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1 a simple one-spin model which can be treated analytically.
2 r three-dimensional deformations and studied analytically.
3 an then be used to adjust for selection bias analytically.
4 d for the number of switching-steps, derived analytically.
5 cally, chemically, crystallographically, and analytically.
6 tain a precise quantitative characterization analytically.
7 me-integrals of some species can be computed analytically.
8 ny in terms of those parameters are computed analytically.
9 ransformation, and investigate its stability analytically.
10 ich is demonstrated to be the limiting ratio analytically.
11 s in state variable formulations are removed analytically.
12 aphical framework to compute multi-locus MPs analytically.
13  whereas other parameters are integrated out analytically.
14  the potential distribution cannot be solved analytically.
15 ovide a fascinating tool that is little used analytically.
16 ced and the similar behavior is demonstrated analytically.
17  regime for protein folding can be predicted analytically.
18 , but that relation has never been evaluated analytically.
19 rt to a nanoparticle array can be quantified analytically.
20 en fully characterized spectroscopically and analytically.
21 model for exfoliation that is readily solved analytically.
22  and model complex networked systems, derive analytically a modified flux-fluctuation law, and valida
23 ntribution, we develop a stochastic model to analytically account for this distribution (SPAD).
24                                              Analytically adjusted ingredient amounts are linked to a
25 , highly dynamical networks can be described analytically, allowing a quantitative discussion of the
26                               Then we follow analytically alteration in the initial abundance ranking
27 tively described as a worm-like conformation analytically analogous to that of semiflexible polymers
28                                 Recently, we analytically and biologically validated the measurement
29 mators to suit small samples and shows, both analytically and by analysing simulated and empirical da
30                                      We show analytically and by direct stochastic simulations that d
31 o the more standard method of analysis, both analytically and by example.
32        We verify the accuracy of the results analytically and by Monte Carlo simulation.
33 ndard deviation from QTL results and explore analytically and by simulation the variance of that stan
34 tributions are consistent with those derived analytically and compare well to observations.
35 the amount of input activity or correlation (analytically and computationally).
36 tical folding phenomenon is interpreted both analytically and computationally, and, in some cases, th
37 cant improvement in selectivity is explained analytically and confirmed by direct numerical many-spin
38            We also estimate the escape rates analytically and demonstrate that they are in good agree
39                      We model this situation analytically and determine conditions under which such s
40                                 We show both analytically and experimentally that the transformable m
41 , which represents a dislocation, is studied analytically and experimentally.
42 Because processivity is difficult to predict analytically and measure experimentally, agent-based com
43                                     Here, we analytically and micromagnetically study magnetization d
44                                     We study analytically and numerically a network of sparsely conne
45                      We study this mechanism analytically and numerically and show that it explains m
46                                      We also analytically and numerically compute the average escape
47                               We investigate analytically and numerically how the accuracy of our est
48 coflow microfluidic device, and we establish analytically and numerically that the initial concentrat
49                                      We show analytically and numerically that the proposed algorithm
50                                      We show analytically and numerically that these networks typical
51                               We demonstrate analytically and numerically that when the diffuse inter
52                               We investigate analytically and numerically the linear and nonlinear vi
53  and investigate its combinatorial structure analytically and numerically to establish computational
54                              We demonstrate, analytically and numerically with experimentally benchma
55                              We demonstrate, analytically and numerically, how proper spatial mixture
56 ct a two-phenotype model system and examine, analytically and numerically, its time-dependent variabi
57                       In contrast, we found, analytically and numerically, that decorrelation does no
58                             We compare, both analytically and numerically, the performance of the pro
59 ur of the resulting models are examined both analytically and numerically.
60 rodinger equation (FSE) without a potential, analytically and numerically.
61 In this manuscript, I demonstrate this point analytically and show that the practice of improperly co
62 s of nacre-like materials are here justified analytically and supported by millions of Monte Carlo si
63                        We derive our results analytically and test them using stochastic simulations,
64 od characteristics are important to consider analytically and the ways in which they are associated w
65       Reduced trail pheromone was documented analytically and through a behavioral bioassay.
66                      In this report, we show analytically and through mathematical modeling that this
67       The SRR probe performance was analysed analytically and using full-wave simulation, and predict
68                       The device is designed analytically and validated through numerical simulations
69 alysis of the sensitivity equations, derived analytically and verified by finite difference different
70                                     We prove analytically and we confirm through numerical simulation
71                 This hypothesis is developed analytically and with a variant of the Daisyworld model.
72 ow-k limit and validated the proposed theory analytically and with full wave simulations.
