Correction: Unbiased estimation of mutation rates under fluctuating final counts (PLoS ONE (2014) 9:7 (e101434) DOI: 10.1371/journal.pone.0101434);Unbiased estimation of mutation rates under fluctuating final counts

PLoS ONE

Volumn 9, Issue 7, 2014, Pages

  Ycart, Bernard ^a,b   Veziris, Nicolas ^c,d,e,f  

^a UNIV GRENOBLE ALPES   (France)

^b Laboratoire d'Excellence Toulouse Cancer TOUCAN   (France)

^c SORBONNE UNIVERSITÉ   (France)

^d Assistance publique Hôpitaux de Paris   (France)

^e PITIÉ SALPÊTRIÈRE HOSPITAL   (France)

^f Veterinary Dentistry and Oral Surgery   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL ERROR; ARTICLE; CELL COUNT; CELLULAR DISTRIBUTION; CONFIDENCE INTERVAL; CONTROLLED STUDY; FLUCTUATION ANALYSIS; KERNEL METHOD; MAXIMUM LIKELIHOOD METHOD; MONTE CARLO METHOD; MUTATION RATE; MYCOBACTERIUM TUBERCULOSIS; NONHUMAN; PROBLEM SOLVING; STATISTICAL ANALYSIS; STATISTICAL BIAS; UNBIASED ESTIMATION; BIOLOGICAL MODEL; COMPUTER SIMULATION; GENETICS; HUMAN; MICROBIOLOGY; PROBABILITY; TUBERCULOSIS;

COMPUTER SIMULATION; HUMANS; MODELS, GENETIC; MONTE CARLO METHOD; MUTATION RATE; MYCOBACTERIUM TUBERCULOSIS; PROBABILITY; TUBERCULOSIS;

EID: 84903773495     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0173143     Document Type: Erratum

References (38)

