Silver ion release from Ag/PET hollow fibers: Mathematical model and its application to food packing

Abstract

A food packing system requires an antimicrobial environment with high air permeability to guarantee absolutely both food safety and long and reliable durability. A hollow fiber membrane containing silver ions is the best candidate for this purpose. However, a safe and controllable release process has become a pressing issue in the practical application. Here, we use the predator–prey model to predict the antimicrobial activity of silver ions released from a hollow fiber, and Staphylococcus aureus was applied to the antibacterial experiment. Both theoretical and experimental results show that there are an optimal concentration of the silver ions and an optimal release time. This article sheds a bright light on the design of a new kind of food packing systems using the hollow fiber membrane.

A mini-review on release oscillation in a hollow fiber

“…This paper focuses on artificial hollow fibers containing silver particles [14,15], with an emphasis on the release oscillation [16][17][18].…”

A fractal approach to the diffusion process of red ink in a saline water

“…Farahbod [2] established a mathematical model for diffusion and decomposition of pollutants, he found that the wave depletion plays an important role at the initial --------------stage. Lin et al [3][4][5][6] suggested a fractal diffusion oscillation for release of ions from a hollow fiber. Some researchers established a fractal differential models for diffusion-reaction processes.…”

A heuristic review on the homotopy perturbation method for non-conservative oscillators

“…The low frequency is also widely used in energy harvesting devices. [2][3][4] Additionally, many phenomena can be fully explained by the vibration theory; for example, the release oscillation [5][6][7][8][9] is the main factor affecting the ion release from a hollow fiber, while the thermal oscillation endows a cocoon with a particular bio-function. 10 The instability of a system also caught much attention to avoid any damage.…”