From Wikipedia, the free encyclopedia
(Redirected from Noah A. Rosenberg)
Noah A. Rosenberg
Alma mater Rice University
Spouse(s)Donna Zulman, MD
AwardsFellow of the American Association for the Advancement of Science
Scientific career
Fields Population genetics
Phylogenetics
Mathematical and theoretical biology
Thesis Statistical modeling of genetic histories and relationships of populations  (2001)
Doctoral advisor Marcus Feldman [1]
Website rosenberglab.stanford.edu

Noah Aubrey Rosenberg is a geneticist working in evolutionary biology, mathematical phylogenetics, and population genetics, and is the Stanford Professor of Population Genetics and Society. [2] His research focuses on mathematical modeling and statistical methods for genetics and evolution [3] and he is the editor-in-chief of Theoretical Population Biology. [4]

Education

Rosenberg graduated from the Illinois Mathematics and Science Academy in 1993, where he began the mathematical reference known as The Noah Sheets. [5] He earned a BA in mathematics from Rice University in 1997, where he scored among the top 100 students in the Putnam Competition. [6] Rosenberg earned an MS in mathematics from Stanford University in 1999 and a PhD in biology from Stanford University in 2001 under the supervision of Marcus Feldman. [7] His dissertation was titled "Statistical modeling of genetic histories and relationships of populations." [8] Part of his dissertation work was recognized as The Lancet's 2003 paper of the year. [9] From 2001 to 2005, Rosenberg was a postdoctoral fellow at the University of Southern California. [7]

Career

Rosenberg was a professor at the University of Michigan from 2005 to 2011, where he held appointments in the Department of Human Genetics, the Department of Ecology and Evolutionary Biology, and the Department of Biostatistics. He joined the Stanford University Department of Biology as an associate professor in 2011 and was promoted to full professor in 2014, when he was named the Stanford Professor of Population Genetics and Society. [2] He is a member of Stanford's Institute for Computational and Mathematical Engineering (ICME) and Stanford Bio-X. [10] [11] Rosenberg was elected as a fellow of the American Association for the Advancement of Science in 2018. [12]

Rosenberg has published more than 150 peer-reviewed articles and has advised more than 35 doctoral students and postdoctoral fellows. [6] His trainees have gone on to professorships at universities including Cornell University, [13] Duke University, [14] the MD Anderson Cancer Center, [15] and the University of Southern California. [16] [17]

Rosenberg has served as the editor-in-chief of the journal Theoretical Population Biology since 2013 [4] and has served as an associate editor for scientific journals including Genetics and Evolution, Medicine, and Public Health. [18] He is also a co-director of the Stanford Center for Computational, Evolutionary, and Human Genomics. [19] In 2018, Rosenberg started the Stanford X-Tree Project, a website illustrating concepts from phylogenetics using photographs of real trees from the Stanford campus. [20]

Research

Much of Rosenberg's work has analyzed global patterns of genetic and linguistic variation, [9] [21] [22] [23] including developing software for the analysis and visualization of population ancestry data. [24] [25][ non-primary source needed] He has also studied the genetic histories of specific people groups, such as the Ohlone Indigenous population of California, [26] African Americans, [27] and Jewish populations. [28]

Rosenberg's work in forensic genetics has explored the implications of imputation techniques for genetic privacy. [29] [30] His work in coalescent theory has characterized the effects of consanguinity, [31] founder events, [32] and migration [33] on patterns of genetic variation. And his work in human genetics has investigated the implications of population history for association studies and polygenic scores. [34] [35]

Rosenberg has contributed to the understanding of mathematical properties of objects and quantities used in evolutionary biology. His work includes combinatorial enumeration of phylogenetic trees and coalescent histories, [36] [37] [38] [39] analysis of evolutionary models, [40] [41] [42] and derivation of mathematical bounds on population-genetic statistics. [43] [44] [45] He has also applied population-genetic statistics to other fields, such as his 2020 paper bridging health care efficiency research and population-genetic statistics which he co-authored with his wife, Donna Zulman. [46]

Rosenberg is a regular contributor to the On-Line Encyclopedia of Integer Sequences. [47] [48] [49]

