title: Modeling tumor growth.
abstract: The meaning and limitations of certain mathematical models of tumor growth are discussed, and some new derivations of the existing models are given. A theoretical justification for Gompertz's law of growth for tumors is presented. An age-dependent Von Bertalanffy's equation and diffusion models are introduced, and existence and uniqueness problems are addressed.
authors.affiliation: Department of Mathematics, Statistics and Computer Sciences, University of Illinois, Chicago 60680.
authors.forename: C P
authors.initials: CP
authors.lastname: Calderón
authors.forename: T A
authors.initials: TA
authors.lastname: Kwembe
mesh_terms: D000818:Animals; D002455:Cell Division; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009362:Neoplasm Metastasis; D009369:Neoplasms / Q000473:pathology*; D009374:Neoplasms, Experimental / Q000473:pathology