Fractional calculus model of GATA-switching for regulating the differentiation of a hematopoietic stem cell

Advances in Difference Equations

Bashir Ahmad²  Moustafa El-Shahed³  Alexey Zaikin³  Ahmed Alsaedi³  Fuad Alsaadi⁴ 

[1] Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;Institute of Women’Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;s Health, Department of Mathematics, University College London, London, United Kingdom

关键词: GATA-switching;    fractional order dynamic system;    stability;    numerical methods;   

DOI  :  10.1186/1687-1847-2014-201

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with the fractional order model for GATA-switching for regulating the differentiation of a hematopoietic stem cell. We give a detailed analysis for the asymptotic stability of the model. The Adams-Bashforth-Moulton algorithm has been used to solve and simulate the system of differential equations.

【 授权许可】

CC BY