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

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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)　　failure only A's


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

[[Image:3d-2.7-30.JPG|250px|none|thumb|Figure 5.2.C 　t=30(min)]　　success!! coexistence]

Figure 5.3.A 　t=0.2(min)
Figure 5.3.B 　t=0.8(min)
Figure 5.3.C 　t=30(min)　　failure only B's



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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