dorsal/arxiv
View SchemaNeutral Evolution as Diffusion in phenotype space: reproduction with mutation but without selection
| Authors | Daniel John Lawson, Henrik Jeldtoft Jensen |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0609009 |
| URL | https://arxiv.org/abs/q-bio/0609009 |
| DOI | 10.1103/PhysRevLett.98.098102 |
| Journal | Phys. Rev. Lett. 98, 098102 (2007) |
Abstract
The process of `Evolutionary Diffusion', i.e. reproduction with local mutation but without selection in a biological population, resembles standard Diffusion in many ways. However, Evolutionary Diffusion allows the formation of local peaks with a characteristic width that undergo drift, even in the infinite population limit. We analytically calculate the mean peak width and the effective random walk step size, and obtain the distribution of the peak width which has a power law tail. We find that independent local mutations act as a diffusion of interacting particles with increased stepsize.
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"abstract": "The process of `Evolutionary Diffusion\u0027, i.e. reproduction with local\nmutation but without selection in a biological population, resembles standard\nDiffusion in many ways. However, Evolutionary Diffusion allows the formation of\nlocal peaks with a characteristic width that undergo drift, even in the\ninfinite population limit. We analytically calculate the mean peak width and\nthe effective random walk step size, and obtain the distribution of the peak\nwidth which has a power law tail. We find that independent local mutations act\nas a diffusion of interacting particles with increased stepsize.",
"arxiv_id": "q-bio/0609009",
"authors": [
"Daniel John Lawson",
"Henrik Jeldtoft Jensen"
],
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"q-bio.PE"
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"doi": "10.1103/PhysRevLett.98.098102",
"journal_ref": "Phys. Rev. Lett. 98, 098102 (2007)",
"title": "Neutral Evolution as Diffusion in phenotype space: reproduction with mutation but without selection",
"url": "https://arxiv.org/abs/q-bio/0609009"
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