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Comparison of the probability distributions for the gene regulation cascade at t=2000: the Gillespie simulation (circle), the reduced Langevin approximation (solid line), and without fast noise (dashed line) for parameter values (a) δ=0.01, α0=0.1, α1=1.0, λ=0.2, θ=15, k=0.05, and β=3 and (b) δ=0.02, α0=0.2, α1=2.0, λ=0.4, θ=50, k=0.001, and β=10, with the initial condition (m,Nϕ0,Nϕ1,n)=(0,1,0,0).
