学术报告

题      目：A minimal physiologically-based model of the ultradian NREM-REM cycle

报  告  人：姚成贵  教授  (邀请人：邹为 )

                                   嘉兴大学

时      间：12月15日  14：00-15：00

地     点：数科院东楼401

报告人简介:

        姚成贵教授，入选浙江省高校领军人才培养计划高层次拔尖人才，浙江省高校中青年学科带头人。2011年于中科院武汉物理与数学研究所获得理学博士学位。主要研究方向：睡眠动力学，非线性动力学，神经动力学及其数学建模。目前发表SCI论文40多篇，主持完成国家自然科学基金面上项目，主持完成国家自然科学基金青年基金项目，浙江省自然科学基金面上项目，中国博士后基金。

摘      要：

        The mechanism for regulating sleep and wakefulness has attracted the attention of researchers due to its significance in maintaining normal development, stabilizing various metabolic functions, and improv- ing the body’s immunity. In this paper, we propose a mathematical model to replicate the circadian and ultradian rhythms in sleep. The new sleep model incorporates three ’flip-flop’ switches between wakeful- ness (Wake), rapid eye movement (REM), and non-rapid eye movement (NREM) sleep. By applying linear stability analysis to the new model with net drives, we discover the existence of two distinct node-saddle bifurcations. One controls the transition between wakefulness and sleep, while the other regulates the cycle of NREM sleep and REM sleep. Furthermore, the hysteresis loops induced by these two saddle-node bifurcations contribute to the mechanism governing circadian and ultradian rhythms.  Finally, we successfully replicate normal sleep with a 24-hour circadian rhythm and a 1.5-hour ultradian rhythm, which aligns with actual data. This replication is achieved under the influence of circadian and ultradian drives, as well as the homeostatic process with appropriate parameters.

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