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arXiv · 2401.05316

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

Lorand Gabriel Parajdi·Xue Bai·David Kegyes·Ciprian Tomuleasa
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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.

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Lorand Gabriel Parajdi, Xue Bai, David Kegyes, Ciprian Tomuleasa. 2025-11-04. A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia. https://doi.org/10.1093/imammb%2Fdqaf004

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