73                                 Here we show analytically and with simulations that optimal computati
74  has been reviewed both narratively and meta-analytically and, although the research findings are mix
75 itude static configurations can be described analytically, and an excellent match between the model a
76 ce alignment algorithms cannot be calculated analytically, and hence such algorithms must resort to m
77 w the dynamics of this system can be modeled analytically, and we derive a testable result that addin
78 termed Inverted Drift Tube, has been modeled analytically as well as numerically and proven to be a v
79 is "dendritic size effect" was explored both analytically as well as numerically, in simplified and d
80  mineral-bound lignin-derived phenols can be analytically assessed by alkaline CuO oxidation.
81 e pyrolytic graphite electrode was diagnosed analytically at concentrations suitable for a point-of-c
82 Because lipidomics offers a biologically and analytically attractive approach, we developed a simple,
83 nt test, SKAT can quickly calculate p values analytically by fitting the null model containing only t
84    Results from the cohorts were pooled meta-analytically by using random-effects models.
85                                      We also analytically calculate average synaptic changes and fluc
86 -field approach to describe fluctuations, we analytically calculate Q and frequency shifts in tension
87 ctional Brownian motion overlaid by flow and analytically calculate the accuracy of the method in dif
88 nd other, more elaborated, quantities can be analytically calculated from the underlying microscopic
89 questions about how the disposition to think analytically can evolve.
90  and its planar nature make it appealing for analytically challenging lipid samples.
91   The detection of isomerization products is analytically challenging, due to their similar chemical
92 ool due to its noninvasive nature, but it is analytically challenging.
93 he residues involved in a cross-link remains analytically challenging.
94  specific detection of LAMP products remains analytically challenging.
95 easy to generate noisy data but difficult to analytically characterize the noise or underlying data d
96               Subsequently, we developed and analytically characterized a multiplexed immuno-multiple
97 tz Crystal Microbalance (QCM) was developed, analytically characterized and described in the present
98  derivatives of 1 and 2 were synthesized and analytically characterized.
99 ion and interpretation of peptide ratios are analytically complicated and in some regard deficient.
100 ed in the context of synthetic networks with analytically computable entropies and using experimental
101  function (GF) of genealogies can be used to analytically compute likelihoods of demographic models f
102              In the infinite-graph limit, we analytically compute the exponent for specific biologica
103                                     We first analytically compute the mean time until extinction (tau
104                                           We analytically compute the RE in some exactly solvable mod
105 re we call harmonization, we develop robust, analytically consistent, and updated comparisons of esti
106                                              Analytically constructing the unbinding phase space, we
107                                           We analytically demonstrate that these approximate cloaks a
108 ise terms that are modulated by phasors that analytically depend on the lateral displacement between
109 uring local mobility decisions that helps us analytically derive commuting and mobility fluxes that r
110                                      Here we analytically derive how the stored memory in continuous
111                                           We analytically derive the optimal weights for both quantit
112                                           We analytically derive the reproductive number and perform
113 gles to larger link community structures are analytically derived and confirmed with global optimizat
114 fication of an antagonistic interaction from analytically derived concentrations of chemical constitu
115 gically founded eco-evolutionary model, such analytically derived conditions: Stasis will predominant
116                           The forms of these analytically derived expressions are consistent with exp
117 lower bounds for the reproduction number are analytically derived in the case of homogeneous populati
118                                              Analytically derived macroscopic properties give rise to
119                            We demonstrate an analytically derived pulse sequence, UDD, and find novel
120 tabolic convergence index, and a set of meta-analytically derived regions of interest reflecting AD h
121 nt wavefront-waveback interactions, we first analytically derived the relationship (under simplified
122                                     Here, we analytically derived the thermodynamic properties of a h
123 tential duration for conduction block can be analytically derived, and once this critical gradient is
124 ated from a model for which GC values can be analytically derived.
