Abstract: The recently proposed delay stochastic simulation algorithm (DSSA) is an exact but inefficient simulation method for numerically simulating the stochastic dynamics of chemically reacting systems with delays. Presented here is a delay τ leaping (D_τL) method, which is an accelerated method for simulating chemically reacting systems with delays. In this method the leap time is calculated from the leap condition, and the number of reactions occurring of each channel during τ is randomly determined according to its approximated probability density function. This approach can accelerate simulation with acceptable simulation accuracy. Numerical experiments show that the D_τL algorithm has good performance for simulating chemically reacting systems with delay.

Key words: D_τL algorithm, stochastic simulation algorithm, chemically reacting system with delays