title: Quantitative analysis of two-dimensional observations of premalignant clones in the presence or absence of malignant tumors.
abstract: Based on a two-mutation model for carcinogenesis the mathematical theory is developed which is needed for the quantitative analysis of premalignant clones induced by specific carcinogens. In particular, the article deals with the situation where additional knowledge about the presence or absence of malignant tumors in the tissue of interest is available. The main difficulty arises from the fact that the data on premalignant clones are as a rule obtained from observation of a two-dimensional plane section of the tissue, so that the model needs to be translated from three dimensions into two before it is applicable to the data.
authors.affiliation: Department of Mathematics, Free University of Amsterdam, Netherlands.
authors.forename: M C
authors.initials: MC
authors.lastname: De Gunst
authors.forename: E G
authors.initials: EG
authors.lastname: Luebeck
mesh_terms: D000818:Animals; D002273:Carcinogens / Q000633:toxicity; D006801:Humans; D008433:Mathematics; D015233:Models, Statistical; D009369:Neoplasms / Q000473:pathology*; D009374:Neoplasms, Experimental / Q000473:pathology*; D011230:Precancerous Conditions / Q000139:chemically induced / Q000473:pathology*; D011336:Probability
chemical_list: D002273:Carcinogens