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26 April 2024
 
  » arxiv » q-bio.OT/0411039

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Emergence of Complex Dynamics in a Simple Model of Signaling Networks
Luis A.N. Amaral ; Albert Diaz-Guilera ; Andre A. Moreira ; Ary L. Goldberger ; Lewis A. Lipsitz ;
Date 19 Nov 2004
Journal Proc. Nat. Acad. Sci. USA 101 (2004) 15551-15555
Subject Other; Soft Condensed Matter; Biological Physics | q-bio.OT cond-mat.soft physics.bio-ph
Affiliation1,2,3), Andre A. Moreira , Ary L. Goldberger , Lewis A. Lipsitz ( Department of Chemical and Biological Engineering, Northwestern University Cardiovascular Division, Beth Israel Deaconess Medical Center, Harvard Medical School Dept. Fisica Fonament
AbstractA variety of 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 find that under general conditions, complex dynamics can be generated by systems fulfilling 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.
Source arXiv, q-bio.OT/0411039
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