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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  the integrated form of the Michaelis-Menten rate equation.
4 sis sample using a zero-intercept, K/V-based rate equation.
5  that combines material balances and kinetic rate equations.
6 he pseudo-first-order or pseudo-second-order rate equations.
7 r regression with numeric integration of the rate equations.
8 ically alter the reaction's Michaelis-Menten rate equations.
9 data were analyzed using the complete set of rate equations.
10 he excitonic reservoir described by a set of rate equations.
11 ons which is not captured by standard firing rate equations.
12 phase-phase (log-log) representations of the rate equations.
13  required to achieve analytical solutions of rate equations.
14 is method can also be used with steady-state rate equations.
15  is evaluated by a numerical solution of the rate equations.
16 tants, and (2) on the classical steady state rate equations.
17 which can be described by single-exponential rate equations, A(t) = A(o)(1- e (-kt)) and A(t) = A(o)e
18 for experimental verification and for use in rate equations accounting for nucleation-mediated fibril
19 servations with existing established kinetic rate equations allows the prediction of nanoparticle dis
20  synthesis are determined, and the resulting rate equation, along with a stereochemical analysis of t
21 elaxation dynamics to the underlying coupled rate equation and revealing that trap-state Auger recomb
22 nts (SmI2, amine, water) are involved in the rate equation and that the rate of electron transfer is
23  regression of the analytic integrals of the rate equations and by nonlinear regression with numeric
24 Fe, and Ru catalysts, which show similar FTS rate equations and cluster size effects.
25                                              Rate equations and elementary steps were similar for deh
26 ted by numerically integrating the nonlinear rate equations and performing linear stability analysis,
27 rate behavior, from those mechanisms derived rate equations, and then tested the mechanisms against o
28 ay/atom interactions using a straightforward rate equation approach augurs favourably for extension t
29 -state model reveals that the classic Huxley rate equation, as modified for thermodynamic self-consis
30  article is concerned with rapid-equilibrium rate equations, but this method can also be used with st
31                Then, combining hybridization rate equations, calculated free energies of hybridizatio
32 d from the polyamine spermine, whose complex rate equation can include terms for a variety of medium
33                                          Our rate equation combines Butler-Volmer (BV) electrode kine
34  kinetic problem and its reduction to simple rate equations; computation of binding rate constants; q
35 n and mRNA translation, based on first-order rate equations, coupled with a set of nonlinear equation
36 furcation analysis of deterministic reaction rate equations derived from the model, and find that the
37 homogeneous reconstructing surfaces leads to rate equations described by our nonlinear scaling law.
38                                            A rate equation describing the cellular starch degradation
39  model based on numerical integration of the rate equations describing the reaction mechanism.
40 ce long term rhythms that are independent of rate equations (e.g. Arrhenius).
41 eaction sequence, the numerator terms of the rate equation exert an effect in the paired flux control
42 con will be the most intense: one based on a rate equation for calculating ion flux using values from
43 ailed comparison with the traditionally used rate equation for covalent inhibition is presented.
44  before P(i) and validate utilization of the rate equation for ordered binding to interpret differenc
45 lowing a tractable algebraic solution to the rate equation for substrate hydrolysis.
46 , the corresponding Wilson-Cowan type firing rate equation for such an inhibitory population does not
47         This article describes an integrated rate equation for the time course of covalent enzyme inh
48 tal data, we derive a chemical mechanism and rate equations for a kinetic multilayer model of surface
49                          We have derived the rate equations for all likely sequential bireactant mech
50 ped, which enables the generation of generic rate equations for all reactions in a model.
