Efficient step size selection for the tau-leaping simulation method
Efficient step size selection for the tau-leaping simulation method
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DOI：
10.1063/1.2159468
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发表时间：
2006-01-28
影响因子：
4.4
通讯作者：
Petzold, LR
中科院分区：
文献类型：
--
作者：
Cao, Y;Gillespie, DT;Petzold, LR
模拟充分搅拌的化学反应系统的随机时间演化的τ跳跃方法使用泊松近似来采取跨越许多反应事件的时间步长。理论意味着，只要在任何时间步长τ期间没有倾向函数“显著”改变其值，τ跳跃就应该是准确的。这里提出的是一个改进的程序，估计最大值的τ是符合这一条件。这种新的tau选择过程比目前使用的过程更准确，更容易编码，执行速度更快。在具有许多反应通道的系统中，执行的加速将特别明显。(c)2006年，美国物理学会。
The tau-leaping method of simulating the stochastic time evolution of a well-stirred chemically reacting system uses a Poisson approximation to take time steps that leap over many reaction events. Theory implies that tau leaping should be accurate so long as no propensity function changes its value "significantly" during any time step tau. Presented here is an improved procedure for estimating the largest value for tau that is consistent with this condition. This new tau-selection procedure is more accurate, easier to code, and faster to execute than the currently used procedure. The speedup in execution will be especially pronounced in systems that have many reaction channels. (c) 2006 American Institute of Physics.