Abstract:

    A τ-selected strategy that ascertain the τ-value is proposed in this paper. It is developed as an improved τ-leap algorithm. The τ-selected strategy can effectively reflect change numbers of the species in biochemical systems, while the improved τ-leaping algorithm is more effective and practical to stochastic simulation of biochemical reaction systems than other algorithms. We take two models of biochemical reaction systems as examples, and carry out simulation using accurate SSA algorithm, improved τ--leaping algorithm, and the present modified τ-leap respectively. Numerical results demonstrate that, compared with modified τ-leap algorithm, the improvedτ-leap algorithm can significantly increase simulation precision with the same computation complexity under the same condition.

Key words: stochastic simulation algorithm , τ-selected strategy , τ-leap algorithm , biochemical reaction system