Tokyo/Formulation/5.stochastic differential equation model with poisson random variables
From 2007.igem.org
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).
[[Image:3d-1-0.2.JPG|250px|left|thumb|Figure 5.1.A] t=0.2(min)]
[[Image:3d-1-0.8.JPG|250px|left|thumb|Figure 5.1.B] t=0.8(min)]
[[Image:3d-1-30.JPG|250px|none|thumb|Figure 5.1.C] t=30(min)]
[[Image:3d-2.7-0.2.JPG|250px|left|thumb|Figure 5.2.A] t=0.2(min)]
[[Image:3d-2.7-0.8.JPG|250px|left|thumb|Figure 5.2.B] t=0.8(min)]
[[Image:3d-2.7-30.JPG|250px|none|thumb|Figure 5.2.C] t=30(min)]
[[Image:3d-4-0.2.JPG|250px|left|thumb|Figure 5.3.A] t=0.2(min)]
[[Image:3d-4-0.8.JPG|250px|left|thumb|Figure 5.3.B] t=0.8(min)]
[[Image:3d-4-30.JPG|250px|none|thumb|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.