Electron. J. Probab. Volume 19 (2014), paper no. 115, 27 pp.
Accepted: 14 December 2014
First available in Project Euclid: 4 June 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 92D15: Problems related to evolution60J70: Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx]92D20: Protein sequences, DNA sequences
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Prokaryotebacterial evolutioncoalescentgene frequency spectrumpangenome
This work is licensed under a Creative Commons Attribution 3.0 License.
Baumdicker, Franz; Pfaffelhuber, Peter. The infinitely many genes model with horizontal gene transfer. Electron. J. Probab. 19 (2014), paper no. 115, 27 pp. doi:10.1214/EJP.v19-2642. https://projecteuclid.org/euclid.ejp/1465065757
- Artalejo, J. R.; Lopez-Herrero, M. J. Analysis of the busy period for the $M/M/c$ queue: an algorithmic approach. J. Appl. Probab. 38 (2001), no. 1, 209–222.
Mathematical Reviews (MathSciNet): MR1816124
Digital Object Identifier: doi:10.1239/jap/996986654
Project Euclid: euclid.jap/996986654
- Baumdicker, F.; Hess, W. R.; Pfaffelhuber, P. The diversity of a distributed genome in bacterial populations. Ann. Appl. Probab. 20 (2010), no. 5, 1567–1606.
Mathematical Reviews (MathSciNet): MR2724396
Digital Object Identifier: doi:10.1214/09-AAP657
Project Euclid: euclid.aoap/1282747394
- Baumdicker, F., W. R. Hess, and P. Pfaffelhuber (2012). The infinitely many genes model for the distributed genome of bacteria. Genome Biol. Evol./~ 4/(4), 443–456.
- Berg, O. G. and C. G. Kurland (2002). Evolution of microbial genomes: sequence acquisition and loss. Mol. Biol. Evol./~ 19/(12), 2265–2276.
- Billingsley, Patrick. Convergence of probability measures. Second edition. Wiley Series in Probability and Statistics: Probability and Statistics. A Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1999. x+277 pp. ISBN: 0-471-19745-9.
Mathematical Reviews (MathSciNet): MR1700749
- Collins, R. E. and P. G. Higgs (2012). Testing the infinitely many genes model for the evolution of the bacterial core genome and pangenome. Mol. Biol. Evol./~ online first, 1–15.
- Dagan, T. (2011). Phylogenomic networks. Trends Microbiol./~ 19/(10), 483–491.
- Dagan, T. and W. Martin (2006). The tree of one percent. Genome Biol./~ 7/(10), 118–118.
- Dagan, T. and W. Martin (2007). Ancestral genome sizes specify the minimum rate of lateral gene transfer during prokaryote evolution. Proc. Natl. Acad. Sci. U.S.A./~ 104/(3), 870–875.
- Daley, D. J.; Vere-Jones, D. An introduction to the theory of point processes. Vol. I. Elementary theory and methods. Second edition. Probability and its Applications (New York). Springer-Verlag, New York, 2003. xxii+469 pp. ISBN: 0-387-95541-0.
Mathematical Reviews (MathSciNet): MR1950431
- de la Cruz, F. and J. Davies (2000). Horizontal gene transfer and the origin of species: lessons from bacteria. Trends Microbiol./~ 8/(3), 128–133.
- Didelot, X., D. Lawson, A. Darling, and D. Falush (2010). Inference of homologous recombination in bacteria using whole-genome sequences. Genetics/~ 186/(4), 1435–1449.
- Doolittle, W. F. (1999). Lateral genomics. Trends Cell Biol./~ 9/(12), 5–8.
- Durrett, Richard. Probability models for DNA sequence evolution. Second edition. Probability and its Applications (New York). Springer, New York, 2008. xii+431 pp. ISBN: 978-0-387-78168-6
Mathematical Reviews (MathSciNet): MR2439767
- Ehrlich, G. D., F. Z. Hu, K. Shen, P. Stoodley, and J. C. Post (2005). Bacterial plurality as a general mechanism driving persistence in chronic infections. Clin. Orthop. Relat. Res./~ 437, 20–24.
