INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
Prev
Next
|
|
|
Radiation-induced robust oscillation and non-Gaussian fluctuation |
Liu Bo(刘波)a)b)c)†, Yan Shi-Wei (晏世伟)c)d)e), and Geng Yi-Zhao(耿轶钊)c) |
a Key Laboratory for Biomedical Effects of Nanomaterials and Nanosafety, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China; b Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing Normal University, Beijing 100875, China; c College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China; d Beijing Radiation Centre, Beijing 100875, China; e Centre of Theoretical Physics, National Laboratory of Heavy Ion Accelerator of Lanzhou, Lanzhou 730000, China |
|
|
Abstract There have been many recent studies devoted to the consequences of stochasticity in protein circuitry. Stress conditions, including DNA damage, hypoxia, heat shock, nutrient deprivation, and oncogene activation, can result in the activation and accumulation of p53. Several experimental studies show that oscillations can be induced by DNA damage following nuclear irradiation. To explore the underlying dynamical features and the role of stochasticity, we discuss the oscillatory dynamics in the well-studied regulatory network motif. The fluctuations around the fixed point of a delayed system are Gaussian in the limit of sufficiently weak delayed feedback, and remain Gaussian along a limit cycle when viewed tangential to the trajectory. The experimental results are recapitulated in this study. We illustrate several features of the p53 activities, which are robust when the parameters change. Furthermore, the distribution in protein abundance can be characterized by its non-Gaussian nature.
|
Received: 07 September 2010
Revised: 16 August 2011
Accepted manuscript online:
|
PACS:
|
87.16.Yc
|
(Regulatory genetic and chemical networks)
|
|
87.18.Tt
|
(Noise in biological systems)
|
|
05.40.-a
|
(Fluctuation phenomena, random processes, noise, and Brownian motion)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10975019), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Personnel of China (Grant No. MOP2006138), the Fundamental Research Funds for the Central Universities, and the Science Foundation of the Ministry of Science and Technology of China (Grant No. 2012CB934001). |
Cite this article:
Liu Bo(刘波), Yan Shi-Wei (晏世伟), and Geng Yi-Zhao(耿轶钊) Radiation-induced robust oscillation and non-Gaussian fluctuation 2011 Chin. Phys. B 20 128702
|
[1] |
Elowitz M, Levine A, Siggia E and Swain P 2002 Science 297 1183
|
[2] |
Bar-Even A, Paulsson J, Maheshri N, Carmi M, O'Shea E, Pilpel Y and Barkai N 2006 Nat. Genet. 38 636
|
[3] |
Newman J, Ghaemmaghami S, Ihmels J, Breslow D, Noble M, DeRisi J and Weissman J 2006 Nature 441 840
|
[4] |
Raj A and van Oudenaarden A 2009 Ann. Rev. Biophys. 38 255
|
[5] |
Lev Bar-Or R, Maya R, Segel L, Alon U, Levine A and Oren M 2000 Proc. Natl. Acad. Sci. USA 97 11250
|
[6] |
Lahav G, Rosenfeld N, Sigal A, Geva-Zatorsky N, Levine A, Elowitz M and Alon U 2004 Nat. Genet. 36 147
|
[7] |
Tyson J J 2004 Nat. Genet. 36 113
|
[8] |
Ma L, Wagner J, Rice J, Hu W, Levine A and Stolovitzky G 2005 Proc. Natl. Acad. Sci. USA 102 14266
|
[9] |
Geva-Zatorsky N, Rosenfeld N, Itzkovitz S, Milo R, Sigal A, Dekel E, Yarnitzky T, Liron Y, Polak P, Lahav G and Alon U 2006 Mol. Syst. Biol. 2 2006.0033
|
[10] |
Tyson J J 2006 Mol. Syst. Biol. 2 2006.0032
|
[11] |
Batchelor E, Mock C, Bhan I, Loewer A and Lahav G 2008 Mol. Cell 30 277
|
[12] |
Proctor C and Gray D 2008 BMC Syst. Biol. 2 75
|
[13] |
Yan S W and Zhuo Y Z 2006 Physica D 220 157
|
[14] |
Yan S W 2007 J. Biol. Syst. 15 123
|
[15] |
Wilkinson D J 2009 Nat. Rev. Genet. 10 122
|
[16] |
Yan S W, Sakata F and Zhuo Y Z 2002 Phys. Rev. E 65 031111
|
[17] |
Green M S 1954 J. Chem. Phys. 22 398
|
[18] |
Kubo R 1957 J. Phys. Soc. Jpn. 12 570
|
[19] |
Yan S W, Wang Q, Xie B S and Zhang F S 2007 Chin. Phys. Lett. 24 1771
|
[20] |
Risken H 1989 The Fokker-Planck Equation: Methods of Solution and Applications 2nd edn. (Berlin: Springer)
|
[21] |
Frank T D, Beek P J and Friedrich R 2003 Phys. Rev. E 68 021912
|
[22] |
Dieterich P, Klages R, Preuss R and Schwab A 2008 Proc. Natl. Acad. Sci. USA 105 459
|
[23] |
Gheorghiu S and Coppens M O 2004 Proc. Natl. Acad. Sci. USA 101 15852
|
[24] |
Liu B and Goree J 2008 Phys. Rev. Lett. 100 055003
|
[25] |
Scott M 2009 Phys. Rev. E 80 031129
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|