Tokyo/Formulation/4.population model

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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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Next, to consider the number of cells, the differential equations for multiple cells were given as
Next, to consider the number of cells, the differential equations for multiple cells 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

Next, to consider the number of cells, the differential equations for multiple cells were given as


Ex4-1

where N indicates the number of the cells.


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


Ex4-2

and then substitute the third equation into the second


Ex4-3
Table4-1


To analyze the equations, the values of parameters in the right table were used.The phase plane are shown in Fig●

Step.4 >> Step.5