Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Colored noise induced switch in the gene transcriptional regulatory system

Wang Can-Jun

Citation:

Colored noise induced switch in the gene transcriptional regulatory system

Wang Can-Jun
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • The colored noise induced switch in the gene transcriptional regulatory system is investigated. The approximate Fokker-Planck equation is obtained based on the Novikov theorem and the Fox approach. The explicit expressions of the steady state probability distribution, the mean value, and the mean first passage time are derived. After the numerical computations, these results show that the TF-A monomer concentration switches from the off position to the on position with the self-correlation time of the multiplicative noise increasing. The TF-A monomer concentration switches from the on position to the off position with the self-correlation time of the additive noise increasing. With the two kinds of the self-correlation time increasing, the mean first passage time becomes large, namely, the TF-A monomer concentration switch becomes difficult. The theoretical predictions are found to be in basic agreement with numerical results.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11047146, 10865006), the Science Foundation of the Education Bureau of Shaanxi Province of China (Grant No. 09JK331), the Natural Science Foundation of Shaanxi Province of China (Grant No. 2010JQ1014), and the Science Foundation of Baoji University of Science and Arts of China (Grant No. ZK0954).
    [1]

    Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Press) (in Chinese ) [胡岗 1994 随机力与非线性系统 (上海: 上海科技教育出版社)]

    [2]

    Landa P S, McClintock P V E 2000 Phys. Rep. 323 1

    [3]

    Gammaitoni L, Hänggi P, Jung P, Marchesoni M 1998 Rev. Mod. Phys. 70 223

    [4]

    Li J H 2002 Phys. Rev. E 66 031104

    [5]

    Ning L J, Xu W 2007 Acta Phys. Sin. 56 1944 (in Chinese ) [宁丽娟, 徐伟 2007 物理学报 56 1944]

    [6]

    Jia Y, Li J R 1997 Phys. Rev. Lett. 78 994

    [7]

    Castro F, Sáchez A D, Wio H S 1995 Phys. Rev. Lett. 75 1691

    [8]

    Cao L, Wu D J, Ke S Z 1995 Phys. Rev. E 52 3228

    [9]

    Jia Y, Li J R 1996 Phys. Rev. E 53 5764

    [10]

    Luo X Q, Zhu S Q 2001 Acta Phys. Sin. 51 0977 (in Chinese ) [罗晓琴, 朱士群 2001 物理学报 51 0977]

    [11]

    Wang C J, Chen S B, Mei D C 2006 Chin. Phys. 15 1435

    [12]

    Ai B Q,Wang X J , Liu G T, Liu L G 2003 Phys. Rev. E 67 022903

    [13]

    Mei D C , Xie G Z, Zhang L 2004 Eur. Phys. J. B 41 107

    [14]

    Wang C J, Wei Q, Mei D C 2007 Modern Phys. Lett. B 21 789

    [15]

    Wang C J, Wei Q, Zheng B B, Mei D C 2008 Acta Phys. Sin. 57 1375 (in Chinese) [王参军, 魏群, 郑宝兵, 梅冬成 2008 物理学报 57 1375]

    [16]

    Dubkov A A, Agudov N V, Spagnolo B 2004 Phys. Rev. E 69 061103

    [17]

    Jia Z L 2008 Chin. Phys. Lett. 25 1209

    [18]

    Agudov N V, Spagnolo B 2001 Phys. Rev. E 64 035102

    [19]

    Zhu S 1993 Phys. Rev. A 47 2405

    [20]

    Zhang L Y, Cao L, Wu D J 2002 Acta Phys. Sin. 52 1174 (in Chinese) [张良英, 曹力, 吴大进 2002 物理学报 52 1174]

    [21]

    Spagnolo B, Valenti D, Fiasconaro A 2004 arXiv:q-bio. PE/0403004 and references

    [22]

    Vilar J M G, Solé R V 1998 Phys. Rev. Lett. 80 4099

    [23]

    Zhong W R, Shao Y Z, He Z H 2006 Chin. Phys. Lett. 23 742

    [24]

    Nie L R, Mei D C 2007 Eur. Phys. Lett. 79 20005

    [25]

    Paulsson J 2004 Nature 427 415

    [26]

    Raser J M, O’Shea Erin K 2005 Science 309 2010

    [27]

    Smolen P, Baxter D A, Byrne J H 1998 Am. J. Physiol. 274 C531

    [28]

    Smolen P, Baxter D A, Byrne J H 1999 Am. J. Physiol. 277 C777

    [29]

    Liu Q, Jia Y 2004 Phys. Rev. E 70 041907.