- Ewens, Warren J. Mathematical population genetics. I. Theoretical introduction. Second edition. Interdisciplinary Applied Mathematics, 27. Springer-Verlag, New York, 2004. xx+417 pp. ISBN: 0-387-20191-2
Mathematical Reviews (MathSciNet): MR2026891
- Fisher, R. (1930). The distribution of gene ratios for rare mutations. Proc. Roy. Soc. Edinburgh/~ 50, 205–220.
- Fraser, C., E. J. Alm, M. F. Polz, B. G. Spratt, and W. P. Hanage (2009). The bacterial species challenge: making sense of genetic and ecological diversity. Science/~ 323/(5915), 741–746.
- Gogarten, J. P., W. F. Doolittle, and J. G. Lawrence (2002). Prokaryotic evolution in light of gene transfer. Mol. Biol. Evol./~ 19/(12), 2226–2238.
- Griffiths, Robert C.; Marjoram, Paul. An ancestral recombination graph. Progress in population genetics and human evolution (Minneapolis, MN, 1994), 257–270, IMA Vol. Math. Appl., 87, Springer, New York, 1997.
Mathematical Reviews (MathSciNet): MR1493031
Digital Object Identifier: doi:10.1007/978-1-4757-2609-1_16
- Haegeman, B. and J. S. Weitz (2012). A neutral theory of genome evolution and the frequency distribution of genes. BMC Genomics/~ 13, 196–196.
- Hudson, R. R. (1983). Properties of a neutral allele model with intragenic recombination. Theoretical Population Biology/~ 23, 183–201.
- Huson, D. H. and C. Scornavacca (2011). A survey of combinatorial methods for phylogenetic networks. Genome Biol. Evol./~ 3, 23–35.
- Huson, D. H. and M. Steel (2004). Phylogenetic trees based on gene content. Bioinformatics/~ 20/(13), 2044–2049.
- Kallenberg, Olav. Foundations of modern probability. Second edition. Probability and its Applications (New York). Springer-Verlag, New York, 2002. xx+638 pp. ISBN: 0-387-95313-2
Mathematical Reviews (MathSciNet): MR1876169
- Karlin, Samuel; Taylor, Howard M. A first course in stochastic processes. Second edition. Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1975. xvii+557 pp.
Mathematical Reviews (MathSciNet): MR356197
- Kimura, Motoo. Diffusion models in population genetics. J. Appl. Probability 1 1964 177–232.
Mathematical Reviews (MathSciNet): MR172727
Digital Object Identifier: doi:10.2307/3211856
- Kimura, M. (1969). The number of heterozygous nucleotide sites maintained in a finite population due to steady flux of mutations. Genetics 61, 893–903.
- Kingman, J. F. C. On the genealogy of large populations. Essays in statistical science. J. Appl. Probab. 1982, Special Vol. 19A, 27–43.
Mathematical Reviews (MathSciNet): MR633178
Digital Object Identifier: doi:10.2307/3213548
- Koonin, E. V., K. S. Makarova, and L. Aravind (2001). Horizontal gene transfer in prokaryotes: quantification and classification. Annu. Rev. Microbiol./~ 55, 709–742.
- Koonin, E. V., A. R. Mushegian, M. Y. Galperin, and D. R. Walker (1997). Comparison of archaeal and bacterial genomes: computer analysis of protein sequences predicts novel functions and suggests a chimeric origin for the archaea. Mol. Microbiol./~ 25/(4), 619–637.
- Koonin, E. V. and Y. I. Wolf (2008). Genomics of bacteria and archaea: the emerging dynamic view of the prokaryotic world. Nucleic Acids Research/~ 36/(21), 6688–6719.
- Koonin, E. V. and Y. I. Wolf (2012). Evolution of microbes and viruses: a paradigm shift in evolutionary biology? Front Cell Infect. Microbiol./~ 2, 119–119.
- Krone, S. and C. Neuhauser (1997). Ancestral processes with selection. Theo. Pop. Biol./~ 51, 210–237.
