Oscillation expression of NF- [Formula: see text] signaling system can lead to nuclear NF- [Formula: see text] accumulation which involving various important cellular processes including immune response, inflammation and cancer development. Negative feedback circuits involved in NF- [Formula: see text] signaling system are generally believed to be responsible for the oscillation expression. In view of feedback loops involving time delays resulting from transcription, transcript splicing and processing, and protein synthesis, in this paper, a mathematical model with time delay to describe the core negative feedback circuits centered on NF- [Formula: see text] including [Formula: see text] and A20 -like proteins is developed. Here, the time delay refer to the time demand of transcription and translation process of [Formula: see text]. First, the results suggest that time delay can drive oscillation dynamics of NF- [Formula: see text] signaling system. Concretely, there exists a critical value of time delay. When the time delay exceeds the critical value, the system exhibits oscillation dynamics, and with the increase of time delay, the amplitude and period increase accordingly. Second, analysis indicate that A20 -like proteins are able to change the amplitude and period of the nuclear NF- [Formula: see text] oscillations. In addition, the effects of several important parameters on the nuclear NF- [Formula: see text] oscillations are also discussed. Finally, a prediction is formed, which is shortening time delay, repairing and maintaining the function of A20 -like proteins, and increasing [Formula: see text] transcription rate may be new clues to related disease treatment.

中文翻译：

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转录和翻译时延驱动的NF-κB的振荡表达。

NF-的振荡表达信号传导系统可导致核NF-的积累，涉及各种重要的细胞过程，包括免疫应答，炎症和癌症的发展。通常认为，NF-信号传递系统中涉及的负反馈电路负责振荡表达。考虑到涉及到转录，转录物剪接和加工以及蛋白质合成所导致的时间延迟的反馈环，本文提出了一种具有时间延迟的数学模型，以NF-为中心描述核心负反馈电路。公式：见正文]，并开发出A20样蛋白。在此，时间延迟是指[公式：参见文本]的转录和翻译过程的时间需求。第一，结果表明时间延迟可以驱动NF-信号系统的振荡动力学。具体地，存在时间延迟的临界值。当时间延迟超过临界值时，系统会显示振荡动态，并且随着时间延迟的增加，振幅和周期也会相应增加。其次，分析表明类A20蛋白能够改变核NF-振荡的幅度和周期。此外，还讨论了几个重要参数对核NF-振荡的影响。最后，形成了预测，该预测是缩短时间延迟，修复和维持A20样蛋白的功能以及增加转录率可能是相关疾病治疗的新线索。