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Using the linear diffusion coefficient ε x as a measure for the scattering strength of a material x as suggested by Bech et al. (Bech et al., 2010), we obtain the definition H U s x = 1000 ⋅ ε x − ε 0 ε Control − ε 0, where ε 0 is the linear diffusion coefficient of a non-scattering area, so ideally equal to 0, and εControl describes healthy lung tissue.
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Here, a system of Itô stochastic differential equations with linear diffusion coefficients that is based on a deterministic model of multistage cell lineages is investigated.
Subsequent studies (Mourenas et al. 2013) developed a simplified formula to calculate the quasi-linear diffusion coefficients of radiation belt electrons by magnetosonic waves.
An improved global fit to the data was achieved through applying a unique technique utilizing the Fokker-Plank equation with a non-linear rigidity-dependent diffusion coefficient.
The linear log-log relationships between trans-bilayer permeability and the partition coefficients for more-diverse chemicals were augmented by molecular weight as another linear term, because the diffusion coefficient is inversely related to molecular weight.
As the shear rate scales with Q for the laminar flow conditions realized in microvasculature, the collision mechanism could also explain the linear scaling of the diffusion coefficient with Q observed in our constant-flow experiments.
We prove existence and uniqueness of the solution of a white noise driven parabolic SPDE, in case the drift is measurable and satisfies a "one sided linear growth condition," and the diffusion coefficient is nondegenerate, has a locally Lipschitz derivative, and satisfies a linear growth condition.
Indeed, particle tracking experiments by Goldsmith and Marlow [ 23] revealed diffusive erythrocyte dynamics in the direction perpendicular to the flow, with a diffusion coefficient approximately linear in the average shear rate.
The significant linear decrease of the chemical diffusion coefficient DLivs.
The Pearson diffusions is a class of diffusions defined by linear drift and quadratic squared diffusion coefficient.
(B ) Mean square displacement plot fitted with a linear model to extract the diffusion coefficient by MSDanalyzor.
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