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