References

  1. ^ Noah Rosenberg at the Mathematics Genealogy Project
  2. ^ a b "People | Center for Computational, Evolutionary and Human Genomics (CEHG)". cehg.stanford.edu. Retrieved 2023-11-01.
  3. ^ University, Stanford (2020-06-01). "Where mathematics and biology meet". Stanford News. Retrieved 2023-11-02.
  4. ^ a b "Theoretical Population Biology Editorial Board". Elsevier. Retrieved 2018-04-26.
  5. ^ The Noah Sheets
  6. ^ a b "Noah Rosenberg CV" (PDF).
  7. ^ a b "Noah Rosenberg's Profile | Stanford Profiles". profiles.stanford.edu. Retrieved 2023-11-02.
  8. ^ Rosenberg, Noah Aubrey (2001). Statistical modeling of genetic histories and relationships of populations (Thesis). OCLC  81533899. ProQuest  304727329.[ page needed][ non-primary source needed]
  9. ^ a b Horton, Richard (2003). "Read all about it: The Lancet 's Paper of the Year, 2003". The Lancet. 362 (9401): 2101–2103. doi: 10.1016/s0140-6736(03)15110-0. ISSN  0140-6736. PMC  7123340. PMID  14697815.
  10. ^ "Noah Rosenberg | Stanford Institute for Computational & Mathematical Engineering". profiles.stanford.edu. Retrieved 2023-11-02.
  11. ^ University, © Stanford; Stanford; California 94305 (2014-06-20). "Noah Rosenberg - Professor of Biology". Welcome to Bio-X. Retrieved 2023-11-02.{{ cite web}}: CS1 maint: numeric names: authors list ( link)
  12. ^ Korte, Andrea (27 November 2018). "AAAS Honors Accomplished Scientists as 2018 Elected Fellows". AAAS.
  13. ^ "Jaehee Kim". jaeheekimlab.github.io. Retrieved 2023-11-02.
  14. ^ "Amy Goldberg, PhD - People". www.goldberglab.org. Retrieved 2023-11-02.
  15. ^ "Scheet Lab". scheet.org. Retrieved 2023-11-02.
  16. ^ "Edge Lab - Team". edgepopgen.github.io. Retrieved 2023-11-02.
  17. ^ "Mooney Lab". mooney-lab.github.io. Retrieved 2023-11-02.
  18. ^ "Editorial Board". Evolution, Medicine, and Public Health. Retrieved 2023-11-02.
  19. ^ "Co-Directors | Center for Computational, Evolutionary and Human Genomics (CEHG)". cehg.stanford.edu. Retrieved 2023-11-02.
  20. ^ Prillaman, McKenzie (2021-12-07). "Stanford professor spotlights evolutionary tree concepts with campus trees". Stanford News. Retrieved 2023-11-02.
  21. ^ Brown, David (2008-02-22). "Genetic Mutations Offer Insights on Human Diversity". The Washington Post. ISSN  0190-8286. Retrieved 2023-11-02.
  22. ^ Balter, Michael (2011-09-23). "Tracing the Paths of the First Americans". Science. 333 (6050): 1692. Bibcode: 2011Sci...333.1692B. doi: 10.1126/science.333.6050.1692. ISSN  0036-8075.
  23. ^ Hunley, Keith (2015-02-17). "Reassessment of global gene–language coevolution". Proceedings of the National Academy of Sciences. 112 (7): 1919–1920. doi: 10.1073/pnas.1425000112. ISSN  0027-8424. PMC  4343119. PMID  25675520.
  24. ^ Rosenberg, Noah A. (2004). "distruct : a program for the graphical display of population structure". Molecular Ecology Notes. 4 (1): 137–138. doi: 10.1046/j.1471-8286.2003.00566.x.
  25. ^ Kopelman, Naama M.; Mayzel, Jonathan; Jakobsson, Mattias; Rosenberg, Noah A.; Mayrose, Itay (2015). "Clumpak : a program for identifying clustering modes and packaging population structure inferences across K". Molecular Ecology Resources. 15 (5): 1179–1191. doi: 10.1111/1755-0998.12387. PMC  4534335. PMID  25684545.
  26. ^ Imbler, Sabrina (12 April 2022). "New DNA Analysis Supports an Unrecognized Tribe's Ancient Roots in California". The New York Times.
  27. ^ MacCormick, Holly Alyssa (2023-07-10). "New genealogy method helps fill gaps in African American ancestry". Stanford News. Retrieved 2023-11-02.
  28. ^ Rosenberg, Noah A.; Weitzman, Steven P. (2013). "From Generation to Generation: The Genetics of Jewish Populations". Human Biology. 85 (6): 817–823. doi: 10.1353/hub.2013.a548063. Project MUSE  548063.[ non-primary source needed]
  29. ^ Collins, Nathan (2017-05-15). "Gene matches could aid science, but raise privacy concerns". Stanford News. Retrieved 2023-11-02.
  30. ^ Collins, Nathan (2018-10-17). "New way to find relatives from forensic DNA". Stanford News. Retrieved 2023-11-02.
  31. ^ Severson, Alissa L; Carmi, Shai; Rosenberg, Noah A (2019). "The Effect of Consanguinity on Between-Individual Identity-by-Descent Sharing". Genetics. 212 (1): 305–316. doi: 10.1534/genetics.119.302136. PMC  6499533. PMID  30926583.[ non-primary source needed]
