dorsal/arxiv
View SchemaTemporal and dimensional effects in evolutionary graph theory
| Authors | C. J. Paley, S. N. Taraskin, S. R. Elliott |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0604009 |
| URL | https://arxiv.org/abs/q-bio/0604009 |
| DOI | 10.1103/PhysRevLett.98.098103 |
| Journal | Phys. Rev. Lett. 98, 098103 (2007) |
Abstract
The spread in time of a mutation through a population is studied analytically and computationally in fully-connected networks and on spatial lattices. The time, t_*, for a favourable mutation to dominate scales with population size N as N^{(D+1)/D} in D-dimensional hypercubic lattices and as N ln N in fully-connected graphs. It is shown that the surface of the interface between mutants and non-mutants is crucial in predicting the dynamics of the system. Network topology has a significant effect on the equilibrium fitness of a simple population model incorporating multiple mutations and sexual reproduction. Includes supplementary information.
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"abstract": "The spread in time of a mutation through a population is studied analytically\nand computationally in fully-connected networks and on spatial lattices. The\ntime, t_*, for a favourable mutation to dominate scales with population size N\nas N^{(D+1)/D} in D-dimensional hypercubic lattices and as N ln N in\nfully-connected graphs. It is shown that the surface of the interface between\nmutants and non-mutants is crucial in predicting the dynamics of the system.\nNetwork topology has a significant effect on the equilibrium fitness of a\nsimple population model incorporating multiple mutations and sexual\nreproduction. Includes supplementary information.",
"arxiv_id": "q-bio/0604009",
"authors": [
"C. J. Paley",
"S. N. Taraskin",
"S. R. Elliott"
],
"categories": [
"q-bio.PE"
],
"doi": "10.1103/PhysRevLett.98.098103",
"journal_ref": "Phys. Rev. Lett. 98, 098103 (2007)",
"title": "Temporal and dimensional effects in evolutionary graph theory",
"url": "https://arxiv.org/abs/q-bio/0604009"
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