dorsal/arxiv
View SchemaEmergence of Complex Dynamics in a Simple Model of Signaling Networks
| Authors | Luis A. N. Amaral, Albert Diaz-Guilera, Andre A. Moreira, Ary L. Goldberger, Lewis A. Lipsitz |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0411039 |
| URL | https://arxiv.org/abs/q-bio/0411039 |
| DOI | 10.1073/pnas.0404843101 |
| Journal | Proc. Nat. Acad. Sci. USA 101 (2004) 15551-15555 |
Abstract
A 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.
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"abstract": "A variety of physical, social and biological systems generate complex\nfluctuations with correlations across multiple time scales. In physiologic\nsystems, these long-range correlations are altered with disease and aging. Such\ncorrelated fluctuations in living systems have been attributed to the\ninteraction of multiple control systems; however, the mechanisms underlying\nthis behavior remain unknown. Here, we show that a number of distinct classes\nof dynamical behaviors, including correlated fluctuations characterized by\n$1/f$-scaling of their power spectra, can emerge in networks of simple\nsignaling units. We find that under general conditions, complex dynamics can be\ngenerated by systems fulfilling two requirements: i) a ``small-world\u0027\u0027 topology\nand ii) the presence of noise. Our findings support two notable conclusions:\nfirst, complex physiologic-like signals can be modeled with a minimal set of\ncomponents; and second, systems fulfilling conditions (i) and (ii) are robust\nto some degree of degradation, i.e., they will still be able to generate\n$1/f$-dynamics.",
"arxiv_id": "q-bio/0411039",
"authors": [
"Luis A. N. Amaral",
"Albert Diaz-Guilera",
"Andre A. Moreira",
"Ary L. Goldberger",
"Lewis A. Lipsitz"
],
"categories": [
"q-bio.OT",
"cond-mat.soft",
"physics.bio-ph"
],
"doi": "10.1073/pnas.0404843101",
"journal_ref": "Proc. Nat. Acad. Sci. USA 101 (2004) 15551-15555",
"title": "Emergence of Complex Dynamics in a Simple Model of Signaling Networks",
"url": "https://arxiv.org/abs/q-bio/0411039"
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