  32. ^ DeGiorgio, Michael; Degnan, James H; Rosenberg, Noah A (2011). "Coalescence-Time Distributions in a Serial Founder Model of Human Evolutionary History". Genetics. 189 (2): 579–593. doi: 10.1534/genetics.111.129296. PMC  3189793. PMID  21775469.[ non-primary source needed]
  33. ^ Alcala, Nicolas; Goldberg, Amy; Ramakrishnan, Uma; Rosenberg, Noah A (2019). Heyer, Evelyne (ed.). "Coalescent Theory of Migration Network Motifs". Molecular Biology and Evolution. 36 (10): 2358–2374. doi: 10.1093/molbev/msz136. PMC  6759081. PMID  31165149.[ non-primary source needed]
  34. ^ Edge, Michael D.; Gorroochurn, Prakash; Rosenberg, Noah A. (2013). "Windfalls and pitfalls". Evolution, Medicine, and Public Health. 2013 (1): 254–272. doi: 10.1093/emph/eot021. ISSN  2050-6201. PMC  3868415. PMID  24481204.[ non-primary source needed]
  35. ^ Rosenberg, Noah A; Edge, Michael D; Pritchard, Jonathan K; Feldman, Marcus W (2019-01-01). "Interpreting polygenic scores, polygenic adaptation, and human phenotypic differences". Evolution, Medicine, and Public Health. 2019 (1): 26–34. doi: 10.1093/emph/eoy036. PMC  6393779. PMID  30838127.[ non-primary source needed]
  36. ^ Rosenberg, Noah A. (2007). "Counting Coalescent Histories". Journal of Computational Biology. 14 (3): 360–377. doi: 10.1089/cmb.2006.0109. hdl: 2027.42/63175. PMID  17563317.[ non-primary source needed]
  37. ^ Rosenberg, Noah A.; Degnan, James H. (2010). "Coalescent histories for discordant gene trees and species trees". Theoretical Population Biology. 77 (3): 145–151. doi: 10.1016/j.tpb.2009.12.004. PMID  20064540.[ non-primary source needed]
  38. ^ Disanto, Filippo; Rosenberg, Noah A. (2015). "Coalescent Histories for Lodgepole Species Trees". Journal of Computational Biology. 22 (10): 918–929. arXiv: 1503.03560. doi: 10.1089/cmb.2015.0015. PMID  25973633.[ non-primary source needed]
  39. ^ Rosenberg, Noah A. (2019). "Enumeration of lonely pairs of gene trees and species trees by means of antipodal cherries". Advances in Applied Mathematics. 102: 1–17. doi: 10.1016/j.aam.2018.09.001. PMC  6456302. PMID  30983650.[ non-primary source needed]
  40. ^ Rosenberg, Noah A. (2006). "The Mean and Variance of the Numbers of r-Pronged Nodes and r-Caterpillars in Yule-Generated Genealogical Trees". Annals of Combinatorics. 10 (1): 129–146. doi: 10.1007/s00026-006-0278-6. S2CID  2484974.[ non-primary source needed]
  41. ^ Mehta, Rohan S.; Bryant, David; Rosenberg, Noah A. (2016). "The probability of monophyly of a sample of gene lineages on a species tree". Proceedings of the National Academy of Sciences. 113 (29): 8002–8009. Bibcode: 2016PNAS..113.8002M. doi: 10.1073/pnas.1601074113. PMC  4961160. PMID  27432988.[ non-primary source needed]
  42. ^ Disanto, Filippo; Fuchs, Michael; Paningbatan, Ariel R.; Rosenberg, Noah A. (2022). "The distributions under two species-tree models of the number of root ancestral configurations for matching gene trees and species trees". The Annals of Applied Probability. 32 (6): 4426–4458. arXiv: 2006.09106. doi: 10.1214/22-AAP1791.[ non-primary source needed]
  43. ^ Edge, Michael D.; Rosenberg, Noah A. (2014). "Upper bounds on FST in terms of the frequency of the most frequent allele and total homozygosity: The case of a specified number of alleles". Theoretical Population Biology. 97: 20–34. doi: 10.1016/j.tpb.2014.08.001. PMC  4180022. PMID  25132646.[ non-primary source needed]
  44. ^ Alcala, Nicolas; Rosenberg, Noah A (2017). "Mathematical Constraints on F ST: Biallelic Markers in Arbitrarily Many Populations". Genetics. 206 (3): 1581–1600. doi: 10.1534/genetics.116.199141. ISSN  1943-2631. PMC  5500152. PMID  28476869.[ non-primary source needed]
  45. ^ Morrison, Maike L.; Rosenberg, Noah A. (2023). "Mathematical bounds on Shannon entropy given the abundance of the ith most abundant taxon". Journal of Mathematical Biology. 87 (5): 76. doi: 10.1007/s00285-023-01997-3. PMC  10603011. PMID  37884812.[ non-primary source needed]
  46. ^ Armitage, Hanae (2020-02-13). "Formula for an "aha" moment: Pair up with your spouse". Scope. Retrieved 2023-11-02.
  47. ^ "A354690 - OEIS". oeis.org. Retrieved 2023-11-02.
  48. ^ "A355108 - OEIS". oeis.org. Retrieved 2023-11-02.
  49. ^ "A354970 - OEIS". oeis.org. Retrieved 2023-11-02.

