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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.<\/jats:p>","DOI":"10.1093\/imammb\/dqaf004","type":"journal-article","created":{"date-parts":[[2025,5,1]],"date-time":"2025-05-01T08:08:32Z","timestamp":1746086912000},"page":"253-288","source":"Crossref","is-referenced-by-count":2,"title":["A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia"],"prefix":"10.1093","volume":"42","author":[{"given":"Lorand Gabriel","family":"Parajdi","sequence":"first","affiliation":[{"name":"Department of Mathematics, West Virginia University , 26506 Morgantown, WV, USA"},{"name":"Department of Mathematics, \u201cBabe\u015f\u2013Bolyai\u201d University , 400084 Cluj-Napoca, Romania"},{"name":"Academy of Romanian Scientists , Ilfov 3, 050044 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xue","family":"Bai","sequence":"additional","affiliation":[{"name":"Department of Mathematics, West Virginia University , 26506 Morgantown, WV, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"D\u00e1vid","family":"Kegyes","sequence":"additional","affiliation":[{"name":"Academy of Romanian Scientists , Ilfov 3, 050044 Bucharest, Romania"},{"name":"Department of Hematology, \u201cIon Chiricu\u0163\u0103\u201d Clinical Cancer Center , 400124 Cluj-Napoca, Romania"},{"name":"Research Center for Advanced Medicine, \u201cIuliu Ha\u0163ieganu\u201d University of Medicine and Pharmacy , 400349 Cluj-Napoca, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ciprian","family":"Tomuleasa","sequence":"additional","affiliation":[{"name":"Academy of Romanian Scientists , Ilfov 3, 050044 Bucharest, Romania"},{"name":"Department of Hematology, \u201cIon Chiricu\u0163\u0103\u201d Clinical Cancer Center , 400124 Cluj-Napoca, Romania"},{"name":"Research Center for Advanced Medicine, \u201cIuliu Ha\u0163ieganu\u201d University of Medicine and Pharmacy , 400349 Cluj-Napoca, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2025,5,7]]},"reference":[{"key":"2025091917373652000_ref1","doi-asserted-by":"crossref","first-page":"1328","DOI":"10.1137\/040604698","article-title":"A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia","volume":"65","author":"Adimy","year":"2005","journal-title":"SIAM J. 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