Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations
We study an avascular spherical solid tumour model with cell physiological age and resource constraints in vivo. We divide the tumour cells into three components: proliferating cells, quiescent cells and dead cells in necrotic core. We assume that the division rate of proliferating cells is nonlinea...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2023.2295492 |
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| author | Zhonghu Luo Zijian Liu Yuanshun Tan Jin Yang |
| author_facet | Zhonghu Luo Zijian Liu Yuanshun Tan Jin Yang |
| author_sort | Zhonghu Luo |
| collection | DOAJ |
| description | We study an avascular spherical solid tumour model with cell physiological age and resource constraints in vivo. We divide the tumour cells into three components: proliferating cells, quiescent cells and dead cells in necrotic core. We assume that the division rate of proliferating cells is nonlinear due to the nutritional and spatial constraints. The proportion of newborn tumour cells entering directly into quiescent state is considered, since this proportion can respond to the therapeutic effect of drug. We establish a nonlinear age-structured tumour cell population model. We investigate the existence and uniqueness of the model solution and explore the local and global stabilities of the tumour-free steady state. The existence and local stability of the tumour steady state are studied. Finally, some numerical simulations are performed to verify the theoretical results and to investigate the effects of different parameters on the model. |
| format | Article |
| id | doaj-art-dcd6dcac30d44d4a871b4784dbe15c67 |
| institution | OA Journals |
| issn | 1751-3758 1751-3766 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj-art-dcd6dcac30d44d4a871b4784dbe15c672025-08-20T02:20:55ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662024-12-0118110.1080/17513758.2023.2295492Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitationsZhonghu Luo0Zijian Liu1Yuanshun Tan2Jin Yang3College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaCollege of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaCollege of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaCollege of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaWe study an avascular spherical solid tumour model with cell physiological age and resource constraints in vivo. We divide the tumour cells into three components: proliferating cells, quiescent cells and dead cells in necrotic core. We assume that the division rate of proliferating cells is nonlinear due to the nutritional and spatial constraints. The proportion of newborn tumour cells entering directly into quiescent state is considered, since this proportion can respond to the therapeutic effect of drug. We establish a nonlinear age-structured tumour cell population model. We investigate the existence and uniqueness of the model solution and explore the local and global stabilities of the tumour-free steady state. The existence and local stability of the tumour steady state are studied. Finally, some numerical simulations are performed to verify the theoretical results and to investigate the effects of different parameters on the model.https://www.tandfonline.com/doi/10.1080/17513758.2023.2295492Nonlinear age-structured modelproliferating cellsresource limitationsteady state92B05 |
| spellingShingle | Zhonghu Luo Zijian Liu Yuanshun Tan Jin Yang Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations Journal of Biological Dynamics Nonlinear age-structured model proliferating cells resource limitation steady state 92B05 |
| title | Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations |
| title_full | Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations |
| title_fullStr | Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations |
| title_full_unstemmed | Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations |
| title_short | Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations |
| title_sort | modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations |
| topic | Nonlinear age-structured model proliferating cells resource limitation steady state 92B05 |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2023.2295492 |
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