External links

From Wikipedia, the free encyclopedia
(Redirected from Noah A. Rosenberg)
Noah A. Rosenberg
Alma mater Rice University
Spouse(s)Donna Zulman, MD
AwardsFellow of the American Association for the Advancement of Science
Scientific career
Fields Population genetics
Phylogenetics
Mathematical and theoretical biology
Thesis Statistical modeling of genetic histories and relationships of populations  (2001)
Doctoral advisor Marcus Feldman [1]
Website rosenberglab.stanford.edu

Noah Aubrey Rosenberg is a geneticist working in evolutionary biology, mathematical phylogenetics, and population genetics, and is the Stanford Professor of Population Genetics and Society. [2] His research focuses on mathematical modeling and statistical methods for genetics and evolution [3] and he is the editor-in-chief of Theoretical Population Biology. [4]

Education

Rosenberg graduated from the Illinois Mathematics and Science Academy in 1993, where he began the mathematical reference known as The Noah Sheets. [5] He earned a BA in mathematics from Rice University in 1997, where he scored among the top 100 students in the Putnam Competition. [6] Rosenberg earned an MS in mathematics from Stanford University in 1999 and a PhD in biology from Stanford University in 2001 under the supervision of Marcus Feldman. [7] His dissertation was titled "Statistical modeling of genetic histories and relationships of populations." [8] Part of his dissertation work was recognized as The Lancet's 2003 paper of the year. [9] From 2001 to 2005, Rosenberg was a postdoctoral fellow at the University of Southern California. [7]

Career

Rosenberg was a professor at the University of Michigan from 2005 to 2011, where he held appointments in the Department of Human Genetics, the Department of Ecology and Evolutionary Biology, and the Department of Biostatistics. He joined the Stanford University Department of Biology as an associate professor in 2011 and was promoted to full professor in 2014, when he was named the Stanford Professor of Population Genetics and Society. [2] He is a member of Stanford's Institute for Computational and Mathematical Engineering (ICME) and Stanford Bio-X. [10] [11] Rosenberg was elected as a fellow of the American Association for the Advancement of Science in 2018. [12]

