A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia
arXiv:2401.05316 · doi:10.1093/imammb/dqaf004
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.
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