Property of the RJMCMC sampler for the partially observed case of the auto-regulatory gene network. Panel a, c, and e plot the total number of reactions in each of the samples generated by RJMCMC, corresponding to three different observation datasets with Δt = 0.1, 0.5 and 1 respectively. Panel b, d, and f shows the autocorrelation on the number of reactions corresponding to panel a, c, and e respectively. The rate parameters used are (k1,...k8) = (0.1, 0.7, 0.143, 0.35, 0.3, 0.1, 0.9, 0.11, 0.2, 0.1). Only three species, mRNA, P and P2, are observed.