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3 considered to be products of comet Shoemaker-Levy 9 impacts; characterization of the morphology of th
5 tion probability), whereas it goes over to a Levy alpha-stable distribution in the very large populat
7 ted, and significantly diverge from both the Levy and Brownian models identified in predators searchi
8 sh), with some individuals switching between Levy and Brownian movement as they traversed different h
11 d in vertebrates to test for the presence of Levy behaviour patterns in the absence of complex prey d
12 ce of these two principal patterns and found Levy behaviour to be associated with less productive wat
15 ntings are fractals produced by the artist's Levy distributed motion and that fractal analysis may be
16 argets in a 2D space with steps drawn from a Levy distribution with the exponent varying from [Formul
17 ions of these Fibonacci modes are asymmetric Levy distributions that are completely fixed by the macr
22 like partial CO2 rebreathing was studied by Levy et al., who suggested that this method may be used
25 movement for other organisms, and to propose Levy flight analysis as a potential real-time ecosystem
26 dom trajectories predicted by the prevailing Levy flight and random walk models, human trajectories s
29 tals, we find the same prevalence of optimal Levy flight characteristics (mu approximately 2) in both
30 ity has been empirically observed to exhibit Levy flight characteristics and behaviour with power-law
31 ctions form part of what has been termed the Levy flight foraging hypothesis (LFF) which states that
32 rehensive support for the predictions of the Levy flight foraging hypothesis and in particular for th
33 d support to the possibility that biological Levy flight may have naturally evolved as a search strat
35 phical approach has been adopted to conclude Levy flight movement for other organisms, and to propose
36 ge about resources' locations is incomplete, Levy flight movements optimize the success of random sea
37 tern is a specialised random walk known as a Levy flight, whereas when prey is abundant, simple Brown
40 ed by optimal Levy walks and shows that the 'Levy-flight foraging' hypothesis has a broad hinterland.
42 movement patterns approximated by truncated Levy flights and Brownian behaviour were present in the
44 rithmic binning methods were consistent with Levy flights and rank-frequency methods-comparing altern
47 riven by multiplicative noises and incumbent Levy flights arise naturally in the modelling of swarms.
50 ciency of a minimalist search model based on Levy flights in the absence and presence of an external
52 searches, movements approximated by optimal Levy flights may have naturally evolved in organisms to
53 tterns during foraging, and demonstrate that Levy flights of predators in dynamic natural environment
54 raging hypothesis (LFF) which states that as Levy flights optimise random searches, movements approxi
56 ), whereas movements approximating truncated Levy flights were present when searching for sparsely di
57 evidence that wandering albatrosses perform Levy flights when searching for prey on the ocean surfac
58 tors should adopt search strategies known as Levy flights where prey is sparse and distributed unpred
60 dered optimal; in particular, more ballistic Levy flights with exponent [Formula: see text] are gener
61 area-restricted search, perform better than Levy flights yet can still generate heavy-tailed distrib
62 free, Levy stable jump length distributions (Levy flights) optimize the search for sparse targets.
64 The inclusion of such noises gives rise to Levy flights, a popular but controversial model of scale
65 sets, finding that none exhibits evidence of Levy flights, and that the original graphical approach i
66 prominently in the literature on biological Levy flights, being seen, perhaps, as no more than a mat
68 ion into the 'feast and famine' effect, with Levy foragers in heterogeneous environments experiencing
72 to the UK Government's soft drinks industry levy have been seen, but the government cannot continue
73 imulations we show that the incorporation of Levy intermittence in an otherwise nonintermittent searc
