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1 g activity fluctuations that are essentially scale free.
2 any particular relaxation times and are thus scale-free.
3 l properties-including the property of being scale-free.
5 ing accelerated speech also relates to their scale-free amplitude modulation as indexed by the streng
7 currently known space of protein families is scale free and discuss the implications of this distribu
8 rk, we systematically alter the structure of scale-free and clique networks and show, through a stoch
10 These findings lead to a new hypothesis that scale-free and oscillatory neural processes account for
12 teractions, (3) infer aberrant networks with scale-free and small-world properties, and (4) group mol
14 alyses, biochemical networks are found to be scale-free and small-world, indicating that these networ
15 large model-organism expression datasets are scale-free and that the average clustering coefficient o
16 equal in duration, predicts that results are scale-free and unaffected by the presentation order of t
18 nalysis of this network shows that it is not scale-free, and is best approximated by the Watts-Stroga
21 number of real networks are referred to as 'scale-free' because they show a power-law distribution o
22 ted crystals are a model system for studying scale-free behavior as observed in many macroscopic syst
23 the weighted evolving hypergraph exhibits a scale-free behavior for both hyperdegree and hyperstreng
24 certain parameter regimes, recapitulate the scale-free behavior observed in similar graphs of real p
28 iscuss ensembles of random Boolean networks, scale free Boolean networks, "medusa" Boolean networks,
29 al structures and behavioral significance of scale-free brain activity and should motivate future stu
33 ellar stream in Andromeda II illustrates the scale-free character of the formation of galaxies, down
37 ng in magnets, and the correct prediction of scale-free correlations arises because the parameters--c
39 the dynamics of other complex systems where scale-free cross-correlations have been observed, includ
42 iversal properties of real complex networks (scale-free degree distribution, small-world and communit
45 on what the most common properties are, but scale-free degree distributions, strong clustering, and
47 genously driven extinction events can have a scale-free distribution in simple spatially structured h
48 the radiation hybrid network did not show a scale-free distribution of connectivity but was Gaussian
52 tabolic networks is organized according to a scale-free distribution, in which hubs with large number
53 gredients reproduces the observed stationary scale-free distributions, which indicates that the devel
54 ion of synchronous cell assemblies and their scale-free dynamics adjusts to the temporal properties o
57 d frequencies in the brain differ from other scale-free dynamics in nature, such as earth seismic wav
58 that speech comprehension is related to the scale-free dynamics of delta and theta bands, whereas th
59 nd experiment have shown that such critical, scale-free dynamics optimize information processing.
64 rate that the broadband power fluctuation of scale-free electrophysiology is globally synchronized an
65 ong molecular dynamics simulations and large-scale free energy calculations complemented by in vitro
66 Based on these results, we conjecture that scale-free extinction processes and critical phase trans
68 we demonstrate the hyphenation of production-scale free-flow electrophoresis (FFE) and sheathless ele
69 orn rats in vitro, and show that while these scale-free fluctuations are independent of temporal inpu
71 e functional roles as hubs in a hierarchical scale-free fractal protein-protein interaction network.
76 We also confirm the negative effect of the scale-free graph on cooperation when effective payoffs a
77 ks with null percolation thresholds, such as scale-free graphs with diverging second moment of the de
79 een recently described as "small-world" and "scale-free." However, studies disagree whether ecologica
81 omogeneous networks while for d > 2 they are scale-free i.e. they are characterized by large inhomoge
82 signal recorded from the human brain is also scale free; its power-law exponent differentiates betwee
84 lieved that random search processes based on scale-free, Levy stable jump length distributions (Levy
87 fluctuations of broadband and arrhythmic, or scale-free, macaque electrocorticography and human magne
88 twork of the US economy and find that purely scale-free models have trouble matching key attributes o
89 rgic phenotypes, including cluster analysis, scale-free models, candidate biomarkers, and IgE microar
90 food, many organisms adopt a superdiffusive, scale-free movement pattern called a Levy walk, which is
93 that this model is able to recapitulate the scale-free nature observed in graphs of real protein str
95 e fundamental properties help to explain the scale-free nature of complex networks and suggest a comm
104 l that surprisingly it self-organizes into a scale-free network exhibiting also a power-law in the di
106 opic, physics-based evolutionary model for a scale-free network of biological importance and as such
107 were performed using a Barabasi-Albert (BA) scale-free network seeded with a single piece of informa
108 y significant structural data are available, scale-free network statistics based solely on the distri
110 s in the polyprotein can be organized into a scale-free network whose degree of connections between s
111 ls-in three complex social networks-a simple scale-free network, an empirical Venezuelan college stud
112 a random regular graph, a random graph and a scale-free network, and we examine the features of the g
113 s between protein families has the form of a scale-free network, meaning that most protein families o
114 The results are suggestive a hierarchical, scale-free network, where a few highly interconnected ge
115 experimentally derived RNA interactome is a scale-free network, which is not expected from currently
121 a web of control systems, reminiscent of a 'scale-free' network, whose untangling requires integrate
122 o specific approaches focused on here (i.e., scale-free networks and highly optimized tolerance netwo
126 ologically observed exponents for functional scale-free networks fall in a range corresponding to the
130 Here we propose that the emergence of many scale-free networks is tied to the efficiency of transpo
131 rganization, reminiscent of 'small-world' or scale-free networks observed in other complex systems.
