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

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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.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>The values of parameters in the right table were used and the results of simulation were shown in Fig 5.1-3.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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[[Image:3d-1-0.2.JPG|250px|left|thumb|Figure 5.1.A] t=0.2(min)]
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[[Image:3d-1-0.2.JPG|250px|left|thumb|Figure 5.1.A t=0.2(min)]]
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[[Image:3d-1-0.8.JPG|250px|left|thumb|Figure 5.1.B] t=0.8(min)]
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[[Image:3d-1-0.8.JPG|250px|left|thumb|Figure 5.1.B t=0.8(min)]]
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[[Image:3d-1-30.JPG|250px|none|thumb|Figure 5.1.C] t=30(min)]
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[[Image:3d-1-30.JPG|250px|none|thumb|Figure 5.1.C t=30(min)]]
<br>
<br>
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[[Image:3d-2.7-0.2.JPG|250px|left|thumb|Figure 5.2.A] t=0.2(min)]
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[[Image:3d-2.7-0.2.JPG|250px|left|thumb|Figure 5.2.A t=0.2(min)]]
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[[Image:3d-2.7-0.8.JPG|250px|left|thumb|Figure 5.2.B] t=0.8(min)]
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[[Image:3d-2.7-0.8.JPG|250px|left|thumb|Figure 5.2.B t=0.8(min)]]
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[[Image:3d-2.7-30.JPG|250px|none|thumb|Figure 5.2.C] t=30(min)]
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[[Image:3d-2.7-30.JPG|250px|none|thumb|Figure 5.2.C t=30(min)]]
<br>
<br>
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[[Image:3d-4-0.2.JPG|250px|left|thumb|Figure 5.3.A] t=0.2(min)]
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[[Image:3d-4-0.2.JPG|250px|left|thumb|Figure 5.3.A t=0.2(min)]]
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[[Image:3d-4-0.8.JPG|250px|left|thumb|Figure 5.3.B] t=0.8(min)]
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[[Image:3d-4-0.8.JPG|250px|left|thumb|Figure 5.3.B t=0.8(min)]]
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[[Image:3d-4-30.JPG|250px|none|thumb|Figure 5.3.C] t=30(min)]
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[[Image:3d-4-30.JPG|250px|none|thumb|Figure 5.3.C t=30(min)]]
<br>パラメータを３種類使ってシミュレーションした結果が以下である．
<br>パラメータを３種類使ってシミュレーションした結果が以下である．
これとstep4のdetermineの相平面とを比べるとこうですよ．
これとstep4のdetermineの相平面とを比べるとこうですよ．

Revision as of 09:06, 24 October 2007

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
Table 5


The values of parameters in the right table were used and the results of simulation were shown in Fig 5.1-3.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).

Figure 5.1.A t=0.2(min)
Figure 5.1.B t=0.8(min)
Figure 5.1.C t=30(min)


Figure 5.2.A t=0.2(min)
Figure 5.2.B t=0.8(min)
Figure 5.2.C t=30(min)


Figure 5.3.A t=0.2(min)
Figure 5.3.B t=0.8(min)
Figure 5.3.C t=30(min)



パラメータを３種類使ってシミュレーションした結果が以下である． これとstep4のdetermineの相平面とを比べるとこうですよ．

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