Refining the weighted stochastic simulation algorithm

被引:31
作者
Gillespie, Dan T. [1 ]
Roh, Min [2 ]
Petzold, Linda R. [2 ]
机构
[1] Dan T Gillespie Consulting, Castaic, CA 91384 USA
[2] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA
基金
美国国家卫生研究院;
关键词
chemical reactions; probability; reaction kinetics theory; stochastic processes;
D O I
10.1063/1.3116791
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The weighted stochastic simulation algorithm (wSSA) recently introduced by Kuwahara and Mura [J. Chem. Phys. 129, 165101 (2008)] is an innovative variation on the stochastic simulation algorithm (SSA). It enables one to estimate, with much less computational effort than was previously thought possible using a Monte Carlo simulation procedure, the probability that a specified event will occur in a chemically reacting system within a specified time when that probability is very small. This paper presents some procedural extensions to the wSSA that enhance its effectiveness in practical applications. The paper also attempts to clarify some theoretical issues connected with the wSSA, including its connection to first passage time theory and its relation to the SSA.
引用
收藏
页数:10
相关论文
共 6 条
[1]  
GARDINER CW, 1985, HDB STOCHASTIC METHO, P238
[2]   STOCHASTIC-ANALYTIC APPROACH TO THE CALCULATION OF MULTIPLY SCATTERED LIDAR RETURNS [J].
GILLESPIE, DT .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1985, 2 (08) :1307-1324
[3]  
GILLESPIE DT, 1992, MARKOV PROCESSES INT, P520
[4]   An efficient and exact stochastic simulation method to analyze rare events in biochemical systems [J].
Kuwahara, Hiroyuki ;
Mura, Ivan .
JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (16)
[5]   3-PARTICLE COLLISION EFFECTS IN TRANSPORT PROPERTIES OF A GAS OF HARD SPHERES [J].
SENGERS, JV ;
GILLESPIE, DT ;
PEREZESANDI, JJ .
PHYSICA A, 1978, 90 (3-4) :365-409
[6]  
Welch P.D., 1983, COMPUT PERFORM, P268