改进的De Young-Keizer钙振荡模型  

The Improved De Young-Keizer Calcium Oscillations Model

作　　者：庞兴慧 祁宏 PANG Xinghui;QI Hong(Complex Systems Research Center,Shanxi University,Taiyuan Shanxi 030006,China;Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention,Shanxi University,Taiyuan Shanxi 030006,China)

机构地区：[1]山西大学复杂系统研究所,山西太原030006 [2]山西大学疾病防控的数学技术与大数据分析山西省重点实验室,山西太原030006

出　　处：《江西师范大学学报（自然科学版）》2019年第6期613-619,共7页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11504214);山西高等学校科技创新课题(2019L0015)资助项目

摘　　要：钙离子(Ca^2+)是细胞内重要的信使分子,其通过钙振荡的形式控制很多细胞活动.为了研究钙振荡产生的机制,研究者们构建了较多钙振荡模型,由De Young和Keizer构建的模型(DYK模型)是其中的典型代表.但DYK模型有一些不足之处,其最主要的问题是Ca^2+振荡的振幅与最新实验数据相差较大.该文依据对DYK模型参数敏感性分析的结果,调整了其中的3个参数,并考虑Ca^2+缓冲蛋白的作用,提出改进模型.改进模型的时间序列和以[IP3]为分岔参数分析的结果显示:细胞质和内质网Ca^2+振荡的范围符合实验测量结果.此外,微调改进模型的3个参数可以使钙信号编码方式呈现调幅、调频和调幅加调频混合模式.该研究不仅可使人们从理论方面理解钙振荡产生的机制及钙信号的编码方式,而且可为后续研究提供能真实反映实验结果的数学模型及理论框架.Ca^2+ is an important messenger that controls many cellular activities through the form of calcium oscillations.In order to study the mechanisms of calcium oscillations,researchers have developed many models,among which De Young-Keizer model(DYK model)is one of the standard models in the field.However,DYK model has some shortcomings.The main problem is that the amplitude of Ca^2+ oscillations is far from the recent experimental data.Here,based on the results of parameter sensitivity analysis for DYK model,three parameters are adjusted and an improved DYK model is proposed by considering the role of Ca^2+buffer.The results of time series and bifurcation analysis with respect to[IP 3]of the improved DYK model show that the amplitudes of Ca^2+ oscillations in the cytoplasm and endoplasmic reticulum are all consistent with the experimental observation.In addition,it is shown that by fine-tuning three parameters of the improved model,the calcium signal can be encoded in amplitude modulation,frequency modulation,or mixed modulation.This study not only helps people understand the mechanism and encoding modes of calcium oscillations from a theoretical perspective,but also provides a mathematical model that can truly reflect the experimental results and a theoretical framework for subsequent researches.

关 键 词：DE Young-Keizer模型 钙振荡 分岔分析 调幅 调频 

分 类 号：Q612[生物学—生物物理学]