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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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	https://doi.org/10.3934/cpaa.2006.5.779
Publication status	Published - 2006 Dec

Keywords

Duhamel's principle
Fixed point theorem
Fourier analysis
Gronwall's inequality

ASJC Scopus subject areas

Analysis
Applied Mathematics

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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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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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.

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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

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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