Team:Michigan/Project/Modeling/Model1
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Revision as of 02:42, 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 At to 0 to 15 (and hence increasing the chance of having larger values of At), we have a reduction in the Ninfa index, as the system is unbalanced (too much At around). We return to similar Trial 1 results when we also vary tmax between 0 to 15 in Trial 3. FURTHER WORK THAT WILL BE PRESENTED DURING iGEM POSTER TALKS
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