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Here, T is the temperature; c – the heating rate; ρ – the density; F' – the density function than depends on n; K-the numerical constant – γ the surface energy; Ω – the atomic volume; D – the diffusion coefficient, k – the Boltzmann constant, a – the particle radius; parameters n and p are the order depending on diffusion mechanism, Q – the activation energy and R – the gas constant.
ΔL = (L 0−L) is the change in length of the specimen; K, the numerical constant; Ω, the atomic volume; D, the diffusion coefficient; γ, the surface energy; t, the time; T, the temperature; k, the Boltzmann constant; a, the particle radius; and parameters n and p, the order depending on diffusion mechanism.
The average interaction time was measured for different regimes in different simulations, and for the oligomer regime was shown to be up to 4 times greater than the monomer or dimer regimes, depending on diffusion conditions, receptor concentration and the rates of receptor dimerization and monomerization (Supplementary Figure S2).
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The importance of CK-facilitated high-energy phosphate transport depends on diffusion path length and diffusivity of ATP and ADP in cardiomyocytes [ 7].
Creep fracture, too, depends on diffusion.
The governing coupled equations are solved under the assumption that the nutrient delivery to the scaffold is purely depends on diffusion.
The predictions depend on diffusion and dissolution proceeding in parallel, and so represent an extension of earlier analyses where diffusion and reaction occurred sequentially.
The mathematical expression for the admittance response of a finite fractal electrode depends on diffusion length (√D/ω), charge transfer resistance (RCT) and its fractal morphological characteristics.
Uptake of chemicals by algae and aquatic plants depends on diffusion from water through plant (or cell) surface or from sediment pore water through the surface of the root.
This is because they reduce the viscosity of heavy crude oil and bitumen by several orders of magnitude rapidly, in contrast to non-thermal methods in which the mode of viscosity reduction is quite slow as they depend on diffusion and dispersion to spread the fluids.
Growth of avascular tumor spheroids depends on diffusion of nutrients and waste products, usually limiting the spheroid's maximum size, as discussed in [1].
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