In this study, new antimicrobial hydrogels were prepared via reaction of functionalized-tragacanthgum (TG) biopolymer by quaternary ammonium functionalization of TG (QTG) with acrylic acid(AA). Characterization of the QTG hydrogels (QTG-AA) was carried out by FTIR,thermogravimetric analysis (TGA), and 1H NMR. Dynamic mechanical analysis, (DMA) wasconducted to characteriz...

[1] Fickian models of diffusion often fail to describe transport phenomena in heterogeneous environments due to their inability to capture the sub-scale fluctuations. We present an effective description of non-Fickian behavior that reflects the dichotomy between the continuum nature of Fick’s law and the finite (effective) observation scale associated with experimental studies of transport phen...

Applications where the diffusive and advective time scales are of similar order give rise to advection– diffusion phenomena that are inconsistent with the predictions of parabolic Fickian diffusion models. Non-Fickian diffusion relations can capture these phenomena and remedy the paradox of infinite propagation speeds in Fickian models. In this work, we implement a modified, frame-invariant for...

In this paper, we prove the wellposedness of classical solutions for equation, deduced in [23]. It represents a reaction-diffusion model which spatial structure is maintained by means diffusive mechanism more general than Fickian diffusion. This generalized diffusion takes into account gradient (or energy) necessary to maintain pattern even single diffusing species.

We study diffusive transport of aqueous methane in sea sediments, which is important for formation of methane hydrate and gas deposits and has even been claimed to be principal methane transport mechanism for some geological systems. The isothermal diffusion law (Fick's law), D X = − ∇ J , which is employed in the literature for investigations on methane hydrate, is shown to significantly devia...

New antimicrobial hydrogels were prepared via reaction of functionalized-Tragacanth Gum biopolymer by glycidyltrimethylammonium chloride (QTG) with acrylamide (AM). Characterization of the QTG hydrogels with AM (QTG-AM) was carried out by thermogravimetric analysis (TGA), Fourier-transform infrared spectroscopy (FTIR), and 1HNMR. Swelling behaviour of the QTG hydrogels was investigated on the p...