In this thesis, we asymptotically construct steady-state localized spot solutions to the Brusselator reaction-diffusion system in the semi-strong interaction regime characterized by an asymptotically large diffusivity ratio. We consider two distinct settings: a periodic pattern of localized spots in R2 concentrating at lattice points of a Bravais lattice, and multi-spot solutions that concentra...

a b s t r a c t there are three types of nerve fibers that are involved in the transmission of pain stimuli: c fibers (slower fibers) for thermal, mechanical and chemical stimuli, a-delta fibers for thermal or mechanical stimuli and a-beta fibers for touch stimuli. clinically, this is crucial in making an accurate assessment of the pain level experienced by a suffering patient, in indicating th...

In this thesis, we asymptotically construct steady-state localized spot solutions to the Brusselator reaction-diffusion system in the semi-strong interaction regime characterized by an asymptotically large diffusivity ratio. We consider two distinct settings: a periodic pattern of localized spots in R2 concentrating at lattice points of a Bravais lattice, and multi-spot solutions that concentra...

In this paper, we develop a new adaptive scheme in which an optimal distance-based update threshold is selected not only as a function of the call-to-mobility ratio, but also as a transitional directivity index ω; a new parameter introduced to give some measures of the mobile’s traveling patterns. It is assumed that when ω > 1, the mobile has a greater tendency of roaming “outwards” and hence a...

We study the problem of geometric optimization of medium access control in multi-hop wireless network. We discuss the optimal placements of simultaneous transmitters in the network and our general framework allows us to evaluate the performance gains of highly managed medium access control schemes that would be required to implement these placements. In a wireless network consisting of randomly...

Snow cover area is one of the most important criteria to calculate snow melt runoff. This can have an effect on the biology of the plant and the environment of a region. Using the catchment basin physical characteristic to calculate snow cover area is a conventional method, though its accuracy is not good enough. Most of the useful methods in calculating snow cover area are based on satellite i...

Snow cover area is one of the most important criteria to calculate snow melt runoff. This can have an effect on the biology of the plant and the environment of a region. Using the catchment basin physical characteristic to calculate snow cover area is a conventional method, though its accuracy is not good enough. Most of the useful methods in calculating snow cover area are based on satellite i...

automatic road extraction from aerial images can be very helpful in traffic control and vehicle guidance systems. most of the road detection approaches are based on image segmentation algorithms. color-based segmentation is very sensitive to light changes and consequently the change of weather condition affects the recognition rate of road detection systems. in order to reduce the light change ...

we solve the coupled mode equations governing the chalcogenide nonlinear fiber bragg gratings (fbgs) numerically, and obtain the bistability characteristics. the characteristics of the chalcogenide nonlinear fbgs such as: switching threshold intensity, bistability interval, on-off switching ratio are studied. the effects of fbg length and its third order nonlinear refractive index on fbg charac...

ultrasound images suffer of multiplicative noise named speckle. different de-speckling algorithms run either in spatial domain or in transformed domain. in this paper, an adaptive filter in spatial domain according to assume the nakagami distribution as the statistic of log-compressed ultrasound images is used. for de-speckling in transformed domain, the non-sub sampled shearlet transform is us...