The DOI matches its Crossref record; 46 of the 46 references it cites were found in a registry or an index.
Topology of viral evolution
Open accessAbstract
Significance: Evolution is mediated not only by random mutations over a number of generations (vertical evolution), but also through the mixture of genomic material between individuals of different lineages (horizontal evolution). The standard evolutionary representation, the phylogenetic tree, faithfully represents the former but not the latter scenario. Although many elaborations have been developed to address this issue, there is still no agreed-upon method of incorporating both vertical and horizontal evolution. Here, we present an alternative strategy based on algebraic topology to study evolution. This method extends beyond the limits of a tree to capture directly even complex horizontal exchanges between multiple parental strains, as well as uncover broader reticulate patterns, including the segregation of segments during reassortment.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“In the case of strict clonal evolution, all information is captured by the zero-dimensional homology.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“However, the metric space produced by using the concatenated sequences did produce significant onedimensional homology, which would preclude phylogeny as a complete explanation.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“When each distinct segment was studied, there was no higher-dimensional behaviour.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“By performing persistent homological calculations on simulations, it was observed that a lower bound for the recombination/reassortment rate was obtained by studying the counts of the number of bars in the corresponding barcode.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“The type of exchange of genomic material can be catalogued by the topology of the genomic data.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“Persistent homology shows higher-dimensional homology groups capturing some of the complex recombinant structures.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“when analysing the homology of avian influenza A, it was shown that several segments, containing the genes that encode the polymerases, are more likely to co-segregate together”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
In the citing paper
“In the cases studied, these occurrences were consistent with the known horizontal transfer mechanisms in these situations.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Chan et al. (2013)
Citations
Cites
Application of Phylogenetic Networks in Evolutionary Studies
Huson, D. H., & Bryant, D. (2005) · Molecular Biology and Evolution · doi:10.1093/molbev/msj030 · Cited by 8,895
Wooding, S. (2004) · The American Journal of Human Genetics · doi:10.1086/383584 · Cited by 3,093
Human Infection with a Novel Avian-Origin Influenza A (H7N9) Virus
Gao, R., Cao, B., Hu, Y., Feng, Z., Wang, D., Hu, W., Chen, J., Jie, Z., Qiu, H., Xu, K., et al. (2013) · New England Journal of Medicine · doi:10.1056/nejmoa1304459 · Cited by 2,310
Phylogenetic Classification and the Universal Tree
Doolittle, W. F. (1999) · Science · doi:10.1126/science.284.5423.2124 · Cited by 1,888
Smith, J. M., Smith, N. H., O'Rourke, M., & Spratt, B. G. (1993) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.90.10.4384 · Cited by 1,802
Analyzing the mosaic structure of genes
Smith, J. (1992) · Journal of Molecular Evolution · doi:10.1007/bf00182389 · Cited by 1,630
Zomorodian, A., & Carlsson, G. (2005) · Discrete & Computational Geometry · doi:10.1007/s00454-004-1146-y · Cited by 1,591
Self-citationFouchier, R. A. M., Munster, V. J., Wallensten, A., Bestebroer, T. M., Herfst, S., Smith, D. J., Rimmelzwaan, G. F., Olsén, B., & Osterhaus, A. D. M. E. (2005) · Journal of Virology · doi:10.1128/jvi.79.5.2814-2822.2005 · Cited by 1,565
A Simple and Robust Statistical Test for Detecting the Presence of Recombination
Bruen, T. C., Philippe, H., & Bryant, D. (2006) · Genetics · doi:10.1534/genetics.105.048975 · Cited by 1,366
Drummond, A. J., Nicholls, G. K., Rodrigo, A. G., & Solomon, W. (2002) · Genetics · doi:10.1093/genetics/161.3.1307 · Cited by 1,059
Martin, D. P., Posada, D., Crandall, K. A., & Williamson, C. E. (2005) · AIDS Research and Human Retroviruses · doi:10.1089/aid.2005.21.98 · Cited by 866
Topological persistence and simplification
Edelsbrunner, H., Letscher, D., & Zomorodian, A. J. (2002) · Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.2000.892133 · Cited by 716
A Coalescent-Based Method for Detecting and Estimating Recombination From Gene Sequences
McVean, G., Awadalla, P., & Fearnhead, P. (2002) · Genetics · doi:10.1093/genetics/160.3.1231 · Cited by 708
The causes and consequences of HIV evolution
Rambaut, A., Posada, D., Crandall, K. A., & Holmes, E. C. (2004) · Nature Reviews Genetics · doi:10.1038/nrg1246 · Cited by 563
Dynamics of HIV-1 recombination in its natural target cells
