Magnetic Resonance Imaging (MRI) exams suffer from undesirable structure replicating and overlapping effects on certain acquisition settings. These are called Spatial Aliasing Artefacts (SAA) and their presence interferes with the segmentation of other anatomical structures. This paper addresses the segmentation of the SAA in T1-weighted MRI image sets, in order to effectively remove their infl...

New charged solutions describing black holes with squashed horizons in 5D dilaton gravity are presented. The black hole spacetimes are asymptotically locally flat and have a spacial infinity R× S →֒ S. The solutions are analyzed and their thermodynamics is discussed by using the counterterm method.

We give some necessary conditions for local and global existence of a solution to reaction-diffusion system of type (FDS) with temporal and spacial fractional derivatives. As in the case of single equation of type (STFE) studied by M. Kirane et al. (2005), we prove that these conditions depend on the behavior of initial conditions for large |x|.

This article concerns the asymptotic behavior of solutions to the Cauchy problem of a degenerate quasilinear parabolic equations with a gradient term. A blow-up theorem of Fujita type is established and the critical Fujita exponent is formulated by the spacial dimension and the behavior of the coefficient of the gradient term at ∞.

Volumetric light transport effects are significant for many materials like skin, smoke, clouds or water. In particular, one must consider the multiple scattering of light within the volume. Recently, we presented a path integral-based approach to this problem which identifies the most probable path light takes in the medium and approximates energy transport over all paths by only those surround...

Appel's algorithm for eeciently performing pairwise potential energy calculations is analyzed with regard to both computing time required and error incurred. Four factors are identiied which determine the practical value of Appel's method: the total number of particles in the system, the tolerance for error in the calculations, the complexity of the pairwise energy calculation, and the spacial ...

We consider a predator-prey model, where some prey are completely free from predation within temporal or spacial refuge and the predator population is subject to Allee effect. study effect of presence on stability bifurcation system. investigate existence model as well region. also obtain invariant manifolds

If the Navier-Stokes equations are averaged with a local, spacial convolution type filter, φ = gδ ∗ φ , the resulting system is not closed due to the filtered nonlinear term uu. An approximate deconvolution operator D is a bounded linear operator which satisfies