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M. Lachowiz, “Towards Microscopic and Non-Local Models of Tumor Invasion of Tissue,” In: N. Bellomo, M. Chaplain and E. De Angelis, Eds., Selected Topics in Cancer Modeling, Birkh?user, Boston, 2008, pp. 49-63. doi:10.1007/978-0-8176-4713-1_3

has been cited by the following article:

• TITLE: Global Existence of Classical Solutions to a Cancer Invasion Model

  AUTHORS: Khadijeh Baghaei, Mohammad Bagher Ghaemi, Mahmoud Hesaaraki

  KEYWORDS: Cancer Invasion Model; Chemotaxis; Haptotaxis; Global Existence

  JOURNAL NAME: Applied Mathematics, Vol.3 No.4, April 27, 2012

  ABSTRACT: 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