@article{Singh2022, 
author = {Ram Singh and Attiq U. Rehman and Mehedi Masud and Hesham A. Alhumyani and Shubham Mahajan and Amit K. Pandit and Praveen Agarwal},
title = {Fractional order modeling and analysis of dynamics of stem cell differentiation in complex network},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {5175-5198},
keywords = {cell production system, stem cell, non-singular kernel, stability analysis},
url = {https://www.sciopen.com/article/10.3934/math.2022289},
doi = {10.3934/math.2022289},
abstract = {In this study, a mathematical model for the differentiation of stem cells is proposed to understand the dynamics of cell differentiation in a complex network. For this, myeloid cells, which are differentiated from stem cells, are introduced in this study. We introduce the threshold quantity              R              0       to understand the population dynamics of stem cells. The local stability analysis of three equilibria, namely    (  i  ) free equilibrium points,    (  i  i  ) absence of stem and progenitor cells, and    (  i  i  i  ) endemic equilibrium points are investigated in this study. The model is first formulated in non-fractional order and after that converted into a fractional sense by utilizing the Atangana-Baleanu derivative in Caputo (ABC) sense in the form of a non-singular kernel. The model is solved by using numerical techniques. It is seen that the myeloid cell population significantly affects the stem cell population.}
}