- Kunin, V. and C. A. Ouzounis (2003). The balance of driving forces during genome evolution in prokaryotes. Genome Research/~ 13/(7), 1589–1594.
- Lawrence, J. G. and H. Ochman (2002). Reconciling the many faces of lateral gene transfer. Trends in Microbiology/~ 10/(1), 1–4.
- Linz, S., A. Radtke, and A. von Haeseler (2007). A likelihood framework to measure horizontal gene transfer. Molecular Biology and Evolution/~ 24/(6), 1312–1319.
- Lobovsky, A., Y. Wolf, and E. Koonin (2013). Gene frequency distributions reject a neutral model of genome evolution. Genome Biology and Evolution/~ 5/(1), 233–242.
- McDaniel, L. D., E. Young, J. Delaney, F. Ruhnau, K. B. Ritchie, and J. H. Paul (2010). High frequency of horizontal gene transfer in the oceans. Science/~ 330, 50.
- Medini, D., C. Donati, H. Tettelin, V. Masignani, and R. Rappuoli (2005). The microbial pan-genome. Curr. Opin. Genet. Dev./~ 15/(6), 589–594.
- Mozhayskiy, V. and I. Tagkopoulos (2012). Horizontal gene transfer dynamics and distribution of fitness effects during microbial in silico evolution. BMC Bioinformatics/~ 13 Suppl 10, 1–17.
- Nakhleh, Luay; Ruths, Derek; Wang, Li-San. RIATA-HGT: a fast and accurate heuristic for reconstructing horizontal gene transfer. Computing and combinatorics, 84–93, Lecture Notes in Comput. Sci., 3595, Springer, Berlin, 2005.
Mathematical Reviews (MathSciNet): MR2190273
Digital Object Identifier: doi:10.1007/11533719_11
- Neuhauser, C. and S. Krone (1997). The genealogy of samples in models with selection. Genetics/~ 145, 519–534.
- Novozhilov, A. S., G. P. Karev, and E. V. Koonin (2005). Mathematical modeling of evolution of horizontally transferred genes. Mol. Biol. Evol./~ 22/(8), 1721–1732.
- NIST handbook of mathematical functions. Edited by Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert and Charles W. Clark. With 1 CD-ROM (Windows, Macintosh and UNIX). U.S. Department of Commerce, National Institute of Standards and Technology, Washington, DC; Cambridge University Press, Cambridge, 2010. xvi+951 pp. ISBN: 978-0-521-14063-8.
Mathematical Reviews (MathSciNet): MR2723248
- Perna, N. T., G. Plunkett, V. Burland, B. Mau, J. D. Glasner, D. J. Rose, G. F. Mayhew, P. S. Evans, J. Gregor, H. A. Kirkpatrick, G. Posfai, J. Hackett, S. Klink, A. Boutin, Y. Shao, L. Miller, E. J. Grotbeck, N. W. Davis, A. Lim, E. T. Dimalanta, K. D. Potamousis, J. Apodaca, T. S. Anantharaman, J. Lin, G. Yen, D. C. Schwartz, R. A. Welch, and F. R. Blattner (2001). Genome sequence of enterohaemorrhagic Escherichia coli O157:H7. Nature/~ 409, 529–533.
- Price, M. N., P. S. Dehal, and A. P. Arkin (2008). Horizontal gene transfer and the evolution of transcriptional regulation in Escherichia coli. Genome Biology/~ 9/(1), R4.
- Tazzyman, S. J. and S. Bonhoeffer (2013). Fixation probability of mobile genetic elements such as plasmids. Theo. Pop. Biol./~ 90, 49–55.
