Complex fluctuations and robustness in stylized signalling networks

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 1, 2007, Pages

  Diaz Guilera A ^a,b   Moreira, A A ^a,c   Guzman, L ^a,d   Amaral, L A N ^a  

^a Northwestern University   (United States)

^b UNIVERSITY OF BARCELONA   (Spain)

^c FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

^d INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

Author keywords

Network dynamics; Networks; Random graphs

Indexed keywords

EID: 37649027095     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2007/01/P01013     Document Type: Article

References (39)

1. Govindan R B, Vyushin D, Bunde A, Brenner S, Havlin S and Schellnhuber H J 2002 Phys. Rev. Lett. 89 028501
2. Koscielny-Bunde E, Bunde A, Havlin S, Roman H E, Goldreich Y and Schellnhuber H J 1998 Phys. Rev. Lett. 81 729
3. Takayasu H (ed) 2002 Empirical Science of Financial Fluctuations (Tokyo: Springer)
4. Shlesinger M F 1987 Ann. New York Acad. Sci. 504 214
5. Bassingthwaighte J B, Liebovitch L S and West B J 1994 Fractal Physiology (New York: Oxford University Press)
6. Malik M and Camm A J (ed) 1995 Heart Rate Variability (Armonk, NY: Futura)
7. Peng C K, Havlin S, Stanley H E and Goldberger A L 1995 Chaos 5 82
8. Hausdorff J M, Purdon P L, Peng C K, Ladin Z, Wei J Y and Goldberger A L 1996 J. Appl. Physiol. 80 1448
9. Ivanov P C, Amaral L A N, Goldberger A L, Havlin S, Rosenblum M G, Struzik Z R and Stanley H E 1999 Nature 399 461
10. Amaral L A N, Ivanov P C, Aoyagi N, Hidaka I, Tomono S, Goldberger A L, Stanley H E and Yamamoto Y 2001 Phys. Rev. Lett. 86 6026
11. Goldberger A L, Amaral L A N, Haussdorf J M, Ivanov P C, Peng C K and Stanley H E 2002 Proc. Nat. Acad. Sci. 99 (Suppl. 1) 2466
12. Marshall J C 2000 Crit. Care Med. 28 2646
13. Abbott D and Kish L B (ed) 2000 Unsolved Problems on Noise 1999 (AIP Conf. Proc. no 511) (Melville, NY: American Institute of Physics)
14. Chialvo D R 2002 Nature 419 263
15. Kauffman S A 1993 The Origins of Order: Self-Organization and Selection in Evolution (Oxford: Oxford University Press)
16. Wolfram S 1994 Cellular Automata and Complexity: Collected Papers (Boulder, Colorado: Westview)
17. Kaplan D and Glass L 1997 Understanding Nonlinear Dynamics (Berlin: Springer)
18. Strogatz S H 2001 Nature 410 268
19. Albert R and Barabsi A L 2002 Rev. Mod. Phys. 74 47
20. Kauffman S A 1969 J. Theor. Biol. 22 437
21. Weng G, Bhalla U S and Iyengar R 1999 Science 284 92
22. Albert R and Barabsi A L 2000 Phys. Rev. Lett. 84 5660
23. Aldana M, Coppersmith S and Kadanoff L P 2003 Perspectives and Problems in Nonlinear Science. A Celebratory Volume in Honor of Lawrence Sirovich (Springer Applied Mathematical Sciences Series) ed E Kaplan, J E Marsden and K R Sreenivasan (Berlin: Springer)
24. Wolfram S 2002 A New Kind of Science (Champaign, IL: Wolfram Media)
25. Moreira A A, Mathur A, Diermeier D and Amaral L A N 2004 Proc. Nat. Acad. Sci. 101 12085
26. Moreira A A and Amaral L A N 2005 Phys. Rev. Lett. 94 218702
27. Klemm K and Bornholdt S 2005 Phys. Rev. E 72 055101
28. Shmulevich I and Kauffman S 2004 Phys. Rev. Lett. 93 048701
29. Lipsitz L A 2002 J. Gerontol. A 57 B115
30. Amaral L A N, Díaz-Guilera A, Moreira A A, Goldberger A L and Lipsitz L A 2004 Proc. Nat. Acad. Sci. 101 15551
31. Watts D J and Strogatz S 1998 Nature 393 440
32. Koch C and Laurent G 1999 Science 284 96
33. Mar D J, Chow C C, Gerstner W, Adams R and Collins J J 1999 Proc. Nat. Acad. Sci. 96 10450
34. Newman M E J and Watts D J 1999 Phys. Lett. A 263 341
35. Taqqu M S, Teverovsky V and Willinger W 1995 Fractals 3 785
36. Iyengar N, Peng C K, Morin R, Goldberger A L and Lipsitz L A 1996 Am. J. Physiol. 271 R1078
37. Glass L and Hill C 1998 Europhys. Lett. 41 599
38. Amaral L A N, Scala A, Barthélémy M and Stanley H E 2000 Proc. Nat. Acad. Sci. 97 11149
39. Cohen R and Havlin S 2003 Phys. Rev. Lett. 90 058701