Effect of population scales on the efficiency of the MSMC and the HyMSMC methods. (a) Computational acceleration over SSA achieved with the MSMC (dotted line) and the HyMSMC (solid lines for two values of simulation time, 104 s and 105 s) methods, as a function of population scales in network (A1). The speedup factor is evaluated as a ratio of CPU time required for an equilibrium simulation of time t, using the SSA and the multiscale schemes. The system parameters used are given in Table 1. (b) Number of slow events (squares) and average number of fast relaxation events per slow event (triangles) to complete a single run of duration t as a function of population. The simulations were performed with the MSMC method (open symbols) and the HyMSMC method (filled symbols) using the parameters given in Table 1.