ライフサイエンスコーパス: power law

1 d the autocorrelations to an exponential and power law.

2 lus/particle-throat diameter ratio follows a power law.

3 The observed distribution is a truncated power law.

4 the bulk, while their tail obeys the Pareto power law.

5 y clustering behavior and growth following a power law.

6 lity density function well approximated by a power law.

7 d the autocorrelations to an exponential and power law.

8 -story timeline; it is geometric rather than power law.

9 distal regions weakly connected, following a power law.

10 me points and can be described by an inverse power law.

11 higher than expected from the scaling of the power law.

12 y depends on the network size according to a power-law.

13 period of time is typically distributed as a power-law.

14 moisture thresholds above the mean, follows power laws.

15 ibutions fit the data as well or better than power laws.

16 path lengths, which are well approximated by power laws.

17 melodies and rhythms found worldwide follow power laws.

18 emporal dependencies decaying according to a power law across trials, a hallmark of systems at critic

19 nger peak and shallow hyperpolarization; for power-law activation of the sodium conductance (m gate),

20 sport modes can result in the same diffusion power-law alpha, which is typically obtained from the me

21 , and modeled through 20Y using a Piecewise, Power law and Fraser model.

22 dependence, however, switches to a sublinear power law and then to a linear increase as the density d

23 Often expressed in the form of power laws and called scaling relationships [1, 2], they

24 erior evolutionarily singular strategies for power-law and exponential trade-offs: Thus, bistability

25 dard viscoelastic model and compare with the power-law approach.

26 Power laws are cornerstone relationships in ecology and

27 s empirical forms, we contend that truncated power laws are natural candidates.

28 s suggest exponential, double exponential or power laws as empirical forms, we contend that truncated

29 Empirical evidence exists of power laws associated with the number of species inhabit

30 apshots of the abundance distribution show a power law at intermediate abundances that is essentially

31 We, therefore, have developed a power-law based estimator to measure allele and haplotyp

32 This suggests that power-law based estimators offer a valid alternative to

33 As a consequence, power-law behaving conductances result in an increase in

34 en the voltage trace and the activity of the power-law behaving gate variable.

35 enerate action potentials with the different power-law behaving gates.

36 sical model, the action potential shapes for power-law behaving potassium conductance (n gate) showed

37 s an asymptotic invariant value that follows power law behavior as a function of pressure.

38 unctions induces hierarchical modularity and power law behavior in network evolution as the network o

39 invariance begins is shown to have a similar power law behavior with respect to pressure.

40 ng dynamics and explains the exponent of the power law behavior.

41 exponents as previously proposed in critical power law behaviors.

42 Further, we uncover an inverse power law behaviour of spectral measures with the power

43 istributions conformed strongly to predicted power-law behaviour.

44 from the tumor feature set, and skewness and power law beta from the parenchymal feature set-were sel

45 ng-range dispersal in all directions, and 3) power-law biased by flyway direction -long-range dispers

46 From estimated parameters, we find that the power-law biased by flyway direction kernel is the best

47 ation sizes with a characteristic, Orr-like, power law, but at large population sizes slow, character

48 0,000 NPs uncovered that NP research follows power-law characteristics typical for behavioral phenome

49 These physical constraints frame the -1/4 power law classically inferred from allometry of animal

50 treatment to provoke a drastic change in the power law coefficient and to demonstrate the feasibility

51 gy and show that the method to determine the power law coefficient is robust against drift and largel

52 istances, the decay in information follows a power law, consistent with underlying hierarchical proce

53 inear magnetoresistance, an excess -TlnT (or power law) contribution to the low temperature heat capa

54 mplex temporal organization, with long-range power-law correlations and a robust duality of power law

55 ence along all directions, whereas no simple power law could describe the temperature dependence of t

56 stress, presumably due to the activation of power-law creep during the post-earthquake period.

57 rm that parameter recovery variance exhibits power law decay as a function of the length of available

58 -tree" structure is universal and leads to a power law decay of the currents distribution.

59 and trapped holes, which exhibits a t(-1/2) power-law decay at long times.

60 titative argument, we demonstrated that this power-law decay can be explained by a wide variation of

61 etween these effects gives rise to anomalous power-law decay of the spin-structure factor, with conti

62 rsisters exhibited a long tail captured by a power-law decay.

63 tributions measured in this region exhibit a power-law decay.

