-ComD*-ComE
Equation 4: Phosphate group on ComD binds to ComE and forms two products: phosphorylated ComE (ComE*) and AIP-ComD
AIP-ComD*-ComE ↔ AIP-ComD + ComE*
IC Signalling Results1.png
Graph showing production of ComE*
Using the Law of Mass Action, we can rewrite these 4 equations:
IC Signalling Equation.png
In the above equations, the forwards reaction constants are represented by k1,2,3,4, for the first, second, third and fourth reaction, respectively. The backwards reaction constants are represented by k-1,-2,-3,-4.
Click here for the results of this model...