These models, viz., blood perfusion, countercurrent, thermal phase-lag, porous-media, perturbation, radiation, etc. have their corresponding strengths and limitations.
In an extended uniform media the perturbation will take the form of a travelling pulse.
The presented phantom has proven to be an adequate tool to acquire three dimensional sensitivity maps for a wide variety of optical properties of media and perturbations and of source/detector configurations.
Contrast media can cause perturbation of mitochondrial enzyme activity and mitochondrial membrane potential in proximal tubule cell line; in the more distal segments of the kidney, they can cause apoptosis [ 62].
This paper describes computationally efficient methods of solving the two-stream plane-parallel equation of radiative transfer in multi-layered media using adjoint perturbations in combination with selection rules.
We are interested in the numerical simulation of wave propagation in media which are a local perturbation of an infinite periodic one.
A nonlinear system of partial differential equations capable of describing the nonlinear propagation and attenuation of finite amplitude perturbations in thermoviscous media is presented.
And it is shown in [9] that the results can be applied to stochastic reaction-diffusion equations, Burgers-type equations, 2D Navier-Stokes equations, p-Laplace equations and porous media equations with locally monotone perturbations.
Thus our main result can be applied to various types of SPDEs such as stochastic reaction diffusion equations, stochastic Burgers type equation, stochastic 2-D Navier Stokes equation, stochastic p-Laplace equation and stochastic porous media equation with non-monotone perturbations.
To identify potential societal perturbations, we scanned media reports pertaining to the coverage area between January 2007 and January 2009 and developed a corpus of times and locations for eight societal, technological, and natural emergencies, ranging from bombings to a plane crash, earthquakes, floods and storms (Table 1).
However, researchers have largely relied upon static perturbations, such as growth media variations and gene knockouts, to elucidate gene network structure and function.
