An efficient finite-difference strategy for sensitivity analysis of stochastic models of biochemical systems

被引:8
作者
Morshed, Monjur [1 ]
Ingalls, Brian [1 ]
Ilie, Silvana [2 ]
机构
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[2] Ryerson Univ, Dept Math, Toronto, ON M5B 2K3, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Stochastic simulation algorithm; Stochastic models of biochemical kinetics; tau-Leaping method; Sensitivity analysis; Adaptive time-stepping; Chemical Master Equation; COUPLED CHEMICAL-REACTIONS; TIME MARKOV-CHAINS; REACTING SYSTEMS; SIMULATION; KINETICS;
D O I
10.1016/j.biosystems.2016.11.006
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Sensitivity analysis characterizes the dependence of a model's behaviour on system parameters. It is a critical tool in the formulation, characterization, and verification of models of biochemical reaction networks, for which confident estimates of parameter values are often lacking. In this paper, we propose a novel method for sensitivity analysis of discrete stochastic models of biochemical reaction systems whose dynamics occur over a range of timescales. This method combines finite-difference approximations and adaptive tau-leaping strategies to efficiently estimate parametric sensitivities for stiff stochastic biochemical kinetics models, with negligible loss in accuracy compared with previously published approaches. We analyze several models of interest to illustrate the advantages of our method. (C) 2016 Elsevier Ireland Ltd. All rights reserved.
引用
收藏
页码:43 / 52
页数:10
相关论文
共 50 条
[41]   UNCERTAINTY QUANTIFICATION AND SENSITIVITY ANALYSIS OF MATERIAL PARAMETERS IN CRYSTAL PLASTICITY FINITE ELEMENT MODELS [J].
Khadyko, Mikhail ;
Sturdy, Jacob ;
Dumoulin, Stephane ;
Hellevik, Leif Rune ;
Hopperstad, Odd Sture .
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2018, 13 (03) :379-400
[42]   Automatic selection of verification tools for efficient analysis of biochemical models [J].
Bakir, Mehmet Emin ;
Konur, Savas ;
Gheorghe, Marian ;
Krasnogor, Natalio ;
Stannett, Mike .
BIOINFORMATICS, 2018, 34 (18) :3187-3195
[43]   Sensitivity analysis with finite changes: An application to modified EOQ models [J].
Borgonovo, E. .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 200 (01) :127-138
[44]   Efficient topology optimization of optical waveguide devices utilizing semi-vectorial finite-difference beam propagation method [J].
Iguchi, Akito ;
Tsuji, Yasuhide ;
Yasui, Takashi ;
Hirayama, Koichi .
OPTICS EXPRESS, 2017, 25 (23) :28210-28222
[45]   Design and sensitivity analysis of dynamical systems subjected to stochastic loading [J].
Jensen, HA .
COMPUTERS & STRUCTURES, 2005, 83 (14) :1062-1075
[46]   STOCHASTIC SENSITIVITY ANALYSIS OF PRIMARY-SECONDARY STRUCTURAL SYSTEMS [J].
HUANG, CD ;
SOCHA, L ;
SOONG, TT .
ENGINEERING STRUCTURES, 1993, 15 (02) :135-142
[47]   Novel method for analyzing the transient behavior of grounding systems based on the finite-difference time-domain method [J].
Tanabe, K .
2001 IEEE POWER ENGINEERING SOCIETY WINTER MEETING, CONFERENCE PROCEEDINGS, VOLS 1-3, 2001, :1128-1132
[48]   An efficient nonlinear finite-difference approach in the computational modeling of the dynamics of a nonlinear diffusion-reaction equation in microbial ecology [J].
Macias-Diaz, J. E. ;
Macias, Siegfried ;
Medina-Ramirez, I. E. .
COMPUTATIONAL BIOLOGY AND CHEMISTRY, 2013, 47 :24-30
[49]   Finite-difference time-domain analysis of light propagation in cholesteric liquid crystalline droplet array [J].
Yamamoto, Kaho ;
Iwai, Yosuke ;
Uchida, Yoshiaki ;
Nishiyama, Norikazu .
JAPANESE JOURNAL OF APPLIED PHYSICS, 2016, 55 (08)
[50]   A Comparative Study of Viscoelastic Rheological Models Using Finite-Difference Method and an Evaluation of the Seismic Attenuation in the Buzios Field Data [J].
Augusto, Fabricio O. A. ;
Moreira, Roger M. M. ;
Cetale, Marco ;
Tostes, Danielle M. M. ;
Soares Filho, Djalma M. .
PURE AND APPLIED GEOPHYSICS, 2023, 180 (08) :2939-2957