Dynamic analysis of an age structure model for oncolytic virus therapy
Cancer is recognized as one of the serious diseases threatening human health. Oncolytic therapy is a safe and effective new cancer treatment method. Considering the limited ability of uninfected tumor cells to infect and the age of infected tumor cells have a significant effect on oncolytic therapy,...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2023-01-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023155?viewType=HTML |
| _version_ | 1828049046759014400 |
|---|---|
| author | Lu Gao Yuanshun Tan Jin Yang Changcheng Xiang |
| author_facet | Lu Gao Yuanshun Tan Jin Yang Changcheng Xiang |
| author_sort | Lu Gao |
| collection | DOAJ |
| description | Cancer is recognized as one of the serious diseases threatening human health. Oncolytic therapy is a safe and effective new cancer treatment method. Considering the limited ability of uninfected tumor cells to infect and the age of infected tumor cells have a significant effect on oncolytic therapy, an age-structured model of oncolytic therapy involving Holling-Ⅱ functional response is proposed to investigate the theoretical significance of oncolytic therapy. First, the existence and uniqueness of the solution is obtained. Furthermore, the stability of the system is confirmed. Then, the local stability and global stability of infection-free homeostasis are studied. The uniform persistence and local stability of the infected state are studied. The global stability of the infected state is proved by constructing the Lyapunov function. Finally, the theoretical results are verified by numerical simulation. The results show that when the tumor cells are at the appropriate age, injection of the right amount of oncolytic virus can achieve the purpose of tumor treatment. |
| first_indexed | 2024-04-10T19:05:10Z |
| format | Article |
| id | doaj.art-01a36335d5bb4552920fe7cc494ffe86 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-10T19:05:10Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-01a36335d5bb4552920fe7cc494ffe862023-01-31T01:09:45ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012023301332310.3934/mbe.2023155Dynamic analysis of an age structure model for oncolytic virus therapyLu Gao 0Yuanshun Tan 1Jin Yang2Changcheng Xiang31. Mathematics and Statistics, Chongqing Jiaotong University, 400074, Chongqing, China1. Mathematics and Statistics, Chongqing Jiaotong University, 400074, Chongqing, China1. Mathematics and Statistics, Chongqing Jiaotong University, 400074, Chongqing, China2. Mathematics and Statistics, Hubei University for Nationalities, Enshi, 445000, Hubei, ChinaCancer is recognized as one of the serious diseases threatening human health. Oncolytic therapy is a safe and effective new cancer treatment method. Considering the limited ability of uninfected tumor cells to infect and the age of infected tumor cells have a significant effect on oncolytic therapy, an age-structured model of oncolytic therapy involving Holling-Ⅱ functional response is proposed to investigate the theoretical significance of oncolytic therapy. First, the existence and uniqueness of the solution is obtained. Furthermore, the stability of the system is confirmed. Then, the local stability and global stability of infection-free homeostasis are studied. The uniform persistence and local stability of the infected state are studied. The global stability of the infected state is proved by constructing the Lyapunov function. Finally, the theoretical results are verified by numerical simulation. The results show that when the tumor cells are at the appropriate age, injection of the right amount of oncolytic virus can achieve the purpose of tumor treatment.https://www.aimspress.com/article/doi/10.3934/mbe.2023155?viewType=HTMLoncolytic virotherapyage-structured modelholling-ⅱ functional responsestabilityimmune response |
| spellingShingle | Lu Gao Yuanshun Tan Jin Yang Changcheng Xiang Dynamic analysis of an age structure model for oncolytic virus therapy Mathematical Biosciences and Engineering oncolytic virotherapy age-structured model holling-ⅱ functional response stability immune response |
| title | Dynamic analysis of an age structure model for oncolytic virus therapy |
| title_full | Dynamic analysis of an age structure model for oncolytic virus therapy |
| title_fullStr | Dynamic analysis of an age structure model for oncolytic virus therapy |
| title_full_unstemmed | Dynamic analysis of an age structure model for oncolytic virus therapy |
| title_short | Dynamic analysis of an age structure model for oncolytic virus therapy |
| title_sort | dynamic analysis of an age structure model for oncolytic virus therapy |
| topic | oncolytic virotherapy age-structured model holling-ⅱ functional response stability immune response |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023155?viewType=HTML |
| work_keys_str_mv | AT lugao dynamicanalysisofanagestructuremodelforoncolyticvirustherapy AT yuanshuntan dynamicanalysisofanagestructuremodelforoncolyticvirustherapy AT jinyang dynamicanalysisofanagestructuremodelforoncolyticvirustherapy AT changchengxiang dynamicanalysisofanagestructuremodelforoncolyticvirustherapy |