Computation of Steady-State Probability Distributions in Stochastic Models of Cellular Networks
Figure 4
Calculating steady-state distributions for a toggle switch.
(A) Circuit diagram. (B) The probability distribution, based only on intrinsic noise, for parameters Ku = Kv = 1, ru = rv = 10, β = γ = 2, du = dv = 1. This was calculated by solving the CME directly. U and V are expressed in molecule numbers for each distribution. (C) The same distribution except with extrinsic noise added (σ1 = σ2 = 2); peak spreading is evident. (D) The intrinsic-noise-only distribution except with ru = rv = 1000; calculated using scaling; peak focusing is evident. (E) A sample (10000 points) from this distribution (intrinsic noise only), using modified Gibbs sampling using the same parameters as in (B). (F) Another 10,000-point sample, generated the same way except with extrinsic noise (σ1 = σ2 = 1).