64 a range of energies, and then recombine with power law decays that are indicative of charge trapping-

65 e independent in the range 5-60 K and show a power-law decrease with temperature above 60 K, which is

66 edict the correct values of the exponents of power-law degree distributions observed in real networks

67 er law or an exponentially truncated shifted power law delay distribution, revealing two universal de

68 The power law dependence of Ho3N@C80(q+), q = 1-2, was found

69 Moreover, higher-order power law dependence of photoluminescence intensity is o

70 The quadratic power law dependence of the photoluminescence intensity,

71 ce between adjacent DNA-NPs follows a simple power law dependence on solution ionic strength regardle

72 le probabilistic framework that captures the power law dependence on the strand's valency, and the in

73 ion in these bilayers is well described by a power-law dependence of the mean-square displacement wit

74 ility of a single bacterium follows a simple power-law dependence on the concentration of integrins.

75 ints, and approximately followed a predicted power-law dependence on the vessel diameter.

76 rier mobility follows an inverse-temperature power-law dependence, mu proportional, variant T(-) (gam

77 Our data suggest that a power law describes the frequency of repeat synthesis of

78 the interaction energy experiences different power law distance decays, magnitudes and dependences on

79 et degree distribution yielded by GENESCs is power law distributed for large SCs and show that it is

80 onal avalanches, whose size and duration are power law distributed.

81 Lake surface areas >/=8.5 km(2) are power-law distributed with a tail exponent (tau = 1.97)

82 , in which flight step lengths are typically power-law distributed, provides a relatively simple yet

83 gate volume and surface area are found to be power-law distributed, while Feret diameter is exponenti

84 Lakes <8.5 km(2) are not power-law distributed.

85 The longer, super-power-law-distributed connections form a global rainfall

86 We attribute the shorter, power-law-distributed connections to regional weather sy

87 of these seals were described by a truncated power law distribution across several spatial and tempor

88 rial cluster structure at percolation with a power law distribution and exponent matching the theoret

89 log-normal distribution near the mean and a power law distribution at the tail.

90 ased while a change from an exponential to a power law distribution of APT from basal to upper trophi

91 ss-of-fit methods showed the data followed a power law distribution over the relevant range.

92 urns) taken by foragers are well fitted by a power law distribution.

93 Small lakes deviate from the power-law distribution because smaller lakes are more su

94 This results in a power-law distribution for the cell size, with an expone

95 t of a cascade characterized by an isotropic power-law distribution in momentum space.

96 of amine-templated metal oxides(9) follow a power-law distribution in which 17% of amine reactants o

97 ic associated with SOC: their sizes follow a power-law distribution indicating self-similarity.

98 adiation emitted by plasma mirrors follows a power-law distribution of energy over frequency with an

99 te that neutral tumor evolution results in a power-law distribution of the mutant allele frequencies

100 s a (simplified) reaction network, follows a power-law distribution, and the clustering coefficient o

101 c conditions in terms of the exponent of the power-law distribution, of the number of individuals wit

102 The sizes of communities follow a power-law distribution, which indicates that the binding

103 sitivities across odorants and ORNs follow a power-law distribution.

104 the observed clone sizes follow a universal power-law distribution.

105 atoms (avalanches) obeying a characteristic power-law distribution.

106 rs (diameters between 300 nm and 2 mum) with power law distributions of crackling noise P(s) ~ s(-tau

107 in tree and phytoplankton communities follow power-law distributions and that the average exponents o

108 These are consistent with power-law distributions commonly found in interevent tim

109 It is characterized by universal power-law distributions in on- and off-times as well as

110 Cluster masses exhibit power-law distributions with exponents -3/2 and -5/2 bef

111 e speed of the waves and naturally generates power-law distributions.

112 from high-order saddle points and exhibiting power-law divergent density of states.

113 e plastic deformation that displays the same power-law dynamics as the fully reversible viscoelastic

114 To implement slow-adapting power-law dynamics of the gating variables of the potass

115 results offer a mechanistic understanding of power-law early growth patterns emerging from various do

116 A power-law emerged describing an orderly relation between

117 mutational frequency spectrum follows a 1/f power law expected from neutral evolution in a particula

118 high shear rates (>500 s(-1)), at which the power law exponent (n) of zebrafish blood was nearly 1 b

119 vity during the resting state indexed by the Power Law Exponent (PLE) in PostCG and AI.

120 riance in abundance of populations, with the power law exponent considered a measure of aggregation.

121 than Zipf's law, a Pareto distribution with power law exponent equal to one.

122 The inverse power law exponent of 1/f-type noise is shown to decreas

123 It is described by a continuously varying power law exponent versus energy and temperature (hence

124 there is a discrepancy between the observed power-law exponent and that predicted from the noise par

125 of elastic modulus E and fluidity beta (the power-law exponent of the cell deformation in response t

126 The power-law exponent of the step length distributions and

127 rements of apparent elastic modulus, Ea, and power-law exponent, beta.

