Tokyo/Formulation/3.AHL-experssing model

From 2007.igem.org

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<br>[[Tokyo/Works|Works top]]　　0.[[Tokyo/Works/Hybrid promoter|Hybrid promoter]]　　1.[[Tokyo/Works/Formulation |Formulation]]　　2.[[Tokyo/Works/Assay |Assay1]]　　3.[[Tokyo/Works/Simulation |Simulation]]　　4.[[Tokyo/Works/Assay2 |Assay2]]　　5.[[Tokyo/Works/Future works |Future works]]
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<br><br>'''Assay1'''　　[[Tokyo/Formulation/1.toggle model |Step1]]　　[[Tokyo/Formulation/2.toggle model with hybrid promoter |Step2]]　　[[Tokyo/Formulation/3.AHL-experssing model|Step3]]　　[[Tokyo/Formulation/4.population model|Step4]]　　[[Tokyo/Formulation/5.stochastic differential equation model with poisson random variables|Step5]]
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<br>The differential equaitons of the system considering AHL produced by E.coli themselves were given as
<br>The differential equaitons of the system considering AHL produced by E.coli themselves were given as

Revision as of 06:47, 25 October 2007


Works top　　0.Hybrid promoter　　1.Formulation　　2.Assay1　　3.Simulation　　4.Assay2　　5.Future works

Assay1　　Step1　　Step2　　Step3　　Step4　　Step5


The differential equaitons of the system considering AHL produced by E.coli themselves were given as


Ex 3-1
Table 3


These equations were normalized as follows:


Ex 3-2


In the steady state,time derivatives are zero.As a result,the nullclines of this system were derived as


Ex 3-3


By substituting the third equation into the second,the nullclines for Ra and Rb were obtained as


Ex 3-4


Therefore, the phase plane of this system can be plotted as Fig● and the number of equilibrium points were decided by the value of the parameters:


Figure 3.1.A
Figure 3.1.B
Figure 3.1.C

Step.3 >> Step.4

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