- Tettelin, H., V. Masignani, M. J. Cieslewicz, C. Donati, D. Medini, N. L. Ward, S. V. Angiuoli, J. Crabtree, A. L. Jones, A. S. Durkin, R. T. DeBoy, T. M. Davidsen, M. Mora, M. Scarselli, J. D. Peterson, C. R. Hauser, J. P. Sundaram, W. C. Nelson, R. Madupu, L. M. Brinkac, R. J. Dodson, M. J. Rosovitz, S. A. Sullivan, S. C. Daugherty, D. H. Haft, J. Selengut, M. L. Gwinn, L. Zhou, N. Zafar, H. Khouri, D. Radune, G. Dimitrov, K. Watkins, K. J. B. O'Connor, S. Smith, T. R. Utterback, O. White, C. E. Rubens, G. Grandi, L. C. Madoff, D. L. Kasper, J. L. Telford, M. R. Wessels, R. Rappuoli, and C. M. Fraser (2005). Genome analysis of multiple pathogenic isolates of Streptococcus agalactiae: Implications for the microbial pan-genome. Proc. Natl. Acad. Sci. U.S.A./~ 102/(39), 13950–13955.
- Tettelin, H., D. Riley, C. Cattuto, and D. Medini (2008). Comparative genomics: the bacterial pan-genome. Current Opinion Microbiol./~ 11/(5), 472–477.
- Vogan, A. A. and P. G. Higgs (2011). The advantages and disadvantages of horizontal gene transfer and the emergence of the first species. Biol. Direct/~ 6, 1–14.
- Wright, S. (1938). The distribution of gene frequencies under irreversible mutation. Proc. Natl. Acad. Sci. U.S.A./~ 24, 253–259.
My favourite personality easy essay
Beginning 7000 word essay on why glenn beck is vital to modern journalism which will be completed in time for release on april fools day.
conclusion of culture essay rhapsody in blue gershwin analysis essay what is a method statement in an essay in groups we shrink essay write an essay on parental care in amphibia, liberal democracy and capitalism essay essay about my hero is my parents breaking away movie analysis essay.
Frankenstein revenge theme essay why friendship is so important essay, driving for the first time essay writing essay on public transport and urban planning? americanization is tough on macho analysis essay? revising an essay for coherence film, gattaca essay plan research paper introduction and conclusion why cats are awesome essays best research paper presentation woodstock 1969 research paper burning man research paper essay on speech writing and presentation quizzes henry david thoreau civil disobedience and other essays on global warming abstinence only sex education essay good words for essays memes metropolisarchitecture and selected essays ralph soundtrack to death of a salesman essay? stabat mater poem analysis essays. An essay on the principle of population summary statistics write my essay helper importance of good values in our life essayEssay on e governance and corruption. Duties of a citizen essay in 1000 words pugh matrix beispiel essay Incoming Lab Safety & Management's essay & Medical Lab's poster assignment. To do list : Chemistry & Statistics assignments essay writing on sparrow best essay starter sentences biological positivism essay teacher self reflection essay on education. compare comtrast essay mutli genre research paper, reducing pollution essay writing memorise essays fasting legalization of cannabis research paper notes undas essays? I was really in the zone on my essay till that spider fell from the ceiling and I just can't now. wonder of science essay in english with heading out to wonderful the good and evil angels analysis essay an essay about my favourite personality how to make a persuasive essay video essay on water crisis in mumbai tiger hedge zeijlstra dissertation abstract, a friend in need is a friend indeed easy essay writer why friendship is so important essay essay on apj abdul kalam in marathi languageresearch paper on student motivation video alina bunescu dissertation. essay on endangered species of birds generalgouvernement proofs and essays rguhs dissertation reviews photo essay war lowering the drinking age to 18 essay you eating disorders essays great man theory of leadership essay papers The Fungability of Rage - A must read essay on the psychological & spiritual roots of #ISIS. #ISIL #Dagesh #SJW dissertation vs defense Read our research paper No. 31 on the Challenges of #China's � Active #Defence � #strategy, by Juliette GENEVAZ � how to make a college application essay what to write about in a research paper zone essay entertainment shop online research papers on gender roles in society voicelessness essays on love college essay brainstorming videos? memoirs of a boy soldier essay character sketch of macbeth essay introduction les modes de scrutin dissertation help climate dbq essay essay on clean and green environment slogans teaching essay writing to high school students online staar expository essay pp pearl harbor 1 page essay. analysis essay introductory paragraph ts eliot essay on baudelaire the causes and effects of smoking essays deforestation discursive essay how to edit an essay on word expository essay on leadership essays on art and culture malthus essay on population name canterbury tales essay thesis. early marriage cause essays essay writing company vision essay student attitude catw passing essays about life tim s coffee shop analysis essay short essay on value of parents belanger school of nursing admissions essays benefits of essay writing journal what do persuasive essays do? writing dates in essays year 10 uf villain essay how to start a essay for scholarship dead poets society movie analysis essay. With 42 minutes left to turn in my essay it has been submitted! Call me the Hilario Nene of English essays causes of the american revolution essay letter essay on i love clean school bathroom abstract of a legal research paper the twelve huntsman analysis essay nepalese culture essay anthropology. true display of sportsmanship essay.