128 The theory also predicts larger power-law exponents for lower-dimensional stimulus ensem

129 Strikingly, power-law exponents of brain/SOG/sensory-blocked larvae

130 on-monotonic crossover between two different power-law exponents.

131 (-beta), where spectral power decreases in a power-law fashion with increasing frequency.

132 r, there are a number of residuals above the power-law fit, indicating connections between brain regi

133 We find that the neutral power law fits with high precision 323 of 904 cancers fr

134 motion of dislocations and, then, introduce power-law flow rules.

135 A model where power-law fluctuations of the alpha envelope inhibit bas

136 By fitting the power-law fluid model to the travel distance of blood th

137 ithmic for 12, power law for 7, and modified power law for 2 using WBN data and were linear for 9, qu

138 for 25, cubic for 2, logarithmic for 6, and power law for 4 using PN data.

139 tic for 13, cubic for 6, logarithmic for 12, power law for 7, and modified power law for 2 using WBN

140 tes in Ho3N@C80 is responsible for the n = 3 power law for singly charged parent molecules at intensi

141 A power law for the sample's thermal conductivity kappa =

142 ently interact and grow in accordance with a power law formalism.

143 iscoelastic models and the paradigmatic weak power law found to interpret the viscoelastic properties

144 The power law function is found to be independent of factors

145 W is shown to be a power law function of P with scaling exponent X [demogra

146 G is shown to be a power law function of P with scaling exponent Z [group c

147 demonstrate that the contact stiffness is a power law function of the normal contact load with an ex

148 etermined by the initial concentration and a power law function of the remaining volume fraction.

149 C is shown to be a power law function of W with scaling exponent Y [conflic

150 etry, by modeling nonspecific binding with a power-law function.

151 bundances are better described as nonlinear, power-law functions of microbial cell abundances.

152 stitution model, which not only explains the power-law growth, but also collapses diverse growth traj

153 ulates that this decline takes the form of a power-law holding at all distances.

154 We found a power-law improvement in performance with stimulus area,

155 The observed momentum dependence of the power law in the high-energy region matches the theoreti

156 t experimental evidence for this new type of power law in the spectral function of interacting electr

157 ow a viscoelastic deformation that follows a power law in time.

158 of both ECM and cells were well described by power laws in a frequency range that governs single fila

159 Power laws in physics have until now always been associa

160 al farmers' decisions that predicts specific power laws in spatial patterning that are also seen in a

161 functional categories change, on average, as power-laws in the total number of protein-coding genes.

162 on potentials had a sharp rise time; and for power-law inactivation of the sodium conductance (h gate

163 iminary results from sea surface tows show a power-law increase in small microplastics (i.e., <1 mm)

164 listic features, such as overlapping indels, power-law indel-length distributions, and indel rate var

165 re of brain states under LSD closely follows power-laws indicating a re-organization of the dynamics

166 volutionary model with an empirically common power-law insertion/deletion length distribution.

167 distributed in space, the exponent b of this power law is conjectured to reflect aggregation in the s

168 he fraction of nodes with degree k follows a power law k(-alpha), a pattern with broad implications f

169 When combined, these two power laws led to the variance-mass allometry (VMA), whi

170 ee path scale with temperature with the same power law, lending further support to our findings.

171 ved between the exponents determined for the power law linking quadratic reduced velocity and lava fo

172 he regression parameters for both linear and power laws, linking seismo-acoustic and eruptive time se

173 versus energy and temperature (hence named a Power Law Liquid or PLL), which with doping varies smoot

174 el: 1) exponential-short-range dispersal, 2) power-law-long-range dispersal in all directions, and 3)

175 istributions have significant deviation from power law-mainly since larger facets tend to subsume sma

176 gue that the co-emergence of common temporal power laws may indeed originate from neural networks poi

177 l (r(2) = 0.87 and 0.92, respectively), or a power law model (r(2) = 0.82 and 0.93, respectively).

178 The power law model adjusted data of apparent viscosity.

179 in primary consolidation is analysed with a power law model following an approach in which creep is

180 We present a simple power-law model for the frequency of repeat syntheses an

181 ological parameters of the network exhibited power law nature indicating hierarchical scale-free prop

182 sity stratification, and find that neither a power-law nor exponential function provides a definitive

183 formation and dissolution, which results in power-law numbers of partners over time.

