Multiscale estimation of cell kinetics

References

• Abate , J. and Whitt , W. 1992 . The Fourier-series method for inverting transforms of probability distributions . Queueing Syst. , 10 ( 1 ) : 5 – 88 .
   Google Scholar
• Abramoff , M.D. , Magelhaes , P.J. and Ram , S.J. 2004 . Image processing with ImageJ . Biophotonics Int. , 11 ( 7 ) : 36 – 42 .
   Google Scholar
• Armitage , P. 1952 . The statistical theory of bacterial populations subject to mutations . J. Royal Statist. Soc. B , 14 : 41
   Google Scholar
• Asher , E. , Payne , C.M. and Bernstein , C. 1995 . Evaluation of cell death in EBV-transformed lymphocytes using agarose gel electrophoresis, light microscopy and electron microscopy. II. Induction of non-classic apoptosis (‘para-apoptosis’) by tritiated thymidine . Leuk. Lymphoma Res. , 19 : 107 – 119 .
   PubMed Web of Science ®Google Scholar
• Beresford , M.J. , Wilson , G.D. and Makris , A. 2006 . Measuring proliferation in breast cancer: Practicalities and applications . Breast Cancer Res. , 8 : 216
   PubMed Web of Science ®Google Scholar
• Campbell , H.A. , Pitot , H.C. , Potter , V.R. and Laishes , B.A. 1982 . Application of quantitative stereology to the evaluation of enzyme altered foci in rat liver . Cancer Res. , 42 : 465 – 472 .
   PubMed Web of Science ®Google Scholar
• Dewanji , A. , Venzon , D.J. and Moolgavkar , S.H. 1989 . A stochastic two-stage model for cancer risk assessment. II. The number and size of premalignant clones . Risk Anal. , 9 ( 2 ) : 179 – 187 .
   Google Scholar
• Dewanji , A. , Luebeck , E.G. and Moolgavkar , S.H. 2005 . A generalized Luria–Delbrück model . Math. Biosci. , 197 : 140 – 152 .
   Google Scholar
• Elston , C.W. and Ellis , I.O. 1991 . Pathological prognostic factors in breast cancer. I. The value of histological grade in breast cancer: Experience from a large study with long-term follow-up . Histopathology , 19 : 403 – 410 .
   PubMed Web of Science ®Google Scholar
• Fullman , R.L. 1953 . Measurement of particle sizes in opaque bodies . J. Metals , 5 : 447 – 452 .
   Google Scholar
• Genest , P. and Villeneuve , A. 1971 . Lithium and mitotic index . Lancet , 2 ( 7737 ) : 1325
   Google Scholar
• Gratzner , H.G. 1982 . Monoclonal antibody to 5-bromo- and 5-iododeoxyuridine: A new reagent for detection of DNA replication . Science , 218 : 474 – 475 .
   PubMed Web of Science ®Google Scholar
• Lea , D.E. and Coulson , C.A. 1949 . The distribution of the numbers of mutants in bacterial populations . J. Genet. , 49 : 264 – 285 .
   PubMed Web of Science ®Google Scholar
• Luebeck , E.G. and Moolgavkar , S.H. 1991 . Stochastic analysis of intermediate lesions in carcinogenesis experiments . Risk Anal. , 11 ( 1 ) : 149 – 157 .
   Google Scholar
• Luebeck , E.G. , Moolgavkar , S.H. , Buchmann , A. and Schwarz , M. 1991 . Effects of polychlorinated biphenyls in rat liver: Quantitative analysis of enzyme-altered foci . Toxicol. Appl. Pharmacol. , 111 ( 3 ) : 469 – 484 .
   Google Scholar
• Luebeck , E.G. , Buchmann , A. , Stinchcombe , S. , Moolgavkar , S.H. and Schwarz , M. 2000 . Effects of 2,3,7,8-tetrachlorodibenzo-p-dioxin on initiation and promotion of GST-P-positive foci in rat liver: A quantitative analysis of experimental data using a stochastic model . Toxicol. Appl. Pharmacol. , 167 ( 1 ) : 63 – 73 .
