title: Statistical mechanics model of angiogenic tumor growth.
abstract: We examine a lattice model of tumor growth where the survival of tumor cells depends on the supplied nutrients. When such a supply is random, the extinction of tumors belongs to the directed percolation universality class. However, when the supply is correlated with the distribution of tumor cells, which as we suggest might mimic the angiogenic growth, the extinction shows different critical behavior. Such a correlation affects also the morphology of the growing tumors and drastically raises tumor-survival probability.
authors.affiliation: Departamento de Fisica and I3N, Universidade de Aveiro, 3810-193 Aveiro, Portugal.
authors.forename: António Luis
authors.initials: AL
authors.lastname: Ferreira
authors.forename: Dorota
authors.initials: D
authors.lastname: Lipowska
authors.forename: Adam
authors.initials: A
authors.lastname: Lipowski
mesh_terms: D000818:Animals; D049108:Cell Enlargement; D003198:Computer Simulation; D006801:Humans; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000150:complications / Q000473:pathology* / Q000503:physiopathology*; D009389:Neovascularization, Pathologic / Q000150:complications / Q000473:pathology* / Q000503:physiopathology*