184 sure of heat transport-follows the classical power law of [Formula: see text] up to [Formula: see tex

185 does per outbreak vary according to Taylor's power law of fluctuation scaling (TL), with parameters t

186 entrations in surface precipitation follow a power law of precipitation depth that is modulated by pr

187 it converges in a number of steps that is a power law of the network size.

188 The size of the droplets scales with a power law of the ratio of viscous stresses in the two AT

189 ough the perimeter of the tree clusters, the power law of the soil moisture islands is transformed in

190 ula: see text] diverges as a theta-dependent power law of the system size.

191 relationship as well as changes in the weak power law of the viscoelastic moduli.

192 ntrast to the architecture-dependent modulus power-law of the existing engineering materials; under l

193 arriers into two groups exhibiting a shifted power law or an exponentially truncated shifted power la

194 y documented mismatches between predictions (power-law or concave curvature) and observed empirical d

195 rate for new industries self-organize into a power law over relatively short time scales.

196 how that tree cluster sizes were governed by power laws over two to three orders of magnitude in spat

197 arkably, the intracellular and extracellular power law parameters for the entire dataset collectively

198 a model to explain the emergence of apparent power law path length distributions in animals that can

199 d that "Levy random walks"-which can produce power law path length distributions-are optimal for memo

200 raw moments of the SADs of arthropods have a power law pattern similar to that observed for the SAD o

201 harge separation was signalled by pronounced power-law photoluminescence decay polarized along the sa

202 ork has a degree distribution that follows a power-law (PL) pattern.

203 eroding surface was well represented by the power-law (R(2) > 0.77).

204 The pdf exhibits an approximately power-law range where probability density drops slowly w

205 ng) on rate decreases with time via multiple power-law regimes before the terminal steady-state (cons

206 , longer residence times) delay entry to the power-law regimes.

207 avalanche distributions display two distinct power-law regions, in contrast to those in the two-dimen

208 Regarding power law regressions, a clear relationship was observed

209 Our model leads to a power law relation between the critical strain at failur

210 We identify consistent power-law relations truncated by systematic pressure-dep

211 Diffusion coefficients were modeled by a power law relationship as a function of dextran molecula

212 t observation-based field models to derive a power law relationship between the angular dispersion of

213 a function of spatial volume exhibits a 3/4 power law relationship.

214 orce depends on the induction according to a power-law relationship and on the bead-tip distance acco

215 Our results indicate a power-law relationship between the number of connected n

216 n efficiency for small molecules is a simple power-law relationship to the log P value.

217 ion probability along a social tie follows a power-law relationship with the numbers of disseminator'

218 ions that are stronger than predicted by the power-law relationship.

219 Specifically, we find power-law relationships describing short- and long-term

220 itions are related to the fluid viscosity by power-law relationships.

221 the model, which are characterized by quasi-power-law release profiles with exponents ranging from 0

222 A single power law reproduces the 50-fold variation of viscosity

223 ple extension of the prevailing viscoelastic power-law response theory with a plastic element correct

224 ous mechanism for the emergence of truncated power law return times.

225 n response to applied shear stress featuring power law rheology with exponents that match those of re

226 for example, standard linear solid (SLS) or power-law rheology (PLR), best suits the experimental da

227 Power-law rheology and collapse onto a master curve are

228 he complex behaviour of our model, including power-law rheology and non-diffusive bubble motion and a

229 e observe that time-dependent strain follows power-law rheology, enabling single-cell measurements of

230 acellular microenvironment of the bead obeys power-law rheology.

231 ), and particle displacement events having a power law scaling in magnitude, as found in earthquakes.

232 in deviations from criticality and from the power law scaling of avalanche size distribution.

233 41 species conforms to Kleiber's law-the 3/4-power law scaling of metabolism with bodyweight-and inve

234 Kleiber's law, or the 3/4 -power law scaling of the metabolic rate with body mass,

235 To account for host sharing, we fit a power law scaling relationship for host-virus species in

236 e density-density correlation function shows power law scaling.

237 ado-related atmospheric proxies show similar power-law scaling and multiplicative growth.

238 All three types of chromatin domains exhibit power-law scaling between their physical sizes in 3D and

239 uctures as evidenced by a surprisingly small power-law scaling exponent (0.22) between the radius-of-

240 CRSS depends on pillar size with an inverse power-law scaling exponent of -0.63 independent of orien

241 h compartment should be tuned according to a power-law scaling in the compartment size.

