Sentence examples for function diffusion from inspiring English sources

We refer to volume 2 of [24] for the conventional approach to kinetic theory which consists of deriving the deterministic partial differential equations for the polymer configurational distribution function (diffusion equation) and to volume 1 of [24] for the existing linear and nonlinear viscoelastic models.

Diffusion processes X defined by the following stochastic differential equation are considered in this article: begin{aligned}& dX_{t}=mu (X_{t}),dt+sigma (X_{t}),dB_{t}, end{aligned} (1) where ({B_{t}, tge 0}) is a standard Brownian motion, (mu (cdot)) is an unknown measurable function (drift function) and (sigma ( cdot)) is an unknown positive function (diffusion function).

Careful assessment of pulmonary function, diffusion capacity, and a quantitative ventilation scan would be necessary.

As we have shown, the details of the benefit function, diffusion range, cost of production, and update rule that drive the dynamics of growth factor production are critical to determine the type of dynamics and equilibria.

These properties mediate the processes that support Turing patterning formation, such as production (through specific regulatory functions), diffusion, and degradation.

In this paper, chirped diffusion-sensitizing gradients are proposed and analytically shown to yield an efficient sampling of q-space in a manner that asymptotically approaches that using delta-function diffusion-sensitizing gradient.

In this paper, new variable bandwidth nonparametric robust estimators for the drift function and diffusion function of diffusion processes based on discrete-time observations are devised.

The method of robust approach is applied to estimate drift function and diffusion function of diffusion processes with discrete-time observations.

Here we investigated language function and diffusion metrics (using diffusion-weighted tractography) within the arcuate fasciculus, the uncinate fasciculus, and the corpus callosum in 32 young people after TBI (approximately half with dysarthria) and age-matched healthy controls (n = 17).

Several OMPs function as diffusion pores.

Power function, parabolic diffusion and first order equations also well fitted the time-dependent P release data.