Team:Michigan/Project/Modeling/Model1.html
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= '''<font color=dodgerblue size=6>Sequestillator Model 1: A simple model</font>''' = | = '''<font color=dodgerblue size=6>Sequestillator Model 1: A simple model</font>''' = | ||
- | <div align='center'>[[Image:Model1Equations.png]]</div> | + | <div align='center'>[[Image:Model1Equations.png]] [[Image:Derivation.png]]</div> |
Parameters: | Parameters: | ||
*At= total amount of NifA | *At= total amount of NifA | ||
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<div align='center'>[[Image:chart2.png]]<br> | <div align='center'>[[Image:chart2.png]]<br> | ||
<b>Table 2</b> <br></div> | <b>Table 2</b> <br></div> | ||
- | We see in trial 2, by increasing the range of | + | We see in trial 2, by increasing the range of |
FURTHER WORK THAT WILL BE PRESENTED DURING iGEM POSTER TALKS | FURTHER WORK THAT WILL BE PRESENTED DURING iGEM POSTER TALKS |
Revision as of 01:31, 30 October 2008
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Sequestillator Model 1: A simple modelParameters:
Professor Daniel Forger came up with this model for the Sequestillator. This simple system assumes the total amount of NifA in the system is constant, and considers three variable: NifL mRNA (mL), NifL (La), and a simple covalent modification of NifL (Lb). The quadratic mRNA production function comes from making rapid equilibrium assumptions (see box to the right of the equations. A= free unbound NifA, L = unbound NifL). From analyzing this small model, we were able to see that in order for oscillations to exist, there needed to be a tight binding between NifL and NifA (i.e., Kd is very small) and one-to-one titration of NifL and NifA (the mRNA production function = tmax*A/At, where A is free NifA in the system. A graph of the function vs. Lb is a oblique line).
We see that if we increase our search range for the dissociation constant to 0 to .1, then we get a substantially smaller Ninfa index, illustrating the importance of having a tight binding between NifA and NifL.
There was another aspect of our model that we can also verify: the importance of a one-to-one NifA/NifL titration: We see in trial 2, by increasing the range of FURTHER WORK THAT WILL BE PRESENTED DURING iGEM POSTER TALKS
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