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Recently, self-organized oscillation networks have aroused great interest in diverse natural and social fields. Genetic regulatory networks are one of the most typical examples of this kind. They control the growth and develop of organism. We investigate the control of few node genetic regulatory networks. We use a method of multiple phase advanced driving to control the networks, which can improve the control efficiency. The numerical simulation, results show that for the network in which system parameter is fixed, the control efficiency will reach 95% (for 10-node network), and the method will also applicable for the network in which system parameter is unfixed.
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[2] Xu P X, Zhang X, Heaney S, Yoon A, Michelson A M, Maas R L 1999 Development 126 383
[3] Peterson K J, Davidson E H 2000 P. Natl. Acad. Sci. USA 97 4430
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[5] Ihmels J, Friedlander G, Bergmann S, Sarig O 2002 Nat. Genet. 31 370
[6] Ma H W, Kumar B, Ditges U, Gunzer F 2004 Nucleic Acids Res. 32 6643
[7] Posfai G, Plunkett G 2006 Science 312 1044
[8] Gilchrist M, Thorsson V, Li B, Rust A G 2006 Nature 441 173
[9] Kurland C G, Collins L J, Penny D 2006 Science 312 1011
[10] Mcadams H H, Srinivasan B, Arkin A P 2004 Nature Rev. Genet. 5 1
[11] Shen-Orr S S, Milo R, Mangan S, Alon U 2002 Nat. Genet. 31 64
[12] Lipshtat A, Purushothaman S P, Lyengar R, Maayan A 2008 Biophysical Journal 94 2566
[13] Kim J R, Yoon Y, Cho K H 2008 Biophysical Journal 94 359
[14] Snoussi E H 1998 J. Biol. Sys. 6 3
[15] Plahte E H, Mestl T, Omholt W S 1995 J. Biol. Sys. 3 409
[16] Goh K G, Kahng B, Cho K H 2008 Biophysical Journal 94 4270
[17] Elowitz M B, Leibler S 2000 Nature 403 335
[18] Nochomovitz Y D, Li H 2006 P. Natl. Acad. Sci. USA 103 4180
[19] Qian Y, Liao X, Huang X, Hu G 2010 Phys. Rev. E 81 036101
[20] Liao X, Hu G 2011 Front. Phys. 6 124
[21] Ye W, Huang X, Li P, Hu G 2010 Phys. Lett. A 374 2521
[22] Li C, Chen L, Aihara L S, Kazuyuki L 2006 IEEE 53 2451
[23] Mangan S, Alon U 2001 P. Natl. Acad. Sci. USA 100 11980
[24] Setty Y, Mayo A E, Surette M G, Alon U 2003 P. Natl. Acad. Sci. USA 100 7702
[25] Ishilara S, Fujimoto K, Shibata T 2005 Genes to Cells 10 1025
[26] Wu Y, Zhang X, Yu J, Ouyang Q 2009 PLoS Computational Biology 5 e1000442
[27] Ye W, Li P, Huang X, Hu G 2010 Phys. Lett. A 374 4749
[28] Ye W, Zhang Z, L B, Di Z, Hu G 2012 Chin. Phys. B 21 060203
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[1] Tavazoie S, Hughes J D, Campbell M J, Cho G M 1999 Nat. Genet. 22 281
[2] Xu P X, Zhang X, Heaney S, Yoon A, Michelson A M, Maas R L 1999 Development 126 383
[3] Peterson K J, Davidson E H 2000 P. Natl. Acad. Sci. USA 97 4430
[4] Lee T I, Rinaldi N J, Robert F, Odom D T 2002 Science 298 799
[5] Ihmels J, Friedlander G, Bergmann S, Sarig O 2002 Nat. Genet. 31 370
[6] Ma H W, Kumar B, Ditges U, Gunzer F 2004 Nucleic Acids Res. 32 6643
[7] Posfai G, Plunkett G 2006 Science 312 1044
[8] Gilchrist M, Thorsson V, Li B, Rust A G 2006 Nature 441 173
[9] Kurland C G, Collins L J, Penny D 2006 Science 312 1011
[10] Mcadams H H, Srinivasan B, Arkin A P 2004 Nature Rev. Genet. 5 1
[11] Shen-Orr S S, Milo R, Mangan S, Alon U 2002 Nat. Genet. 31 64
[12] Lipshtat A, Purushothaman S P, Lyengar R, Maayan A 2008 Biophysical Journal 94 2566
[13] Kim J R, Yoon Y, Cho K H 2008 Biophysical Journal 94 359
[14] Snoussi E H 1998 J. Biol. Sys. 6 3
[15] Plahte E H, Mestl T, Omholt W S 1995 J. Biol. Sys. 3 409
[16] Goh K G, Kahng B, Cho K H 2008 Biophysical Journal 94 4270
[17] Elowitz M B, Leibler S 2000 Nature 403 335
[18] Nochomovitz Y D, Li H 2006 P. Natl. Acad. Sci. USA 103 4180
[19] Qian Y, Liao X, Huang X, Hu G 2010 Phys. Rev. E 81 036101
[20] Liao X, Hu G 2011 Front. Phys. 6 124
[21] Ye W, Huang X, Li P, Hu G 2010 Phys. Lett. A 374 2521
[22] Li C, Chen L, Aihara L S, Kazuyuki L 2006 IEEE 53 2451
[23] Mangan S, Alon U 2001 P. Natl. Acad. Sci. USA 100 11980
[24] Setty Y, Mayo A E, Surette M G, Alon U 2003 P. Natl. Acad. Sci. USA 100 7702
[25] Ishilara S, Fujimoto K, Shibata T 2005 Genes to Cells 10 1025
[26] Wu Y, Zhang X, Yu J, Ouyang Q 2009 PLoS Computational Biology 5 e1000442
[27] Ye W, Li P, Huang X, Hu G 2010 Phys. Lett. A 374 4749
[28] Ye W, Zhang Z, L B, Di Z, Hu G 2012 Chin. Phys. B 21 060203
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