Emergence of complex dynamics in a simple model of signaling networks

Proceedings of the National Academy of Sciences of the United States of America

Volumn 101, Issue 44, 2004, Pages 15551-15555

  Amaral, Luís A N ^a   Díaz Guilera, Albert ^a,b,c   Moreira, Andre A ^a   Goldberger, Ary L ^b   Lipsitz, Lewis A ^b,d  

^a Northwestern University   (United States)

^b HARVARD MEDICAL SCHOOL   (United States)

^c UNIVERSITY OF BARCELONA   (Spain)

^d RESEARCH AND TRAINING INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CHEMICAL MODEL; NOISE; NONLINEAR SYSTEM; POWER SPECTRUM; PRIORITY JOURNAL; SIGNAL TRANSDUCTION;

MATHEMATICS; MODELS, BIOLOGICAL; SIGNAL TRANSDUCTION;

EID: 8144219542     PISSN: 00278424     EISSN: None     Source Type: Journal    
DOI: 10.1073/pnas.0404843101     Document Type: Article

References (34)

1. Malik, M. & Camm, A. J. (1995) Heart Rate Variability (Futura, Armonk, NY).
2. Bassingthwaighte, J. B., Liebovitch, L. S. & West, B. J. (1994) Fractal Physiology (Oxford Univ. Press, New York).
3. Goldberger, A. L., Amaral, L. A. N., Haussdorf, J. M., Ivanov, P. C., Peng, C.-K. & Stanley, H. E. (2002) Proc. Nat. Acad. Sci. USA 99, 2466-2472.
4. Buchman, T. G. (2002) Nature 420, 246-251.
5. Peng, C.-K., Havlin, S., Stanley, H. E. & Goldberger, A. L. (1995) Chaos 5, 82-87.
6. Ivanov, P. C., Amaral, L. A. N., Goldberger, A. L., Havlin, S, Rosenblum, M. G., Struzik, Z. R. & Stanley, H. E. (1999) Nature 399, 461-465.
7. Amaral, L. A. N., Ivanov, P. C., Aoyagi, N., Hidaka, I., Tomono, S., Goldberger, A. L., Stanley, H. E. & Yamamoto, Y. (2001) Phys. Rev. Lett. 86, 6026-6029.
8. Lipsitz, L. A. (2002) J. Gerontol. 57A, B115-B125.
9. Marshall, J. C. (2000) Crit. Care Med. 28, 2646-2648.
10. Kauffman, S. A. (1993) The Origins of Order: Self-Organization and Selection in Evolution (Oxford Univ. Press, Oxford).
11. Wolfram, S. (1994) Cellular Automata and Complexity: Collected Papers (Westview, Boulder, CO).
12. Kaplan, D. & Glass, L. (1997) Understanding Nonlinear Dynamics (Springer, Berlin).
13. Weng, G., Bhalla, U. S. & Iyengar, R. (1999) Science 284, 92-96.
14. Aldana, M., Coppersmith, S. & Kadanoff, L. P. (2002) arXiv:cond-mat/0204062.
15. Wolfram, S. (2002) A New Kind of Science (Wolfram Media, Champaign, IL).
16. Rao, C. V., Wolf, D. M. & Arkin, A. P. (2002) Nature 420, 231-237.
17. Watts, D. J. & Strogatz, S. H. (1998) Nature 393, 440-441.
18. Albert, R. & Barabási, A.-L. (2002) Rev. Mod. Phys. 74, 47-96.
19. Mar, D. J., Chow, C. C., Gerstner, W., Adams, R. W. & Collins, J. J. Proc. Nat. Acad. Sci. USA 96, 10450-10455.
20. Ozbudak, E. M., Thattai, M., Kurtser, I., Grossman, A. D. & van Oudenaarden, A. (2002) Nat. Genet. 31, 69-73.
21. Elowitz, M. B., Levine, A. J., Siggia, E. D. & Swain, P. S. (2002) Science 297, 1183-1186.
22. Blake, W. J., Kaern, M., Cantor, C. R. & Collins, J. J. (2003) Proc. Nat. Acad. Sci. USA 422, 633-637.
23. Isaacs, F. J., Hasty, J., Cantor, C. R. & Collins, J. J. (2003) Nature 100, 7714-7719.
24. Amaral, L. A. N., Scala, A., Barthélémy, M. & Stanley, H. E. (2000) Proc. Nat. Acad. Sci. USA 97, 11149-11152.
25. Guyton, A. C. & Hall, J. E. (2000) Textbook of Medical Physiology (Saunders, Philadelphia), 10th Ed..
26. Albert, R., Jeong, H. & Barabási, A.-L. (2000) Nature 406, 378-382.
27. Ivanov, P. C., Amaral, L. A. N., Goldberger, A. L. & Stanley, H. E. (1998) Europhys. Lett. 43, 363-368.
28. Colantonio, A., Kasl, S. V., Ostfeld, A. M. & Berkman, L. F. (1993) J. Gerontol. Soc. Sci. 49, S261-S268.
29. Fratiglioni, L., Wang, H., Ericsson, K., Maytan, M. & Winblad, B. (2000) Lancet 355, 1315-1319.
30. Lipsitz, L. A., Pincus, S. M., Morin, R. J., Tong, S., Eberle, L. P. & Gootman, P. M. (1997) J. Auton. Nerv. Syst. 65, 1-9.
31. Yamamoto, Y., Nakamura, Y., Sato, H., Yamamoto, M., Kato, K. & Hughson, R. L. (1995) Am. J. Physiol. 269, R830-R837.
32. Suki, B, Alencar, A. M., Sujeer, M. K., Lutchen, K. R., Collins, J. J., Andrade, J. S., Ingenito, E. P., Zapperi, S. & Stanley, H. E. (1998) Nature 393, 127-128.
33. Boker, A., Graham, M. R., Walley, K. R., McManus, B. M., Girling, L. G., Walker, E., Lefevre, G. R. & Mutch, W. A. C. (2002) Am. J. Respir. Crit. Care Med. 165, 456-462.
34. Sturis, J., Schgeen, A. J., Leproult, R., Polonsky, K. S. & van Cauter, E. (1995) J. Clin. Invest. 95, 1464-1471.