242 The observed TL power-law scaling of outbreak severity means that extrem

243 tion is further manifested in changes in 1/f power-law scaling of the spectral distribution of curren

244 inated nonlinear transport shows a universal power-law scaling relationship with both temperature and

245 y for PPII structure are linked via a simple power-law scaling relationship, which was tested using t

246 ibble-Zurek mechanism (KZM) and the obtained power-law scaling verifies the main prediction of KZM.

247 The area of the structure obeys a power-law scaling with the number of spheres.

248 constitute the strongest deviation from 1/f power-law scaling, the signature of LRD.

249 ess phase responsible for the emergence of a power-law scaling; and (ii) the vicinity of the classica

250 e, in this nonstationary condition, exhibits power-law, shear-thinning behavior and scales exponentia

251 The dramatic nature of the power law shift leads to the conclusion that this proces

252 ibit sharply peaked dynamical timescales and power law signatures of the critical dynamics.

253 e also show that this behavior arises from a power-law singularity in the distribution of transition

254 Those left in the understory follow a power-law size distribution, the scaling of which depend

255 strate that single-crystalline Li exhibits a power-law size effect at the micrometer and submicromete

256 Earthquakes follow a well-known power-law size relation, with smaller events occurring m

257 ally, there is a discrepancy between iceberg power-law size-frequency distributions observed at glaci

258 hibit a gradual transition from an incipient power-law slip regime (spanning [Formula: see text] 2.5

259 The power source is constrained to have a power-law slope of -1.2 +/- 0.3, consistent with radioac

260 the energy conditions for the de Sitter and power-law spacetimes is provided in terms of the fixed k

261 Nevertheless, broad power law spectra of compressive fluctuations are observ

262 e in a collisional fluid and does have broad power law spectra.

263 lativistic plasma mirrors generate broadband power-law spectra, that may span the gap between petawat

264 This scaling was not inherited from the power law spectrum of natural images, because it persist

265 cale over a large region of sizes leading to power law statistics.

266 Consistent with theory, we find evidence of power-law statistics in the tail of C. crescentus cell-s

267 lls at which one observes the characteristic power-law statistics of cluster sizes, consistent with o

268 newborns in the adder phase itself exhibits power-law statistics.

269 s consistent with a Luther-Emery liquid with power-law superconducting and charge density wave correl

270 current without a threshold and follows the power-law T(n) with n ranging from 1.5 to 2.5.

271 l, whereas the early-time kinetics follows a power law ~t(5).

272 field-a "softness field"-is considered, this power law tail manifests itself by highly localized spot

273 h of business firms follow the same sorts of power laws that characterize physical systems near their

274 emergence of nontrivial modifications of the power laws that govern noncovalent interactions at the n

275 he transition point follows a characteristic power-law that indicates a universal scaling behavior fo

276 p off exponentially fast but has to follow a power-law that long-term evolution experiments have asso

277 pattern (linear, exponential, quadratic, or power law) that best represented growth.

278 ional, and correlations obeyed an unexpected power law: the nth principal component variance scaled a

279 wer-law correlations and a robust duality of power law (theta-bursts, active phase) and exponential-l

280 ong-range correlations and robust duality of power-law (theta-bursts, active phase) and exponential-l

281 The phase variance follows a power law time dependence, with an exponent determined b

282 We used log-log regression of the power law to evaluate allometric scaling for these movem

283 of stress drops simultaneously changes from power law to exponential.

284 Taylor's power law (TPL) describes the relationship between the m

285 related stiffening of the material follows a power law, typical of the mechanics of nonthermal bendin

286 .005) around the globe decays according to a power law up to distances of about 2,500 kilometres.

287 nonnegative measurements via an approximate power law: variance g approximately a [Formula: see text

288 oth structures display remarkably consistent power law viscoelastic behavior along with highly interm

289 We studied the effects of non-Markovian power-law voltage dependent conductances on the generati

290 correlations that decay exponentially or as power laws, where the latter functions generate anomalou

291 ell types and that sorting dynamics follow a power law with an exponent of approximately 0.5.

292 phase, the spin-spin correlations decay as a power law with distance, indicative of a gapless phase.

293 tific fields, early growth patterns follow a power law with non-integer exponents.

294 to cognate antigen obeys a striking inverse power law with respect to the initial number of T cells.

295 soil moisture islands is transformed into a power law with the same exponents observed in the tree c

296 defined SSR processes and is able to produce power laws with arbitrary exponents.

297 h, and mortality are often well described by power laws with exponents near 3/4 or related to that va

298 at the frequency distributions of states are power laws with exponents that coincide with the multipl

299 nnas are commonly found in sizes that follow power laws with well-established exponents.

300 have been replicated many times more than a power law would predict.