The rational design of immunoprotective hydrogel barriers for transplanting insulin-producing cells requires an understanding of protein diffusion within the hydrogel network and how alterations to the network structure affect protein diffusion. Hydrogels of varying crosslinking density were formed via the chain polymerization of dimethacrylated PEG macromers of varying molecular weight, and th...

Generalized (non-Markovian) diffusion equations with different memory kernels and subordination schemes based on random time change in the Brownian process are popular mathematical tools for description of a variety non-Fickian processes physics, biology, earth sciences. Some such (notably, fluid limits continuous walks) allow either kind description, but other ones do not. In present work we d...

This article investigates and compares the effects of hydrothermal aging on carbon fibre / Elium™ thermoplastic composite vinylester thermoset for marine application. Accelerated tests are performed by immersion in deionised water at 70 °C. Water diffusion, monitored regular weighing, shows that both composites as well resin exhibit non-Fickian behaviour. Analytical models proposed to fit exper...

Groundwater age distributions are used to estimate the parameters of Fickian, and non-Fickian, effective models of solute transport. Based on the similarities between the transport and age equations, we develop a deconvolution based approach that describes transport between two monitoring wells. We show that the proposed method gives exact estimates of the travel time distribution between two w...

The dissolution mechanism of rubbery polymers was analyzed by dividing the penetrant concentration field into three regimes that delineate three distinctly different transport processes. The solvent penetration into the rubbery polymer was assumed to be Fickian. The mode of mobility of the polymer chains was shown to undergo a change a t a critical penetrant concentration expressed as a change ...