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This study presents a mathematical model describing cloned hematopoiesis inchronic myeloid leukemia (CML) through a nonlinear system of differentialequations. The primary objective is to understand the progression from normalhematopoiesis to the chronic and accelerated-acute phases in myeloid leukemia.The model incorporates intrinsic cellular division events in hematopoiesis anddelineates the evolution of chronic myeloid leukemia into six compartments:cycling stem cells, quiescent stem cells, progenitor cells, differentiatedcells, and terminally differentiated cells. Our analysis reveals the existenceof three distinct steady states within the dynamical system, representingnormal hematopoiesis, the chronic phase, and the accelerated-acute stage of thedisease. We investigate the local and global stability of these steady statesand provide a characterization of the hematopoietic states based on thisanalysis. Additionally, numerical simulations are included to illustrate thetheoretical results.

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