dorsal/arxiv
View SchemaEpistasis and Shapes of Fitness Landscapes
| Authors | Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0603034 |
| URL | https://arxiv.org/abs/q-bio/0603034 |
Abstract
The relationship between the shape of a fitness landscape and the underlying gene interactions, or epistasis, has been extensively studied in the two-locus case. Gene interactions among multiple loci are usually reduced to two-way interactions. We present a geometric theory of shapes of fitness landscapes for multiple loci. A central concept is the genotope, which is the convex hull of all possible allele frequencies in populations. Triangulations of the genotope correspond to different shapes of fitness landscapes and reveal all the gene interactions. The theory is applied to fitness data from HIV and Drosophila melanogaster. In both cases, our findings refine earlier analyses and reveal previously undetected gene interactions.
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"abstract": "The relationship between the shape of a fitness landscape and the underlying\ngene interactions, or epistasis, has been extensively studied in the two-locus\ncase. Gene interactions among multiple loci are usually reduced to two-way\ninteractions. We present a geometric theory of shapes of fitness landscapes for\nmultiple loci. A central concept is the genotope, which is the convex hull of\nall possible allele frequencies in populations. Triangulations of the genotope\ncorrespond to different shapes of fitness landscapes and reveal all the gene\ninteractions. The theory is applied to fitness data from HIV and Drosophila\nmelanogaster. In both cases, our findings refine earlier analyses and reveal\npreviously undetected gene interactions.",
"arxiv_id": "q-bio/0603034",
"authors": [
"Niko Beerenwinkel",
"Lior Pachter",
"Bernd Sturmfels"
],
"categories": [
"q-bio.PE",
"math.CO"
],
"title": "Epistasis and Shapes of Fitness Landscapes",
"url": "https://arxiv.org/abs/q-bio/0603034"
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