132 this hidden distributed architecture behind scale-free networks protects the overall transcriptional
135 namical rules of these networks can generate scale-free networks with clustering and communities, in
136 sign principles of robust and error-tolerant scale-free networks, and may represent a common blueprin
137 e the efficiency of each method on synthetic scale-free networks, as well as real complex networks.
138 f three classes of small-world networks: (a) scale-free networks, characterized by a vertex connectiv
139 ugh food webs are generally not small-world, scale-free networks, food-web topology is consistent wit
140 r than would be expected for similarly sized scale-free networks, suggesting an inherent hierarchical
141 ual neurons, but here, we investigate ISR in scale-free networks, where the average spiking rate is c
142 ss of inhomogeneously wired networks, called scale-free networks, which include the World-Wide Web, t
151 We find that networks having a power-law ("scale-free") node degree distribution readily generate e
152 cortical state was uniquely characterized by scale-free ongoing population dynamics and moderate corr
154 of cancer is driven by two factors: (i) the scale-free (or near scale-free) topology of the interact
155 ric random graphs than by Erdos-Reny, random scale-free, or Barabasi-Albert scale-free networks.
158 us pathway interactions may exhibit the same scale-free phenomenon that has been documented for prote
159 lace burst suppression in the broad class of scale-free physical processes termed crackling noise and
160 nspecific fluctuation and synchronization in scale-free population activity also varied across and de
161 tivity is the broadband power fluctuation in scale-free population activity observable with macroscop
163 e episodes during the sleep period exhibit a scale-free power-law behavior with an exponent alpha tha
164 at in both cases it is described by the same scale-free power-law distribution with an additional pea
165 ribution, whereas those in type-II display a scale-free power-law distribution with exponent approxim
171 e observed effects on long-range dependence, scale-free properties of alpha oscillations themselves,
173 ults demonstrate the functional relevance of scale-free properties of the fMRI signal and impose cons
175 --patterns of complex bursting activity with scale-free properties--is examined in leaky Markovian ne
181 curs when the continuous scale symmetry of a scale-free quantum system is broken into a discrete scal
182 e living animals use a theoretically optimal scale-free random search for sparse resources known as a
184 d the CSK matrix, which was followed by slow scale-free recovery of rheological properties (aging).
185 oss a remarkable 5 orders of magnitude and a scale-free relationship between burst sizes and duration
186 ft glasses, but not all materials expressing scale-free rheology are glassy (see plastics, wood, conc
189 in the Hurst exponent (H), which quantifies scale-free signal, was related to three different source
192 conditions exhibited topological features of scale free, small world and modularity, which were consi
193 method that uses topological constraints of scale-free, small-world biological networks to reconstru
194 ation dynamics towards a special regime with scale-free spatiotemporal activity, after an initial lar
195 x displays critical dynamics, giving rise to scale-free spatiotemporal cascades of activity, termed n
199 s of Internet traffic and, in some contexts, scale-free structure in the network's interconnection to
200 although some food webs have small-world and scale-free structure, most do not if they exceed a relat
201 n natural and artificial complex systems, of scale-free structures and to their connections with none
202 dients of a scalar distributed on the nodes, scale-free structures will ensure efficient processing,
203 processing, whereas structures that are not scale-free, such as random graphs, will become congested
208 ng of patterns of behavior, we show that the scale-free topologies often found in nature enable more
212 co-conservation based networks to exhibit a scale free topology, as expected for biological networks
213 lized damage, the function of a network with scale-free topology can be significantly restored by a l
214 urrent limited coverage levels, the observed scale-free topology of existing interactome maps cannot
215 g of random phenotypic variation through the scale-free topology of gene regulatory, metabolic, and p
217 n this study, an algorithm that explores the scale-free topology of networks was proposed based on th
218 ng crucial as we try to explain the emergent scale-free topology of the World Wide Web and use link a
225 ted that many biological networks exhibit a "scale-free" topology, for which the probability of obser
226 by two factors: (i) the scale-free (or near scale-free) topology of the interaction network, and (ii
227 a hidden distributed architecture behind the scale-free transcriptional regulatory network of yeast b
228 rotein-protein binding that is approximately scale-free (varies as a power law) even though their evo
229 ring numerous methods to tailor the Angstrom-scale free volume properties by judicious selection of t
231 particular, show that these fluctuations are scale-free, with effective correlation lengths proportio
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