Coherence resonance: A mechanism for noise induced stable oscillations in gene regulatory networks

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 2382-2387

  El Samad, Hana ^a   Khammash, Mustafa ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT LIGHT; GENES; PHYSIOLOGICAL MODELS; RESONANCE;

COHERENCE RESONANCE; GENE REGULATORY NETWORKS; NEUROBIOLOGY;

SIGNAL NOISE MEASUREMENT;

EID: 39649116055     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377181     Document Type: Conference Paper

References (21)

1. D. Sigeti and W. Horsthemke,Pseudo-Regular Oscillations Induced by External Noise, J. Stat. Phys., vol. 54, 1989, pp.1217-1222.
2. A. Pikovsky and J. Kurths, Coherence Resonance in a Noise-Driven Excitable System, Phys. Rev. Lett., vol. 75, 1997, pp.775-778.
3. F.G. Gu , M.H. Yang MH, L. Li, Z.Q. Liu and W. Ren, Experimental Observation of the Stochastic Bursting Caused by Coherence Resonance in a Neural Pacemaker, Neuroreprt, vol 13, 2002, pp. 1657-1660.
4. S. Barland, O. Piro, M. Giudici, J.R. Tredicce, and S. Balle, Experimental Evidence of Van der Pol-Fitzhugh-Nagumo Dynamics in Semiconductor Optical Amplifiers, Phys. Rev. E, vol. 68, 2003, Art. No. 036209.
5. D.E. Postnov, S.K. Han, O.V. Sosnovtseva, Experimental Observation of Coherence Resonance in Cascaded Excitable Systems, Phys. Rev. E, vol. 59, 1999, pp. R3791-R3794.
6. E. Izhikevich, Neural Excitability, Spiking and Bursting, Int. J. Bifur. Chaos, vol. 10, 2000, pp. 1171-1266.
7. L. Chen and K. Aihara, A Model of Periodic Oscillations for Genetic Regulatory Systems, IEEE Trans Cir. Sys., vol 49, 2002, pp. 1429-1436.
8. H.K. Khalil, Nonlinear Systems, Prentice Hall, Englewood Cliffs, NJ; 1996.
9. A. Rabinovitch, I. Rogachevskii, Threshold, Excitability and Isochrones in the Bonhoeffer-van der Pol System, Chaos, vol. 9, 1999, pp. 880-886.
10. B. Lindner, J. Garcia-Ojalvo, A. Neiman, L. Schimansky-Geier, Effects of Noise in Excitable Systems, Phys. Reports, vol. 392, 2004, pp. 321-424.
11. P. Hanggi P, P. Talkner and M Borkovec, Reaction Rate Theory - 50 Years after Kramers, . Rev. Mod. Phys., vol. 62, 1990, pp.251-341.
12. K. Wiesenfeld, Noisy Precursors of Nonlinear Instabilities, J. Stat. Phys., vol. 38, 1985, pp. 1071-1097.
13. Z.J. Huang, K.D. Curtin, M. Rosbash, PER Protein Interactions and Temperature Compensation of a Circadian Clock in Drosophila, Science, vol. 267, 1995, pp. 1169-1172.
14. N. Gekakis, L. Saez, A.M. Delahaye-Brown, M.P. Myers, A. Seghal, M.W. Young, C.J. Weitz, Isolation of timeless by PER Protein Interaction: Defective Interaction Between timeless and long period mutant PERL, Science, vol. 270, 1995, pp. 811-815.
15. A. Sehgal, J.L. Price, B. Man, M.W. Young, Loss of Circadian Behavioral Rhythms and per RNA oscillations in the Drosophila mutant timeless, Science, vol. 263, 1994, pp. 1603-1606.
16. H. Zeng, P.E. Hardin, M. Rosbash, Constitutive Overexpression of the Drosophila period Protein Inhibits period mRNA cycling, EMBO J., vol. 13, 1994, pp. 3590-3598.
17. L.B. Vosshall, J.L. Price, A. Seghal, L. Saez, M.W. Young, Block in Nuclear Localization of period protein by a second clock mutation, timeless, Science, vol. 263, 1994, pp. 1606-1609.
18. J. Tyson, C.I. Hong, C.D. Thron, B. Noback, A simple Model of Circadian Ryhtm Based on Dimerization and Proteolysis of PER and TIM, Biophys. J., vol. 77, 1999, pp. 2411-2417.
19. N.G. van Kampen, Stochastic Processes in Physics and Chemistry, Elsevier Science Publishing Company, Berlin, 1992.
20. D. T. Gillespie, A General Method for Numerically Simulating the Stochastic Time Evolution of Coupled Chemical Reactions, J. Phys. Chem., vol. 22, 1976, pp. 403-434.
21. H. El Samad, Mechanisms of noise exploitation in gene regulatory networks, In Biological Design Principles for Robustness, Performance, and Selective Interactions with Noise, PhD dissertation. University of California at Santa Barbara, 2004.