Mathematical models for estimating mutation rates in cell populations
Abstract
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.
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Some unicellular organisms entering the stationary phase activate SOS-induced DNA polymerases and start to accumulate mutations that increase their fitness under conditions of nutrient depletion.
“it is known, however, that some unicellular organisms entering the stationary phase activate SOS-induced DNA polymerases and start to accumulate mutations that increase their fitness under conditions of nutrient depletion [14-16].”
From Efficient, robust, and versatile fluctuation data analysis using MLE MUtation Rate calculator (mlemur) (2023) · cites this paper as [16]
Cites
Parzen, E. (1999) · doi:10.1137/1.9781611971125 · Cited by 1,389 · see citing works
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Statistical and algorithmic methods for fluctuation analysis with SALVADOR as an implementation
Zheng, Q. (2002) · Mathematical Biosciences · doi:10.1016/s0025-5564(02)00087-1 · Cited by 70 · see citing works
On Haldane’s formulation of Luria and Delbrück’s mutation model.
Zheng, Q. (2007) · Mathematical Biosciences · doi:10.1016/j.mbs.2007.03.003 · Cited by 19 · see citing works
Łazowski, K. (2023) · Mutation Research - Fundamental and Molecular Mechanisms of Mutagenesis · doi:10.1016/j.mrfmmm.2023.111816 · Cited by 10 · see citing works
- Authors
- CRUMP, K. S., & HOEL, D. G.
- Affiliations
- Louisiana Tech University (US)
- National Institute of Environmental Health Sciences (US)
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1974
- Volume
- 61
- Issue
- 2
- Pages
- 237-252
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W1992838975
- Cited by
- 44
- References
- 1
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 1 · 2023: 5 · 2022: 1 · 2016: 1 · 2015: 3 · 2014: 1 · 2013: 2 · 2012: 2
- FWCI
- 0.34
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- mutation rate estimation, cell populations, filtered Poisson process, clonal selection, stochastic population models
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