Tokyo/Formulation/3.AHL-experssing model
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<br>[[Image:expression3-3.jpg|300px|none|thumb|Ex 3-4]] | <br>[[Image:expression3-3.jpg|300px|none|thumb|Ex 3-4]] | ||
| - | <br>Therefore, the phase plane of this system can be plotted as | + | <br>Therefore, the phase plane of this system can be plotted as Fig.3.1.A-C and the number of equilibrium points were decided by the value of the parameters: |
<br>[[Image:Phaseplane3-1.jpg|300px|left|thumb|Figure 3.1.A]] [[Image:Phaseplane3-2.jpg|290px|left|thumb|Figure 3.1.B]] [[Image:Phaseplane3-3.jpg|270px|none|thumb|Figure 3.1.C]] | <br>[[Image:Phaseplane3-1.jpg|300px|left|thumb|Figure 3.1.A]] [[Image:Phaseplane3-2.jpg|290px|left|thumb|Figure 3.1.B]] [[Image:Phaseplane3-3.jpg|270px|none|thumb|Figure 3.1.C]] | ||
Revision as of 10:32, 25 October 2007
Works top 0.Hybrid promoter 1.Formulation 2.Assay1 3.Simulation 4.Assay2 5.Future works
Step1 Step2 Step3 Step4 Step5
The differential equaitons of the system considering AHL produced by E.coli themselves were given as
These equations were normalized as follows:
In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as
By substituting the third equation into the second,the nullclines for Ra and Rb were obtained as
Therefore, the phase plane of this system can be plotted as Fig.3.1.A-C and the number of equilibrium points were decided by the value of the parameters:
Step.3 >> Step.4
