Nonlinear analysis of a model of vascular tumour growth and treatment
Nonlinear analysis of a model of vascular tumour growth and treatment
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DOI：
10.1088/0951-7715/17/3/008
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发表时间：
2004-02
期刊：
影响因子：
1.7
通讯作者：
Youshan Tao;N. Yoshida;Qian Guo
中科院分区：
文献类型：
--
作者：
Youshan Tao;N. Yoshida;Qian Guo
We consider a mathematical model describing the evolution of a vascular tumour in response to traditional chemotherapy. The model is a free boundary problem for a system of partial differential equations governing intratumoural drug concentration, cancer cell density and blood vessel density. Tumour cells consist of two types of competitive cells that have different proliferation rates and different sensitivities to drugs. The balance between cell proliferation and death generates a velocity field that drives tumour cell movement. The tumour surface is a moving boundary. The purpose of this paper is to establish a rigorous mathematical analysis of the model for studying the dynamics of intratumoural blood vessels and to explore drug dosage for the successful treatment of a tumour. We also study numerically the competitive effects of the two cell types on tumour growth.
