Mathematical Modeling of Circadian Rhythms


Ling Yang,Soochow University


2019.11.19 14:00-15:00


Room 306, No.5 Science Building


Circadian clock is an autonomous oscillator which orchestrates the daily rhythms of physiology and behaviors. The core regulatory network of circadian clock consists of a negative primary feedback loop and some auxiliary feedback loops. In this talk, I will first present some mathematical models for the genetic regulatory network that underlies circadian rhythms. After that, I will show some interesting dynamical phenomenon that related to circadian rhythms. (1) Diurnal animals and nocturnal animals have the same regulatory mechanisms of circadian clocks, however the output of the circadian clocks (the activities of animals) are antiphase. (2) Experimental data showed that “memory effect” is naturally existed in the regulatory mechanism of circadian clock. (3) The strength and the phase of light stimulus can cause various kinds of amplitude responses of circadian clocks. (4) “Phase lock” can be observed between circadian clock and cell cycle in mammalian animals. Mathematical models clarify the molecular mechanism of the circadian clock and can also be used to gain new insights into the dynamical bases of circadian clock-related physiological phenomenon.