A density-dependent chemotaxis–haptotaxis system modeling cancer invasion☆
A density-dependent chemotaxis–haptotaxis system modeling cancer invasion☆
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DOI：
10.1016/j.jmaa.2010.02.015
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发表时间：
2010-07
影响因子：
1.3
通讯作者：
Youshan Tao;Chunli Cui
中科院分区：
文献类型：
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作者：
Youshan Tao;Chunli Cui
本文讨论了最初由Chaplain和Lolas提出的癌细胞侵袭组织的趋化-趋触模型。该模型由三个反应-扩散-趋性偏微分方程描述癌细胞，基质降解酶和宿主组织之间的相互作用。细胞密度的方程包括两个有界的非线性密度依赖性趋化性和趋触性敏感性函数。在Logistic阻尼存在的情况下，我们利用一些精确的先验估计技巧证明了该模型古典解的整体存在性。
This paper deals with a chemotaxis–haptotaxis model of cancer invasion of tissue, initially proposed by Chaplain and Lolas. The model consists of three reaction–diffusion–taxis partial differential equations describing interactions between cancer cells, matrix degrading enzymes, and the host tissue. The equation for cell density includes two bounded nonlinear density-dependent chemotactic and haptotactic sensitivity functions. In the presence of logistic damping, we prove the global existence of a unique classical solution to this model by some delicate a priori estimate techniques.