A Moment Closure Method for Stochastic Chemical Reaction Networks with General Kinetics

被引:0
|
作者
Lee, Chang Hyeong [1 ,2 ]
机构
[1] UNIST, Sch Technol Management, Ulsan Metropolitan City 689798, South Korea
[2] UNIST, Appl Math Grad Program, Ulsan Metropolitan City 689798, South Korea
基金
新加坡国家研究基金会;
关键词
SYSTEMS;
D O I
暂无
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The moment closure method is an approximation method for describing the stochastic dynamics of chemical reaction networks. In this paper we develop a moment closure naethod for stochastically modeled chemical reaction networks with general reaction rate laws including mass action, rational and fractional rate laws. Based on the Taylor formula of the reaction rate functions and truncation at a certain order of moment, we find a closed system of equations for the moments. We show the accuracy and efficiency of the method by comparing the simulation results of motivating examples obtained by the moment closure method and the stochastic simulation algorithm.
引用
收藏
页码:785 / 800
页数:16
相关论文
共 50 条
  • [41] On a theory of stability for nonlinear stochastic chemical reaction networks
    Smadbeck, Patrick
    Kaznessis, Yiannis N.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2015, 142 (18):
  • [42] Uniformization techniques for stochastic simulation of chemical reaction networks
    Beentjes, Casper H. L.
    Baker, Ruth E.
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2019, 150 (15):
  • [43] STOCHASTIC APPROACH TO FIRST-ORDER CHEMICAL REACTION KINETICS
    DARVEY, IG
    STAFF, PJ
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1966, 44 (03): : 990 - &
  • [44] Novel moment closure approximations in stochastic epidemics
    Isthrinayagy Krishnarajah
    Alex Cook
    Glenn Marion
    Gavin Gibson
    [J]. Bulletin of Mathematical Biology, 2005, 67 : 855 - 873
  • [45] Novel moment closure approximations in stochastic epidemics
    Krishnarajah, I
    Cook, A
    Marion, G
    Gibson, G
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 2005, 67 (04) : 855 - 873
  • [46] An extension of the moment closure method
    Nåsell, I
    [J]. THEORETICAL POPULATION BIOLOGY, 2003, 64 (02) : 233 - 239
  • [47] Information geometric bound on general chemical reaction networks
    Mizohata, Tsuyoshi
    Kobayashi, Tetsuya J.
    Bouchard, Louis-S.
    Miyahara, Hideyuki
    [J]. PHYSICAL REVIEW E, 2024, 109 (04)
  • [48] Reduction of multiscale stochastic biochemical reaction networks using exact moment derivation
    Kim, Jae Kyoung
    Sontag, Eduardo D.
    [J]. PLOS COMPUTATIONAL BIOLOGY, 2017, 13 (06)
  • [49] A scalable moment-closure approximation for large-scale biochemical reaction networks
    Kazeroonian, Atefeh
    Theis, Fabian J.
    Hasenauer, Jan
    [J]. BIOINFORMATICS, 2017, 33 (14) : I293 - I300
  • [50] Solution of chemical master equations for nonlinear stochastic reaction networks
    Smadbeck, Patrick
    Kaznessis, Yiannis N.
    [J]. CURRENT OPINION IN CHEMICAL ENGINEERING, 2014, 5 : 90 - 95