Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay
In order to investigate the effects of the differentiation delay in chronic myeloid leukemia stem cells on the dynamic behaviors among chronic myeloid leukemia stem cells, chronic myeloid leukemia mature cells and effector T cells, a delayed immune model of chronic myeloid leukemia with the treat...
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Harbin University of Science and Technology Publications
2024-10-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2375 |
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| author | WANG Jingnan SUN Yue |
| author_facet | WANG Jingnan SUN Yue |
| author_sort | WANG Jingnan |
| collection | DOAJ |
| description |
In order to investigate the effects of the differentiation delay in chronic myeloid leukemia stem cells on the dynamic behaviors among chronic myeloid leukemia stem cells, chronic myeloid leukemia mature cells and effector T cells, a delayed immune model of chronic myeloid leukemia with the treatment of interferon-alpha and imatinib is established. Through the stability analysis of the modified time-delay model, using normal form and central manifold theory, the critical conditions and properties of Hopf bifurcation are obtained. In addition, the conditions for the control of chronic myeloid leukemia by interferon-alpha and imatinib combined with effector T cells are given. For example, under the intervention of drugs, adjusting the time delay of differentiation can make the number of stem cells and mature cells of chronic myeloid leukemia show a stable and non-increasing state, or transition from large amplitude periodic oscillation state to small periodic oscillation state. Finally, numerical simulations verify the obtained theories. |
| format | Article |
| id | doaj-art-2097fbb340694a4f84f6a5f80198df24 |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-10-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-2097fbb340694a4f84f6a5f80198df242025-08-20T03:33:22ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-10-01290513214110.15938/j.jhust.2024.05.015Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time DelayWANG Jingnan0SUN Yue1School of Sciences, Harbin University of Science and Technology, Harbin 150080 , ChinaSchool of Sciences, Harbin University of Science and Technology, Harbin 150080 , China In order to investigate the effects of the differentiation delay in chronic myeloid leukemia stem cells on the dynamic behaviors among chronic myeloid leukemia stem cells, chronic myeloid leukemia mature cells and effector T cells, a delayed immune model of chronic myeloid leukemia with the treatment of interferon-alpha and imatinib is established. Through the stability analysis of the modified time-delay model, using normal form and central manifold theory, the critical conditions and properties of Hopf bifurcation are obtained. In addition, the conditions for the control of chronic myeloid leukemia by interferon-alpha and imatinib combined with effector T cells are given. For example, under the intervention of drugs, adjusting the time delay of differentiation can make the number of stem cells and mature cells of chronic myeloid leukemia show a stable and non-increasing state, or transition from large amplitude periodic oscillation state to small periodic oscillation state. Finally, numerical simulations verify the obtained theories.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2375chronic myeloid leukemiastabilityhopf bifurcationperiodic solutioncell differentiation time |
| spellingShingle | WANG Jingnan SUN Yue Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay Journal of Harbin University of Science and Technology chronic myeloid leukemia stability hopf bifurcation periodic solution cell differentiation time |
| title | Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay |
| title_full | Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay |
| title_fullStr | Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay |
| title_full_unstemmed | Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay |
| title_short | Stability and Bifurcation of the Immune Model of Chronic Myeloid Leukemia with Time Delay |
| title_sort | stability and bifurcation of the immune model of chronic myeloid leukemia with time delay |
| topic | chronic myeloid leukemia stability hopf bifurcation periodic solution cell differentiation time |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2375 |
| work_keys_str_mv | AT wangjingnan stabilityandbifurcationoftheimmunemodelofchronicmyeloidleukemiawithtimedelay AT sunyue stabilityandbifurcationoftheimmunemodelofchronicmyeloidleukemiawithtimedelay |