125                                          Our analytically-derived conditions for observing hormesis p
126       A theoretical approach is developed to analytically describe the proposed metamaterial with hyb
127 ved, and their electrothermal behaviors were analytically described from the heat-balance and charge-
128 he conformations of the furanose ring can be analytically described using the concept of pseudorotati
129 oint-of-entry in turbid media has never been analytically described, until now.
130 , the energy efficiency of the system can be analytically determined based on thermodynamics.
131            To summarize and compare the meta-analytically determined efficacy of pharmacologic combin
132  on compliance between calculated values and analytically determined values.
133             The family of curved surfaces is analytically determined, and a transformation is devised
134 spread of quasi-contacts near jamming can be analytically determined.
135 ion coefficients for these eight shapes were analytically determined.
136 both specifically intended for infants, were analytically determined.
137 titative detection of LAMP products is still analytically difficult.
138            The deamidation of asparagine--an analytically elusive, sub-Dalton modification--represent
139       The exact expression of energy flux is analytically established, which dissects the energy tran
140                                           We analytically estimate THz output power of the device by
141 ic theory of working memory, capacity can be analytically estimated to scale with characteristic time
142 structs local profile-profile alignments and analytically estimates E-values for the detected similar
143 where the entry pathway probabilities can be analytically expressed.
144                                ShotMAP is an analytically flexible, end-to-end annotation pipeline th
145          We solve the elastic wave equations analytically for the case of spherical symmetry, yieldin
146                          We solve this model analytically for various measures of stochastic transcri
147                   We first prove this result analytically, for the surface states of a topological in
148                                          An "analytically" framed custom application focused on perso
149 owed us to calculate the population activity analytically from experimentally derived parameters of t
150                                  We computed analytically from such models the LFP spectra and the in
151 tions, the statistical power can be computed analytically given the correlation structure of the phen
152 ly relevant hydrolytic enzyme and remove the analytically harmful interference from the biochemically
153                         Here, we demonstrate analytically how bivariate measures relate to the respec
154                                Here we study analytically how fluctuations in attentional state affec
155           In particular, we are able to show analytically how London evolves from a more loop-like st
156        Time scale separation is used to show analytically how the shape of the density-dependent rela
157                    Resonant frequencies were analytically identified and were found to be in agreemen
158 n of this law would enable the prediction of analytically important characteristics of that "hidden"
159 tionship and its range of validity are shown analytically in a model of noisy oscillation.
160                  These models were validated analytically in accordance with Brazilian and internatio
161 etics of a chemical reaction can be analyzed analytically in terms of proposed reaction schemes compo
162 pathway are computed numerically, as well as analytically in the high viral spike density limit.
163 onverted/PCR-amplified genomic DNA (gDNA) to analytically infer polymorphic methylation status (i.e.,
164 d H5N1 clades by geographic region, none has analytically inferred the history of the virus's migrati
165 ity in the expression data distributions are analytically-insignificant and that "robust" gene-callin
166   We further implement a partition method to analytically integrate out all nuisance parameters in th
167               The HMM structure allows us to analytically integrate out over all possible changepoint
168 osed hierarchical model, the SNP effects are analytically integrated out of the analysis, allowing co
169 which have previously been characterized as "analytically intractable"--readily comprehensible to the
170             The general model is, typically, analytically intractable, but specialization to a struct
171 d designed a log-barrier function to compute analytically intractable, positively constrained Beta pa
172 ional approaches are essential, though often analytically intractable.
173                 This insight, developed here analytically, is missed by the deterministic analysis as
174 ur goals were to determine relations between analytically measured and labeled ingredient content and
175 molecule analysis algorithm was developed to analytically model bursts of fluorescence and determine
176                                      We meta-analytically (n </= 20,089) evaluated associations betwe
177                                           We analytically obtain the spectra of quasi-cycles in the l
178 redicted mean percentage differences between analytically obtained and labeled amounts were calculate
179 ata under complex stochastic models is often analytically or numerically intractable in many areas of
180             Solving the hitting time problem analytically or numerically shows that stochasticity can
181 he soil vapor transport part involves either analytically or numerically solving the equations of vap
182 ochastic models that have been solved either analytically or using numerical methods.
183                         In addition to being analytically perspicuous, the resulting expressions lend
184 construct glycans in whole biospecimens then analytically pool together resulting monosaccharide-and-
185                                 Featuring an analytically powerful yet technically simple and robust
186                                     Here, we analytically predict and experimentally realize a mixed-
187 equences of complex processes that cannot be analytically predicted and for creating realistic geneti
188 nce conditions in mutualistic systems can be analytically predicted.