Rosenberg has published more than 150 peer-reviewed articles and has advised more than 35 doctoral students and postdoctoral fellows. [6] His trainees have gone on to professorships at universities including Cornell University, [13] Duke University, [14] the MD Anderson Cancer Center, [15] and the University of Southern California. [16] [17]

Rosenberg has served as the editor-in-chief of the journal Theoretical Population Biology since 2013 [4] and has served as an associate editor for scientific journals including Genetics and Evolution, Medicine, and Public Health. [18] He is also a co-director of the Stanford Center for Computational, Evolutionary, and Human Genomics. [19] In 2018, Rosenberg started the Stanford X-Tree Project, a website illustrating concepts from phylogenetics using photographs of real trees from the Stanford campus. [20]

Research

Much of Rosenberg's work has analyzed global patterns of genetic and linguistic variation, [9] [21] [22] [23] including developing software for the analysis and visualization of population ancestry data. [24] [25][ non-primary source needed] He has also studied the genetic histories of specific people groups, such as the Ohlone Indigenous population of California, [26] African Americans, [27] and Jewish populations. [28]

Rosenberg's work in forensic genetics has explored the implications of imputation techniques for genetic privacy. [29] [30] His work in coalescent theory has characterized the effects of consanguinity, [31] founder events, [32] and migration [33] on patterns of genetic variation. And his work in human genetics has investigated the implications of population history for association studies and polygenic scores. [34] [35]

Rosenberg has contributed to the understanding of mathematical properties of objects and quantities used in evolutionary biology. His work includes combinatorial enumeration of phylogenetic trees and coalescent histories, [36] [37] [38] [39] analysis of evolutionary models, [40] [41] [42] and derivation of mathematical bounds on population-genetic statistics. [43] [44] [45] He has also applied population-genetic statistics to other fields, such as his 2020 paper bridging health care efficiency research and population-genetic statistics which he co-authored with his wife, Donna Zulman. [46]

Rosenberg is a regular contributor to the On-Line Encyclopedia of Integer Sequences. [47] [48] [49]

