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Carboxytherapy is a promising treatment modality with multidirectional effects on the skin; yet, its impact on hydration and viscoelasticity in the delicate periorbital area requires further exploration. This study aimed to evaluate the effects of carboxytherapy as monotherapy and in combination with selected acids on the hydration and viscoelasticity of the skin around the eyes. Thirty-nine participants underwent five weekly treatments, with carboxytherapy applied to the right eye area and carboxytherapy combined with acids (ferulic acid 14% with L-ascorbic acid 12% or lactobionic acid 20%) administered to the left eye area. Skin hydration and viscoelasticity were measured using Corneometer and Cutometer probes, respectively. Statistically significant improvements (p < 0.0001) in viscoelasticity were observed in both treated areas. The combination of carboxytherapy with lactobionic acid led to a modest but statistically insignificant increase in skin hydration. These findings indicate that carboxytherapy, particularly in combination with tested acids, is effective for improving skin viscoelasticity. While its effect on hydration is more pronounced in dry skin, the therapy significantly enhances skin elasticity, supporting its use as a preventative and corrective treatment for age-related changes, including progressive loss of skin density and firmness.

The following article proposes a modern computer application MOT (Membrane Optimization Tool) for modeling of gas transport processes through mixed-matrix membranes (MMMs). The current version of the application is based on the Maxwell model, which can be successfully used to model gas transport through the simplest types of hybrid membranes without any defects. The application has been verified on the example of four types of hybrid membranes, consisting of various types of polymer matrix, such as: poly (vinyl acetate), 2, 2′-BAPB + BPADA, Ultem, hyperbranched polyimide (ODPA-MTA) and zeolite 4A. The average absolute relative error (AARE) and root-mean-square error (RMSE) were calculated in order to compare the theoretical MOT-predicted results with the experimental results. It was found that the AARE ranges from 29% to 36%, while the RMSE is in the range of 10% to 29%. The article presents also the comparison of MOT-predicted data obtained with Maxwell and Bruggeman models. To obtain more accurate reproduction of experimental results, further versions of the proposed application will be extended with next-generation permeation models (Lewis–Nielsen, Pal, modified Maxwell or Felske models), allowing for the description of transport in more complex systems with the possibility of taking into account possible defects.