   PubMedGoogle Scholar
• Luria , S.E. and Delbrück , M. 1943 . Mutations of bacteria from virus sensitivity to virus resistance . Genetics , 28 : 491 – 511 .
   PubMedGoogle Scholar
• Macallan , D.C. , Fullerton , C.A. , Neese , R.A. , Haddock , K. , Part , S.S. and Hellerstein , M.K. 1998 . Measurement of cell proliferation by labeling of DNA with stable isotope-labeled glucose: Studies in vitro, in animals, and in humans . Proc. Natl Acad. Sci. USA , 95 : 708 – 713 .
   PubMed Web of Science ®Google Scholar
• Merlo , L.M.F. , Pepper , J.W. , Reid , B.J. and Maley , C.C. 2006 . Cancer as an evolutionary and ecological process . Nature , 6 : 924 – 935 .
   Google Scholar
• Meza , R. , Luebeck , E.G. and Moolgavkar , S.H. 2005 . Gestational mutations and carcinogenesis . Math. Biosci. , 197 ( 2 ) : 188
   Google Scholar
• Nowell , P.C. 1976 . The clonal evolution of tumor cell populations . Science , 194 : 23 – 28 .
   PubMed Web of Science ®Google Scholar
• Parzen , E. 1962 . Stochastic Processes , Holden-day Series in Probability and Statistics San Francisco : Holden-Day Inc .
   Google Scholar
• W.S. Rasband, ImageJ, US National Institutes of Health, Bethesda, MD, USA. Available at http://rsb.info.nih.gov/ij/, 1997–2008
   Google Scholar
• Rocha , B. , Penit , G. , Baron , C. , Vasseur , F. , Dautigney , N. and Freitas , A.A. 1990 . Accumulation of bromodeoxyuridine-labeled cells in central and peripheral lymphoid organs: Minimal estimates of production and turnover rates of mature lymphocytes . Eur. J. Immunol. , 20 : 1697 – 1708 .
   Google Scholar
• Saltykov , S.A. 1967 . “ The determination of the size distribution of particles in an opaque material from measurement of the size distribution of their sections ” . In Stereology , Proc. Second Int. Cong. for Stereology 163 New York : Springer-Verlag .
   Google Scholar
• Sarkar , S. 1991 . Haldane's solution of the Luria–Delbrück distribution . J. Genet. , 127 : 257
   Google Scholar
• Sklarew , R.J. , Hoffman , J. and Post , J. 1977 . A rapid in vitro method for measuring cell proliferation in human breast cancer . Cancer , 40 : 2299 – 2302 .
   Google Scholar
• Taupin , P. 2007 . BrdU immunohistochemistry for studying adult neurogenesis: Paradigms, pitfalls, limitations, and validation . Brain Res. Rev. , 53 ( 1 ) : 198 – 214 .
   PubMedGoogle Scholar
• Waldman , F.M. , Chew , K. , Ljung , B.M. , Goodson , W. , Hom , J. , Duarte , L.A. , Smith , H.S. and Mayall , B. 1991 . A comparison between bromodeoxyuridine and 3H thymidine labeling in human breast tumors . Mod. Pathol. , 4 : 718 – 722 .
   PubMed Web of Science ®Google Scholar
• Zheng , Q. 1999 . Progress of half century in the study of the Luria–Delbrück distribution . Math. Biosci. , 162 : 1 – 32 .
   PubMed Web of Science ®Google Scholar
• Zheng , Q. 2007 . On Haldane's formulation of Luria and Delbrück's mutation model . Math. Biosci. , 209 : 500 – 513 .
   Google Scholar
• Zygmund , A. 1988 . Trigonometric Series , 2nd ed. , Cambridge : Cambridge University Press .
   Google Scholar