Shreya Satija . Anindita Saha . Ashish Poonia . Siddhartha P. Chakrabarty

Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati-781039, India, E-mail: ssatija@alumni.iitg.ac.in Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati-781039, India, E-mail: s.anindita@alumni.iitg.ac.in Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati-781039, India, E-mail: apoonia@ iitg.ac.in Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati-781039, India, E-mail: pratim@ iitg.ac.in

Received in final form on March 20, 2023

Abstract
We describe a deterministic and a stochastic model to understand the dynamics of chronic myelogenous leukemia (CML). The deterministic model comprises the interaction between leukemic cells at their different stages in CML and the autologous immune response. For this, we consider a system of ordinary differential equations, estimate its parameters and present the stability analysis for the existing equilibrium points. The results obtained are illustrated through appropriate numerical simulations. In case of the stochastic model, we consider only two cellular populations of stem cells and obtain the probability-generating functions for both these cells, both of which are visualized for illustrative cases. Our results show that a lower growth rate of cycling leukemic stem cells or a higher recruitment rate of immune cells which represents a suitable profile for suppressing the effect of CML on the patient.

Keywords
Chronic Myelogenous Leukemia, Quantitative Models, Immune Response.

Cite This Article
Shreya Satija . Anindita Saha, Deterministic and Stochastic Models for Chronic Myelogenous Leukemia Cellular Populations in Presence of Immune Response, J. Innovation Sciences and Sustainable Technologies, 3(2)(2023), 79 - 98. https://doie.org/10.0725/JISST.2023631764

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