title: A statistical test of the hypothesis that polyclonal intestinal tumors arise by random collision of initiated clones.
abstract: The random collision hypothesis is a mathematical idealization of intestinal tumor formation that can account for the polyclonal origin of tumors without requiring a mechanistic description of clonal interaction. Using data from recent polyclonality studies in mice, we develop a statistical procedure to test the random collision hypothesis. Elements from stochastic geometry and approximations due to Armitage (1949, Biometrika 36, 257-266) support a statistical model of tumor count data. Bayesian analysis yields the posterior distribution of the number of heterotypic tumors, from which p-values are computed to test random collision.
authors.affiliation: Department of Statistics, University of Wisconsin-Madison, 1300 University Avenue, Madison, Wisconsin 53706, USA. newton@stat.wisc.edu
authors.forename: Michael A
authors.initials: MA
authors.lastname: Newton
authors.forename: Linda
authors.initials: L
authors.lastname: Clipson
authors.forename: Andrew T
authors.initials: AT
authors.lastname: Thliveris
authors.forename: Richard B
authors.initials: RB
authors.lastname: Halberg
mesh_terms: D000818:Animals; D001499:Bayes Theorem; D001699:Biometry; D002471:Cell Transformation, Neoplastic; D002999:Clone Cells / Q000473:pathology; D007414:Intestinal Neoplasms / Q000209:etiology* / Q000473:pathology; D051379:Mice; D008954:Models, Biological; D015233:Models, Statistical; D011237:Predictive Value of Tests