Sentence examples for spatial perturbation from inspiring English sources

Since the source function depends on time and space, these are the only quantities that suffer from noise and are modeled in the following: The temporal noise models the perturbation of a source's life span by an additional term in (6), while this is not possible for the spatial perturbation.

A set of initial conditions should naturally reflect plausible spatial perturbations of the homogeneous steady state of the cortex.

Spatial perturbations from the constant value reflect the local effects of wave propagation, including local triggered events.

The stability to spatial perturbations of the form exp ikx1), where k is the wavenumber and x1 is the coordinate along which the interface is studied.

The stability to spatial perturbations of the form exp ikx1), where k is the wavenumber and x1 is the coordinate along the interface is studied.

A Turing instability (diffusion-driven instability) arises when a homogeneous steady state solution of the reaction system of the form (2.1) is linearly stable to some perturbations in the absence of the diffusion terms ((D_{u}, D_{v})) but linearly unstable in the presence of diffusion to small spatial perturbations.

Analysis of the paracrine communication benefit in our novel quantitative wound response assay with defined spatial perturbations demonstrates that paracrine communication increased cellular response fidelity, but with limitations.

The temporal and spatial perturbations of β-catenin following application of the Wnt pathway activator (Wnt3A ligand) or an inhibitor of protein biosynthesis (cycloheximide) were examined quantitatively.

However an important difference between our work and that of Marciniak-Czochra and Kimmel is that we also use lambda-omega analysis to investigate the stability of time-periodic model solutions to spatial perturbations.

A more advanced and automated registration procedure is available in Abdelmoula et al. Since the registration needs to account for cutting artifacts, tissue deformations due to extraction and freezing of the brain, and other spatial perturbations, nonrigid registration techniques play a central role here.

The last two models are based on linear stability analysis employing the Orr-Sommerfeld equation to determine the amplification of spatial flow perturbations.