A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909887188959232 |
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| author | Parajdi, Lorand Gabriel Bai, Xue Kegyes, David Tomuleasa, Ciprian |
| author_facet | Parajdi, Lorand Gabriel Bai, Xue Kegyes, David Tomuleasa, Ciprian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia Parajdi, Lorand Gabriel Bai, Xue Kegyes, David Tomuleasa, Ciprian Dynamical Systems 37C75, 37N25, 34D23 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. |
| title | A mathematical model of clonal hematopoiesis explaining phase transitions in chronic myeloid leukemia |
| topic | Dynamical Systems 37C75, 37N25, 34D23 |
| url | https://arxiv.org/abs/2401.05316 |