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1 uter simulation of the complete steady state rate equation.
2 ate curves could be fitted to a second order rate equation.
3 responses are determined by a dynamic firing-rate equation.
4  the integrated form of the Michaelis-Menten rate equation.
5 sis sample using a zero-intercept, K/V-based rate equation.
6 tinine based estimated glomerular filtration rate equations.
7  is evaluated by a numerical solution of the rate equations.
8 tants, and (2) on the classical steady state rate equations.
9 r regression with numeric integration of the rate equations.
10 tected using estimated glomerular filtration rate equations.
11  that combines material balances and kinetic rate equations.
12 he excitonic reservoir described by a set of rate equations.
13 ons which is not captured by standard firing rate equations.
14 rk of the Deltag-based excitonic model using rate equations.
15 he pseudo-first-order or pseudo-second-order rate equations.
16 ically alter the reaction's Michaelis-Menten rate equations.
17 data were analyzed using the complete set of rate equations.
18 phase-phase (log-log) representations of the rate equations.
19  required to achieve analytical solutions of rate equations.
20 is method can also be used with steady-state rate equations.
21 eterminant of the Jacobian of the underlying rate equations, (2) minimization of the objective functi
22 which can be described by single-exponential rate equations, A(t) = A(o)(1- e (-kt)) and A(t) = A(o)e
23 for experimental verification and for use in rate equations accounting for nucleation-mediated fibril
24 servations with existing established kinetic rate equations allows the prediction of nanoparticle dis
25  synthesis are determined, and the resulting rate equation, along with a stereochemical analysis of t
26 elaxation dynamics to the underlying coupled rate equation and revealing that trap-state Auger recomb
27 nts (SmI2, amine, water) are involved in the rate equation and that the rate of electron transfer is
28  regression of the analytic integrals of the rate equations and by nonlinear regression with numeric
29 Fe, and Ru catalysts, which show similar FTS rate equations and cluster size effects.
30                                              Rate equations and elementary steps were similar for deh
31                                The retrieved rate equations and parameters can be used for scanning p
32 ted by numerically integrating the nonlinear rate equations and performing linear stability analysis,
33 rate behavior, from those mechanisms derived rate equations, and then tested the mechanisms against o
34 t, and thermal effects using a comprehensive rate equation approach and a temperature-dependent pulse
35                                          The rate equation approach and temperature-dependent pulsed-
36 ay/atom interactions using a straightforward rate equation approach augurs favourably for extension t
37 erforms both a classical Kalman filter and a rate equation approach when applied to patch-clamp data
38  found that our approach, in contrast to the rate equation approach, yields a realistic uncertainty q
39  time resolution of fluorescence data than a rate equation approach.
40 sets, it identifies more parameters than the rate equation approach.
41                Kinetic glomerular filtration rate equations are not accurate enough for glomerular fi
42 -state model reveals that the classic Huxley rate equation, as modified for thermodynamic self-consis
43 hereas the joint-space method used metabolic rate equations based on joint parameters.
44  article is concerned with rapid-equilibrium rate equations, but this method can also be used with st
45                Then, combining hybridization rate equations, calculated free energies of hybridizatio
46 d from the polyamine spermine, whose complex rate equation can include terms for a variety of medium
47                                          Our rate equation combines Butler-Volmer (BV) electrode kine
48  kinetic problem and its reduction to simple rate equations; computation of binding rate constants; q
49 ound state is best described by second-order rate equations, consistent with the expectation for comp
50 n and mRNA translation, based on first-order rate equations, coupled with a set of nonlinear equation
51 furcation analysis of deterministic reaction rate equations derived from the model, and find that the
52 homogeneous reconstructing surfaces leads to rate equations described by our nonlinear scaling law.
53                                            A rate equation describing the cellular starch degradation
54 ity (e.g. a protein or drug) to retrieve the rate equations describing it; the associated parameter v
55  model based on numerical integration of the rate equations describing the reaction mechanism.
56 i levels) by invoking a full solution to the rate equations describing transitions across the band ga
57    All known estimated glomerular filtration rate equations displayed high biases and unacceptable er
58 ce long term rhythms that are independent of rate equations (e.g. Arrhenius).
59 eaction sequence, the numerator terms of the rate equation exert an effect in the paired flux control
60 con will be the most intense: one based on a rate equation for calculating ion flux using values from
61 ailed comparison with the traditionally used rate equation for covalent inhibition is presented.
62  before P(i) and validate utilization of the rate equation for ordered binding to interpret differenc
63 lowing a tractable algebraic solution to the rate equation for substrate hydrolysis.
64 , the corresponding Wilson-Cowan type firing rate equation for such an inhibitory population does not
65         This article describes an integrated rate equation for the time course of covalent enzyme inh
66 tal data, we derive a chemical mechanism and rate equations for a kinetic multilayer model of surface
67                          We have derived the rate equations for all likely sequential bireactant mech
68 ped, which enables the generation of generic rate equations for all reactions in a model.
