It has not been possible to measure diffusion deep in solid tissues such as tumors because of the limited light penetration of conventional optical techniques. Here we report a microfiberoptic ...

The study of pattern formation in reaction-diffusion systems and convection dynamics has opened new avenues for understanding how complex spatial structures arise from relatively simple underlying ...

(Nanowerk Spotlight) Plasmonic 'nanotweezers' are structures made of noble metals that concentrate and absorb light, resulting in 'plasmonic hotspots' that make it possible to manipulate nanoscale ...

We propose a discontinuous Galerkin method for fractional convection-diffusion equations with a superdiffusion operator of order α(1 < α < 2) defined through the fractional Laplacian. The fractional ...

Some least-squares mixed finite element methods for convection-diffusion problems, steady or nonstationary, are formulated, and convergence of these schemes is ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Taylor Dispersion Analysis (TDA), or Taylor-Aris dispersion, is a technique for rapidly determining the diffusion coefficients of molecules. From the diffusion coefficient values, hydrodynamic radii ...

(Nanowerk News) Researchers looking to isolate individual proteins from complex environments usually turn to chromatography, a technique where mobile solutions of biomolecules flow through columns ...