Radial Domany-Kinzel models with mutation and selection
We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new territory. Under an appropriate coarse-graining, the evolutionary dynamics is related to the directed percolation process...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/78318 |
| _version_ | 1826209012378501120 |
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| author | Davidson, James West Korolev, Kirill Sergeevich Nelson, David R. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Davidson, James West Korolev, Kirill Sergeevich Nelson, David R. |
| author_sort | Davidson, James West |
| collection | MIT |
| description | We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new territory. Under an appropriate coarse-graining, the evolutionary dynamics is related to the directed percolation processes that arise in voter models, the Domany-Kinzel (DK) model, contact process, and so on. We explore the differences between linear (flat front) expansions and the much less familiar radial (curved front) range expansions. For the radial expansion, we develop a generalized, off-lattice DK model that minimizes otherwise persistent lattice artifacts. With both simulations and analytical techniques, we study the survival probability of advantageous mutants, the spatial correlations between domains of neutral strains, and the dynamics of populations with deleterious mutations. “Inflation” at the frontier leads to striking differences between radial and linear expansions. For a colony with initial radius R[subscript 0] expanding at velocity v, significant genetic demixing, caused by local genetic drift, occurs only up to a finite time t[superscript *]=R[subscript 0]/v, after which portions of the colony become causally disconnected due to the inflating perimeter of the expanding front. As a result, the effect of a selective advantage is amplified relative to genetic drift, increasing the survival probability of advantageous mutants. Inflation also modifies the underlying directed percolation transition, introducing novel scaling functions and modifications similar to a finite-size effect. Finally, we consider radial range expansions with deflating perimeters, as might arise from colonization initiated along the shores of an island. |
| first_indexed | 2024-09-23T14:15:58Z |
| format | Article |
| id | mit-1721.1/78318 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:15:58Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/783182022-09-28T19:36:03Z Radial Domany-Kinzel models with mutation and selection Davidson, James West Korolev, Kirill Sergeevich Nelson, David R. Massachusetts Institute of Technology. Department of Physics Korolev, Kirill Sergeevich We study the effect of spatial structure, genetic drift, mutation, and selective pressure on the evolutionary dynamics in a simplified model of asexual organisms colonizing a new territory. Under an appropriate coarse-graining, the evolutionary dynamics is related to the directed percolation processes that arise in voter models, the Domany-Kinzel (DK) model, contact process, and so on. We explore the differences between linear (flat front) expansions and the much less familiar radial (curved front) range expansions. For the radial expansion, we develop a generalized, off-lattice DK model that minimizes otherwise persistent lattice artifacts. With both simulations and analytical techniques, we study the survival probability of advantageous mutants, the spatial correlations between domains of neutral strains, and the dynamics of populations with deleterious mutations. “Inflation” at the frontier leads to striking differences between radial and linear expansions. For a colony with initial radius R[subscript 0] expanding at velocity v, significant genetic demixing, caused by local genetic drift, occurs only up to a finite time t[superscript *]=R[subscript 0]/v, after which portions of the colony become causally disconnected due to the inflating perimeter of the expanding front. As a result, the effect of a selective advantage is amplified relative to genetic drift, increasing the survival probability of advantageous mutants. Inflation also modifies the underlying directed percolation transition, introducing novel scaling functions and modifications similar to a finite-size effect. Finally, we consider radial range expansions with deflating perimeters, as might arise from colonization initiated along the shores of an island. National Science Foundation (U.S.) (Grant 1005289) National Science Foundation (U.S.). Materials Research Science and Engineering Centers (Program) (Grant DMR 0820484) 2013-04-10T14:38:03Z 2013-04-10T14:38:03Z 2013-01 2012-09 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/78318 Lavrentovich, Maxim O., Kirill S. Korolev, and David R. Nelson. “Radial Domany-Kinzel Models with Mutation and Selection.” Physical Review E 87.1 (2013). ©2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevE.87.012103 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Davidson, James West Korolev, Kirill Sergeevich Nelson, David R. Radial Domany-Kinzel models with mutation and selection |
| title | Radial Domany-Kinzel models with mutation and selection |
| title_full | Radial Domany-Kinzel models with mutation and selection |
| title_fullStr | Radial Domany-Kinzel models with mutation and selection |
| title_full_unstemmed | Radial Domany-Kinzel models with mutation and selection |
| title_short | Radial Domany-Kinzel models with mutation and selection |
| title_sort | radial domany kinzel models with mutation and selection |
| url | http://hdl.handle.net/1721.1/78318 |
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