69 r precursor conversion to monomers, discrete rate equations for formation of small-sized clusters, an
70             Using numerical solutions to the rate equations for nucleated polymerization and analytic
71 rations have been used in the formulation of rate equations for simple bimolecular and monomolecular
72 for the giant squid axon, we have determined rate equations for the activation and inactivation prope
73                               Complete axial rate equations for the alkenes and alkynes were derived,
74                                We solved the rate equations for the cascade numerically and found tha
75 ar strain, and use that in a coarse-graining rate equation formulation for constructing a mechanism m
76                          Mechanism-based FTS rate equations give activation energies that reflect the
77  numerical integration of mechanism-specific rate equations has been used to test specific kinetic mo
78                   We now integrate the tQSSA rate equation in closed form, without resorting to furth
79 kinetic parameters in the full-ordered bi bi rate equation in the absence of products, with both NADH
80 ow fitting based on numerical integration of rate equations, in the dynamic simulation rate constants
81 e of race in estimated glomerular filtration rate equations, including its relationship with structur
82 rell-Chance" mechanism yields a steady-state rate equation indistinguishable in form from the observe
83                      The overall form of the rate equation is unchanged: final rate = k(1f)[Hg][C-H(1
84                 An order-of-magnitude fusion rate equation is used to estimate whether the predicted
85 tegration concentrations versus time of such rate equations led to a realistic description of the sys
86 e ring-expansion pathway is described by the rate equation, log(k/s-1) = (12.5 +/- 0.1) - (4.9 +/- 0.
87                 An Eley-Rideal mechanism and rate equation may be used to describe the epoxidation ki
88                                A three-level rate equation model is proposed to describe the photogen
89 ctivity and excitation measurements, using a rate equation model.
90                                      Using a rate-equation model for the time-dependent absorbance ch
91        These features can be reproduced by a rate-equation model only if it accounts for both the vib
92 energy was extracted by the phenomenological rate-equation model we developed.
93 LIAD by fitting the experimental data with a rate-equation model, from which we extract a correct pre
94 vant for lasing, we observe breakdown of the rate-equation model, indicating a buildup of a highly co
95 stributions of excited-state carriers with a rate-equation model, we distinguish these two types of i
96                          We present a simple rate-equations model, which well reproduces the observed
97                                              Rate equation modeling confirms that a continuous distri
98 g of Ln(3+) ion combinations by differential rate equation modeling identifies Ho(3+)/Tm(3+) or Tm(3+
99 xperimental and computational analysis shows rate equation models are able to predict compositions fo
100 ferent from the predictions of deterministic rate equation models.
101                      Here we investigate the rate equation of redox reactions involving reduction by
102 nological rate constants that enter into the rate equations of conventional chemical kinetics.
103 n approximation scheme for deriving reaction rate equations of genetic regulatory networks.
104 nd sizes of each molecular species, into the rate equations of the model.
105     The theory leads to a generalized Huxley rate equation on the bond-distribution function, n(zeta,
106                                              Rate equations on fibril disappearance are deduced from
107           Instead of using chemical reaction rate equations or rules-based fragmentation libraries, t
108 chastic differential equation), and reaction rate equation (ordinary differential equation) represent
109 cal kinetic model conformed to the following rate equation over a one hundred-fold range of acrylamid
110                               We analyze the rate equation predictions using simple scaling estimates
111  Mathematical modeling, based on biochemical rate equations, provides a rigorous and reliable tool fo
112 bromo-4-fluorobenzene displays the following rate equation: rate = k(obs)[R(3)SiOK](0)[ArylBr](0), wi
113 and a macroscopic description using reaction rate equations (RREs) is no longer accurate.
114           Mathematical properties of the new rate equation show that, for such contaminated materials
115 curately prescribed by the mechanism-derived rate equations, similar in functional form on Ru, Co, an
116                                              Rate equation slope coefficients for K/V of 0.39 (AV acc
117 ermined by numerical solution of the coupled rate equations that describe this competition to the exp
118                               In this study, rate equations that predict the regulatory kinetic behav
119 engineering approach to simplify the overall rate equation, thus allowing the accurate and quantitati
120                                      A novel rate equation to characterize the dose-response behavior
121                                 We develop a rate equation to describe the population dynamics within
122                          In the absence of a rate equation to explain the allosteric effects in a tet
123       In contrast, fitting the newly derived rate equation to inhibitor dose- response curves can, in
124 the photo-excited carrier dynamics and use a rate equation to relate radiative and non-radiative reco
125 ng with numerical integration of appropriate rate equations to analyze the progress curves, while the
126 py results are combined with mechanism-based rate equations to assess the structure and thermodynamic
127 a mathematical model using force balance and rate equations to describe how motors sliding the highly
128 should not use kinetic glomerular filtration rate equations to estimate glomerular filtration rate in
129                   By generalizing nucleation rate equations to include dissolution, we arrive at a mo
130 ach proceeds via numerical solution of model rate equations to yield the time dependence of each micr
131 ent overall diffusion tensors, and a master (rate) equation to describe the transitions between these
132 ns and particle-morphology-dependent kinetic rate equations under full consideration of the aqueous p
133 n be applied to biological networks based on rate equations using a fitness function that quantifies
134 tion model behavior with that predicted by a rate equation version of the same system.
135                                          The rate equation was nu(N)=k(obs)[Tau](o)[nitrite](o)(2), t
136                             Using mean-field rate equations, we show that (i) when [HSPG] is much hig
137               The exchange curve is fit to a rate equation, where the rate constants are proportional
138 s is analyzed by solving a system of coupled rate equations, where exciton recycling mechanisms are i
139 ctromyography data and used muscle metabolic rate equations, whereas the joint-space method used meta
140 nd solving a general linear mixed inhibition rate equation with a global curve fitting program.

 
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