189 sis theory and Lyapunov stability theory, we analytically prove that if the A/A/R forces have limited
190                           In other words, we analytically prove that the commonly used A/A/R model ca
191   In many cases, the product may be isolated analytically pure after a simple extractive workup.
192  H-KITPHOS are also described; the yields of analytically pure complexes are high (75-85% and 85-90%,
193               Such complexes are isolated as analytically pure compounds with 77% and 95% yield.
194 ide salt, which is isolated by filtration in analytically pure form and in quantitative yield.
195 Fe3(OH)6(SeO4)2, have been prepared in their analytically pure forms by employing redox-based hydroth
196 lly simple and extractive isolation provides analytically pure mixtures of diastereomers as standards
197  solution with aqueous ammonia then provides analytically pure tert-butanesulfinamide in 97% yield.
198                           The assay has been analytically qualified for use in human urine and synovi
199                                           We analytically quantified endocrine disruptors and asthma-
200               However, the number of ways to analytically quantify the salient features of these mate
201                                  We start by analytically reducing a biologically plausible conductan
202 s Master equation with Maxwell relations and analytically relates the macroscopic cooling responses i
203 ering high spectral brightness along with an analytically relevant spectral tuning range of >2 mum.
204                       Our data indicate that analytically resolvable (41)K/(39)K effects arise in oce
205 sorted aerosols from pyrite ablation are not analytically resolvable.
206      Pooling data from multiple studies meta-analytically revealed that weight loss after RYGB is mai
207 mal vitamin A nutriture, using sensitive and analytically robust assays.
208             While both ELISA approaches were analytically sensitive, linear, accurate, precise, and r
209  the model of a single population to compute analytically several quantities for an allele present in
210                                           We analytically show that changes in the fractal dimension,
211                                           We analytically show that in the absence of covariates, cor
212                                           We analytically show that such a separation between time sc
213                              The strategy is analytically shown and experimentally demonstrated to pr
214                    We introduce a schematic, analytically solvable mathematical model to compare the
215  of phase locking in both cell types with an analytically solvable model based on cell size control a
216  dynamics, we analyze the dynamic gain of an analytically solvable two-degree of freedom neuron model
217                       Here, we use a simple, analytically solvable, one-dimensional bistable chemical
218                                 Although not analytically solvable, several approaches, including Mar
219 Although the general few-body problem is not analytically solvable, the so-called Efimov trimers appe
220       We explain these observations using an analytically solvable, well-mixed approximation.
221                                           We analytically solve a mathematical description of this me
222 Using the generating functions formalism, we analytically solve all the models in the limit of infini
223                           Simulations and an analytically solved model identify two distinct steady s
224          A compelling need exists to develop analytically sound and computationally advanced methods
225                                              Analytically speaking, these neural processes can be div
226 oth for ties selection and burstiness and we analytically study its phase diagram.
227 or the mean field critical exponents, and we analytically study the critical behavior of a set of fou
228                 To validate our approach, we analytically study the deviation with respect to the con
229                                  Finally, we analytically study the effect of particular models of ra
230 sion severity score from baseline, were meta-analytically synthesised for each year.
