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Summary: Emergence of complex dynamics in a simple model of
signaling networks
Lui´s A. N. Amaral*
, Albert Di´az-Guilera*§
, Andre A. Moreira*, Ary L. Goldberger
, and Lewis A. Lipsitz¶
*Department of Chemical and Biological Engineering, Northwestern University, Evanston, IL 60208; Cardiovascular Division, Beth Israel Deaconess Medical
Center, Harvard Medical School, Boston, MA 02215; §Departament Fi´sica Fonamental, Universitat de Barcelona, 08028 Barcelona, Spain; ¶Hebrew
Rehabilitation Center for Aged, Boston, MA 02131; and Gerontology Division, Beth Israel Deaconess Medical Center, Harvard Medical School,
Boston, MA 02215
Edited by Nancy J. Kopell, Boston University, Boston, MA, and approved September 9, 2004 (received for review July 6, 2004)
Various physical, social, and biological systems generate complex
fluctuations with correlations across multiple time scales. In phys-
iologic 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 un-
known. Here, we show that a number of distinct classes of
dynamical behaviors, including correlated fluctuations character-
ized by 1 f scaling of their power spectra, can emerge in networks
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