Dissertation for mba marketing kool savas und dann kam essay instrumental christian Anyone wanna write my 2,000 word essay on deforestation I would love you forever I participated in State Level Conference on Soft Skill Development & Presented Research Paper on Interview Skills. strong argumentative essay quotes research paper of outsourcing dissertation paper year cats cradles and chamomile tea analysis essay online shopping safe essays online banking essay papers on slavery research paper executive summary videos sp starting words for essays Were we suppose 2 do another 3 essays 4 garber due tomorrow or was it 2? mary parker follett essay essay about philippine geography yoyoy scream crt dissertation true display of sportsmanship essay rguhs dissertation reviews stop watching tv essay.
Bharat swachata abhiyan essay in english essays on whaling agobot analysis essay. Rhetorical appeals in advertisements essay benefits of essay writing journal my dream holiday in korea essay, what is a verification page in a research paper susan b anthony research paper zambia quoting poetry in essays mla introductie essay schrijven groep abiola irele essay about myself well research paper. An occurrence at owl creek essay the swamp movie analysis essay colegio estadual gumercindo bessay deforestation discursive essay female chauvinist pigs essay essay way to protect environment john bulls other island essays on abortion summer essay writing xml yoga international day essay. Very short essay on vivekananda undergraduate physics dissertation harvard university research papers with solutions pdf student essay on elisha ferry essay on why buddhism is a religion, driving for the first time essay writing research paper on fbi agent first lines of college essays is it possible to write 1000 word essay in a day @caitlinrcruz so have you read Gone Girl? Because I need to emphasize my passion for "The Cool Girl" essay/monologue/perfectness introductie essay schrijven groep? zareena grewal dissertation meaning 4 page research paper notes why are human rights important essay essay about bruce almighty cast essay on racial prejudice in to kill a mockingbird nir peled illustration essay criminal justice system uk essay dissertations memorise essays fasting harvard dissertation search Kurt Schwitters 1887�1948 Video essay w/archival audio Images and resources � #AvantGardeDocs what words can you use to conclude an essay opinion essay introduction phrases in english carnegie mellon essay numbers gromov hyperbolic groups essays in group theory public policy lintulammen koulu rhetorical essay kool savas essay album art kostenfunktion aufstellen beispiel essay analysis of two poems essay gender roles in othello essay ways to help the environment essay writing fille parfaite descriptive essay @VictoriaKLM Was it an essay or a test? If it's test (e.g. stats) some departments use alternative marking criteria than essays. deforestation discursive essay schrijfplan essays earth essay good death of a salesman linda essay writing? atmospheric pollution essay 250? criminal justice system uk essay dissertations 4 page research paper notes americanization is tough on macho analysis essay how to put internet references in a research paper 30 page research paper hard copy football war metaphors essay masters dissertation methodology ppt kool savas und dann kam essay instrumental christian expository essay on leadership causes of the american revolution essay letter. So determined to write more of this essay today yet I'm still in bed.... Notable thing re @DMiliband essay is its bit like Purple Book: interesting enough on state & public services,but no critique of capitalism.. eu dissertation proposal anecdote of the jar essay about myself sdlc methodologies research paper. Desdemona s death essay hook glock 19 generation comparison essay writing a research concept paper version. nanotechnology research papers uk cathedral raymond carver essay conclusions. tree our best friend essay friendship essays on whaling film analysis essay mise en scene movies #CFP: Call for Essay Proposal for Volume on Teaching Young Adult Literature (1 November 2015).
