Tokyo/Formulation/5.stochastic differential equation model with poisson random variables

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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>[[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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== ==
we introduced the terms of [[Tokyo/Formulation/4.population model|Ex 4-1]] into a stochastic process to simulate the sthochastic behavior.we used Poisson random variables as a sthochastic process. Threfore,a stochastic differential equations were given as
we introduced the terms of [[Tokyo/Formulation/4.population model|Ex 4-1]] into a stochastic process to simulate the sthochastic behavior.we used Poisson random variables as a sthochastic process. Threfore,a stochastic differential equations were given as
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<br>[[Image:expression5-1.jpg|500px|left|thumb|Ex 5-1]][[Image:parameter4-1.jpg|150px|none|thumb|Table 5]]
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<br>[[Image:expression5-1.jpg|500px|none|thumb|Ex 5-1]]
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<!--[[Image:parameter4-1.jpg|150px|none|thumb|Table 5]]-->
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<br>The values of parameters in the right table were used and the results of simulation were shown in Fig 5.1-3.
<br>The values of parameters in the right table were used and the results of simulation were shown in Fig 5.1-3.
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<br>where α2 = 1(μM) in Fig 5.1,α2 = 2.7(μM) in Fig 5.2,α2 = 4(μM) in Fig 5.3. and it has been estimated that 1(μM) = 1000 molecules (count).
<br>where α2 = 1(μM) in Fig 5.1,α2 = 2.7(μM) in Fig 5.2,α2 = 4(μM) in Fig 5.3. and it has been estimated that 1(μM) = 1000 molecules (count).
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<br>Fig.5.4.1-3 indicate that the distribution of the cells corresponds with the stable equilibrium points.
<br>Fig.5.4.1-3 indicate that the distribution of the cells corresponds with the stable equilibrium points.
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== ==
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[[Tokyo/Formulation/5.stochastic differential equation model with poisson random variables|Step.5]] >> [[Tokyo/Works/Formulation|Formulation TOP]]

Latest revision as of 13:03, 25 October 2007


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

Step1  Step2  Step3  Step4  Step5

we introduced the terms of Ex 4-1 into a stochastic process to simulate the sthochastic behavior.we used Poisson random variables as a sthochastic process. Threfore,a stochastic differential equations were given as


Ex 5-1


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Step.5 >> Formulation TOP