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1 ress in cancer epigenetics research has been exponential.
2 ics, with a node degree distribution that is exponential.
3 s phase, where the gap scales as a stretched exponential.
4 linear functions or with less steeply rising exponentials.
8 R), a novel enzyme-free system that achieves exponential amplification of a visible signal, is presen
9 ysis of viral sequences revealed independent exponential amplification of HCV subtypes 4r and 4k from
10 tion modification, the latter allows for the exponential amplification of polymers that may be functi
12 stems have been designed with polynomial and exponential amplification that exhibit the modularity of
15 itz and similar studies have reported simple exponential and segmented scaling laws with exponents (a
16 l division and cell differentiation in which exponential and stationary growth phases play key biolog
20 ection method, ENmix, that uses a mixture of exponential and truncated normal distributions to flexib
25 phenology models (growing-degree-day (GDD), exponential, beta and bilinear models) when applied to w
26 equence, the reaction dynamics are no longer exponential, cannot be quantified by rate constants, and
27 cal Turing model that defines conditions for exponential charging to occur and provides insights into
28 This is typically measured by the rate of exponential clearance of parasitemia following treatment
31 g the nontrivial correlations encoded in the exponential complexity of the many-body wave function.
32 several hours to several months based on the exponential constant of the decay rate for each protein.
34 alysis of the geometric phantoms revealed an exponential correlation between template gray scales and
35 me decay was analysed using a standard multi-exponential decay approach and also a novel custom-writt
37 eir IRs were tightly constrained, exhibiting exponential decay at frequency-dependent rates: Mid freq
38 he range of the empirically derived apparent exponential decay coefficients (kexp) was indeed continu
40 The frequency of PMGF was fit to a double exponential decay model selected by information-theoreti
41 tions, and years was estimated with a double exponential decay model using Generalized Nonlinear Mode
46 oteins remains challenging mainly due to the exponential decay of signal-to-noise ratio with increasi
48 istics such as localization, tunnelling with exponential decay, ballistic, and diffusion behaviours d
49 e has been traditionally described by simple exponential decay, but there is increasing recognition t
50 eriment, Common Carp eDNA exhibited biphasic exponential decay, characterized by rapid decay for 3-8
53 tes the data to the sum of a small number of exponential decays, typically on the order of 2-4, LDA u
56 bsurface flow path explain the gradual, near-exponential decline of both collapse rate and the intens
58 was non-linear, that it occurred in waves of exponential decrease, and that much of it took place com
60 ing sequential growth (DP=2(n) -1) or double exponential dendrimer growth approaches (DP=22n -1) with
61 etween conducting carbon contacts exhibit an exponential dependence of junction current on molecular
62 energies in the electrodes accounts for the exponential dependence of the tunneling current on tempe
63 cal model was developed that incorporated an exponential dependence of the unit's dissociation rate o
64 e defined as the juxtaposition of linear and exponential dependencies of the accumulated carrier dens
68 ective study is to evaluate whether non-mono-exponential diffusion models better describe the water d
69 he experimentally observed presence of a sub-exponential, diffusion-limited growth regime in colonies
70 oth instruments was consistent with a single exponential dispersion model having parameters alpha = 1
72 m whose fluctuation scaling follows a simple exponential dispersion model, a segmented exponential di
73 le exponential dispersion model, a segmented exponential dispersion model, or complex scaling followi
74 tionships, such as the Horwitz curve, follow exponential dispersion models which have useful properti
75 general organizational principle based on an exponential distance rule (EDR) and cortical geometry, e
76 a recent study in PLOS Biology shows that an exponential distance rule emerges that reveals the fallo
77 potential barrier, its duration exhibits an exponential distribution determined by the barrier heigh
78 an behavior is caused by a combination of an exponential distribution in the time-averaged diffusivit
80 sandwich immunoassay in serum combined with exponential DNA amplification and pH measurement by ultr
81 s protein interactions and fitting to double exponential donor decay models provides estimates of int
83 nd SOS both exhibit fast kinetics and single exponential dwell time distributions, with average dwell
84 alous exponent (alpha) obtained at stretched exponential DWI, ADC obtained with DKI modeling (ADCDKI)
85 conventional monoexponential DWI, stretched exponential DWI, diffusion kurtosis imaging (DKI), and d
87 via Cell Systematic Evolution of Ligands by Exponential Enrichment (Cell-SELEX) and development of s
96 in vitro systematic evolution of ligands by exponential enrichment followed by high-throughput DNA s
98 involving systematic evolution of ligands by exponential enrichment with a single AMPA receptor targe
99 ed SELEX (systematic evolution of ligands by exponential enrichment) to identify RNA aptamers which b
100 ve SELEX (systematic evolution of ligands by exponential enrichment), we found that there are also ma
