Tokyo/Works/Formulation

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< Tokyo/Works
Revision as of 14:55, 26 October 2007 by Akama (Talk | contribs)


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


Step1  Step2  Step3  Step4  Step5

Step1. toggle model

First, we saw the qualitative nature implied by simple dimentionless equations and found that the number of the stable points is one or two. Since our model must have A and B states, the number of its stable points should be two.
For the parameters required for this bistability, we have found that the expression rates and Hill coefficients are critical. ⇒ see more
Expression1-2.jpg

Step2. toggle model with hybrid promoter

Factors of the hybrid promoter should be incorporated into the equations; that is, the term of the repression of toggle by LacI and that of the activation by AHL should be added. By these additions, the phase changes dependent on the amount of AHL. Lower concentration of AHL, monostable; while, higher one gives bistable. ⇒ see more
Expression2-4.jpgAHLresponse2-2.jpg




AHLresponse2-3.jpgAHLresponse2-4.jpgAHLresponse2-5.jpg

Step3. using cell-produced AHL

Now develop this system to the one with cell-produced AHL. This time, the nullcrine is assymetric and the phaseplane is unconventionally shaped. Here the new parameter λ is introduced whether monostalbe or bistable of the system depends on the velues of several parameters.  ⇒ see more
Expression3-1.jpg
Phaseplane3-1.jpg Phaseplane3-2.jpg Phaseplane3-3.jpg



 


 Before(Hybrid promoter) << Formulation >> Formulation Step.1 >>>> Next(Assay1)