Sentence examples for using the diffusion approximation from inspiring English sources

Finally, by using the diffusion approximation, the Rosseland mean extinction coefficients and radiative thermal conductivities were obtained for various temperatures.

We illustrate this by using the diffusion approximation to explore the effects of noise on neural pattern formation in a spatially structured network.

Our estimates are also in broad agreement with previously reported values using the diffusion approximation in demographic inference.

We present a new method for extracting the effective attenuation coefficient and the diffusion coefficient from relative spectrally resolved cw radiance measurements using the diffusion approximation.

Briefly, we evaluated the ability to extract μ eff and D for Intralipid-1% (450 950 nm range) using the diffusion approximation from both experimental and simulated distance-dependent radiance data sets.

Examples of forward models include analytical models using the diffusion approximation to solve the radiative transport equation [ 8– 14], numerical models based on Monte Carlo (MC) simulations [ 15– 20] and empirical models [ 5, 21].

When deterministic and stochastic processes are combined in the same model it is common to use the "diffusion approximation" – essentially assuming that populations are large (so that evolution can be approximated as a continuous process), that population size is relatively stable, and that selection is weak [ 1- 4].

This study used the diffusion approximation [ 4] to simulate light transport from the illumination fiber to the detection fiber.

We use the diffusion approximation of the radiative transfer equation to model the steady state of light propagation in a scattering medium [ 18].

These analyses use the diffusion approximation, which requires that the difference between the mean fertilities of the resident and mutant phenotypes tend to zero as the population size tends to infinity, i.e., that d ln μ f zf)/ dzf ∼ O(1/ N).

Next, the type of the diffusion process that could be occurring at the Pt/NiNP electrode was interrogated by using the "diffusion domain approximation" theory developed by Davies and Compton [30, 31] which can also be applied to a three-dimensional electrochemically heterogeneous electrode [32].