Work

A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia

Year: 2025

Type: article

Abstract: This study presents a mathematical model describing cloned hematopoiesis in chronic myeloid leukemia $\text{(CML)}$ through a nonlinear system of differential equations. The primary objective is to understand the progression from healthy hematopoiesis to the chronic and accelerated-acute phases in myeloid leukemia. The model incorporates intrinsic cellular division events in hematopoiesis and delineates the evolution of chronic myeloid leukemia into five compartments: cycling stem cells, quiescent stem cells, progenitor cells, differentiated cells and terminally differentiated cells. Our analysis reveals the existence of three distinct non-zero steady states within the dynamical system, representing healthy hematopoiesis, the chronic phase and the accelerated-acute stage of the disease. We investigate the local and global stability of these steady states and provide a characterization of the hematopoietic states based on this analysis. Additionally, numerical simulations are included to illustrate the theoretical results.

Source: Mathematical Medicine and Biology A Journal of the IMA

DOI: 10.1093/imammb/dqaf004

Authors: Lorand Gabriel Parajdi, Xue Bai, Dávid Kegyes, Ciprian Tomuleasa

Institutions: West Virginia University, Babeș-Bolyai University, Academia Oamenilor de Știință din România, Iuliu Hațieganu University of Medicine and Pharmacy, Institute of Oncology Prof. Dr. Ion Chiricuta

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

SDG: Good health and well-being

Open Access status: hybrid

Estimated APC paid: $3,718