参考文献/References:
[1] Zaikin A N,Zhabotinsky A M.Concentration wave propagation in two-dimensional liquid-phase self-oscillating system [J].Nature,1970,225:535-537.
[2] Thattai M,Van Oudenaarden A.Intrinsic noise in gene regulatory networks [J].Proc Natl Acad Sci U S A,2001,98(15):8614-8619.
[3] 胡长春,周天寿.三类基因振子和它们的基本动力学 [J].江西师范大学学报:自然科学版,2008,32(1):1-5.
[4] Lotka A J.Contribution to the theory of periodic reaction [J].J Phys Chem,1910,14(3):271-274.
[5] Gillespie D T.A general method for numerically simulating the stochastic time evolution of coupled chemical reactions [J].J Comput Phys,1976,22(4):403-434.
[6] 周天寿.基因表达模型的研究进展:概率分布 [J].江西师范大学学报:自然科学版,2012,36(3):221-229.
[7] Zhang Jiajun,Huang Lifang,Zhou Tianshou.Comment on Binomial moment equations for chemical reaction networks [J].Phys Rev Lett,2014,112:088901.
[8] Delbrück M.Statistical fluctuations in autocatalytic reactions [J].J Chem Phys,1940,8(1):120-140.
[9] Van Kampen N G.Stochastic process in physics and chemistry [M].Amsterdam:North-Holland,1992.
[10] Elf J,Ehrenberg M.Fast evaluation of fluctuations in biochemical networks with the linear noise approximation [J].Gen Res,2013,13(11):2475-2484.
[11] Paulsson J.Summing up the noise in gene networks [J].Nature,2004,427:415-418.
[12] Zhang Jiajun,Yuan Zhanjiang,Zhou Tianshou.Physical limits of feedback noise-suppression in biological networks [J].Phys Biol,2009,6(4):046009.
[13] Smadbeck P,Kaznessis Y N.A closure scheme for chemical master equations [J].Proc Natl Acad Sci U S A,2013,110(35):14261-14265.
[14] Zechner C,Ruess J,Krenn P,et al.Moment-based inference predicts bimodality in transient gene expression [J].Proc Natl Acad Sci U S A,2012,109(21):8340-8345.
[15] Grima R.A study of the accuracy of moment-closure approximations for stochastic chemical kinetics [J].J Chem Phys,2012,136(15):154105.
[16] 周天寿.生物系统的随机动力学 [M].北京:科学出版社,2009.
[17] Ale A,Kirk P,Stumpf M P H.A general moment expansion method for stochastic kinetic models [J].J Chem Phys,2013,138(17):174101.
[18] Gibson M A,Bruck J.Efficient exact stochastic simulation of chemical systems with many species and many channels [J].J Phys Chem A,2000,104(9):1876-1889.
[19] Gillespie D T.Approximate accelerated stochastic simulation of chemically reacting systems [J].J Chem Phys,2001,115(4):1716-1733.
[20] Munsky B,Khammash M.The finite state projection algorithm for the solution of the chemical master equation [J].J Chem Phys,2006,124(4):044104.