76 TATION: The health impact of the soft drinks levy is dependent on its implementation by industry.
77 on, with additional benefits possible if the levy is passed on to purchasers through raising of the p
78 nd the tail of NA distributions fit a stable Levy law with exponents that remained invariant over the
86 After checking various function types, the Levy-Martin function proved to be most suitable for this
87 n the basis of this function, we defined the Levy-Martin parameter and suggest using this parameter f
89 er noise intensities and larger jumps of the Levy motion shortens the MFET and thus benefits transiti
90 characteristics are easily generated without Levy motion, both by freehand drawing and gaussian rando
92 ses captured by wandering albatrosses during Levy movements exceed daily energy requirements by nearl
95 rst passage times show complex effects under Levy noise, especially the stability index and skewness
96 s from one protein imposed by a non-Gaussian Levy noise, which is able to describe even large jumps,
97 that a large burst of one protein due to the Levy noises can induce coherent switches even with small
98 also imply that the presence of non-Gaussian Levy noises has fundamentally changed the escape mechani
102 h, 2016, the UK Government proposed a tiered levy on sugar-sweetened beverages (SSBs; high tax for dr
103 ajority of ratios, DeltaX(i) scales with the Levy parameter alpha approximately 1, even though only a
104 n the notion that albatrosses do not exhibit Levy patterns during foraging, and demonstrate that Levy
105 e use maximum-likelihood methods to test for Levy patterns in relation to environmental gradients in
106 However, it is possible that the observed Levy patterns of white sharks may not arise from an adap
109 an Z score, we find that P(DeltaZ) follows a Levy PDF with power-law exponent alpha approximately 1,
114 60s Mandelbrot and Fama proposed a symmetric Levy probability distribution function (PDF) to describe
116 of movement in each time interval, (iii) are Levy processes in which distance or waiting-time (time-b
117 ions do not accurately reflect human search, Levy processes may still describe movement in dispersed
122 theoretical contributions have posited that "Levy random walks"-which can produce power law path leng
124 desert ant Melophorus bagoti approximates a Levy search pattern by using an intrinsic bi-exponential
127 s of these surprising insights, arguing that Levy search patterns are an emergent property of fundame
131 random search processes based on scale-free, Levy stable jump length distributions (Levy flights) opt
132 on processes, the fractal renewal process, a Levy-stable process, a fractional-difference process, an
135 Thus, CD8+ T-cell behaviour is similar to Levy strategies reported in organisms ranging from musse
137 re we report mutations in a gene (designated levy) that codes for subunit VIa of cytochrome c oxidase
138 rs have higher encounter rates when adopting Levy-type foraging in natural-like prey fields compared
139 arse and heterogeneous environments: (i) the Levy walk and (ii) the composite correlated random walk
140 ll motility in tissues resembles a random or Levy walk and is regulated in part by external factors i
142 In this paper, we propose to explain the Levy walk behaviour observed in human mobility patterns
143 oti which suggest that animals approximate a Levy walk by adopting an intrinsic composite movement st
146 al methods would have found evidence for the Levy walk for some individuals, a comparison of the Levy
148 er support for the evolutionary advantage of Levy walk movement patterns is provided by an investigat
149 This result provides new insights into the Levy walk movement patterns of some destructive foragers
151 providing an explanation to the emergence of Levy Walk patterns that characterize human mobility patt
152 n/reaction scales can explain to some extent Levy walk searching patterns of predators at larger scal
153 lk for some individuals, a comparison of the Levy walk to CCRWs showed stronger support for the latte
155 extended indefinitely would correspond to a Levy walk whose characteristic (power-law) exponent is t
156 andom search for sparse resources known as a Levy walk, but little is known of the origins and evolut
157 fusive, scale-free movement pattern called a Levy walk, which is considered optimal when foraging for
162 ith these data and found that mussels do not Levy walk: Their movement is best described by a composi
163 ony fishes, sea turtles and penguins-exhibit Levy-walk-like behaviour close to a theoretical optimum.
168 been posited as a potential replacement for Levy walks and it has also been suggested that CCRWs hav
169 patterns that can be approximated by optimal Levy walks and shows that the 'Levy-flight foraging' hyp
174 have been posited as a strong alternative to Levy walks as models of multi-scale forager movement pat
176 ted suggestions, although disagreement, that Levy walks have functional advantages over Brownian moti
177 evidence of super-diffusion consistent with Levy walks in bacteria suggests that this strategy may h
178 ers, the Hadza of northern Tanzania, perform Levy walks in nearly one-half of all foraging bouts.
179 ggest that complex search patterns, like the Levy walks made by mud snails, can have their mechanisti
182 nian-like steps self-organize into truncated Levy walks through an apparent time-independent positive
184 s (i.e. straight-lines movements) outperform Levy walks when searching for targets that once located
185 the foraging and search efficiencies of 2-D Levy walks with a range of exponents, target resource di
186 el search behavior using random walks (e.g., Levy walks) that match empirical movement distributions.
187 for optimal random search patterns, known as Levy walks, in empirical movement data is mounting for a
188 Other possible strategies are random and Levy walks, which have trajectories and turn frequencies
194 ations reporting that many organisms perform Levy walks; movement patterns that seemingly stand apart
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