title: A cancer model for the angiogenic switch.
abstract: The occurrence of metastasis is an important feature in cancer development. In order to have a one-site model taking into account the interactions between host, effector immune and tumor cells which is not only valid for the early stages of tumor growth, we developed in this paper a new model where are incorporated interactions of these three cell populations with endothelial cells. These latter cells are responsible for the neo-vascularization of the tumor site which allows the migration of tumor cells to distant sites. It is then shown that, for some parameter values, the resulting model for the four cell populations reproduces the angiogenic switch, that is, the transition from avascular to vascular tumor.
authors.affiliation: CORIA UMR 6614 - Normandie Université, CNRS - Université et INSA de Rouen, Campus Universitaire du Madrillet, F-76800 Saint-Etienne du Rouvray, France. Electronic address: Louise.Viger@coria.fr.
authors.forename: Louise
authors.initials: L
authors.lastname: Viger
authors.affiliation: Centre Jean Bernard, 9 rue Beauverger, 72000 Le Mans, France.
authors.forename: Fabrice
authors.initials: F
authors.lastname: Denis
authors.affiliation: CORIA UMR 6614 - Normandie Université, CNRS - Université et INSA de Rouen, Campus Universitaire du Madrillet, F-76800 Saint-Etienne du Rouvray, France.
authors.forename: Martin
authors.initials: M
authors.lastname: Rosalie
authors.affiliation: CORIA UMR 6614 - Normandie Université, CNRS - Université et INSA de Rouen, Campus Universitaire du Madrillet, F-76800 Saint-Etienne du Rouvray, France.
authors.forename: Christophe
authors.initials: C
authors.lastname: Letellier
mesh_terms: D042783:Endothelial Cells / Q000502:physiology; D006801:Humans; D007962:Leukocytes / Q000502:physiology; D008954:Models, Biological; D009362:Neoplasm Metastasis / Q000503:physiopathology*; D009369:Neoplasms / Q000503:physiopathology*; D009389:Neovascularization, Pathologic / Q000503:physiopathology*
keywords: Chaos; Endothelial cells; Mathematical model; Vascular tumor