Universal Asymptotic Clone Size Distribution for General Population Growth
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[1] E. Luebeck,et al. Evaluation of screening strategies for pre-malignant lesions using a biomathematical approach. , 2008, Mathematical biosciences.
[2] Lurias,et al. MUTATIONS OF BACTERIA FROM VIRUS SENSITIVITY TO VIRUS RESISTANCE’-’ , 2003 .
[3] H. M. Taylor,et al. An introduction to stochastic modeling , 1985 .
[4] W P Angerer,et al. An explicit representation of the Luria–Delbrück distribution , 2001, Journal of mathematical biology.
[5] Krishnendu Chatterjee,et al. Evolutionary dynamics of cancer in response to targeted combination therapy , 2013, eLife.
[6] P. A. P. Moran,et al. An introduction to probability theory , 1968 .
[7] L. Breuer. Introduction to Stochastic Processes , 2022, Statistical Methods for Climate Scientists.
[8] Daniel E. Geer,et al. Power. Law , 2012, IEEE Secur. Priv..
[9] D. Hudson. Interval Estimation from the Likelihood Function , 1971 .
[10] R. Durrett. Probability: Theory and Examples , 1993 .
[11] M. Nowak,et al. Distant Metastasis Occurs Late during the Genetic Evolution of Pancreatic Cancer , 2010, Nature.
[12] C. Tomasetti. On the Probability of Random Genetic Mutations for Various Types of Tumor Growth , 2012, Bulletin of mathematical biology.
[13] Daniel W. Lozier,et al. NIST Digital Library of Mathematical Functions , 2003, Annals of Mathematics and Artificial Intelligence.
[14] H. Simon,et al. ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS , 1955 .
[15] S. Lang. Complex Analysis , 1977 .
[16] Ronald F. Boisvert,et al. NIST Handbook of Mathematical Functions , 2010 .
[17] S. Karlin,et al. A second course in stochastic processes , 1981 .
[18] E G Luebeck,et al. A generalized Luria-Delbrück model. , 2005, Mathematical biosciences.
[19] Herbert Levine,et al. Scaling Solution in the Large Population Limit of the General Asymmetric Stochastic Luria–Delbrück Evolution Process , 2014, Journal of statistical physics.
[20] T. Antal,et al. Mutant number distribution in an exponentially growing population , 2014, 1410.3307.
[21] Joel L. Schiff,et al. The Laplace Transform , 1999 .
[22] Anup Dewanji,et al. Number and Size Distribution of Colorectal Adenomas under the Multistage Clonal Expansion Model of Cancer , 2011, PLoS Comput. Biol..
[23] J. Schiff. The Laplace Transform: Theory and Applications , 1999 .
[24] D. Kendall,et al. On some modes of population growth leading to R. A. Fisher's logarithmic series distribution. , 1948, Biometrika.
[25] M. E. J. Newman,et al. Power laws, Pareto distributions and Zipf's law , 2005 .
[26] S. Redner,et al. Organization of growing random networks. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.
[27] M. Meerschaert. Regular Variation in R k , 1988 .
[28] James D. Murray. Mathematical Biology: I. An Introduction , 2007 .
[29] Stefano Longhi. Spiral waves in optical parametric oscillators , 2001 .
[30] Philippe Flajolet,et al. Analytic Combinatorics , 2009 .
[31] S. Tavaré. The birth process with immigration, and the genealogical structure of large populations , 1987, Journal of mathematical biology.
[32] Pierre Baldi,et al. The fixed-size Luria-Delbruck model with a nonzero death rate. , 2007, Mathematical biosciences.
[33] Johannes G. Reiter,et al. The molecular evolution of acquired resistance to targeted EGFR blockade in colorectal cancers , 2012, Nature.
[34] B. Houchmandzadeh. General formulation of Luria-Delbrück distribution of the number of mutants , 2015, bioRxiv.
[35] P. Flajolet,et al. Analytic Combinatorics: RANDOM STRUCTURES , 2009 .
[36] J. Kiefer,et al. An Introduction to Stochastic Processes. , 1956 .
[37] N. Rashevsky,et al. Mathematical biology , 1961, Connecticut medicine.
[38] William Feller,et al. An Introduction to Probability Theory and Its Applications , 1951 .
[39] Kenneth Dixon,et al. Introduction to Stochastic Modeling , 2011 .
[40] Peter Nijkamp,et al. Accessibility of Cities in the Digital Economy , 2004, cond-mat/0412004.
[41] David R. Anderson,et al. Model Selection and Inference: A Practical Information-Theoretic Approach , 2001 .
[42] Marc J. Williams,et al. Identification of neutral tumor evolution across cancer types , 2016, Nature Genetics.
[43] David A Kessler,et al. Resistance to chemotherapy: patient variability and cellular heterogeneity. , 2014, Cancer research.
[44] Mikko Alava,et al. Branching Processes , 2009, Encyclopedia of Complexity and Systems Science.
[45] C. A. Coulson,et al. The distribution of the numbers of mutants in bacterial populations , 1949, Journal of Genetics.
[46] M. Newman. Power laws, Pareto distributions and Zipf's law , 2005 .
[47] P. L. Krapivsky,et al. Exact solution of a two-type branching process: clone size distribution in cell division kinetics , 2009, 0908.0484.
[48] F. Michor,et al. Evolution of acquired resistance to anti-cancer therapy. , 2014, Journal of theoretical biology.
[49] Michael R. Frey,et al. An Introduction to Stochastic Modeling (2nd Ed.) , 1994 .
[50] C. Maley. The Evolutionary Dynamics of Cancer , 2000 .
[51] D. Kendall. Birth-and-death processes, and the theory of carcinogenesis , 1960 .
[52] Mark E. J. Newman,et al. Power-Law Distributions in Empirical Data , 2007, SIAM Rev..
[53] P. Krapivsky,et al. Exact solution of a two-type branching process: models of tumor progression , 2011, 1105.1157.
[54] Martin A Nowak,et al. Evolution of Resistance During Clonal Expansion , 2006, Genetics.
[55] Richard Durrett,et al. Evolution of Resistance and Progression to Disease during Clonal Expansion of Cancer , 2009 .
[56] Q Zheng,et al. Progress of a half century in the study of the Luria-Delbrück distribution. , 1999, Mathematical biosciences.
[57] Martin A Nowak,et al. Timing and heterogeneity of mutations associated with drug resistance in metastatic cancers , 2014, Proceedings of the National Academy of Sciences.
[58] Marco Zaider,et al. A stochastic model for the sizes of detectable metastases. , 2006, Journal of theoretical biology.
[59] A. R. Whiting. X-ray induced visible mutations in Habrobracon oocytes. , 1963, Genetics.