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.

中文翻译：

---

Ag/PET中空纤维释放银离子：数学模型及其在食品包装中的应用

食品包装系统需要具有高透气性的抗菌环境，以绝对保证食品安全和长期可靠的耐用性。含有银离子的中空纤维膜是达到此目的的最佳选择。然而，安全可控的释放过程已成为实际应用中的紧迫问题。在这里，我们使用捕食者-猎物模型来预测从中空纤维中释放的银离子的抗菌活性，并将金黄色葡萄球菌应用于抗菌实验。理论和实验结果均表明存在最佳银离子浓度和最佳释放时间。本文为使用中空纤维膜的新型食品包装系统的设计提供了亮点。