57 Miller J H. Spontaneous mutation in bacteria: Insights into pathways and repair. Annu Rev Microbiol, 1996, 50: 625-643？？
[24]
58 Lewis R W, Taber A.S. Bacterial resistance to antimicrobials. 2nd ed. New York: CRC Press/Taylor and Francis Group, 2008
[25]
59 金建玲, 高培基. 选择条件下细菌突变的研究. 自然, 2002, 27: 320-323
[26]
60 Gregory J M, Reuben S H, Petter L L, et al. The SOS response regulates adaptive mutation. Proc Natl Acad Sci USA, 2000, 97: 6646-6651 ？？
[27]
61 Chiang Chin-Long, Poisson process: In An Intruduction to Stochastic Processes and their Applications. New York: Robert E. Krieger Publishing Co., 1980. 184-186
[28]
62 陈希孺. 机会的数学. 北京: 清华大学出版社, 2000
[29]
63 Jin J L, Gao P J, Mao Y M. Occurrence of leu+ revertants under starvation cultures in Escherichia coli is growth-dependent.BMC Genetics, 2002, 3: 6
[30]
1 薛京伦. 表观遗传学. 上海: 上海科技出版社, 2006
[31]
2 Luria S E, Delbrück M. Mutations of bacteria from virus sensitivity to virus resistance. Genetics, 1943, 28: 491-511
[32]
3 Newcombe H B. Origin of bacterial variants. Nature, 1949, 164: 150-151？？
[33]
4 Lederberg J, Lenderberg E M. Replica plating and indirect selection of bacteria mutants. J Bacteriol, 1952, 63: 399-405
[34]
5 Demerce M. Origin of bacterial resistance to antibiotics. J Bacteriol, 1948, 56: 63-74
[35]
6 Cairns J, Overbaugh J, Miller S. The origin of mutants. Nature, 1988, 335: 142-145？？
[36]
7 Foster P L. Are adaptive mutations due to a decline in mismatch repair? The evidence is lacking. Mutat Res, 1999, 436: 179-184？？
[37]
8 Crump K S, Hoel D G. Mathematical models for estimating mutation rates in cell populations. Biometrika, 1974, 61: 237-237？？
[38]
9 刘垂玗. 微生物突变率的估计. 中国科学B, 1983, 7: 625-633
[39]
10 Tlsty T D, Margolin B H, Lum K. Differences in the rates of gene amplification in nontumorigenic and tumorigenic cell lines as measured by Luria-Delbrück fluctuation analysis. Proc Natl Acad Sci USA, 1989, 86: 9441-9445？？
[40]
11 Sahotra S. Haldane’s solution of the Luria-Delbriick distribution. Genetics, 1991, 1217: 257-261
[41]
12 Jones M E, Thomas S M, Rogers A. Luria-Delbrück fluctuation experiments: Design and analysis. Genetics, 1994, 136: 1209-1216
[42]
13 Stewart F M. Fluctuation tests: How reliable are the estimates of mutation rates? Genetics, 1994, 137: 1139-1146
[43]
14 Rosche W A, Foster P L. Determing mutation rates in bacterial population. Methods, 2000, 20: 4-17？？
[44]
15 Kepler T B. Improved inference of mutation rates: I. an integral representation for the Luria-Delbrück distribution. Theor Popul Biol, 2001, 59: 41-48？？
[45]
16 Angerer W P. An explicit representation of the Luria-Delbrück distribution. Math Biol, 2001, 42: 145-174？？
[46]
17 Zheng Q. Statistical and algorithmic methods for fluctuation analysis with SALVADOR as an implementation. Math Biol, 2002, 176: 237-252
[47]
18 Zheng Q. New algorithms for Luria-Delbrück fluctuation analysis. Math Biol, 2005, 196: 198-214
[48]
19 Zheng Q. On Haldane’s formulation of Luria and Delbrück’s mutational model. Math Biosci, 2007, 209: 237-252
[49]
20 Dewanji A, Luebeck E G, Moolgavkar S H. A generalized Luria-Delbrück model. Math Biosci, 2005, 197: 140-152？？
[50]
21 Zheng Q. On Haldane’s formulation of Luria and Delbrück’s mutation model. Math Biosci, 2007, 209: 500-513？？
[51]
22 Hall B M, Ma C X, Liang P, et al. Fluctuation anaLysis calculator: A web tool for the determination of mutation rate using Luria-Delbrück fluctuation analysis. Bioinformatics, 2009, 25: 1564-1565？？
[52]
23 Wax R G, Lewis K, Salyers A A, et al. Bacterial Resistance to Antimicrobials. 2nd ed. New York: CRC Press, 2007
[53]
24 Mortelmans K, Zeiger E. The Ames Salmonella/microsome mutagenicity assay. Mutat Res, 2000, 455: 29-60 ？？
26 Ferenci T. Growth of bacterial cultures 50 years on: Towards an uncertainty principle instead of constants in bacterial growth kinetics. Res Microbiol, 1999, 150: 431-443？？
[56]
27 Thattai M, Oudenaarden A. Stochastic gene expression in fluctuation experiments. Genetics, 2004, 167: 523-530？？
[57]
28 Waldor M K, Friedman D L, Adhya S L. Phages: Their Role in Bacterial Phathogenesis and Biotechnology. Washington: ASM press, 2005
[58]
29 Mantzaris N V. Stochastic and deterministic simulations of heterogeneous cell population dynamics. J Theor Biol, 2006, 241: 690-706？？
[59]
30 Wax R G, Levis K, Salyers A A, et al. Bacterial Resistance to Antibiotics. 2nd ed. New York: CRC press, 2008
[60]
31 Kohanski M A, Owyer D J, Hayeto B, et al. A common mechanism of cellular death induced by bactericidal antibiotics. Cell, 2007,130: 797-810？？
[61]
32 Trindade S, Perfiito L, Gordo I. Rate and effects of spontaneous mutations that affect fitness in mutator E. coli. Phil Trans R Soc B, 2010, 305: 1177-1186
34 Liu Y Q, Zhang Y Z, Sun C Y, et al. A novel approach to estimate in vitro antibacterial potency of Chinese medicine using a concentration-killing curve method. Am J Chin Med, 2005, 33: 671-682？？
