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The rate-controlling steps were the diffusion for the initial stage in hydriding reaction and the surface penetration for dehydriding reaction.
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The diffusion coefficient for the initial sample length without 40% strain (Dx/0.6) is also shown for comparison.
In [18], Yamamoto considered the regularizing rates and analyticity for the drift-diffusion equation for the initial data in (L^{frac{n}{theta}}) ((1
At low water activities, Fickian diffusion was observed for the initial phase of the sorption process, while at high activities, due to the clustering of water, a complex sorption behavior was found.
To characterize the Li-ion diffusion kinetics, the initial EIS and that after 200 cycles were obtained.
But surprisingly, the transitions toward the dilute stages 2L, 3L, 4L, and 1L progress very fast and can even compensate for the initial diffusion limitations of the dense stage transitions during discharge.
The half-time calculated for the initial out-diffusion (4 minutes) roughly fits to that of in-diffusion through the chorion (20 minutes; a factor of 5 differing the values can be explained by the larger interior volume of dead embryos compared to that of the perivitelline space).
For a diffusion-controlled process, the initial rate of adsorption can be described by the following simple model Here dΓ/d t is the initial adsorption rate, D the diffusion coefficient, δ the thickness of the unstirred layer, estimated to 0.1 mm with the cuvette and the agitation rate used in this study,(38) and c the concentration of the component for which the adsorption rate is calculated.
A natural question is what the difference is between the solution with self-diffusion and without self-diffusion for the same big initial values.
As no diffusion rate constant (k diffusion ) for HEK293T was available, the initial value (k diffusion = 36 m∙min−1) was estimated using information from the literature and physics (See Additional file 1, Section 1.8 for details) and based on the transport properties of nuclear pore complexes for proteins [ 36, 45].
The rate constant for intraparticle diffusion Kp for initial concentrations of the metal ion is determined from the slope of the linear equation drawn between square root of time (t1/2) and the amount of adsorbate adsorbed (q).
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