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1 principles of physics (ie, the Navier-Stokes equations).
2 d generalization of a simplified equilibrium equation.
3 nd values predicted with the Stokes-Einstein equation.
4 nin degradation was modeled by the Arrhenius equation.
5 blem is reduced to a single algebraic matrix equation.
6 n dispersion calculated based on the BCS gap equation.
7 a single height- or area-based quantitation equation.
8 ne-cystatin C CKD-Epidemiology Collaboration Equation.
9 acy and feasibility of the established model equation.
10 ncertainty through a stochastic differential equation.
11 and could not be explained by the Arrhenius equation.
12 xact solution of linearized phonon Boltzmann equation.
13 mplementary information to the clinical risk equation.
14 that avoids direct solution of the Kohn-Sham equations.
15 consistency of the fluctuating hydrodynamics equations.
16 ompared by race using generalized estimating equations.
17 combines material balances and kinetic rate equations.
18 in all systems was estimated with allometric equations.
19 ng of the force-balance and myosin transport equations.
20 ally generate a system of reaction-diffusion equations.
21 g and compare them with results from Fresnel equations.
22 on zone (TZ) by using generalized estimating equations.
23 erestimation of D by employing the Nicholson equations.
24 l equations, for example, reaction-diffusion equations.
25 kers (eg, DTPA, iohexol), or estimated using equations.
26 dy fully coupled Poisson-Nernst-Planck (PNP) equations.
27 g to go through the complicated mathematical equations.
28 citonic reservoir described by a set of rate equations.
29 hich is not captured by standard firing rate equations.
30 hain, by numerically solving a set of matrix equations.
31 timated using Poisson generalized estimating equations.
32 were calculated using generalized estimating equations.
33 ved as self-consistent solutions of integral equations.
34 tors (k(obs) values) for corresponding power equations.
35 3; 95% CI, 0.68-0.79) than the Pooled Cohort Equations.
36 s were assessed using generalized estimating equations.
37 were conducted using generalized estimating equations.
38 s, bypassing the need to solve the Kohn-Sham equations.
39 ynamical evolution from partial differential equations.
40 were evaluated using generalized estimating equations.
41 an Health Survey 2011-12, and energy balance equations.
42 r and Fourier in Navier-Stokes-Fourier (NSF) equations.
44 possible in the cubic non-linear Schrodinger equation (3NLSE) domain, and provides a further proof of
45 ation factor (beta of the simplified Simmons equation) across these SAMs with the corresponding value
48 isson regression with generalized estimating equations, adjusting for age, sex, socioeconomic positio
50 rom SPECT HMR via a simple linear regression equation, allowing use of the new cardiac-dedicated SPEC
51 ned molecular dynamics simulation and master equation analysis to elucidate the folding of an RNA pse
52 ugh a combination of the Boltzmann transport equation and ab initio calculations shows an excellent a
54 he model takes the form of a dispersive wave equation and predicts canal responses to angular motion,
55 asurements were mapped against the consensus equation and receiver operating characteristic (ROC) cur
56 l provides a number of ordinary differential equation and stochastic numerical solvers for single-com
57 nse experiment, this paper used the logistic equation and the Gompertz equation to fit the growth pre
58 , and differences between the SAFEHEART risk equation and the other 2 were significant (P=0.023 and P
59 n rate could be represented by the Arrhenius equation and therefore can be controlled by the temperat
60 rlattices by solving the Boltzmann transport equation and using the Beckman-Kirchhoff surface scatter
61 rably with calculated values from the Levich equation and with data obtained using more typical, nong
65 y using multivariable generalized estimating equations and evaluated the impact of adjusting for surv
66 malism includes exact treatment of Maxwell's equations and exact treatment of the interaction among t
68 y numerically integrating the nonlinear rate equations and performing linear stability analysis, reve
69 egression models with generalized estimating equations and robust variance estimators and included ad
70 lk equations into free- and bound-associated equations and solving resulted inverse problem by using
71 simulated and analysed by solving Laplace's equation, and the deformation of the medium during the t
73 ing multiple linear and nonlinear mathematic equations, and the significance of sex was assessed usin
75 ession models under a generalized estimating equations approach to explore the relationship between A
79 emperature ranges of the data from which the equations are derived; and (4) model performance is stro
81 is suppressed and the standard Wilson-Cowan equations are formally recovered as long as external inp
82 red by two hand-helded analyzers: conversion equations are needed to compare the FENO values between
83 re described by ultrarelativistic Dirac-like equations, are of a significant current interest from bo
85 ponse, we here analyze a set of differential equations as well as simulations employing the cellular
87 ate algorithms for solving the Fokker-Planck equations associated with high-dimensional nonlinear tur
90 roperties of solutions for systems of linear equations based on a random choice of [Formula: see text
91 the USEPA's current hardness-based criteria equations but with DOC, pH, and hardness as the independ
92 isson regression with generalized estimating equations calculated the relative risk (RR) and 95% conf
93 Rice-Ramsperger-Kassel-Marcus (RRKM)-master equation calculations correctly predict the direction of
95 Neumann and Wigner showed that Schrodinger's equation can have bound states above the continuum thres
97 quation is shown to approach the phase field equation commonly used to simulate the above processes.
