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Biological memory is a ubiquitous phenomenon, which could be found in a variety of biological subsystems. Based on a model of dual feedback gene regulatory circuit, in this paper we investigate the influence of time delay on memory time. The results show that the memory time is enhanced dramatically due to the existence of time delay, and the memory time increases linearly with increase of time delay. This enhancement pattern is completely different from that induced by noise. The raising of biological memory by time delay and noise can be controlled and reinforced mutually without affecting the reinforcement mode of opposite side.
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Keywords:
- biological memory /
- time delay /
- noise
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[2] Tian T, Burrage K 2006 Proc. Natl. Acad. Sci. USA 103 8372
[3] Xiong W, Ferrell J E 2003 Nature 426 460
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[5] Elowitz M B, Levine A J, Siggia E D, Swain P S 2002 Science 297 1183
[6] Yi M, Jia Y, Ma J, Tang J, Yu G, Li J 2008 Phys. Rev. E 77 022902
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[9] Hou Z H, Yang L F, Xin H W 1999 J. Chem. Phys. 111 1592
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[13] Tang J, Jia Y, Yi M, Ma J, Li J 2008 Phys. Rev. E 77 061905
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[20] Pikovsky A S, Kurths J 1997 Phys. Rev. Lett. 78 775
[21] Hu G, Ditzinger T, Ning C Z, Haken H 1993 Phys. Rev. Lett. 71 807
[22] Rappel W J, Strogatz S H 1994 Phys. Rev. E 50 3249
[23] Zhou C, Kurths J, Hu B 2001 Phys. Rev. Lett. 87 098101
[24] Wang Y, Chik D T W, Wang Z D 2000 Phys. Rev. E 61 740
[25] Zhou C, Kurths J 2003 Chaos 13 401
[26] Tang J, Yang X Q, Ma J, Jia Y 2009 Phys. Rev. E 80 011907
[27] Longo D M, Selimkhanov J, Kearns J D, Hasty J, Hoffmann A, Tsimring L S 2013 PLoS Comput. Biol. 9 e1003112
[28] Hao M L, Xu W, Gu X D, Qi L Y 2014 Chin. Phys. B 23 090501
[29] Du L C, Dai Z C, Mei D C 2010 Chin. Phys. B 19 080503
[30] Xia J F, Jia Y 2010 Chin. Phys. B 19 040506
[31] Ouyang Q 2009 Introduction to Nonlinear Science and Pattern Dynamics (Beijing: Peking University Press) p36 (in Chinese) [欧阳颀 2009 非线性科学与斑图动力学导论(北京:北京大学出版社)第36页]
[32] Smolen P, Baxter D A, Byrne J H 2009 Phys. Rev. E 79 031902
[33] Zhang X P, Cheng Z, Liu F, Wang W 2007 Phys. Rev. E 76 031924
[34] Brandman O, Ferrell J E, Li R, Meyer T 2005 Science 310 496
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[1] Han Z, Vondriska T M, Yang L, MacLellan W R, Weiss J N, Qu Z 2007 J. Theor. Biol. 246 755
[2] Tian T, Burrage K 2006 Proc. Natl. Acad. Sci. USA 103 8372
[3] Xiong W, Ferrell J E 2003 Nature 426 460
[4] Markevich N I, Hoek J B, Kholodenko B N 2004 J. Cell Biol. 164 353
[5] Elowitz M B, Levine A J, Siggia E D, Swain P S 2002 Science 297 1183
[6] Yi M, Jia Y, Ma J, Tang J, Yu G, Li J 2008 Phys. Rev. E 77 022902
[7] Ma J, Zhang A H, Tang J, Jin W Y 2010 J. Biol. Syst. 18 243
[8] Shuai J W, Jung P 2002 Phys. Rev. Lett. 88 068102
[9] Hou Z H, Yang L F, Xin H W 1999 J. Chem. Phys. 111 1592
[10] Wang R, Wu Y, Liu S B 2013 Acta Phys. Sin. 62 220504 (in Chinese) [王荣, 吴莹, 刘少宝 2013 物理学报 62 220504]
[11] Livia C, Claudia L, Gagik K, Michele B, Matteo P, Ram-Krishna T, Paolo D G, Lamberto R 2014 Phys. Rev. E 90 032119
[12] Wang C J 2012 Acta Phys. Sin. 61 010503 (in Chinese) [王参军 2012 物理学报 61 010503]
[13] Tang J, Jia Y, Yi M, Ma J, Li J 2008 Phys. Rev. E 77 061905
[14] Tang J, Ma J, Yi M, Xia H, Yang X Q 2011 Phys. Rev. E 83 046207
[15] Tang J, Qu L C, Luo J M 2011 Chin. Phys. Lett. 28 100501
[16] Wang Q, Perc M, Duan Z, Chen G 2009 Phys. Rev. E 80 026206
[17] Wang Q, Lu Q S 2005 Chin. Phys. Lett. 3 543
[18] Wang Q, Duan Z, Perc M, Chen G 2008 Europhys. Lett. 83 50008
[19] Wang C J 2012 Acta Phys. Sin. 61 050501 (in Chinese) [王参军 2012 物理学报 61 050501]
[20] Pikovsky A S, Kurths J 1997 Phys. Rev. Lett. 78 775
[21] Hu G, Ditzinger T, Ning C Z, Haken H 1993 Phys. Rev. Lett. 71 807
[22] Rappel W J, Strogatz S H 1994 Phys. Rev. E 50 3249
[23] Zhou C, Kurths J, Hu B 2001 Phys. Rev. Lett. 87 098101
[24] Wang Y, Chik D T W, Wang Z D 2000 Phys. Rev. E 61 740
[25] Zhou C, Kurths J 2003 Chaos 13 401
[26] Tang J, Yang X Q, Ma J, Jia Y 2009 Phys. Rev. E 80 011907
[27] Longo D M, Selimkhanov J, Kearns J D, Hasty J, Hoffmann A, Tsimring L S 2013 PLoS Comput. Biol. 9 e1003112
[28] Hao M L, Xu W, Gu X D, Qi L Y 2014 Chin. Phys. B 23 090501
[29] Du L C, Dai Z C, Mei D C 2010 Chin. Phys. B 19 080503
[30] Xia J F, Jia Y 2010 Chin. Phys. B 19 040506
[31] Ouyang Q 2009 Introduction to Nonlinear Science and Pattern Dynamics (Beijing: Peking University Press) p36 (in Chinese) [欧阳颀 2009 非线性科学与斑图动力学导论(北京:北京大学出版社)第36页]
[32] Smolen P, Baxter D A, Byrne J H 2009 Phys. Rev. E 79 031902
[33] Zhang X P, Cheng Z, Liu F, Wang W 2007 Phys. Rev. E 76 031924
[34] Brandman O, Ferrell J E, Li R, Meyer T 2005 Science 310 496
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