Phase Diagrams of Quasispecies Theory with Recombination and Horizontal Gene Transfer.
Open accessAbstract
We consider how transfer of genetic information between individuals influences the phase diagram and mean fitness of both the Eigen and the parallel, or Crow-Kimura, models of evolution. In the absence of genetic transfer, these physical models of evolution consider the replication and point mutation of the genomes of independent individuals in a large population. A phase transition occurs, such that below a critical mutation rate an identifiable quasispecies forms. We show how transfer of genetic information changes the phase diagram and mean fitness and introduces metastability in quasispecies theory, via an analytic field theoretic mapping.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
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?
A rigorous consideration of the single peak fitness landscape with the simplest version of recombination in [49] proves that recombination does not change the mean fitness error threshold for the long genome and hence could not solve the error paradox.
“A rigorous consideration of the single peak fitness landscape with the simplest version of recombination in [49] proves that the recombination does not change the (mean fitness) error threshold for the long genome and hence could not solve the error paradox.”
From Lethal mutants and truncated selection together solve a paradox of the origin of life (2011) · cites this paper as [49]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
An introduction to population genetics theory
Crow, J. F., & Kimura, M. (1970) · Medical Entomology and Zoology · Cited by 4,223 · see citing works
Selforganization of matter and the evolution of biological macromolecules
Eigen, M. (1971) · Die Naturwissenschaften · doi:10.1007/bf00623322 · Cited by 3,788 · see citing works
An Introduction to Population Genetics Theory
J., A., Crow, J. F., & Kimura, M. (1971) · Population · doi:10.2307/1529706 · Cited by 3,523 · see citing works
Rapid evolution of a protein in vitro by DNA shuffling
Stemmer, W. P. C. (1994) · Nature · doi:10.1038/370389a0 · Cited by 1,932 · see citing works
A constant rate of spontaneous mutation in DNA-based microbes.
Drake, J. W. (1991) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.88.16.7160 · Cited by 1,199 · see citing works
In vitro selection and evolution of functional proteins by using ribosome display
Hanes, J., & Plückthun, A. (1997) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.94.10.4937 · Cited by 1,090 · see citing works
Molecular archaeology of the Escherichia coli genome
Lawrence, J. G., & Ochman, H. (1998) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.95.16.9413 · Cited by 939 · see citing works
Resolving the paradox of sex and recombination
Otto, S. P., & Lenormand, T. (2002) · Nature Reviews Genetics · doi:10.1038/nrg761 · Cited by 830 · see citing works
DNA shuffling of a family of genes from diverse species accelerates directed evolution
Crameri, A., Raillard, S. A., Bermudez, E., & Stemmer, W. P. C. (1998) · Nature · doi:10.1038/34663 · Cited by 826 · see citing works
Horizontal gene transfer: A critical view
Kurland, C. G., Canbäck, B., & Berg, O. G. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1632870100 · Cited by 409 · see citing works
In vitro evolution of a T cell receptor with high affinity for peptide/MHC
Holler, P. D., Holman, P. O., Shusta, E. V., et al. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.080078297 · Cited by 298 · see citing works
Selfish operons and speciation by gene transfer
Lawrence, J. G. (1997) · Trends in Microbiology · doi:10.1016/s0966-842x(97)01110-4 · Cited by 210 · see citing works
Maynard, J. A., & Georgiou, G. N. (2000) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.2.1.339 · Cited by 208 · see citing works
Tarazona, P. (1992) · Physical Review A · doi:10.1103/physreva.45.6038 · Cited by 169 · see citing works
Ising Quantum Chain is Equivalent to a Model of Biological Evolution
Baake, E., Baake, M., & Wagner, H. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.559 · Cited by 163 · see citing works
Applications of DNA shuffling to pharmaceuticals and vaccines
Patten, P. A., Howard, R. J., & Stemmer, W. P. C. (1997) · Current Opinion in Biotechnology · doi:10.1016/s0958-1669(97)80127-9 · Cited by 153 · see citing works
A hierarchical approach to protein molecular evolution
Bogarad, L. D., & Deem, M. W. (1999) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.96.6.2591 · Cited by 146 · see citing works
Self-citationViral quasi-species and recombination
Boerlijst, M. C., Bonhoeffer, S., & Nowak, M. A. (1996) · Proceedings of the Royal Society B Biological Sciences · doi:10.1098/rspb.1996.0231 · Cited by 101 · see citing works
An exact correspondence between Eigen’s evolution model and a two-dimensional Ising system
Leuthäusser, I. (1986) · The Journal of Chemical Physics · doi:10.1063/1.450436 · Cited by 101 · see citing works
Recombination Dramatically Speeds Up Evolution of Finite Populations
Cohen, E., Kessler, D. A., & Levine, H. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.098102 · Cited by 76 · see citing works
Eigen model as a quantum spin chain: Exact dynamics
Saakian, D. B., & Hu, C. (2004) · Physical Review E · doi:10.1103/physreve.69.021913 · Cited by 71 · see citing works
Quasispecies theory for multiple-peak fitness landscapes
Saakian, D. B., Muñoz, E., Hu, C., & Deem, M. W. (2006) · Physical Review E · doi:10.1103/physreve.73.041913 · Cited by 68 · see citing works
Self-citationA 21st Century View of Evolution
Shapiro, J. A. (2002) · Journal of Biological Physics · doi:10.1023/a:1021207310080 · Cited by 40 · see citing works
Quasispecies evolution in general mean-field landscapes
Peliti, L. (2002) · Europhysics Letters (EPL) · doi:10.1209/epl/i2002-00526-5 · Cited by 40 · see citing works
Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory
Park, J.-M., & Deem, M. W. (2006) · Journal of Statistical Physics · doi:10.1007/s10955-006-9190-z · Cited by 36 · see citing works
Self-citationHomology-independent protein engineering
Lutz, S., & Benkovic, S. J. (2000) · Current Opinion in Biotechnology · doi:10.1016/s0958-1669(00)00106-3 · Cited by 23 · see citing works
Baake, E., Baake, M., & Wagner, H. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.1782 · Cited by 17 · see citing works
Flagged first, then by citations
Research works printed but not linked: 9
- [6]L. D. Bogarad and M. W. Deem, Proc. Nat. Acad. Sci. USA 96 , 2591 (1999).
