My general research interests include image processing, numerical analysis, algebra, combinatorics, differential equations, neural networks, pattern recognition, and statistics. I have taken a multitude of courses at the graduate level in mathematics, applied mathematics, computer science and statistics. I am particularly interested in mathematical problems that are driven by applications. Beca...

Some simple lipid-water systems have been studied by x-ray scattering techniques, as a function of lipid concentration and temperature. Several liquid-crystalline phases have been found, and their structure has been determined: only one of these is lamellar. In all these phases the hydrocarbon part of the lipid molecules has a disordered, liquid-like structure. One biological phospholipid, a hu...

nanostructured zinc oxide (zno) materials have received considerable interest from scientists due to their remarkable performance in electronics, optics and photonics. zno nanoparticles were synthesized by co-precipitation method. zno nanoparticles were synthesized using zn(no3)3 and k2co3 precursors. the structure of the obtained product was confirmed by the powder x-ray diffraction (xrd) anal...

Synthesis protocols for colloidal nanocrystals (NCs) with narrow size and shape distributions are of particular interest for the successful implementation of these nanocrystals into devices. Moreover, the preparation of NCs with well-defined crystal phases is of key importance. In this work, we show that Sn(IV)-thiolate complexes formed in situ strongly influence the nucleation and growth rates...

The thermodynamics and kinetics of the self-assembly of cylinder-forming diblock copolymers directed by the lateral confinement of hexagons have been studied by the combination of self-consistent field theory (SCFT) calculation and time-dependent Ginzburg-Landau (TDGL) theory simulation. The SCFT calculations are used to determine the stability of candidate 2D and 3D equilibrium phases formed i...

During last decade, nanotechnology has gained a significant relevance in many areas of basic research and applied science. One of the great challenges in the field of nanotechnology is preparation of nanoparticles and nanostructures where new, not ordinary materials are used. In the present study, we observed self organizing structures prepared by the gas deposition method in N2 atmosphere. Gla...

The thin plate is a key structure in various musical instruments, including many percussion instruments and the soundboard of the piano, and also is the mechanism underlying electromechanical plate reverberation. As such, it is a suitable candidate for physical modelling approaches to audio effects and sound synthesis, such as finite difference methods—though great attention must be paid to the...

Wässle and colleagues first observed that the local structure of cell mosaics was approximately hexagonal1, as the histogram of the angular difference of all neighbors to a reference cell within some distance showed a mode at 60deg. Their analysis was based on the location of the cell bodies (not the receptive fields). However, the same conclusion holds true if one uses the actual centers of th...

Bacterial mobility is powered by rotation of helical flagellar filaments driven by rotary motors. Flagellin isolated from the Salmonella Typhimurium SJW1660 strain, which differs by a point mutation from the wild-type strain, assembles into straight filaments in which flagellin monomers are arranged in a left-handed helix. Using small-angle x-ray scattering and osmotic stress methods, we invest...