| 随机模拟化学反应系统的加速L-leap算法 |
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| 引用本文： | 彭新俊,王翼飞.随机模拟化学反应系统的加速L-leap算法[J].应用数学和力学,2007,28(10):1213-1222. |
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| 作者姓名： | 彭新俊 王翼飞 |
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| 作者单位： | 上海大学 数学系,上海 200444 |
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| 基金项目： | 国家自然科学基金;国家高技术研究发展计划(863计划) |
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| 摘 要： | 提出了随机模拟化学反应系统的加速L-leap算法，该算法根据leap条件确定具有最大倾向函数的反应通道的反应次数，并利用二项分布随机数生成其它反应通道在当前leap时间区间内的反应次数．L-leap算法可更好地满足leap条件．数值模拟实验表明该算法能取得更好的模拟性能．
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| 关 键 词： | L-leap算法 leap条件 随机模拟算法 化学反应系统 |
| 文章编号： | 1000-0887（2007）10-1213-10 |
| 收稿时间： | 2007-04-18 |
| 修稿时间： | 2007-04-18 |
L-leaping: Accelerating the Stochastic Simulation of Chemically Reacting Systems |
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| PENG Xin-jun,WANG Yi-fei.L-leaping: Accelerating the Stochastic Simulation of Chemically Reacting Systems[J].Applied Mathematics and Mechanics,2007,28(10):1213-1222. |
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| Authors: | PENG Xin-jun WANG Yi-fei |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | Presented here is an L-leap method for accelerating stochastic simulation of well stirred chemically reacting systems,in which the number of reactions occurring of a reaction channel with the largest propensity function is calculated from the leap condition and the numbers of reactions occurring of the other reaction channels are generated by using binomial random variables during a leap.The L-leap method can better satisfy the leap condition.Numerical simulation results indicate that the L-Leap method can obtain better performance than established methods. |
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| Keywords: | L-leap algorithm leap condition stochastic simulation algorithm chemically reacting system |
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