102 ng SELEX, Systematic Evolution of Ligands by EXponential enrichment, a technique that exploits aptame
103 RNA-based systematic evolution of ligands by exponential enrichment, bioinformatics analysis and reve
107 ed from 9 to 55 degrees C shows that the pre-exponential factor for desorption is significantly small
108 deviation from unity of the ratio of the pre-exponential factors (AH/AD = 0.3-0.4) are consistent wit
109 tational dynamics with indistinguishable pre-exponential factors and small but distinguishable activa
111 can vary even for identical systems, and pre-exponential factors sometimes differ by orders of magnit
114 lored the advantage of using transient-based exponential fitting coefficients to enhance the discrimi
115 population of odorant sensory neurons is an exponential for nearly all odors and odor mixtures, with
116 range of forces (1.5-20 pN) deviate from the exponential force dependence expected from Bell's equati
117 rate constant k+Pi(1)) and during the single-exponential force rise (rate constant k-Pi) after rapid
118 track lifetime distributions had a stretched exponential form consistent with a heterogeneously diffu
119 ynamical limit are of the form , where the q-exponential form optimizes the nonadditive entropy Sq (w
120 s that using parameter beta of the stretched exponential function (1-exp(-(t/tau)(beta)) as an analy
121 st RMSE in 248 (80.3%) of the locations, the exponential function in 39 (12.6%), and the linear funct
122 istically, the velocity variations follow an exponential function of the aperture variations at a len
123 rent (EPSC), has been updated as a stretched-exponential function with voltage factors in a more quan
124 s that using parameter beta of the stretched exponential function ~(1-exp(-(t/tau)(beta)) as an analy
125 nertial range is described by a universal q- exponential function, P(tau) = beta(2 - q)[1 - beta(1 -
129 ng distance was fitted by single or multiple exponential functions, for the inference of recent singl
133 yellow fever virus was characterised by fast exponential growth (doubling time of 5-7 days) and fast
134 ein, we describe an advancement of Iterative Exponential Growth (IEG) wherein chiral allyl-based IEG
135 chizosaccharomyces pombe under conditions of exponential growth (unstressed) and nitrogen starvation
136 atory scheme, ensuring CW flexibility during exponential growth and rigidity in stationary phase.
138 in both continents, the epidemics underwent exponential growth between 1955 and 1975, which then sta
139 some during stationary phase, whereas during exponential growth DNA gyrase and/or transcription equal
140 CsrR-mediated protection of sigma(S) during exponential growth enables rapid adaptation of S. oneide
143 past 3 decades have been characterized by an exponential growth in knowledge and advances in the clin
144 al heart disease continue to benefit from an exponential growth in minimally invasive interventions a
145 e-dimensional (3D) printing has undergone an exponential growth in popularity due to its revolutionar
146 tary, and fossil fuel economies, has spurred exponential growth in population and in resource use tha
148 ental data is consistent with the tail of an exponential growth in surface tension as temperature dec
149 ivate the science of hygiene" to bring about exponential growth in the evidence base for public healt
152 king tool for molecular discovery due to the exponential growth of available computer time and consta
155 +) cells induced by GM-CSF readily supported exponential growth of L. monocytogenes Flt3 ligand-induc
162 s exceed the film thickness, leading to full exponential growth over 3 orders of magnitude thickness.
163 sequesters and protects sigma(S) during the exponential growth phase and thus enables rapid gene act
166 um sensing system, and a poorly defined post-exponential growth phase signal independent of Agr.
168 n of CovRS-controlled virulence genes at the exponential growth phase; however, mutations of RocA but
169 r variability in cell division placement and exponential growth rate across individual cells in a pop
170 ty is heterogeneous across the brain but the exponential growth rate and time of half maximal Abeta c
171 the El Tor biotype prior to the cessation of exponential growth results in a more pronounced decline
172 27.4 kDa (128mer, 7.9 g) using an iterative exponential growth strategy with a degree of polymerizat
173 wo independent 1) kickoff-repopulation using exponential growth with a decreased volume doubling time
175 tion in estimates of the timing of the early exponential growth, ranging roughly from 1940 for NS2, t
178 entered into the last gate and triggered an exponential hairpin assembly to form four-way junction n
182 This effect is largely attributed to the exponential increase in chromosome segregation errors in
184 2)), in situ mass loss measurements found an exponential increase in particle emission, indicating th
186 Advances in mammography have sparked an exponential increase in the detection of early-stage bre
187 is not computationally efficient due to the exponential increase in the number of binding sequences
188 tically with the scale of GRNs, resulting an exponential increase in the number of candidate solution
190 ment at elevated temperatures demonstrate an exponential increase in the values of the dielectric pro
192 fat) measured at the end of storage, and the exponential increase of hexanal concentrations (up to 13
194 t a simple set of conditions implies roughly exponential increases in the frequency of the very large
197 s demonstrated using simulations of adaptive exponential integrate-and-fire model neurons (AdEx).