231                                              Analytically testing the accuracy of the product rule fo
232                                  It is shown analytically that (i) no Whitehead paradox need be encou
233 ubstantiate our simulation findings, we show analytically that a uniformly charged disc has a lower C
234                        In addition, we prove analytically that attribute similarity among connected n
235                                Here, we show analytically that observations randomly sampled in block
236                                      We show analytically that self-organized scale selection, a gene
237                 Here, I show numerically and analytically that such networks can generate intermitten
238                                   We confirm analytically that the emergence of the bifurcation in co
239                               We demonstrate analytically that the frequency distributions of states
240 tional indirect-association methods, we show analytically that there is a considerable gain in power
241            We demonstrate experimentally and analytically that these droplets are stabilized by evapo
242                                      We show analytically that this assortment can also be viewed in
243                                      We show analytically that this dependence is a signature of the
244 inst experimental data, one needs to predict analytically the distribution of times required for comp
245  contrast, in scale-free networks we predict analytically the emergence of super-stable nodes whose r
246  Furthermore, we demonstrate numerically and analytically the equivalence of the traditional mutual i
247 e resultant Hamiltonian allows us to express analytically the excess free energy, enthalpy, and entro
248                                     We treat analytically the model of Tilman et al. and investigate
249 d neuronal population activity and determine analytically the parameter configurations that support t
250 ious simulation study, we proceed to explore analytically the subtle but important role of the uninfo
251 in the expansion that we are able to compute analytically, the functional form of the asymptotic samp
252                                              Analytically, the PIP can facilitate a richer understand
253                                              Analytically, the SAMBA Flu duplex test detects 95 and 8
254             Although unable to be elucidated analytically, theory suggests preferred orientations of
255 orm test whose significance can be evaluated analytically, thereby improving computational efficiency
256                                 We calculate analytically time-dependent correlation functions of mRN
257 ixed (heteroresistant) samples and was shown analytically to detect RRDR mutations when present in at
258 nding system of kinetics equations is solved analytically to obtain concise expressions for isotopic
259 motion for protein dynamics, which is solved analytically to produce the eigenvalues and the eigenvec
260  long times, still maintaining the speed and analytically tractability of the LNA.
261 is framework, based upon Brownian motion, is analytically tractable and can be used in maximum-likeli
262                                  We study an analytically tractable evolutionary model, in which cues
263                   To this end, we present an analytically tractable model for a particular instance o
264                                We develop an analytically tractable model of female preference for fi
265                                 An abstract, analytically tractable model of the ITDP driven ensemble
266                In 1975, Kuramoto proposed an analytically tractable model to describe these systems,
267 tatistics theory, which, in conjunction with analytically tractable models, can be used to resolve th
268                     Whereas behaviour in the analytically tractable network is a direct but not trivi
269 te of infection at a population scale has an analytically tractable non-linear dependency on crowd de
270 f increasing complexity, progressing from an analytically tractable pure-birth model to a computation
271                   Since D(3)E is based on an analytically tractable stochastic model, it provides add
272                     With the aid of a simple analytically tractable theory, we show that an exponenti
273 the behavior of the wild-type animals and is analytically tractable, it fails at reproducing the beha
274 is to simplify the model in order to make it analytically tractable.
275  studied and well characterized what require analytically useful and powerful tools that enable real
276                                        Three analytically useful ion/ion reaction types are illustrat
277 fied three glucose derivatives that gave six analytically useful ions: (1) glucose aldonitrile pentap
278 gas-phase collision cross-section (CCS), are analytically useful metrics for identification and chara
279 ct to the electrochemical cell results in an analytically useful signal allowing the voltammetric pea
280 elied upon a signal averaging (SA) to attain analytically useful signal-to-noise ratios (SNR).
281 lescent will continue to be conceptually and analytically useful.
282 istortions that can render imaging data less analytically useful.
283 10,000-fold and thereby makes this technique analytically useful.
284 o integrate the regularization parameter out analytically using a new prior.
285 on parameter entirely, by integrating it out analytically using an uninformative Jeffrey's prior.
286 oring technique were purchased and confirmed analytically using GC/EI-MS and LC/MS/MS.
287 s were to derive this nonlinear relationship analytically using multiple regression and apply it to d
288 evin equation under this potential is solved analytically using the Onsager and Machlup action minimi
289 sed immunoaffinity with mass spectrometry to analytically validate aptamer specificity.
290 ultiplexing mutation assay was developed and analytically validated as a clinical trial assay.
291 n detected in serum or multiple tissues with analytically validated assays.
292 trategies, with a focus on the importance of analytically validated biomarkers for patient selection
293 on (LOD), specificity, and interference were analytically validated on the basis of Food and Drug Adm
294 or anti-JC virus antibody detection using an analytically validated, 2-step, virus-like particle-base
295               The mathematical model derived analytically was used to calculate the imbibition rates
296                                         More analytically, we focus on strategies of both types that
297 he eclipse phase for phages is characterized analytically, which allows us to compare the performance
298 ed version of the model which can be treated analytically with the tools of statistical physics and w
299 asure of alignment quality) to be calculated analytically, without computationally intensive numerica
300 ntial thermal analysis can remove background analytically, without physical separation.

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