References

  1. ^ Noah Rosenberg at the Mathematics Genealogy Project
  2. ^ a b "People | Center for Computational, Evolutionary and Human Genomics (CEHG)". cehg.stanford.edu. Retrieved 2023-11-01.
  3. ^ University, Stanford (2020-06-01). "Where mathematics and biology meet". Stanford News. Retrieved 2023-11-02.
  4. ^ a b "Theoretical Population Biology Editorial Board". Elsevier. Retrieved 2018-04-26.
  5. ^ The Noah Sheets
  6. ^ a b "Noah Rosenberg CV" (PDF).
  7. ^ a b "Noah Rosenberg's Profile | Stanford Profiles". profiles.stanford.edu. Retrieved 2023-11-02.
  8. ^ Rosenberg, Noah Aubrey (2001). Statistical modeling of genetic histories and relationships of populations (Thesis). OCLC  81533899. ProQuest  304727329.[ page needed][ non-primary source needed]
  9. ^ a b Horton, Richard (2003). "Read all about it: The Lancet 's Paper of the Year, 2003". The Lancet. 362 (9401): 2101–2103. doi: 10.1016/s0140-6736(03)15110-0. ISSN  0140-6736. PMC  7123340. PMID  14697815.
  10. ^ "Noah Rosenberg | Stanford Institute for Computational & Mathematical Engineering". profiles.stanford.edu. Retrieved 2023-11-02.
  11. ^ University, © Stanford; Stanford; California 94305 (2014-06-20). "Noah Rosenberg - Professor of Biology". Welcome to Bio-X. Retrieved 2023-11-02.{{ cite web}}: CS1 maint: numeric names: authors list ( link)
  12. ^ Korte, Andrea (27 November 2018). "AAAS Honors Accomplished Scientists as 2018 Elected Fellows". AAAS.
  13. ^ "Jaehee Kim". jaeheekimlab.github.io. Retrieved 2023-11-02.
  14. ^ "Amy Goldberg, PhD - People". www.goldberglab.org. Retrieved 2023-11-02.
  15. ^ "Scheet Lab". scheet.org. Retrieved 2023-11-02.
  16. ^ "Edge Lab - Team". edgepopgen.github.io. Retrieved 2023-11-02.
  17. ^ "Mooney Lab". mooney-lab.github.io. Retrieved 2023-11-02.
  18. ^ "Editorial Board". Evolution, Medicine, and Public Health. Retrieved 2023-11-02.
  19. ^ "Co-Directors | Center for Computational, Evolutionary and Human Genomics (CEHG)". cehg.stanford.edu. Retrieved 2023-11-02.
  20. ^ Prillaman, McKenzie (2021-12-07). "Stanford professor spotlights evolutionary tree concepts with campus trees". Stanford News. Retrieved 2023-11-02.
  21. ^ Brown, David (2008-02-22). "Genetic Mutations Offer Insights on Human Diversity". The Washington Post. ISSN  0190-8286. Retrieved 2023-11-02.
  22. ^ Balter, Michael (2011-09-23). "Tracing the Paths of the First Americans". Science. 333 (6050): 1692. Bibcode: 2011Sci...333.1692B. doi: 10.1126/science.333.6050.1692. ISSN  0036-8075.
  23. ^ Hunley, Keith (2015-02-17). "Reassessment of global gene–language coevolution". Proceedings of the National Academy of Sciences. 112 (7): 1919–1920. doi: 10.1073/pnas.1425000112. ISSN  0027-8424. PMC  4343119. PMID  25675520.
  24. ^ Rosenberg, Noah A. (2004). "distruct : a program for the graphical display of population structure". Molecular Ecology Notes. 4 (1): 137–138. doi: 10.1046/j.1471-8286.2003.00566.x.
  25. ^ Kopelman, Naama M.; Mayzel, Jonathan; Jakobsson, Mattias; Rosenberg, Noah A.; Mayrose, Itay (2015). "Clumpak : a program for identifying clustering modes and packaging population structure inferences across K". Molecular Ecology Resources. 15 (5): 1179–1191. doi: 10.1111/1755-0998.12387. PMC  4534335. PMID  25684545.
  26. ^ Imbler, Sabrina (12 April 2022). "New DNA Analysis Supports an Unrecognized Tribe's Ancient Roots in California". The New York Times.
  27. ^ MacCormick, Holly Alyssa (2023-07-10). "New genealogy method helps fill gaps in African American ancestry". Stanford News. Retrieved 2023-11-02.
  28. ^ Rosenberg, Noah A.; Weitzman, Steven P. (2013). "From Generation to Generation: The Genetics of Jewish Populations". Human Biology. 85 (6): 817–823. doi: 10.1353/hub.2013.a548063. Project MUSE  548063.[ non-primary source needed]
  29. ^ Collins, Nathan (2017-05-15). "Gene matches could aid science, but raise privacy concerns". Stanford News. Retrieved 2023-11-02.
  30. ^ Collins, Nathan (2018-10-17). "New way to find relatives from forensic DNA". Stanford News. Retrieved 2023-11-02.
  31. ^ Severson, Alissa L; Carmi, Shai; Rosenberg, Noah A (2019). "The Effect of Consanguinity on Between-Individual Identity-by-Descent Sharing". Genetics. 212 (1): 305–316. doi: 10.1534/genetics.119.302136. PMC  6499533. PMID  30926583.[ non-primary source needed]
