FRACTIONAL TIME SCALE IN CALCIUM ION CHANNELS MODEL

作     者：SHI-LONG GAO 

作者机构：College of Mathematics and Information Science Leshan Normal University Leshan 614000 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2013年第6卷第4期

页      面：61-71页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0905[农学-畜牧学] 09[农学] 090501[农学-动物遗传育种与繁殖] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Acknowledgments The research of this paper is supported by National Natural Science Foundation of China (Grant No. 11171238) and a project supported by Scientific Research Fund of Sichuan Provincial Education Department (Grant No. 13ZA0109) 

主　　题：Fractional-order differential equations time scale calcium ion channels asymptotically stable. 

摘      要：We propose a fractional time scale to model the calcium ion channels model which is retarded with injection of calcium-chelator Ethylene Glycol Tetraacetic Acid （EGTA）. By using this nonlinear time scale and Modified Riemann-Liouville fractional derivative, we convert the integer-order calcium ion channels model into fractional-order differential equations. We also analyze the range of order of fractional-order differentiM equations to ensure the equilibria of it are asymptotically stable. The simulation results are given to demonstrate the solutions of this model coincide with the real experiment data.