- [10]P. D. Holler, P. O. Holman, E. V. Shusta, S. O'Herrin, K. D. Wittrup, and D. M. Kranz, Proc. Nat. Acad. Sci. USA 97 , 5387 (2000).
- [11]J. Hanes and A. Pl¨ uckthun, Proc. Nat. Acad. Sci. USA 94 , 4937 (1997).
- [14]K. Jain and J. Krug, in Structural approaches to sequence evolution: Molecules, networks and populations , edited by U. Bastolla, M. Porto, H. E. Roman, and M. Vendruscolo (Springer Verlag, Berlin, 2006), q-bio.PE/0508008. · arXiv
- 78 , 559 (1997), 79 , 1782.
- [23]J. W. Drake, Proc. Natl. Acad. Sci. USA 88 , 7160 (1991).
- [24]M. C. Boerlijst, S. Bonhoeffer, and M. A. Nowak, Proc. Roy. Soc. Lond. B 263 , 1577 (1996).
- [25]J. G. Lawrence and H. Ochman, Proc. Natl. Acad. Sci. USA 95 , 9413 (1998).
- [26]C. G. Kurland, B. Canback, and O. G. Berg, Proc. Natl. Acad. Sci. USA 100 , 9658 (2003).
Cited by
Sorted by citations
Domingo, E., Sheldon, J., & Perales, C. (2012) · Microbiology and Molecular Biology Reviews · doi:10.1128/mmbr.05023-11 · Cited by 1,009 · see citing works
Phase diagram for the Eigen quasispecies theory with a truncated fitness landscape
Saakian, D. B., Biebricher, C. K., & Hu, C.-K. (2009) · Physical Review E · doi:10.1103/physreve.79.041905 · Cited by 28 · see citing works
Lethal mutants and truncated selection together solve a paradox of the origin of life
Saakian, D. B., Biebricher, C. K., & Hu, C.-K. (2011) · PLoS ONE · doi:10.1371/journal.pone.0021904 · Cited by 27 · see citing works
Evolution models with lethal mutations on symmetric or random fitness landscapes.
Kirakosyan, Z., Saakian, D. B., & Hu, C.-K. (2010) · Physical Review E · doi:10.1103/physreve.82.011904 · Cited by 15 · see citing works
Recombination in one and two dimensional fitness landscapes.
Avetisyan, Z., & Saakian, D. B. (2010) · Physical Review E · doi:10.1103/physreve.81.051916 · Cited by 13 · see citing works
Nonequilibrium phase transitions associated with dna replication.
Woo, H.-J., & Wallqvist, A. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.060601 · Cited by 11 · see citing works
- Authors
- Park, J.-M., & Deem, M. W.
- Affiliations
- Rice University (US)
- ORCID
- Deem, M. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-01-29
- Volume
- 98
- Issue
- 5
- Pages
- 058101-058101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2078219342
- Cited by
- 69
- References
- 27
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 1 · 2023: 1 · 2021: 2 · 2020: 1 · 2019: 5 · 2018: 5 · 2017: 3 · 2016: 1 · 2015: 8 · 2014: 5 · 2013: 4 · 2012: 4
- FWCI
- 4.28
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- quasispecies theory, phase diagram, horizontal gene transfer, recombination, Eigen model, mean fitness, phase transitions, metastability
- MeSH terms
- Biophysics, Biological Evolution, Models, Genetic, Mutation, Recombination, Genetic, Models, Statistical, Gene Transfer, Horizontal, Biophysical Phenomena
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