Team:Tsinghua-A/Modeling/P3A

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  of our model.</p>
  of our model.</p>
<p> Considering the Hill equation in the simplification DDEs, A1<sub>c1</sub> and K<sub>M1</sub>/ρ<sub>1</sub>  should be the same order of magnitude, thus K<sub>M1</sub>/ρ<sub>1</sub>  is a well measurement of quantities of A1<sub>c1</sub>. We have:</p>
<p> Considering the Hill equation in the simplification DDEs, A1<sub>c1</sub> and K<sub>M1</sub>/ρ<sub>1</sub>  should be the same order of magnitude, thus K<sub>M1</sub>/ρ<sub>1</sub>  is a well measurement of quantities of A1<sub>c1</sub>. We have:</p>
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  <p align="LEFT" style="text-indent:1em"><img src="https://static.igem.org/mediawiki/2011/b/be/Part3-1.png" width="705px" height="1258px"></p>
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  <p align="LEFT" style="text-indent:1.2em"><img src="https://static.igem.org/mediawiki/2011/b/be/Part3-1.png" width="705px" height="1258px"></p>
<h1 id="Parameters">Parameters</h1><hr width="100%" size=2 color=gray>
<h1 id="Parameters">Parameters</h1><hr width="100%" size=2 color=gray>

Revision as of 17:45, 25 October 2011

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Modeling::Dimensionless Model

Contents


Dimensionless process


In order to make a further analysis on stability of the system, sensitivity of parameters, feedback factors-we manipulate all the arguments and parameters to make them dimensionless. Analysis of this part is crucial since parameters in vivo experiment may be different and even at odds with modeling ones but a proper dimensionless can reveal the mathematical essence of our model.

Considering the Hill equation in the simplification DDEs, A1c1 and KM11 should be the same order of magnitude, thus KM11 is a well measurement of quantities of A1c1. We have:

Parameters


Results


Sensitivity analysis

Stability analysis

Feedback analysis