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Figure 9 | BMC Bioinformatics

Figure 9

From: Accelerated maximum likelihood parameter estimation for stochastic biochemical systems

Figure 9

Effects of parameter perturbation on decay-dimerization cross-entropy phase. Red, blue, green, and orange lines represent MCEM2 parameter estimates θ ̂ 1 , θ ̂ 2 , θ ̂ 3 , and θ ̂ 4 , respectively, as a function of cross-entropy (CE) phase iteration number. Solid lines display parameter values observed using perturbation (λ = .25), while dotted lines depict parameter values obtained without perturbation (λ = 0). Perturbation substantially accelerated completion of the CE phase, both in number of iterations (23 versus 152) and, more strikingly, in simulation time (59 s versus 32 min). Final CE phase parameter estimates were approximately the same whether or not perturbation was used.

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