Work

Global Existence of Classical Solutions to a Cancer Invasion Model

Year: 2012

Type: article

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

Source: Applied Mathematics

DOI: 10.4236/am.2012.34059

Authors: Khadijeh Baghaei, Mohammad Bagher Ghaemi, Mahmoud Hesaaraki

Institutions: Iran University of Science and Technology, Sharif University of Technology

Language: English

Topic: Mathematical Biology Tumor Growth

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W1996561990

FWCI: 0.258

Cites: 23

Cited by: 5

Related to: 10