Abstract
The treatment by radiotherapy or chemotherapy to human cancers induces a complex chain of events involving reversible cell cycle and cell death [1]. In this paper we study the asymptotical behavior of the solutions for the mathematical model that has potential to describe the growth of human tumors cells and their responses to therapy. We found that the solutions of this system are either bounded, exponential bounded or exponential decay. This result can be used to predict the response of cells to mitotic arrest.
| Original language | English |
|---|---|
| Pages (from-to) | 779-792 |
| Number of pages | 14 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 5 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2006 Dec |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Duhamel's principle
- Fixed point theorem
- Fourier analysis
- Gronwall's inequality
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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