200 d contrasting evidence: dynamics faster than exponential, intermittency and abrupt structural changes
204 atios to a pair of W isotopes, following the exponential law, no residual W-O isotope correlation is
205 ect accounts for the natural logarithmic pre-exponential ln (A/min(-1)) factors of ca. 19-35 and 28-4
207 ort and a large one, we showed that that the exponential mechanism based on the SHD score preserves t
208 statistic, P-values, projected P-values and exponential mechanisms based on the TDT test statistic a
210 is gradual and its origin is in slower than exponential microscopic dynamics, akin to the ones in su
212 n-weighted imaging quantified using the mono-exponential model has shown great promise for monitoring
214 formulas was described by fitting the single exponential model to the change in peak intensities over
218 ial fit (ADCME), ADC obtained with stretched exponential modeling (ADCSE), anomalous exponent (alpha)
219 phenology simulation bias, while the GDD and exponential models maintained a comparatively constant b
221 py) using cumulative incidence and piecewise exponential models to estimate relative rates and 95% co
226 ctions (PDFs) for many common distributions (exponential, multiexponential, Gaussian, etc.), as well
227 twork growth and epidemic spreading leads to exponential networks for any finite rate of infectiousne
228 pproaches that work directly with the matrix exponential of the underlying continuous-time Markov cha
229 nging it to predominantly dipolar or even to exponential one at lateral distances exceeding the dimen
230 ile many studies suggest exponential, double exponential or power laws as empirical forms, we contend
231 tau on high-density surfaces, the stretched exponential (or Kohlrausch) function is required to dete
233 in small RNAs, such as 6S RNA, remain low in exponential phase cells, and increase greatly in station
234 transcriptional activity evident during mid-exponential phase followed by a sharp decrease in activi
237 reased from 6.8 to 3.0 mmol/mol-C at initial-exponential phase then increased to 4.2 mmol/mol-C at de
238 were observed, with an overestimation of the exponential phase when using a caliper as compared with
239 iently and synchronously in all cells during exponential phase, and is accompanied by a pause in grow
240 protein are at their highest levels in early exponential phase, but then decrease dramatically and ar
241 vate as a result of unbalanced growth during exponential phase, compounds that were later consumed in
244 scription (PCT) reaction that results in the exponential production of orders of magnitude more RNA o
245 of longitudinal studies point to a negative exponential progression pattern of dopamine loss in PD.
247 Here, we develop the correlation Generalized Exponential Random Graph Model (cGERGM) - a statistical
248 ivision, the small daughter grew at a faster exponential rate than the large daughter, an observation
249 to-reach audiences, knowledge exchange at an exponential rate, and enabling new means of capturing an
250 linking mutations on genes to diseases at an exponential rate, yet characterizing the gene-mutation-c
254 multilayer growth in the linear and into the exponential regimes, which explains how PDADMA can myste
255 ll DDKT rate did not change as modeled using exponential regression adjusting for candidate character
256 enerated using the relative magnitude of the exponential regression model coefficients of independent
258 icotinic acetylcholine receptors there is an exponential relationship between these two equilibrium d
259 ron formation kinetics reproduces the triple-exponential relaxation frequently attributed to trap sta
262 ting in nonlinear colloidal suspensions with exponential saturable nonlinearity leads to formation of
266 antum matter on a classical computer and the exponential speedups afforded by quantum computers.
268 ture of our approach is that our theorems on exponential stability of steady states for homogeneous o
269 of beneficial mutations can be described as exponential, supporting a current hypothesis for adaptiv
271 s, which includes carrier relaxation into an exponential tail of trap states extending up to 1.5 eV i
272 togram of the protein displacements shows an exponential tail, which is robust and universal for cell
273 arameterized with our experimentally derived exponential terms, accurately reproduces N2O profiles in
274 drogen treatment are analysed using the mono-exponential, the intravoxel incoherent motion, the stret
275 In this article, we proposed a penalized Exponential Tilt Model (pETM) using network-based regula
278 the simulations), force relaxed with a slow exponential time course and did not show biphasic behavi
279 This saccade adaptation typically follows an exponential time course, i.e., adaptation speed slows as
282 ds are restricted to special cases or run in exponential time; are not sensitive to clustering of dat
283 ility in CF decreased while a change from an exponential to a power law distribution of APT from basa
284 . cruzi epimastigotes transitioning from the exponential to the stationary phase exhibit a finely tun
287 and the disintegration kinetics followed an exponential trend, suggesting that erosion was the predo
290 s on two simpler networks for comparison, an exponential unclustered and a random network, and found
293 ting (i.e., single-exponential versus double-exponential) using the log-likelihood ratio technique, w
294 3) MEMLET offers model testing (i.e., single-exponential versus double-exponential) using the log-lik
298 as sum of monotones modulated by a decaying exponential, with angular attenuation by a modified card
299 t profile in the egg chamber is likely to be exponential, with the highest concentration in the oocyt
300 ent methods use either exact algorithms with exponential worst-case running time or heuristics that d
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