[1]周天寿.细胞内部过程中的首达时间[J].江西师范大学学报(自然科学版),2019,(01):1-6.[doi:10.16357/j.cnki.issn1000-5862.2019.01.01]
 ZHOU Tianshou.The First Passage Time in Intracellular Processes[J].Journal of Jiangxi Normal University:Natural Science Edition,2019,(01):1-6.[doi:10.16357/j.cnki.issn1000-5862.2019.01.01]
点击复制

细胞内部过程中的首达时间()
分享到:

《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2019年01期
页码:
1-6
栏目:
生物数学
出版日期:
2019-02-10

文章信息/Info

Title:
The First Passage Time in Intracellular Processes
文章编号:
1000-5862(2019)01-0001-06
作者:
周天寿
中山大学数学学院,广东 广州 510275
Author(s):
ZHOU Tianshou
School of Mathematics,Sun Yat-sen University,Guangzhou Guangdong 510275,China
关键词:
首次穿越时间 主方程 概率分布 统计量 生灭过程
Keywords:
first passage time master equation probability distribution statistical quantity birth-death process
分类号:
O 242; Q 332
DOI:
10.16357/j.cnki.issn1000-5862.2019.01.01
文献标志码:
A
摘要:
细胞行为的宏观变化常常是由微观阈值事件触发的.由于细胞内部过程的随机性,因此阈值触发的细胞事件也是随机的.数学上,跨越阈值事件可以归结为首达时间问题.该文以通俗易懂的方式建立起细胞过程中首达时间的一般数学框架,特别是给出了计算首达时间分布和平均首达时间的一般公式,这些公式具有广泛的应用,并用简单的生灭过程例子来说明如何使用该文的理论和公式.
Abstract:
Macroscopic changes in cellular behavior are triggered often by microscopic threshold events.These events are usually stochastic due to stochasticity of intracellular processes.Mathematically,threshold-crossing events can be formulated as first passage time(FPT)issues.Here,a general mathematical framework for FPTs of cellular processes is established in a simple manner,and in particular,general formulae for calculating FPT distributions and their statistical indices are derived.These formulae can have broad applications.The exemplar of a simple birth-death process is used to show how the theory and formulae are used.

参考文献/References:

[1] Pedraza J M,Paulsson J.Effects of molecular memory and bursting on fluctuations in gene expression[J].Science,2008,319(5861):339-343.
[2] Jia Tao,Kulkarni R V.Intrinsic noise in stochastic models of gene expression with molecular memory[J].Phys Rev Lett,2011,106(5):058102.
[3] Schwabe A,Rybakova K N,Bruggeman F J.Transcription stochasticity of complex gene regulation models[J].Biophys J,2012,103(6):1152-1161.
[4] Kumar N,Singh A,Kulkarni R V.Transcriptional bursting in gene expression:analytical results for general stochastic models[J].PLoS Comput Biol,2015,11(10):e1004292.
[5] Hethcote H W,Driessche P V D.An SIS epidemic model with variable population size and a delay[J].J Math Biol,1995,34(2):177-194.
[6] Bratsun D,Volfson D,Tsimring L S,et al.Delay-induced stochastic oscillations in gene regulation[J].Proc Natl Acad Sci USA,2005,102(41):14593-14598.
[7] Barrio M,Burrage K,Leier A,et al.Oscillatory regulation of Hes1 discrete stochastic delay modelling and simulation[J].PLoS Comput Biol,2006,2(9):1017-1030.
[8] Brett T,Galla T.Stochastic processes with distributed delays:chemical Langevin equation and linearnoise approximation[J].Phys Rev Lett,2013,110(25):250601.
[9] Acar M,Mettetal J T,van Oudenaarden A.Stochastic switching as a survival strategy in fluctuating environments[J].Nat Genet,2008,40(4):471-475.
[10] Moss F,Ward L M,Sannita W G.Stochastic resonance and sensory information processing:a tutorial and review of application[J].Clin Neurophysiol,2014,115(2):267-281.
[11] Elowitz M B,Leibler S.A synthetic oscillatory network of transcriptional regulators[J].Nature,2000,403(6767):335-340.
[12] Elowitz M B,Levine A J,Siggia E D,et al.Stochastic gene expression in a single cell[J].Science,2002,297(5584):1183-1186.
[13] Paulsson J.Summing up the noise in gene networks[J].Nature,2004,427(6973):415-418.
[14] Raj A,van Oudenaarden A.Nature,nurture,or chance:stochastic gene expression and its consequences[J].Cell,2008,135(2):216-226.
[15] Lestas I,Vinnicombe G,Paulsson J.Fundamental limits on the suppression of molecular fluctuations[J].Nature,2010,467(7312):174-178.
[16] Maheshri N,O'Shea E K.Living with noisy genes:How cells function reliably with inherent variability in gene expression[J].Annu Rev Biophys Biomol Struct,2007,36(36):413-434.
[17] Munsky B,Neuert G,van Oudenaarden A.Using gene expression noise to understand gene regulation[J].Science,2012,336(6078):183-187.
[18] Raser J M,O'Shea E K.Noise in gene expression:origins,consequences,and control[J].Science,2005,309(5743):2010-2013.
[19] Paulsson J.Models of stochastic gene expression[J].Phys Life Rev,2005,2(2):157-175.
[20] Friedman N,Cai Long,Xie X Sunney.Linking stochastic dynamics to population distribution:an analytical framework of gene expression[J].Phys Rev Lett,2006,97(16):168302.
[21] Huh D,Paulsson J.Random partitioning of molecules at cell division[J].Proc Natl Acad Sci(USA),2011,108(36):15004-15009.
[22] Locke J C W,Elowitz M B.Using movies to analyse gene circuit dynamics in single cells[J].Nat Rev Microbiol,2009,7(5):383-392.
[23] Mukherji S,van Oudenaarden A.Synthetic biology:understanding biological design from synthetic circuits[J].Nat Rev Genet,2009,10(12):859-871.
[24] Hu Jianzhong,Iyer-Biswas S,Sealfon S C,et al.Power-laws in interferon-B mRNA distribution in virus-infected dendritic cells[J].Biophysical Journal,2009,97(7):1984-1989.
[25] Iyer-Biswas S,Wright C,Henry J,et al.Scaling laws governing stochastic growth and division of single bacterial cells[J].Proc Natl Acad Sci(USA),2014,111(45):15912-15917.
[26] Thomas P.Analysis of cell size homeostasis at the single-cell and population level[J].Frontiers in Physics,2018,6:64.
[27] Kiviet D J,Nghe P,Walker N,et al.Stochasticity of metabolism and growth at the single-cell level[J].Nature,2014,514(7522):376-380.
[28] Talia S D,Skotheim J M,Bean J M,et al.The effects of molecular noise and size control on variability in the budding yeast cell cycle[J].Nature,2007,448(7156):947-951.
[29] Van Kampen N G.Stochastic processes in physics and chemistry[M].Amsterdam:Elsevier,2007.
[30] 周天寿.概率主方程的研究综述[J].江西师范大学学报:自然科学版,2015,39(1):1-6.
[31] Aquino T,Dentz M.Chemical continuous time random walks[J].Phys Rev Lett,2017,119(23):230601.

备注/Memo

备注/Memo:
收稿日期:2018-10-30
基金项目:国家自然科学基金委/重大研究计划/集成(91530320)和面上(11775314)资助项目.
作者简介:周天寿(1962-),男,江西南昌人,教授,博士,博士生导师,主要从事分子系统生物学和计算系统生物学研究.E-mail:mcszhtsh@mail.sysu.edu.cn
更新日期/Last Update: 2019-02-10