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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
25 , highly dynamical networks can be described analytically, allowing a quantitative discussion of the
27 tively described as a worm-like conformation analytically analogous to that of semiflexible polymers
29 mators to suit small samples and shows, both analytically and by analysing simulated and empirical da
33 ndard deviation from QTL results and explore analytically and by simulation the variance of that stan
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
42 Because processivity is difficult to predict analytically and measure experimentally, agent-based com
48 coflow microfluidic device, and we establish analytically and numerically that the initial concentrat
53 and investigate its combinatorial structure analytically and numerically to establish computational
56 ct a two-phenotype model system and examine, analytically and numerically, its time-dependent variabi
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
64 od characteristics are important to consider analytically and the ways in which they are associated w
69 alysis of the sensitivity equations, derived analytically and verified by finite difference different
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
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
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
91 The detection of isomerization products is analytically challenging, due to their similar chemical
95 easy to generate noisy data but difficult to analytically characterize the noise or underlying data d
97 tz Crystal Microbalance (QCM) was developed, analytically characterized and described in the present
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
105 re we call harmonization, we develop robust, analytically consistent, and updated comparisons of esti
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
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
117 lower bounds for the reproduction number are analytically derived in the case of homogeneous populati
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
123 tential duration for conduction block can be analytically derived, and once this critical gradient is
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
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
149 owed us to calculate the population activity analytically from experimentally derived parameters of t
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
158 n of this law would enable the prediction of analytically important characteristics of that "hidden"
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
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
171 d designed a log-barrier function to compute analytically intractable, positively constrained Beta pa
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
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
181 he soil vapor transport part involves either analytically or numerically solving the equations of vap
184 construct glycans in whole biospecimens then analytically pool together resulting monosaccharide-and-
187 equences of complex processes that cannot be analytically predicted and for creating realistic geneti
189 sis theory and Lyapunov stability theory, we analytically prove that if the A/A/R forces have limited
192 H-KITPHOS are also described; the yields of analytically pure complexes are high (75-85% and 85-90%,
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.
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.
206 Pooling data from multiple studies meta-analytically revealed that weight loss after RYGB is mai
209 the model of a single population to compute analytically several quantities for an allele present in
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
219 Although the general few-body problem is not analytically solvable, the so-called Efimov trimers appe
222 Using the generating functions formalism, we analytically solve all the models in the limit of infini
227 or the mean field critical exponents, and we analytically study the critical behavior of a set of fou
233 ubstantiate our simulation findings, we show analytically that a uniformly charged disc has a lower C
240 tional indirect-association methods, we show analytically that there is a considerable gain in power
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
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
255 orm test whose significance can be evaluated analytically, thereby improving computational efficiency
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
261 is framework, based upon Brownian motion, is analytically tractable and can be used in maximum-likeli
267 tatistics theory, which, in conjunction with analytically tractable models, can be used to resolve th
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
273 the behavior of the wild-type animals and is analytically tractable, it fails at reproducing the beha
275 studied and well characterized what require analytically useful and powerful tools that enable real
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
285 on parameter entirely, by integrating it out analytically using an uninformative Jeffrey's prior.
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
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
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
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