98 erreporter phenotype; generalized estimating equations compared 6MP intake by self-report and MEMS.
99 tic problem and its reduction to simple rate equations; computation of binding rate constants; quanti
100 described non-Michaelis-Menten kinetics with equations containing parameters equivalent to kcat and K
101 ally take the form of nonlinear differential equations depending on parameters; dynamical systems the
102 e we propose a Bayesian approach based on an equation derived with the total quasi-steady-state appro
103 pair of first order, non-linear differential equations, derived from the Lotka-Volterra model (Predat
104 mbination with the phenomenological Langevin equation describing the periodic conformational changes.
110 solution to the spherical diffusion-reaction equation enabled testing of several models for the react
117 ogy/American Heart Association Pooled Cohort Equation for the composite outcome and incident heart fa
120 solutions to the two-dimensional (2D) Dirac equation for the one-dimensional Poschl-Teller potential
121 statistical approach to derive a prediction equation for the partial pressure of CO2 (pCO2 ) in lake
124 the fluctuating Poisson-Nernst-Planck (PNP) equations for charged multispecies diffusion coupled wit
125 ing cystatin-C-based eGFR in risk prediction equations for CKD progression and all-cause mortality an
127 (ACCORD, n=9635; 2001-09) and validated the equations for microvascular events using data from the D
128 en to the complex highly nonlinear transport equations for non-conserved variables that arise from th
129 nt regime, we derive a reduced closed set of equations for population-level quantities in the station
132 und to produce background-specific reference equations for the predicted value and lower limit of nor
133 d solve the systems of ordinary differential equations for the two lower-order moments of the stochas
134 ogy/American Heart Association Pooled Cohort Equations (for fatal or non-fatal myocardial infarction
135 f mathematical models by way of differential equations, for example, reaction-diffusion equations.
136 ivariate longitudinal Generalized Estimating Equation (GEE) model, each 10 mg increase in prednisone
137 pecific analyses, and generalised estimating equations (GEE) for the global (ie, any) pathogen analys
138 e was conducted using generalized estimating equations (GEE) to examine the association of SCT with H
139 ted by the well-known generalized estimating equations (GEEs) for longitudinal data analysis, we focu
140 Application of an approximate van't Hoff equation gives the temperature dependence of Henry's con
142 are used to rigorously derive the continuum equations governing viscous, liquid-like granular flow.
146 For well over one century, the Hertz-Knudsen equation has established the relationship between therma
148 nostic information independent of the REVEAL equation, improving the C statistic from area under the
150 ration measurements and the phenomenological equation in this article, we provide a general and pract
152 an be recapitulated by specific mathematical equations in embryos and larvae and that accurate dentic
153 uster-adjusted Poisson generalised estimated equations in the intention-to-treat population after 58
154 ied by numerically solving the Navier-Stokes equations in the moving wall domain with our validated f
155 be described by a large hierarchical set of equations in the transient regime, we derive a reduced c
156 e static equilibrium state of Lotka-Volterra equations in which bacterial growth is exactly balanced
158 lgorithms included the decomposition of bulk equations into free- and bound-associated equations and
159 arameterized system of ordinary differential equations into regions for which the system has a unique
160 There was high interobserver agreement [(Equation is included in full-text article.)= 95.3%, (95%
161 ull-text article.)=97.5%) compared with 2D ((Equation is included in full-text article.)=54.5%) [diff
162 anastomosis more often with 3D ultrasound ((Equation is included in full-text article.)=97.5%) compa
164 roughly 2.5 mum, our generalization of this equation is shown to agree remarkably well with full-sca
165 nsforming solids, and the discrete governing equation is shown to approach the phase field equation c
168 egral of motion of the nonlinear Schrodinger equation, keeping this ratio constant is a key principle
169 yzed using univariable generalized estimated equations logistic regression models accounting for inte
171 s not superior to clinic BP, risk prediction equations may be useful for identifying the subgroup of
172 diameter (PM10), and generalized estimating equations methods adapted for low-prevalence exposure, w
173 rare diseases via the generalised estimating equation model in a modified intention-to-treat populati
174 minimal one-dimensional partial differential equation model that reproduced the range of observed mot
178 7 from 4 US communities), we used structural equation modeling to estimate the association between se
179 ectional data were analyzed using structural equation modeling to examine the associations among EAP,
180 used tree-ring isotopic data and structural equation modeling to examine the concurrent and interact
182 sed on mixed-effects modeling and structural equation modeling, low-intensity fire increased growing-
184 atios (i.e. effect size) and used structural equation modelling (SEM) to achieve a system-level under
188 ng and mammal abundances, and use structural equation modelling to compare competing trophic cascade
195 arch, genetic-relationship-matrix structural equation models included Cholesky decomposition, common
