Recent experiments have shown that the biological oscillation of quorum sensing (QS) system play a vital role not only in the process of bacterial synthesis but also in the treatment of cancer by releasing drugs. As known, these five substances TetR, CI, LacI, AiiA and AI are the core components of the QS system. However, the effects of AiiA and protein synthesis time delay on QS system are often ignored in the theoretical model, which is taken as a priority in the proposed research. Therefore, the authors developed a new mathematical model to explore the effects of AiiA and time delay on the dynamical behaviour of QS system theoretically and numerically. The results show that time delay can induce oscillation of QS system. Concretely, there exists a time delay threshold τ ₀ . When time delay is less than τ ₀ , the system is stable. With the increasing of time delay and once it passes τ ₀ , oscillation behaviour occurs. Moreover, the length of time delay determines the amplitude and period of the QS oscillation. In addition, the value of τ ₀ is sensitive to AiiA. These results may enhance the understanding of QS oscillations and provide new insights for bacterial release drugs to treat cancer.

中文翻译：

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群体感应网络中的生物振荡建模和分析。


最近的实验表明，群体感应（QS）系统的生物振荡不仅在细菌合成过程中发挥着至关重要的作用，而且在释放药物治疗癌症方面也发挥着至关重要的作用。众所周知，TetR、CI、LacI、AiiA、AI这五种物质是QS系统的核心组成部分。然而，AiiA和蛋白质合成时间延迟对QS系统的影响在理论模型中经常被忽略，这在本研究中被视为优先事项。因此，作者开发了一个新的数学模型，从理论上和数值上探讨 AiiA 和时间延迟对 QS 系统动态行为的影响。结果表明，时滞会引起QS系统的振荡。具体地，存在时间延迟阈值τ ₀ 。当时滞小于τ ₀时，系统稳定。随着延时的增加，一旦超过τ ₀ ，就会出现振荡行为。而且，延时的长短决定了QS振荡的幅度和周期。另外，τ ₀的值对AiiA敏感。这些结果可能会增强对 QS 振荡的理解，并为细菌释放药物治疗癌症提供新的见解。