Mathematical models and dynamic behaviors of cancer treatment by continuous and pulsed radiotherapy
Journal of Applied Mathematics and Computing, ISSN: 1865-2085, Vol: 69, Issue: 2, Page: 1819-1843
2023
- 1Citations
- 4Usage
- 2Captures
- 1Mentions
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Metrics Details
- Citations1
- Citation Indexes1
- Usage4
- Abstract Views4
- Captures2
- Readers2
- Mentions1
- News Mentions1
- 1
Most Recent News
Investigators from NOVA Southeastern University Zero in on Cancer (Mathematical Models and Dynamic Behaviors of Cancer Treatment By Continuous and Pulsed Radiotherapy)
2022 DEC 07 (NewsRx) -- By a News Reporter-Staff News Editor at NewsRx Drug Daily -- Researchers detail new data in Cancer. According to news
Article Description
In this study, two mathematical models are introduced to describe treatment of cancer by continuous and pulsed radiotherapy. In the continuous radiotherapy model, we determine all of the equilibrium points and conduct a thorough examination of the stability of these equilibria. Criterions of the radiation dose that guarantee the cancer to be eradicated or take a positive balance with normal cells are provided. In the pulsed radiotherapy model, conditions of the existence and stability of cancer win periodic solution, cancer eradication periodic solution and coexistent periodic solution are derived. Meanwhile, numerical simulations to the effect of radiation dose on the cure and spread of the cancer are carried out. A brief conclusion is presented, as well as a few intriguing subjects for additional investigation are discussed.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85141381625&origin=inward; http://dx.doi.org/10.1007/s12190-022-01813-z; https://link.springer.com/10.1007/s12190-022-01813-z; https://nsuworks.nova.edu/math_facarticles/362; https://nsuworks.nova.edu/cgi/viewcontent.cgi?article=1366&context=math_facarticles; https://dx.doi.org/10.1007/s12190-022-01813-z; https://link.springer.com/article/10.1007/s12190-022-01813-z
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