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Instead, we suggest that one should use a mean first passage time expression derived from a master equation, and show how this approach can be used to glean information about the underlying dynamics of barrier crossing.
Based on a review of published work on the WGS reaction mechanism, our study found that a rate expression derived from a regenerative mechanism and another rate expression derived from adsorptive mechanism fit the experimental data equally well.
We report here that NT-PGC-1 α-a mRNA expression derived from a canonical exon 1 (exon 1a) is increased by high-intensity exercise and AMPK activator AICAR in mouse skeletal muscle but not altered by low- and medium-intensity exercise and β2-adrenergic receptor agonist clenbuterol.
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Conversely, in populations 1, 2 and 3, the higher baseline IGF2 expression level could be explained by bi-allelic expression derived from an almost un-methylated status on both alleles at the sixth CTCF binding site.
The use of concepts and expressions derived from a 1D analytic model helped to reduce the number of computational fluid dynamics simulations needed to find the optimal configuration.
To simplify the design process for the power plant engineers, the controller parameters are calculated using expressions derived from a two-loop standard excitation system model in terms of performance indexes: phase margin, damping ratio, overshoot, and settling time.
Furthermore, a Coffin Manson type of expression (derived from the results of a set of 12 smooth specimens) is used to predict the number of cycles to fatigue crack initiation.
It has been observed that the integrated form of this rate law fits fairly well the experimental data obtained with a model compound and solar energy, and that an expression derived from this rate can be used for an approximate scaling-up of a solar catalytic wastewater treatment plant.
An expression derived from the properties of a static Gaussian chain can minimize the number of parameters necessarily to describe the solid-like, networked proton population to a single independent parameter, the average RDC, Davg.
This gives a simpler expression for the Taylor expansion, A useful expression derived from this is, (A.2) Note that the terms containing (1−2φ) disappear when φ = 1/2 (equal number of cases and controls), meaning that these approximations are particularly good in that case e.g.g
The reproduction number can be derived by substituting the estimate for "r" into an expression derived from the linearization of the classical Susceptible-Exposed-Infectious-Recovered (SEIR) transmission model [ 41, 42]: (1) R=(1+ r b 1 )(1 + r b 2 ) where 1/b1 and 1/b2 are respectively the mean latent and infectious periods which are assumed to be exponentially distributed.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com