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 Modifie...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.展开更多
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）.
文摘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.
