ArticleTheoretical population biology2014
A path integral formulation of the Wright-Fisher process with genic selection.
Article in Theoretical population biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Exact path-integral representation of the Wright-Fisher model with mutation and selection.BMC genomics · 2025Article
- Article
- A Path Integral Approach for Allele Frequency Dynamics Under Polygenic Selection.bioRxiv : the preprint server for biology · 2024Article
- Path probability selection in nature and path integral.Scientific reports · 2022Article
- MPL resolves genetic linkage in fitness inference from complex evolutionary histories.Nature biotechnology · 2021Article
- Statistical Inference in the Wright-Fisher Model Using Allele Frequency Data.Systematic biology · 2017Review
- Article
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Abstract
The Wright-Fisher process with selection is an important tool in population genetics theory. Traditional analysis of this process relies on the diffusion approximation. The diffusion approximation is usually studied in a partial differential equations framework. In this paper, I introduce a path integral formalism to study the Wright-Fisher process with selection and use that formalism to obtain a simple perturbation series to approximate the transition density. The perturbation series can be understood in terms of Feynman diagrams, which have a simple probabilistic interpretation in terms of selective events. The perturbation series proves to be an accurate approximation of the transition density for weak selection and is shown to be arbitrarily accurate for any selection coefficient.
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