Mathematical models of cancer invasion of tissue: local and nonlocal interactions
Last modified: 2014-06-09
Abstract
During this talk we consider various mathematical models of cancer invasion of tissue.
We will focus on two crucial components of tissue invasion, cancer cell proliferation and
the secretion of proteolytic enzymes induced by the cancer cells. The models consist of
reaction-di_usion-taxis partial di_erential equations and, in some cases, it may include
nonlocal kinetic terms. We will present theoretical results for the models as well as
numerical simulations.