Slow-scale Tau-leaping Method

Yang Cao; Linda Petzold

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Slow-scale Tau-leaping Method

机译：慢尺度牛头浸出法

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摘要

For chemical systems involving both fast and slow-scales, stiffness presents challenges for efficient stochastic simulation. Two different avenues have been explored to solve this problem. One is the slow-scale stochastic simulation (ssSSA) based on the stochastic partial equilibrium assumption. The other is the tau-leaping method. In this paper, we propose a new algorithm, the slow-scale tau-leaping method, which combines some of the best features of these two methods. Numerical experiments are presented which illustrate the effectiveness of this approach.

机译：对于涉及快速和慢速缩放的化学系统，刚度为有效的随机模拟提出了挑战。已经探索了两种不同的途径来解决该问题。一种是基于随机局部均衡假设的慢规模随机模拟（ssSSA）。另一种是tau-leaping方法。在本文中，我们提出了一种新算法，即慢尺度tau-leaping方法，该算法结合了这两种方法的一些最佳功能。数值实验表明了这种方法的有效性。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2008年第44期|p.3472-3479|共8页
作者
Yang Cao; Linda Petzold;
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作者单位

Department of Computer Science, Virginia Tech, VA 24061, United States;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
关键词
tau-leaping; stochastic simulation algorithm; chemically reacting systems; partial equilibrium; discrete stochastic simulation;

机译：tau-leaping;随机模拟算法;化学反应系统;部分平衡;离散随机模拟;

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1. THE WEAK CONVERGENCE ANALYSIS OF TAU-LEAPING METHODS: REVISITED [J] . YUCHENG HU, TIEJUN LI, BIN MIN Communications in mathematical sciences . 2011,第4期

机译：修正了Tau-leaping方法的弱收敛性分析
2. Implicit Second Order Weak Taylor Tau-Leaping Methods for the Stochastic Simulation of Chemical Kinetics [J] . T.-H. Ahn, A. Sandu Procedia Computer Science . 2011,第1期

机译：化学动力学随机模拟的隐式二阶弱泰勒跨越式方法
3. Highly accurate tau-leaping methods with random corrections [J] . Yucheng Hu, TiejunLi The Journal of Chemical Physics . 2009,第12期

机译：具有随机校正功能的高精度tau-leaping方法
4. Fully Implicit Tau-Leaping Methods for the Stochastic Simulation of Chemical Kinetics [C] . Tae-Hyuk Ahn, Adrian Sandu High performance computing symposium 2011. . 2011

机译：化学动力学随机模拟的完全隐式Tau跨越方法
5. Development of HPLC methods for pharmaceutically relevant molecules; method transfer to UPLC: Comparing methods statistically for equivalence. [D] . Ganti, Satyakala. 2011

机译：开发用于药物相关分子的HPLC方法；方法转移到UPLC：统计比较方法的等效性。
6. Quasi-Monte Carlo Methods Applied to Tau-Leaping in Stochastic Biological Systems [O] . Casper H. L. Beentjes, Ruth E. Baker -1

机译：拟蒙特卡罗方法在随机生物系统中Tau-Leaping的应用
7. Implicit Second Order Weak Taylor Tau-Leaping Methods for the Stochastic Simulation of Chemical Kinetics [O] . Ahn T.-H., Sandu A. 2011

机译：化学动力学随机模拟的隐式二阶弱泰勒跨越式方法
8. Colorimetric Determination of Nitrate Plus Nitrite in Water by Enzymatic Reduction, Automated Discrete Analyzer Methods. Chapter 8. Section B, Methods of the National Water Quality Laboratory, Book 5, Laboratory Analysis. Techniques and Methods 5-B8 [R] . Patton, C. J., Kryskalla, J. R. 2012

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Slow-scale Tau-leaping Method

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