Author(s)

Khadijeh Baghaei, Mohammad Bagher Ghaemi, Mahmoud Hesaaraki

Department of Mathematics, Iran University of Science and Technology, Tehran, Iran.
Department of mathematics, Sharif University of Technology, Tehran, Iran.

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

Cancer Invasion Model; Chemotaxis; Haptotaxis; Global Existence

K. Baghaei, M. Ghaemi and M. Hesaaraki, "Global Existence of Classical Solutions to a Cancer Invasion Model," Applied Mathematics, Vol. 3 No. 4, 2012, pp. 382-388. doi: 10.4236/am.2012.34059.