Levy, D. N., Aldrovandi, G. M., Kutsch, O., & Shaw, G. M. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0306764101 · Cited by 437
Microevolution and virulence of dengue viruses
Rico-Hesse, R. (2003) · Advances in virus research · doi:10.1016/s0065-3527(03)59009-1 · Cited by 422
The Evolutionary Genetics and Emergence of Avian Influenza Viruses in Wild Birds
Dugan, V. G., Chen, R., Spiro, D. J., Sengamalay, N. A., Zaborsky, J., Ghedin, E., Nolting, J. M., Swayne, D. E., Runstadler, J. A., Happ, G. M., et al. (2008) · PLoS Pathogens · doi:10.1371/journal.ppat.1000076 · Cited by 398
Estimating the recombination parameter of a finite population model without selection
Hudson, R. R. (2007) · Genetics Research · doi:10.1017/s0016672308009610 · Cited by 391
Holmes, E. C., Ghedin, E., Miller, N., Taylor, J., Bào, Y., George, K. S., Grenfell, B. T., Salzberg, S. L., Fraser, C. M., Lipman, D. J., et al. (2005) · PLoS Biology · doi:10.1371/journal.pbio.0030300 · Cited by 363
Estimating the recombination parameter of a finite population model without selection
Hudson, R. R. (1987) · Genetics Research · doi:10.1017/s0016672300023776 · Cited by 357
Recombination in Evolutionary Genomics
Posada, D., Crandall, K. A., & Holmes, E. C. (2002) · Annual Review of Genetics · doi:10.1146/annurev.genet.36.040202.111115 · Cited by 307
Phylogenetic analysis reveals a low rate of homologous recombination in negative-sense RNA viruses
Chare, E. R., Gould, E. A., & Holmes, E. C. (2003) · Journal of General Virology · doi:10.1099/vir.0.19277-0 · Cited by 273
Widespread intra-serotype recombination in natural populations of dengue virus
Worobey, M., Rambaut, A., & Holmes, E. C. (1999) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.96.13.7352 · Cited by 259
Detecting recombination from gene trees
Smith, J. M., & Smith, N. H. (1998) · Molecular Biology and Evolution · doi:10.1093/oxfordjournals.molbev.a025960 · Cited by 250
Jakobsen, I. B., & Easteal, S. (1996) · Computer applications in the biosciences · doi:10.1093/bioinformatics/12.4.291 · Cited by 230
OPTIMAL, EFFICIENT RECONSTRUCTION OF PHYLOGENETIC NETWORKS WITH CONSTRAINED RECOMBINATION
Gusfield, D., Eddhu, S., & Langley, C. H. (2004) · Journal of Bioinformatics and Computational Biology · doi:10.1142/s0219720004000521 · Cited by 199
Using Consensus Networks to Visualize Contradictory Evidence for Species Phylogeny
Holland, B. R. (2004) · Molecular Biology and Evolution · doi:10.1093/molbev/msh145 · Cited by 165
Dual multiple change-point model leads to more accurate recombination detection
Minin, V. N., Dorman, K. S., Fang, F., & Suchard, M. A. (2005) · Computer applications in the biosciences · doi:10.1093/bioinformatics/bti459 · Cited by 149
Nora, T., Charpentier, C., Tenaillon, O., Hoede, C., Clavel, F., & Hance, A. J. (2007) · Journal of Virology · doi:10.1128/jvi.00083-07 · Cited by 140
Tolou, H. J., Couissinier‐Paris, P., Durand, J. P., Mercier, V., Pina, J.-J. D., de Micco, P., Billoir, F., Charrel, R. N., & de Lamballerie, X. N. (2001) · Journal of General Virology · doi:10.1099/0022-1317-82-6-1283 · Cited by 139
TOPAL 2.0: improved detection of mosaic sequences within multiple alignments
McGuire, G., & Wright, F. (2000) · Bioinformatics · doi:10.1093/bioinformatics/16.2.130 · Cited by 138
Evidence of intratypic recombination in natural populations of hepatitis C virus
Colina, R., Casañe, D., Vásquez, S., García, L., Chunga, A., Romero, H., Khan, B., & Cristina, J. (2004) · Journal of General Virology · doi:10.1099/vir.0.19472-0 · Cited by 136
A barcode shape descriptor for curve point cloud data
Collins, A., Zomorodian, A., Carlsson, G., & Guibas, L. J. (2004) · Computers & Graphics · doi:10.1016/j.cag.2004.08.015 · Cited by 132
Self-citationPhylogenetic Networks: Concepts, Algorithms and Applications
Kelk, S. M. (2011) · Systematic Biology · doi:10.1093/sysbio/syr054 · Cited by 108
Introduction to phylogenetic networks
Huson, D. H., Rupp, R., & Scornavacca, C. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511974076.006 · Cited by 106
Recombination in Hepatitis C Virus
Gónzález‐Candelas, F., López‐Labrador, F. X., & Bracho, M. A. (2011) · Viruses · doi:10.3390/v3102006 · Cited by 97
Nonranom association of parental genes in influenza A virus recombinants
Lubeck, M. D., Palese, P., & Schulman, J. L. (1979) · Virology · doi:10.1016/0042-6822(79)90430-6 · Cited by 94
Seeing the trees and their branches in the network is hard
Kanj, I. A., Nakhleh, L. K., Than, C. V., & Xia, G. (2008) · Theoretical Computer Science · doi:10.1016/j.tcs.2008.04.019 · Cited by 74
Fitch, W. M. (1997) · Journal of Molecular Evolution · doi:10.1007/pl00000059 · Cited by 74
van Iersel, L. J. J., Kelk, S. M., Rupp, R., & Huson, D. H. (2010) · Bioinformatics · doi:10.1093/bioinformatics/btq202 · Cited by 70
Estimating reassortment rates in co-circulating Eurasian swine influenza viruses
Lycett, S., Baillie, G. J., Coulter, E., Bhatt, S., Kellam, P., McCauley, J. W., Wood, J. L. N., Brown, I. H., Pybus, O. G., & Brown, A. (2012) · Journal of General Virology · doi:10.1099/vir.0.044503-0 · Cited by 52
Stochastic errors in DNA evolution and molecular phylogeny.
