数学建模在昼夜节律生物钟中的应用  

APPLICATION OF MATHEMATICAL MODEL IN CIRCADIAN CLOCK

作　　者：李莹[1] 郑明银[2] 刘曾荣[3] 

机构地区：[1]上海海洋大学信息学院,上海201306 [2]泛亚汽车技术中心有限公司,上海201201 [3]上海大学系统生物技术研究所,上海200444

出　　处：《动力学与控制学报》2015年第1期56-61,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11102106;11172158)~~

摘　　要：昼夜节律生物钟是在分子水平上产生的以24小时为周期的内在节律振子,大量的遗传信息和复杂的分子环路使得人们能在系统的角度对昼夜节律生物钟进行理论研究.数学模型有助于我们理解产生生物钟振子的分子调控机制及其动力学特性.通过数值模拟,数学模型可以分析关键参数在系统中的作用、预测新的行为以供实验进一步验证,也可以为实验中的直观发现提供合理的解释,或者揭示生物钟分子机制的设计原理.本文总结了一些昼夜节律生物钟的数学模型,讨论并阐述了数学模型的建立和分析以及数学模型的优势及局限性.这个论述将为研究昼夜节律生物钟提供广泛的参考,同时为进一步了解数学模型在生命系统研究中的作用提供借鉴.Circadian rhythms are endogenous oscillations characterized by a period of about 24 h. The abundance of genetic information and the complexity of the molecular circuitry make circadian clocks a system of choice for theoretical studies. Mathematical model can help us understand the molecular regulatory mechanisms that underlie these circadian oscillations and account for their dynamic properties. By numerical simulations,mathematical models can highlight the role of key parameters and can be used to predict the behavior of the system in conditions not yet tested by experiments. Mathematical models can also be used to provide possible explanations to unintuitive observations or to unravel the design principles of the circadian molecular oscillator. In this paper,we summarized the mathematical models used in circadian clock. The building and analysis of mathematical model,as well as its advantages and limitations,were highlighted. All of these will provide scientific basis for further studying on circadian clock,and even for understanding the functions of mathematical model in life system.

关 键 词：昼夜节律 生物钟 数学建模 振子 微分方程 

分 类 号：O242.1[理学—计算数学]