diffusion

This study examines the kinetic profiles of lidocaine hydrochloride, novocaine hydrochloride, and diclofenac sodium release from gelatin–alginate hydrogels crosslinked with poly(ethylene glycol) diglycidyl ether. Drug release was evaluated in phosphate-buffered saline (PBS) and in PBS supplemented with a proteolytic enzyme using a Franz diffusion cell. The experimental data were fitted to zero-order and first-order kinetic models, as well as the Higuchi, Hixson–Crowell, and Korsmeyer–Peppas models.

In the digital age, video information has taken a leading place among data types in terms of volume and significance. Large amounts of visual data are created daily using video cameras, mobile gadgets, drones and network services, and a significant part of this content may contain personal or confidential information. Although traditional full encryption of the video stream guarantees a high level of protection, it is accompanied by a number of disadvantages: high load on computing resources, delays during data transmission and difficulties in implementing real-time processing.

This study aimed to develop a mathematical model of ion transport in a system featuring a free electrolyte with membrane barriers and to investigate the interaction between diffusion and migration flows in different parts of the channel. The article presents the results of numerical modelling of the wastewater treatment process for copper ions using the electrodialysis method. Electrodialysis is a promising technology for removing dissolved ions from aqueous media due to its high efficiency, environmental safety, and the possibility of regenerating valuable components.

The sorption capacity of polymer blends was analyzed on the basis of absorption kinetics. The study was carried out in an adsorption-active medium with different degrees of deformation. Heptane and butanol were used as adsorption-active media. The influence of the chemical nature of the adsorbate on the sorption process was studied. The free volume fractions for each sample of the composition were calculated. The ability of materials to absorb different amounts of substances allows us to identify the behavior peculiarities of the interfacial regions of different chemical compositions.

This article presents the results of studies of the structure of the emulsion formed in the wastewater of edible oil production. The process of refining edible oils produces stable emulsions that are released into wastewater and pose a threat to the hydrosphere.  The main pollutants in these wastewaters are organic substances, mainly of a fatty nature, which existing wastewater treatment plants are unable to treat to the level of sanitary requirements. This creates a significant environmental problem as it causes pollution of surface waters with organic substances.

Modeling of the impurity diffusion process in a layer under the action of a system of random point sources is carried out.  Mass sources of different power are uniformly distributed in a certain internal interval, that may also coincide with the entire region of the layer.  The statistics of random sources is given.  The solution of the initial-boundary value problem is found as the sum of the homogeneous problem solution and the convolution of the Green's function with the system of the random point sources.  Averaging of the solution is performed on the internal subinterval and in the ent