Optimal Treatment of Prostate Cancer Based on State Constraint
As a new tumor therapeutic strategy, adaptive therapy involves utilizing the competition between cancer cells to suppress the growth of drug-resistant cells, maintaining a certain tumor burden. However, it is difficult to determine the appropriate time and drug dose. In this paper, we consider the c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/19/4025 |
| _version_ | 1797575499371773952 |
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| author | Wenhui Luo Xuewen Tan Xiufen Zou Qing Tan |
| author_facet | Wenhui Luo Xuewen Tan Xiufen Zou Qing Tan |
| author_sort | Wenhui Luo |
| collection | DOAJ |
| description | As a new tumor therapeutic strategy, adaptive therapy involves utilizing the competition between cancer cells to suppress the growth of drug-resistant cells, maintaining a certain tumor burden. However, it is difficult to determine the appropriate time and drug dose. In this paper, we consider the competition model between drug-sensitive cells and drug-resistant cells, propose the problem of drug concentration, and provide two state constraints: the upper limit of the maximum allowable drug concentration and the tumor burden. Using relevant theories, we propose the best treatment strategy. Through a numerical simulation and quantitative analysis, the effects of drug concentrations and different tumor burdens on treatments are studied, and the effects of cell-to-cell competitive advantage on cell changes are taken into account. The clinical dose titration method is further simulated; the results show that our therapeutic regimen can better suppress the growth of drug-resistant cells, control the tumor burden, limit drug toxicity, and extend the effective treatment time. |
| first_indexed | 2024-03-10T21:40:26Z |
| format | Article |
| id | doaj.art-123d6f3801f3486bafe8ba03fc26b019 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T21:40:26Z |
| publishDate | 2023-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-123d6f3801f3486bafe8ba03fc26b0192023-11-19T14:42:21ZengMDPI AGMathematics2227-73902023-09-011119402510.3390/math11194025Optimal Treatment of Prostate Cancer Based on State ConstraintWenhui Luo0Xuewen Tan1Xiufen Zou2Qing Tan3School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, ChinaSchool of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaAs a new tumor therapeutic strategy, adaptive therapy involves utilizing the competition between cancer cells to suppress the growth of drug-resistant cells, maintaining a certain tumor burden. However, it is difficult to determine the appropriate time and drug dose. In this paper, we consider the competition model between drug-sensitive cells and drug-resistant cells, propose the problem of drug concentration, and provide two state constraints: the upper limit of the maximum allowable drug concentration and the tumor burden. Using relevant theories, we propose the best treatment strategy. Through a numerical simulation and quantitative analysis, the effects of drug concentrations and different tumor burdens on treatments are studied, and the effects of cell-to-cell competitive advantage on cell changes are taken into account. The clinical dose titration method is further simulated; the results show that our therapeutic regimen can better suppress the growth of drug-resistant cells, control the tumor burden, limit drug toxicity, and extend the effective treatment time.https://www.mdpi.com/2227-7390/11/19/4025problems in pharmacologydrug toxicitytumor burdenstate constraintsoptimal control |
| spellingShingle | Wenhui Luo Xuewen Tan Xiufen Zou Qing Tan Optimal Treatment of Prostate Cancer Based on State Constraint Mathematics problems in pharmacology drug toxicity tumor burden state constraints optimal control |
| title | Optimal Treatment of Prostate Cancer Based on State Constraint |
| title_full | Optimal Treatment of Prostate Cancer Based on State Constraint |
| title_fullStr | Optimal Treatment of Prostate Cancer Based on State Constraint |
| title_full_unstemmed | Optimal Treatment of Prostate Cancer Based on State Constraint |
| title_short | Optimal Treatment of Prostate Cancer Based on State Constraint |
| title_sort | optimal treatment of prostate cancer based on state constraint |
| topic | problems in pharmacology drug toxicity tumor burden state constraints optimal control |
| url | https://www.mdpi.com/2227-7390/11/19/4025 |
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