The behavior of the solution for a mathematical model for analysis of the cell cycle

Yu Hsien Chang; Guo Chin Jau

doi:10.3934/cpaa.2006.5.779

The behavior of the solution for a mathematical model for analysis of the cell cycle

Yu Hsien Chang^*
, Guo Chin Jau

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
頁（從 - 到）	779-792
頁數	14
期刊	Communications on Pure and Applied Analysis
卷	5
發行號	4
DOIs	https://doi.org/10.3934/cpaa.2006.5.779
出版狀態	已發佈 - 2006 12月

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10.3934/cpaa.2006.5.779

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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.",

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AU - Jau, Guo Chin

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AB - 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.

KW - Duhamel's principle

KW - Fixed point theorem

KW - Fourier analysis

KW - Gronwall's inequality

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The behavior of the solution for a mathematical model for analysis of the cell cycle

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