EFFICIENT UNBIASED τ-LEAP METHODS FOR SIMULATING COUPLED CHEMICAL REACTIONS
模拟化学反应系统的快速无偏τ-Leap算法

The leap algorithms significantly accelerate stochastic simulation of chemically reacting systems with some acceptable losses by considering the leap condition. Recently, the unbiased leap methods are considered to overcome the deficiency appears in leap algorithms, in which the means of reaction numbers during a leap are not equal to the true ones. In this paper an efficient version of the unbiased τ-leap method is proposed by considering the relative changes of species to calculate true means. Further, this algorithm is extent to chemically reacting systems with delays. The new algorithms are easier to code, and faster to execute than the former. The speed-up in execution will be especially pronounced in systems that have many reaction channels or species.