196 ally, genetic-relationship-matrix structural equation models present a framework for modeling shared
197 Multiple regression analyses and structural equation models were applied to determine the associatio
201 ioeconomic status and wealth, and structural equation models with maximum likelihood to test mediatio
202 entified in bivariate generalized estimating equation models, and maintained significance of P </= .1
206 ilds dynamic (based on ordinary differential equation) models, which can be used for mechanistic inte
210 HD approach includes correlations in the the equation of state self-consistently, satisfies sum rules
211 unctional theory and forces derived from the equations of Ehrenfest dynamics that depend instantaneou
216 rmal conductivity and LEOS for Au/Al release equation-of-state show good agreement with data after 15
219 s of individual trees and find that a single equation predicts stem diameter from these two variables
223 coupled with the fluctuating fluid momentum equation result in enhanced charge transport via a mecha
225 ere examined by using generalized estimating equations separately for CE spectral mammography and MR
226 ibution to derive acute and chronic criteria equations similar in form to the USEPA's current hardnes
227 etailed time-resolved mechanism, and kinetic equations solution for the ensemble long-time propagatio
228 ations, Monte Carlo simulations, and kinetic equations solution-as well as by structure-based binding
229 e subsequently developed and validated a GFR equation specifically for cirrhosis and compared the per
231 rium thermodynamics, combined with Maxwell's equations, suggest that colloidal particles heated or co
233 drug penetration by the 1D general diffusion equation that accounts for spatial variations in the dif
234 ing a 3-compartment model and an operational equation that included a k*4On 6 mornings, we completed
235 derived a novel form of the logistic growth equation that permits time-varying carrying capacity and
236 y functional theory based on spin projection equations that are exact within wave function theory.
242 used the logistic equation and the Gompertz equation to fit the growth predictive model of Cladospor
243 exity measure is based on applying Shannon's equation to the number and diversity of paths up to two
244 istic regression with generalized estimating equations to account for clustering by site was used to
245 g-binomial regression and General Estimating Equations to account for correlation within clusters.
246 is was performed using generalized estimated equations to adjust for clustering of implants per parti
247 n consisting of individual plants to develop equations to predict heading date from marker genotypes.
250 ommonly represented by a series of C balance equations to track C influxes into and effluxes out of i
254 ing kinematics, solve the full Navier-Stokes equations using computational fluid dynamics with overse
257 T above the threshold predicted by consensus equation was higher in the anaphylaxis group compared to
258 tion were developed, and the risk prediction equation was tested for its ability to discriminate pati
262 istic regression with generalized estimating equations was used to assess predictors of genital shedd
264 A biophysical equation (Augmented Growth Equation) was previously shown to accurately model the e
265 logy/American Heart Assocation pooled-cohort equations), we compared multivariable-adjusted hazard ra
269 Disease Epidemiology Collaboration (CKD-EPI) equations, we compared GFR estimated from creatinine (eG
271 risk factors and to build a risk prediction equation were developed, and the risk prediction equatio
276 gistic regression and generalized estimating equations were used to identify factors associated with
277 Linear models with generalized estimating equations were used to identify risk factors for BCVA lo
278 near mixed models and generalized estimating equations were used to model continuous and binary outco
281 y spectrum agree with the basic ion mobility equation when using nitrogen as drift gas and also agree
282 ty of the lactulose (according to Van't Hoff equation), which was 98% and the melting point peak occu
283 22 different classes of partial differential equation, which can include Allee kinetics and nonlinear
284 using an ecological application of the Price equation, which partitions the contributions of richness
285 n of epsilon-values is based on the Rayleigh equation, which relates the change in measured isotope r
288 near the threshold can be fitted by the Hill equation with a Hill coefficients of about -2.6 and 4.2,
289 as and also agree with a combination of this equation with Blanc's law when using purified air as dri
291 e traditionally described using an Arrhenius equation with energy barrier and pre-exponential factor
292 y of stochastic motion based on the Langevin equation with non-Wiener stochastic forcing that origina
293 thms can efficiently solve the Fokker-Planck equation with strongly non-Gaussian PDFs in much higher
295 dilute photonic crystal, based on Maxwell's equations with a spatially dependent two dimensional inh
296 of CVD was estimated using the Pooled Cohort Equations with estimates >/=7.5% defining high CVD risk.
297 e to each gene frequently lead to systems of equations with many parameters whose behavior is obscure
298 icients are consistent and the classical PNP equations with renormalized coefficients are recovered,
299 onary game theory model using Lotka-Volterra equations with three competing cancer "species": androge
300 n produced the least bias overall, no single equation worked well across subgroups of sex and race/et
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