Global Existence of Classical Solutions to a Cancer Invasion Model

• 作者: Khadijeh Baghaei Mahmoud Hesaaraki Mohammad Bagher Ghaemi
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Cancer INVASION MODEL CHEMOTAXIS HAPTOTAXIS Global Existence
• 年，卷（期）: 2012,（4）
• 页码范围: 382-388
• 页数: 7页
• 分类号: O1

摘要

This paper deals with a chemotaxis-haptotaxis model of cancer invasion of tissue. 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 absence of logistic damping, we prove the global existence of a unique classical solution to this model by some delicate a priori estimate techniques