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 ...

Based on the study of blow up of a particular system of ordinary differential equations, we give a sufficient condition for blow up of positive mild solutions to the Cauchy problem of a fractional ...

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 ...

Heat and mass ransfer by heat conduction, diffusion, and convection. (Linear phenomena only; heat transfer by radiation, natural convection, and mass transfer in concentrated solutions are not ...

A mounting wave of recent research argues that high-volume hemodiafiltration, or Hv-HDF, may significantly improve outcomes for people with kidney failure compared to standard hemodialysis treatments.

Haemodiafiltration, a technique that combines the methods of haemodialysis and haemodiafiltration, has been suggested in previous studies to potentially reduce mortality risk in patients requiring ...