51 r precursor conversion to monomers, discrete rate equations for formation of small-sized clusters, an
52             Using numerical solutions to the rate equations for nucleated polymerization and analytic
53 for the giant squid axon, we have determined rate equations for the activation and inactivation prope
54                               Complete axial rate equations for the alkenes and alkynes were derived,
55                                We solved the rate equations for the cascade numerically and found tha
56 ar strain, and use that in a coarse-graining rate equation formulation for constructing a mechanism m
57                          Mechanism-based FTS rate equations give activation energies that reflect the
58  numerical integration of mechanism-specific rate equations has been used to test specific kinetic mo
59                   We now integrate the tQSSA rate equation in closed form, without resorting to furth
60 kinetic parameters in the full-ordered bi bi rate equation in the absence of products, with both NADH
61 ow fitting based on numerical integration of rate equations, in the dynamic simulation rate constants
62 rell-Chance" mechanism yields a steady-state rate equation indistinguishable in form from the observe
63                      The overall form of the rate equation is unchanged: final rate = k(1f)[Hg][C-H(1
64                 An order-of-magnitude fusion rate equation is used to estimate whether the predicted
65 e ring-expansion pathway is described by the rate equation, log(k/s-1) = (12.5 +/- 0.1) - (4.9 +/- 0.
66                 An Eley-Rideal mechanism and rate equation may be used to describe the epoxidation ki
67 energy was extracted by the phenomenological rate-equation model we developed.
68 LIAD by fitting the experimental data with a rate-equation model, from which we extract a correct pre
69 vant for lasing, we observe breakdown of the rate-equation model, indicating a buildup of a highly co
70 ferent from the predictions of deterministic rate equation models.
71                      Here we investigate the rate equation of redox reactions involving reduction by
72 nological rate constants that enter into the rate equations of conventional chemical kinetics.
73 n approximation scheme for deriving reaction rate equations of genetic regulatory networks.
74 nd sizes of each molecular species, into the rate equations of the model.
75     The theory leads to a generalized Huxley rate equation on the bond-distribution function, n(zeta,
76                                              Rate equations on fibril disappearance are deduced from
77           Instead of using chemical reaction rate equations or rules-based fragmentation libraries, t
78  Mathematical modeling, based on biochemical rate equations, provides a rigorous and reliable tool fo
79 bromo-4-fluorobenzene displays the following rate equation: rate = k(obs)[R(3)SiOK](0)[ArylBr](0), wi
80 and a macroscopic description using reaction rate equations (RREs) is no longer accurate.
81           Mathematical properties of the new rate equation show that, for such contaminated materials
82                                              Rate equation slope coefficients for K/V of 0.39 (AV acc
83 ermined by numerical solution of the coupled rate equations that describe this competition to the exp
84                               In this study, rate equations that predict the regulatory kinetic behav
85 engineering approach to simplify the overall rate equation, thus allowing the accurate and quantitati
86                                      A novel rate equation to characterize the dose-response behavior
87                                 We develop a rate equation to describe the population dynamics within
88                          In the absence of a rate equation to explain the allosteric effects in a tet
89       In contrast, fitting the newly derived rate equation to inhibitor dose- response curves can, in
90 the photo-excited carrier dynamics and use a rate equation to relate radiative and non-radiative reco
91 ng with numerical integration of appropriate rate equations to analyze the progress curves, while the
92 py results are combined with mechanism-based rate equations to assess the structure and thermodynamic
93 a mathematical model using force balance and rate equations to describe how motors sliding the highly
94                   By generalizing nucleation rate equations to include dissolution, we arrive at a mo
95 ach proceeds via numerical solution of model rate equations to yield the time dependence of each micr
96 ent overall diffusion tensors, and a master (rate) equation to describe the transitions between these
97 n be applied to biological networks based on rate equations using a fitness function that quantifies
98 tion model behavior with that predicted by a rate equation version of the same system.
99                                          The rate equation was nu(N)=k(obs)[Tau](o)[nitrite](o)(2), t
100                             Using mean-field rate equations, we show that (i) when [HSPG] is much hig
101               The exchange curve is fit to a rate equation, where the rate constants are proportional
102 s is analyzed by solving a system of coupled rate equations, where exciton recycling mechanisms are i
103 nd solving a general linear mixed inhibition rate equation with a global curve fitting program.

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