A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia
Abstract
This study presents a mathematical model describing cloned hematopoiesis in chronic myeloid leukemia (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.
Keywords
Cite
@article{arxiv.2401.05316,
title = {A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia},
author = {Lorand Gabriel Parajdi and Xue Bai and David Kegyes and Ciprian Tomuleasa},
journal= {arXiv preprint arXiv:2401.05316},
year = {2025}
}
Comments
This version of the manuscript was published in Mathematical Medicine and Biology: A Journal of the IMA (2025), 42(3), 253-288. https://doi.org/10.1093/imammb/dqaf004