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Biometrika 1974 61(2):237-252; doi:10.1093/biomet/61.2.237
© 1974 by Biometrika Trust
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Mathematical models for estimating mutation rates in cell populations

KENNY S. CRUMP1 and DAVID G. HOEL2

1Department of Mathematics, Louisiana Tech University Ruston
2National Institute of Environmental Health Sciences Research Triangle Park, North Carolina

A number of mathematical models for cell populations in which mutations are occurring are studied and compared by viewing the models as filtered Poisson processes. Based upon these models, a statistical analysis is given of the mutant accumulation method of estimating mutation rates. Phenotypic delay, that is delay from the epoch at which a cell mutates until cells in resulting clone possess the property which distinguishes them from nonmutant cells, is incorporated into the models and its effect upon some estimation procedures is determined. A suggestion is also given for obtaining information about the duration of phenotypic delay.

Key Words: Cell population • Estimating mutation rate • Filtered Poisson process • Phenotypic delay


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