A mathematical model of clonal hematopoiesis explaining phase transitions in myeloid leukemia
arxiv(2024)
摘要
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 normal
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 six compartments:
cycling stem cells, quiescent stem cells, progenitor cells, differentiated
cells, and terminally differentiated cells. Our analysis reveals the existence
of three distinct steady states within the dynamical system, representing
normal 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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