Nei, M. (1986) · PubMed · Cited by 46
Recombination in West Nile Virus: minimal contribution to genomic diversity
Pickett, B. E., & Lefkowitz, E. J. (2009) · Virology Journal · doi:10.1186/1743-422x-6-165 · Cited by 30
Hifumi, E., Fujimoto, N., Ishida, K., Kawawaki, H., & Uda, T. (2010) · Journal of Bioscience and Bioengineering · doi:10.1016/j.jbiosc.2009.11.020 · Cited by 8
The world waits for H7N9 to yield up its secrets
Holmes, D. I. R. (2013) · The Lancet Infectious Diseases · doi:10.1016/s1473-3099(13)70132-4 · Cited by 5
Phylogenetic networks from sequences
Huson, D. H., Rupp, R., & Scornavacca, C. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511974076.013 · Cited by 1
Cited by
Sorted by citations
A roadmap for the computation of persistent homology
Otter, N., Porter, M. A., Tillmann, U., Grindrod, P., & Harrington, H. A. (2017) · EPJ Data Science · doi:10.1140/epjds/s13688-017-0109-5 · Cited by 769
Homological scaffolds of brain functional networks
Petri, G., Expert, P., Turkheimer, F., Carhart-Harris, R., Nutt, D., Hellyer, P. J., & Vaccarino, F. (2014) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.0873 · Cited by 675
Two’s company, three (or more) is a simplex
Giusti, C., Ghrist, R., & Bassett, D. S. (2016) · Journal of Computational Neuroscience · doi:10.1007/s10827-016-0608-6 · Cited by 426
What are higher-order networks?
Bick, C., Gross, E., Harrington, H. A., & Schaub, M. T. (2023) · SIAM Review · doi:10.1137/21m1414024 · Cited by 420
Clique topology reveals intrinsic geometric structure in neural correlations
Giusti, C., Pastalkova, E., Curto, C., & Itskov, V. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1506407112 · Cited by 381
Metadata
- Authors
- Chan, J. M., Carlsson, G., & Rabadan, R.
- Affiliations
- Columbia University (US)
- Stanford University (US)
- Center for Computational Biology and Bioinformatics and
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2013-10-29
- Volume
- 110
- Issue
- 46
- Pages
- 18566-18571
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC3831954
- OpenAlex
- W2107385756
- Cited by
- 269
- References
- 46
- Citations by year
- 2026: 10 · 2025: 12 · 2024: 15 · 2023: 27 · 2022: 14 · 2021: 37 · 2020: 28 · 2019: 23 · 2018: 18 · 2017: 29 · 2016: 27 · 2015: 18 · 2014: 10 · 2013: 1
- FWCI
- 12.39
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion, other-oa)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Science Foundation (0905823, 0964242)
- National Institutes of Health (W81XWH, CA121852, U54-CA121852)
- National Cancer Institute (U54CA121852, U54CA149145, I-U54_CA149145-01)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Phylogenetic Studies
- Health Sciences › Medicine › Epidemiology › Influenza Virus Research Studies
- Keywords
- reticulate evolution, viral evolution, algebraic topology, phylogenetic tree, reassortment, recombination, RNA viruses, H7N9 avian influenza, HIV-1 recombinants, clonal evolution
- MeSH terms
- Base Sequence, Classification, Computer Simulation, Models, Genetic, Phylogeny, HIV-1, Reassortant Viruses, Sequence Homology, Evolution, Molecular, Computational Biology, Gene Transfer, Horizontal, Principal Component Analysis, Influenza A Virus, H1N1 Subtype, Molecular Sequence Annotation, Influenza A Virus, H7N9 Subtype
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review