    [30]

    Wang C J, Mei D C 2008 Acta Phys. Sin. 57 3983 (in Chinese ) [王参军, 梅冬成 2008 物理学报 57 3983]

    [31]

    Wang J Y, Zhu C L, Jia Y, Li J R 2006 Chin. Phys. Lett. 23 1398

    [32]

    Wang C J 2010 Chin. Phys. B 19 030503

    [33]

    Liu X M, Xie H Z, Liu L G, Li Z B 2009 Physica A 388 392

    [34]

    Zeng C H, Xie C W 2008 Chin. Phys. Lett. 25 1587

    [35]

    Liang G Y, Cao L, Wu D J 2004 Physica A 335 371

    [36]

    Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880

    [37]

    Masoliver J, West B J, Lindenbergerg K 1987 Phys. Rev. A 35 3086

  • [1]

    Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Press) (in Chinese ) [胡岗 1994 随机力与非线性系统 (上海: 上海科技教育出版社)]

    [2]

    Landa P S, McClintock P V E 2000 Phys. Rep. 323 1

    [3]

    Gammaitoni L, Hänggi P, Jung P, Marchesoni M 1998 Rev. Mod. Phys. 70 223

    [4]

    Li J H 2002 Phys. Rev. E 66 031104

    [5]

    Ning L J, Xu W 2007 Acta Phys. Sin. 56 1944 (in Chinese ) [宁丽娟, 徐伟 2007 物理学报 56 1944]

    [6]

    Jia Y, Li J R 1997 Phys. Rev. Lett. 78 994

    [7]

    Castro F, Sáchez A D, Wio H S 1995 Phys. Rev. Lett. 75 1691

    [8]

    Cao L, Wu D J, Ke S Z 1995 Phys. Rev. E 52 3228

    [9]

    Jia Y, Li J R 1996 Phys. Rev. E 53 5764

    [10]

    Luo X Q, Zhu S Q 2001 Acta Phys. Sin. 51 0977 (in Chinese ) [罗晓琴, 朱士群 2001 物理学报 51 0977]

    [11]

    Wang C J, Chen S B, Mei D C 2006 Chin. Phys. 15 1435

    [12]

    Ai B Q,Wang X J , Liu G T, Liu L G 2003 Phys. Rev. E 67 022903

    [13]

    Mei D C , Xie G Z, Zhang L 2004 Eur. Phys. J. B 41 107

    [14]

    Wang C J, Wei Q, Mei D C 2007 Modern Phys. Lett. B 21 789

    [15]

    Wang C J, Wei Q, Zheng B B, Mei D C 2008 Acta Phys. Sin. 57 1375 (in Chinese) [王参军, 魏群, 郑宝兵, 梅冬成 2008 物理学报 57 1375]

    [16]

    Dubkov A A, Agudov N V, Spagnolo B 2004 Phys. Rev. E 69 061103

    [17]

    Jia Z L 2008 Chin. Phys. Lett. 25 1209

    [18]

    Agudov N V, Spagnolo B 2001 Phys. Rev. E 64 035102

    [19]

    Zhu S 1993 Phys. Rev. A 47 2405

    [20]

    Zhang L Y, Cao L, Wu D J 2002 Acta Phys. Sin. 52 1174 (in Chinese) [张良英, 曹力, 吴大进 2002 物理学报 52 1174]

    [21]

    Spagnolo B, Valenti D, Fiasconaro A 2004 arXiv:q-bio. PE/0403004 and references

    [22]

    Vilar J M G, Solé R V 1998 Phys. Rev. Lett. 80 4099

    [23]

    Zhong W R, Shao Y Z, He Z H 2006 Chin. Phys. Lett. 23 742

    [24]

    Nie L R, Mei D C 2007 Eur. Phys. Lett. 79 20005

    [25]

    Paulsson J 2004 Nature 427 415

    [26]

    Raser J M, O’Shea Erin K 2005 Science 309 2010

    [27]

    Smolen P, Baxter D A, Byrne J H 1998 Am. J. Physiol. 274 C531

    [28]

    Smolen P, Baxter D A, Byrne J H 1999 Am. J. Physiol. 277 C777

    [29]

    Liu Q, Jia Y 2004 Phys. Rev. E 70 041907.

    [30]

    Wang C J, Mei D C 2008 Acta Phys. Sin. 57 3983 (in Chinese ) [王参军, 梅冬成 2008 物理学报 57 3983]

    [31]

    Wang J Y, Zhu C L, Jia Y, Li J R 2006 Chin. Phys. Lett. 23 1398

    [32]

    Wang C J 2010 Chin. Phys. B 19 030503

    [33]

    Liu X M, Xie H Z, Liu L G, Li Z B 2009 Physica A 388 392

    [34]

    Zeng C H, Xie C W 2008 Chin. Phys. Lett. 25 1587

    [35]

    Liang G Y, Cao L, Wu D J 2004 Physica A 335 371

    [36]

    Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880

    [37]

    Masoliver J, West B J, Lindenbergerg K 1987 Phys. Rev. A 35 3086

Metrics
  • Abstract views:  5560
  • PDF Downloads:  430
  • Cited By: 0
Publishing process
  • Received Date:  25 February 2011
  • Accepted Date:  11 April 2011
  • Published Online:  05 January 2012

/

返回文章
返回