  32. ^ DeGiorgio, Michael; Degnan, James H; Rosenberg, Noah A (2011). "Coalescence-Time Distributions in a Serial Founder Model of Human Evolutionary History". Genetics. 189 (2): 579–593. doi: 10.1534/genetics.111.129296. PMC  3189793. PMID  21775469.[ non-primary source needed]
  33. ^ Alcala, Nicolas; Goldberg, Amy; Ramakrishnan, Uma; Rosenberg, Noah A (2019). Heyer, Evelyne (ed.). "Coalescent Theory of Migration Network Motifs". Molecular Biology and Evolution. 36 (10): 2358–2374. doi: 10.1093/molbev/msz136. PMC  6759081. PMID  31165149.[ non-primary source needed]
  34. ^ Edge, Michael D.; Gorroochurn, Prakash; Rosenberg, Noah A. (2013). "Windfalls and pitfalls". Evolution, Medicine, and Public Health. 2013 (1): 254–272. doi: 10.1093/emph/eot021. ISSN  2050-6201. PMC  3868415. PMID  24481204.[ non-primary source needed]
  35. ^ Rosenberg, Noah A; Edge, Michael D; Pritchard, Jonathan K; Feldman, Marcus W (2019-01-01). "Interpreting polygenic scores, polygenic adaptation, and human phenotypic differences". Evolution, Medicine, and Public Health. 2019 (1): 26–34. doi: 10.1093/emph/eoy036. PMC  6393779. PMID  30838127.[ non-primary source needed]
  36. ^ Rosenberg, Noah A. (2007). "Counting Coalescent Histories". Journal of Computational Biology. 14 (3): 360–377. doi: 10.1089/cmb.2006.0109. hdl: 2027.42/63175. PMID  17563317.[ non-primary source needed]
  37. ^ Rosenberg, Noah A.; Degnan, James H. (2010). "Coalescent histories for discordant gene trees and species trees". Theoretical Population Biology. 77 (3): 145–151. doi: 10.1016/j.tpb.2009.12.004. PMID  20064540.[ non-primary source needed]
  38. ^ Disanto, Filippo; Rosenberg, Noah A. (2015). "Coalescent Histories for Lodgepole Species Trees". Journal of Computational Biology. 22 (10): 918–929. arXiv: 1503.03560. doi: 10.1089/cmb.2015.0015. PMID  25973633.[ non-primary source needed]
  39. ^ Rosenberg, Noah A. (2019). "Enumeration of lonely pairs of gene trees and species trees by means of antipodal cherries". Advances in Applied Mathematics. 102: 1–17. doi: 10.1016/j.aam.2018.09.001. PMC  6456302. PMID  30983650.[ non-primary source needed]
  40. ^ Rosenberg, Noah A. (2006). "The Mean and Variance of the Numbers of r-Pronged Nodes and r-Caterpillars in Yule-Generated Genealogical Trees". Annals of Combinatorics. 10 (1): 129–146. doi: 10.1007/s00026-006-0278-6. S2CID  2484974.[ non-primary source needed]
  41. ^ Mehta, Rohan S.; Bryant, David; Rosenberg, Noah A. (2016). "The probability of monophyly of a sample of gene lineages on a species tree". Proceedings of the National Academy of Sciences. 113 (29): 8002–8009. Bibcode: 2016PNAS..113.8002M. doi: 10.1073/pnas.1601074113. PMC  4961160. PMID  27432988.[ non-primary source needed]
  42. ^ Disanto, Filippo; Fuchs, Michael; Paningbatan, Ariel R.; Rosenberg, Noah A. (2022). "The distributions under two species-tree models of the number of root ancestral configurations for matching gene trees and species trees". The Annals of Applied Probability. 32 (6): 4426–4458. arXiv: 2006.09106. doi: 10.1214/22-AAP1791.[ non-primary source needed]
  43. ^ Edge, Michael D.; Rosenberg, Noah A. (2014). "Upper bounds on FST in terms of the frequency of the most frequent allele and total homozygosity: The case of a specified number of alleles". Theoretical Population Biology. 97: 20–34. doi: 10.1016/j.tpb.2014.08.001. PMC  4180022. PMID  25132646.[ non-primary source needed]
  44. ^ Alcala, Nicolas; Rosenberg, Noah A (2017). "Mathematical Constraints on F ST: Biallelic Markers in Arbitrarily Many Populations". Genetics. 206 (3): 1581–1600. doi: 10.1534/genetics.116.199141. ISSN  1943-2631. PMC  5500152. PMID  28476869.[ non-primary source needed]
  45. ^ Morrison, Maike L.; Rosenberg, Noah A. (2023). "Mathematical bounds on Shannon entropy given the abundance of the ith most abundant taxon". Journal of Mathematical Biology. 87 (5): 76. doi: 10.1007/s00285-023-01997-3. PMC  10603011. PMID  37884812.[ non-primary source needed]
  46. ^ Armitage, Hanae (2020-02-13). "Formula for an "aha" moment: Pair up with your spouse". Scope. Retrieved 2023-11-02.
  47. ^ "A354690 - OEIS". oeis.org. Retrieved 2023-11-02.
  48. ^ "A355108 - OEIS". oeis.org. Retrieved 2023-11-02.
  49. ^ "A354970 - OEIS". oeis.org. Retrieved 2023-11-02.

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