期刊文献+

随机模拟化学反应系统的加速L-leap算法 被引量:2

L-leaping:Accelerating the Stochastic Simulation of Chemically Reacting Systems
下载PDF
导出
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. Presented here is an L-leap method for accelerating stocastic simulation of well stirred chemically reacting systems, in which the number of reactions occuurring of a reaction channel with the largest propensity function is calculated from the leap condition and the numbers of reasons 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.
机构地区 上海大学数学系
出处 《应用数学和力学》 CSCD 北大核心 2007年第10期1213-1222,共10页 Applied Mathematics and Mechanics
基金 国家自然科学基金资助项目(30571059) 国家高科技研究发展计划(863)专项资助项目(2006AA02Z190)
关键词 L-leap算法 leap条件 随机模拟算法 化学反应系统 L-leap algorithm leap condition stochastic simulation algorithm chemically reacting system
  • 相关文献

参考文献14

  • 1Ideker T, Galitski T, Hood L.A new approach to decoding life: systems biology[J].Annu Tev Genorn Human Genet ,2001,2( 1 ) :343-372.
  • 2Fedoroff N, Fontana W. Genetic networks: Small numbers of big molecules[ J]. Science, 2002,207 (5584) : 1129-1131.
  • 3Gillespie D T. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions[J]. J Comput Phys, 1976,22(4) :403-434.
  • 4Gillespie D T. Exact stochastic simulation of coupled chemical reactions[J], J Chem Phys, 1977,81 (25) :2340- 2361.
  • 5Gibson M, Bruck J. Efficient exact stochastic simulation of chemical systems with many species and many channels[J], J Chem Phys ,2000,104(9) :1876-1889.
  • 6Cao Y, Li H, Petzold L R. Efficient formulation of the stochastic simulation algorithm for chemically reacting systems[ J]. J Comput Phys ,2004,121(9) : 4059-4067.
  • 7McCollum J M, Peterson G D,Cox C D, et al. Tne sorting direct method for stochatc simulation of biochemical systems with varying reaction execution behavior[J]. Comput Biol Chem, 2006,30( 1 ): 39-49.
  • 8Gillespie D T. Approximate accelerated stochastic simulation of chemically reacting systems [ J ]. J Chem Phys ,2001,115(4) : 1716-1733.
  • 9Chatterjee A, Vlachos D G, Katsoulakis M A. Binomial distribution based tau-leap accelerated stochastic simulation[ J]. J Chem Phys , 2005,122(2) :024112.
  • 10Auger A, Chatelain P, Koumoutsakos P. R-leaping: Accelerating the stochastic simulation algorithm by reaction leaps[J], J Chem Phys ,2006,125(8) :084103.

同被引文献3

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部