{"id":6003,"date":"2025-07-13T12:05:43","date_gmt":"2025-07-13T12:05:43","guid":{"rendered":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/?page_id=6003"},"modified":"2025-09-12T18:00:43","modified_gmt":"2025-09-12T18:00:43","slug":"a-mathematical-model-of-clonal-hematopoiesis-explaining-phase-transitions-in-cml","status":"publish","type":"page","link":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/a-mathematical-model-of-clonal-hematopoiesis-explaining-phase-transitions-in-cml\/","title":{"rendered":"Article no.11"},"content":{"rendered":"\n

A Mathematical Model of Clonal Hematopoiesis Explaining Phase Transitions in Chronic Myeloid LeukemiaResearch Paper, May 07, 2025 \/ Lorand Gabriel Parajdi<\/a><\/p>\n\n\n\n

Published in Mathematical Medicine and Biology, Oxford University Press, a journal of the IMA (MMB) 42(3), 253-288,<\/em> DOI: 10.1093\/imammb\/dqaf004<\/mark><\/a>, \u00a0202<\/em>5.<\/p>\n\n\n\n

\"\"   The full paper is available on the Mathematical Medicine and Biology, a journal of the IMA (MMB) website: <\/mark><\/strong> https:\/\/academic.oup.com\/imammb\/advance-article\/doi\/10.1093\/imammb\/dqaf004\/8126123<\/a><\/p>\n\n\n\n

Authors:<\/mark><\/strong> Lorand Gabriel Parajdi1,2,3<\/sup>, Xue Bai1<\/sup>, David Kegyes3,4,5<\/sup> and Ciprian Tomuleasa3,4,5<\/sup> <\/p>\n\n\n\n

<\/a>1 <\/sup>Department of Mathematics, West Virginia University, Morgantown, WV, USA <\/a>2 <\/sup>Department of Mathematics, “Babe\u015f\u2013Bolyai” University, Cluj-Napoca, Romania <\/a>3<\/sup> Academy of Romanian Scientists, Ilfov 3, Bucharest, Romania <\/a>4<\/sup> Department of Hematology, “Ion Chiricu\u021b\u0103” Clinical Cancer Center, Cluj-Napoca, Romania<\/a>5<\/sup> Research Center for Advanced Medicine, “Iuliu Ha\u021bieganu” University of Medicine and Pharmacy, Cluj-Napoca, Romania<\/a><\/p>\n\n\n\n

Abstract<\/mark><\/strong>: 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.<\/p>\n\n\n\n

Keywords<\/strong>:<\/mark> mathematical modeling; dynamical system; steady state; stability; clonal hematopoiesis; chronic myeloid leukemia; cycling stem cells; quiescent stem cells; progenitor cells; differentiated cells; terminally differentiated cells; pseudo-chemical reactions.<\/p>\n\n\n\n

Cite As:<\/mark><\/strong> Parajdi LG, Bai X, Kegyes D, Tomuleasa C. A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia. Mathematical Medicine and Biology, a journal of the IMA<\/em>. 2025; 42(3): 253-288.<\/p>\n\n\n\n

This work of the first author was supported by the project “The Development of Advanced and Applicative Research Competencies in the Logic of STEAM + Health” (POCU\/993\/6\/13\/153310), a project co-financed by the European Social Fund through the Romanian Operational Programme ‘Human Capital’, 2014-2020. For more details about the project, please visit the project website:<\/strong> https:\/\/sites.euro.ubbcluj.ro\/steam\/<\/mark><\/strong><\/a> . The authors of this paper, L.G. Parajdi, D. Kegyes and C. Tomuleasa, received funding through a grant from the Academy of Romanian Scientists for the years 2023\u20132024. D. Kegyes and C. Tomuleasa are funded by a national grant of the Romanian Research Ministry \u2014 PNRR 2024\u20132026 (PNRR\/2022\/C9\/MCID\/18, Contract No. 760278\/26.03.2024).<\/strong><\/p>\n\n\n\n

References:<\/strong><\/mark><\/p>\n","protected":false},"excerpt":{"rendered":"

A Mathematical Model of Clonal Hematopoiesis Explaining Phase Transitions in Chronic Myeloid LeukemiaResearch Paper, May 07, 2025 \/ Lorand Gabriel Parajdi Published in Mathematical Medicine and Biology, Oxford University Press, a journal of the IMA (MMB) 42(3), 253-288, DOI: 10.1093\/imammb\/dqaf004, \u00a02025.   The full paper is available on the Mathematical Medicine and Biology, a journal of … Continue reading Article no.11<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/6003"}],"collection":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/comments?post=6003"}],"version-history":[{"count":17,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/6003\/revisions"}],"predecessor-version":[{"id":6085,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/6003\/revisions\/6085"}],"wp:attachment":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/media?parent=6003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}