1. Luria DE, Delbrück M (1943) Mutations of bacteria from virus sensitivity to virus resistance. Genetics 28: 491-511.
2. Kendal WS, Frost P (1988) Pitfalls and practice of Luria-Delbrück fluctuation analysis: a review. Cancer Res 48: 1060-1065. (Pubitemid 18075507)
3. Stewart FM, Gordon DM, Levin BR (1990) Fluctuation analysis: the probability distribution of the number of mutants under different conditions. Genetics 124: 175-185. (Pubitemid 20028492)
4. Stewart FM (1994) Fluctuation tests: how reliable are the estimates of mutation rates? Genetics 137: 1139-1146.
5. Foster PL (2006) Methods for determining spontaneous mutation rates. Methods Enzymol 409: 195-213.
6. Pope CF, O'Sullivan DM, McHugh TD, Gillespie SH (2008) A practical guide to measuring mutation rates in antibiotic resistance. Antimicrob Agents Chemother 52: 1209-1214. (Pubitemid 351521978)
7. Jin JL, Wei G, Yang WQ, Zhang HQ, Gao PJ (2012) Discussion on research methods of bacterial resistant mutation mechanisms under selective cultureuncertainty analysis of data from the Luria-Delbrück fluctuation experiment. Science China, Life sciences 55: 1007-1021.
8. Sarkar S, Ma WT, v H Sandri G (1992) On fluctuation analysis: a new, simple and efficient method for computing the expected number of mutants. Genetica 85: 173-179.
9. Jones ME (1994) Luria-Delbrück fluctuation experiments; accounting simultaneously for plating efficiency and differential growth rate. J Theo Biol 166: 355-363.
10. Jaeger G, Sarkar S (1995) On the distribution of bacterial mutants: the effects of differential fitness of mutants and non-mutants. Genetica 96: 217-223.
11. Zheng Q (2002) Statistical and algorithmic methods for fluctuation analysis with SALVADOR as an implementation. Math Biosci 176: 237-252.
12. Zheng Q (2005) New algorithms for Luria-Delbrück fluctuation analysis. Math Biosci 196: 198-214.
13. Gerrish PJ (2008) A simple formula for obtaining markedly improved mutation rates estimates. Genetics 180: 1773-1778.
14. Hamon A, Ycart B (2012) Statistics for the Luria-Delbrück distribution. Elect J Statist 6: 1251-1272.
15. Ycart B (2013) Fluctuation analysis: can estimates be trusted? PLoS One 8: e80958.
16. Koutsoumanis KP, Lianou A (2013) Stochasticity in colonial growth dynamics of individual bacterial cells. Appl Environ Microbiol 79: 2294-2301.
17. David HL (1970) Probability distribution of drug-resistant mutants in unselected populations of Mycobacterium tuberculosis. Appl Microbiol 20: 810-814.
18. de la Iglesia F, Martínez F, Hillung J, Cuevas JM, Gerrish PJ, et al. (2012) Luria-Delbrück estimation of turnip mosaic virus mutation rate in vivo. J Virol 86: 3386-3388.
19. Angerer WP (2001) An explicit representation of the Luria-Delbrück distribution. J Math Biol 42: 145-174.
20. Komarova NL, Wu L, Baldi P (2007) The fixed-size Luria-Delbrück model with a nonzero death rate. Math Biosci 210: 253-290. (Pubitemid 47562483)
21. Werngren J, Hoffner SE (2003) Drug susceptible Mycobacterium tuberculosis Beijing genotype does not develop motation-conferred resistance to Rifampin at an elevated rate. J Clin Microbiol 41: 1520-1524. (Pubitemid 36428098)
22. R Development Core Team (2008) R: A Language and Environment for Statistical Computing.R Foundation for Statistical Computing, Vienna, Austria. URL http://www.R-project.org. ISBN 3-900051-07-0.
23. Lea DE, Coulson CA (1949) The distribution of the number of mutants in bacterial populations. J Genetics 49: 264-285.
24. Tan WY (1982) On distribution theories for the number of mutants in cell populations. SIAM J Appl Math 42: 719-730.
25. Dewanji A, Luebeck EG, Moolgavkar SH (2005) A generalized Luria-Delbrück model. Math Biosci 197: 140-152.
26. Ycart B (2014) Fluctuation analysis with cell deaths. J Appl Probab Statist 9: 12-28.
27. Ford CB, Shah RR, Maeda MK, Gagneux S, Murray MB, et al. (2013) Mycobacterium tuberculosis mutation rate estimates from different lineages predict substantial differences in the emergence of drug-resistant tuberculosis. Nature Genetics 45: 784-790.
28. Fu J, Li IC, Chu EHY (1982) The parameters for quantitative analysis of mutation rates with cultured mammalian somatic cells. Mut Research 105: 363-370. (Pubitemid 12030796)
29. Wasserman L (2004) All of statistics: a concise course in statistical inference. Springer, New York.
30. Dyke P (2001) An introduction to Laplace transforms and Fourier series. Springer, London.
31. Ma WT, v H Sandri G, Sarkar S (1992) Analysis of the Luria-Delbrück distribution using discrete convolution powers. J Appl Probab 29: 255-267.
32. Jones ME, Wheldrake J, Rogers A (1993) Luria-Delbrück fluctuation analysis: estimating the Poisson parameter in a compound Poisson distribution. Comput Biol Med 23: 525-534. (Pubitemid 23361050)
33. Hall BM, Ma C, Liang P, Singh KK (2009) Fluctuation Analysis CalculatOR (FALCOR): a web tool for the determination of mutation rate using Luria-Delbrück fluctuation analysis. Bioinformatics 25: 1564-1565.
34. Sarkar S (1991) Haldane's solution of the Luria-Delbrück distribution. Genetics 127: 257-261.
35. Zheng Q (2007) On Haldane's formulation of the Luria-Delbrück mutation model. Math Biosci 209: 237-252.
36. Gupta NK, Mehra RK (1974) Computational aspects of maximum likelihood: estimation and reduction in sensitivity function calculations. IEEE Trans Automatic Control 19: 774-783.
37. nd edition.
38. Kelly CD, Rahn O (1932) The growth rate of individual bacterial cells. J Bacteriol 23: 147-153.