title: A numerical solution to the nonhomogeneous two-stage MVK model of cancer.
abstract: In this article, we describe a straightforward method for solving the probability of at least one malignant cell by time t, and the associated hazard function, in the general (i.e., nonhomogeneous) two-stage Moolgavkar-Venzon-Knudson (MVK) model of cancer. The method consists of solving four coupled ordinary differential equations derived from the Kolmogorov backward equations for this process. The relationship of this method to previously proposed solutions is discussed.
authors.affiliation: Environ Corporation, USA. kcrump@environcorp.com
authors.forename: Kenny S
authors.initials: KS
authors.lastname: Crump
authors.forename: Ravi P
authors.initials: RP
authors.lastname: Subramaniam
authors.forename: Cynthia B
authors.initials: CB
authors.lastname: Van Landingham
mesh_terms: D002471:Cell Transformation, Neoplastic; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D015233:Models, Statistical; D009369:Neoplasms / Q000209:etiology* / Q000473:pathology; D011336:Probability; D016016:Proportional Hazards Models; D018570:Risk Assessment; D013269:Stochastic Processes