Tokyo/Formulation/5.stochastic differential equation model with poisson random variables
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<br>[[Image:expression5-1.jpg|400px|left|thumb|Ex 5-1]][[Image:parameter4-1.jpg|150px|none|thumb|Table 5]] | <br>[[Image:expression5-1.jpg|400px|left|thumb|Ex 5-1]][[Image:parameter4-1.jpg|150px|none|thumb|Table 5]] | ||
- | <br>The values of parameters in the right table were used and the results of simulation were shown in Fig 5.1 | + | <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). |
[[Image:3d-1-0.2.JPG|250px|left|thumb|Figure 5.1.A]] | [[Image:3d-1-0.2.JPG|250px|left|thumb|Figure 5.1.A]] | ||
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[[Image:3d-2.7-30.JPG|250px|none|thumb|Figure 5.2.C]] | [[Image:3d-2.7-30.JPG|250px|none|thumb|Figure 5.2.C]] | ||
<br> | <br> | ||
- | [[Image:3d-4-0.2.JPG|250px|left|thumb|Figure 5. | + | [[Image:3d-4-0.2.JPG|250px|left|thumb|Figure 5.3.A]] |
- | [[Image:3d-4-0.8.JPG|250px|left|thumb|Figure 5. | + | [[Image:3d-4-0.8.JPG|250px|left|thumb|Figure 5.3.B]] |
- | [[Image:3d-4-30.JPG|250px|none|thumb|Figure 5. | + | [[Image:3d-4-30.JPG|250px|none|thumb|Figure 5.3.C]] |
<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 09:04, 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
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).
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.