Tokyo/Formulation/4.population model

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<br>[[Image:expression4-3.jpg|400px|none|thumb|Ex4-3]]
<br>[[Image:expression4-3.jpg|400px|none|thumb|Ex4-3]]
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[[Image:parameter4-1.jpg|right|thumb|150px|Table4-1]]
[[Image:parameter4-1.jpg|right|thumb|150px|Table4-1]]
<br>To analyze the equations, the values of parameters in the right table were used.The phase plane are shown in Fig●
<br>To analyze the equations, the values of parameters in the right table were used.The phase plane are shown in Fig●
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<br>
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== ==
== ==
[[Tokyo/Formulation/4.population_model|Step.4]] >> [[Tokyo/Formulation/5.stochastic differential equation model with poisson random variables|Step.5]]
[[Tokyo/Formulation/4.population_model|Step.4]] >> [[Tokyo/Formulation/5.stochastic differential equation model with poisson random variables|Step.5]]

Revision as of 13:07, 25 October 2007


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

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


Step.4 >> Step.5