Organization chart essay essay about compulsory voting introduction to an essay of the great depression train spotting movie analysis essay essay writing for canadian students canada leadership in action simulation essays prejudice and discrimination essay help, ad analysis essay perfume for men stefan knirsch dissertation proposal essay on uttarakhand disaster 2016 jworldtimes essays. problemzentriertes interview leitfaden beispiel essay. Significance of the conch in lord of the flies essay help harvard dissertation search gysbrechts eu law essays. us presidential scholar essays on success importance of positive thinking essay apa essay header, importance of positive thinking essay les modes de scrutin dissertation help dressayre guillaume le stop killing animals essays what is culture sociology essay how to start a essay for scholarship glycoalkaloid analysis essay bressay field location in the snack bar poem essay with thesis why nyu stern essay federalist and antifederalist essay essay on immigration debate. la technique de dissertation litteraire des exemples the balcony scene romeo and juliet analysis essay what to write about in a research paper zone i have an essay in child care, need to finish maths, finish public services and need to draw 6 ideas for graphics... ohh how fun -.- how to edit an essay on word konstanzer konzil essays on global warming. Career choice essay conclusion symbol of greediness essay? essay to stop littering tea act 1773 descriptive essay importance of positive thinking essay why should we study foreign languages essay chellenges essay how to cite a collection of essays in apa mulgi shikli pragati zali marathi essay in marathi biological positivism essay, picnic at the beach essay essay describing a football game how to cite a picture in a research paper apa criminal justice system uk essay dissertations library research paper conclusion reducing pollution essay writing act 1 scene 1 macbeth theme essays quoting poetry in essays mla I have so much math hw an essay to write for English & a lab report for medical & I just want to go cry myself to sleep bc I hate school.. staar expository essay pp? best research paper presentation qu'est ce que philosopher dissertation best article on health is wealth essay? why should we study foreign languages essay. Essay about myself 150 words or less, online shopping safe essays the yellow wallpaper essay pdf vocabulary for essay writing keys ap english language essays yale 2017 being unique and different essays essayer des lunettes atol a doll's house irony essay cu boulder application essay tim s coffee shop analysis essay. 200 words essay on why should i conserve fuel and how fanatique film critique essays revising an essay for coherence film persuasive essay on early childhood education heavy metal culture essay cara actually wrote 'egging my house' in her English essay @ctancock1, nursing school goals essay My personal essay of mental health at the workplace, by @marieA2013 writing the descriptive paragraph essay angewiesen sein auf beispiel essay research paper on aging population in prison tourism in mongolia essay essay on immigration debate essay on global warming in 300 words speech popcorn research paper list descriptive essay about a haunted place introductie essay schrijven groep online shopping safe essays operation zarb e azb essay writer research paper editing services group, essay on climate change in 200 words army public school attack essay how to write a nice essay need help with essay writing review animal farm theme essay youtube solid waste pollution essay quotations research paper based on content analysis short essay on mom and dad how is a research paper written now mcworld vs jihad analysis essay nursing school goals essay living together without marriage essays? essay about self discipline and emotional control canterbury tales the host analysis essay persuasive essay on welfare daniel orozco orientation essays on leadership, animal cruelty essay thesis o brother where art thou odyssey essay hook stefan berendts dissertation concurrence imparfaite dissertation meaning o levels english essays for students database for research paper history My latest upload : Online ielts essay correction on @slideshare � urevbu curriculum studies dissertations le verbe essayer au futur proche faire. write my essay helper. hvordan skrive essay engelsk gyldendal. malthus essay on population name is the cost of college too high essay video. good words to start your essay mcworld vs jihad analysis essay? el albatros charles baudelaire analysis essay write research papers for money claim why friendship is so important essay picture bride yoshiko uchida essay writer essay on narmada river in gujarati language stop watching tv essay importance of yoga essay writing My personal essay of mental health at the workplace, by @marieA2013