Emergence of complex dynamics in a simple model of signaling networks

Luís A.N. Amaral*, Albert Díaz-Guilera, Andre A. Moreira, Ary L. Goldberger, Lewis A. Lipsitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

94 Scopus citations


Various physical, social, and biological systems generate complex fluctuations with correlations across multiple time scales. In physiologic systems, these long-range correlations are altered with disease and aging. Such correlated fluctuations in living systems have been attributed to the interaction of multiple control systems; however, the mechanisms underlying this behavior remain unknown. Here, we show that a number of distinct classes of dynamical behaviors, including correlated fluctuations characterized by 1/f scaling of their power spectra, can emerge in networks of simple signaling units. We found that, under general conditions, complex dynamics can be generated by systems fulfilling the following two requirements, (i) a "small-world" topology and (ii) the presence of noise. Our findings support two notable conclusions. First, complex physiologic-like signals can be modeled with a minimal set of components; and second, systems fulfilling conditions i and ii are robust to some degree of degradation (i.e., they will still be able to generate 1/f dynamics).

Original languageEnglish (US)
Pages (from-to)15551-15555
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number44
StatePublished - Nov 2 2004

ASJC Scopus subject areas

  • General


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