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Chin. Phys. B, 2010, Vol. 19(4): 040506    DOI: 10.1088/1674-1056/19/4/040506
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A mathematical model of a P53 oscillation network triggered by DNA damage

Xia Jun-Feng(夏俊峰) and Jia Ya(贾亚)
Department of Physics and Institute of Biophysics, Central China Normal University, Wuhan 430079, China
Abstract  Taking the interaction between a DNA damage repair module, an ATM module, and a P53--MDM2 oscillation module into account, this paper presents a mathematical model of a P53 oscillation network triggered by a DNA damage signal in individual cells. The effects of the DNA damage signal and the delay time of P53-induced MDM2 expression on the behaviours of the P53 oscillation network are studied. In the oscillatory state of the P53--MDM2 oscillator, it is found that the pulse number of P53--P oscillation increases with the increase of the initial DNA damage signal, whereas the amplitude and the period of P53--P oscillation are fixed for different initial DNA damage signals, and the period numbers of P53--P oscillations decrease with the increase of time delay of MDM2 expression induced by P53. These theoretical predictions are consistent with previous experimental results. The combined negative feedback of P53--MDM2 with the time delay of P53-induced MDM2 expression causes oscillation behaviour in the P53 network.
Keywords:  P53 oscillation network      DNA damage signal      time delay      kinetic model  
Received:  07 January 2009      Revised:  04 March 2009      Accepted manuscript online: 
PACS:  87.14.G- (Nucleic acids)  
  87.15.K- (Molecular interactions; membrane-protein interactions)  
  87.17.-d (Cell processes)  
  87.14.E- (Proteins)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10875049), the Key Project of Chinese Ministry of Education (Grant No.~108096), and the Programme of Introducing Talents of Discipline to Universities (Grant No.~B08033).

Cite this article: 

Xia Jun-Feng(夏俊峰) and Jia Ya(贾亚) A mathematical model of a P53 oscillation network triggered by DNA damage 2010 Chin. Phys. B 19 040506

[1] Kubbutat M H G, Jones S N and Vousden K H 1997 Nature 378 299
[2] Freedman D A, Wu L and Levine A J 1999 Cell. Mol. Life Sci. 55 96
[3] Vogelstein V, Lane D and Levine J 2000 Nature 408 307
[4] Oren M 2003 Cell Death and Differentiation 10 431
[5] Lee J H and Paull T T 2005 Science 22 551
[6] Mckinnon P J 2004 EMBO Reports 5 772
[7] Rouse J and Jackson S P 2002 Science 297 547
[8] Banin S, Moyal L, Shieh S Y, Taya Y, Anderson C W, Chessa L, Smorodinsky N I, Prives C, Reiss Y, Shiloh Y and Ziv Y 1998 Science 281 1674
[9] Bar-Or R L, Maya R, Segel L A, Alon U, Levine A J and Oren M 2000 Proc. Nat. Acad. Sci. USA 97 11250
[10] Lahav G, Rosenfeld N, Sigal A, Geva-Zatorsky N, Levine A, Elowitz M B and Alon U 2004 Nat. Genet. 36 113
[11] Monk N A M 2003 Current Biology 13 1409
[12] Ma L, Wagner J, Rice J J, Hu W, Levime A J and Stolovitzky G A 2005 Proc. Nat. Acad. Sci.} USA 102 14266
[13] Ciliberto A, Novak B and Tyson J J 2005 Cell Cycle 4 488
[14] Tiana G, Jensen M H and Sneppen K 2002 Euro. Phys. J. 29 135
[15] Wagner J, Ma L, Rice J J, Hu W, Levine A J and Stolovitzky G A 2005 Systems Biology 152 109
[16] Yan S W and Zhuo Y Z 2006 Physica D 220 157
[17] Bottani S and Grammaticos B 2007 J. Theor. Biol. 249 235
[18] Chickarmane V, Nadim A, Ray A and Sauro H M arXiv:q-bio/0510002v1
[19] Qi J P, Shao S H, Li D D and Zhou G P 2007 Amino Acids 33 75
[20] Chickarmane V, Ray A, Sauro H M and Nadim A 2007 SIAM J. Appl. Dyn. Syst. 6 61
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