Article contents
Ancestral Graph with Bias in Gene Conversion
Published online by Cambridge University Press: 30 January 2018
Abstract
Gene conversion is a genetic mechanism by which one gene is ‘copied and pasted’ onto another gene, where the direction can be biased between the different types. In this paper, a stochastic model for biased gene conversion within a d-unlinked multigene family and its diffusion approximation are developed for a finite Moran population. A connection with a d-island model is made. A formula for the fixation probability in the absence of mutation is given. A two-timescale argument is applied in the case of the strong conversion limit. The dual process is generally shown to be a biased voter model, which generates an ancestral bias graph for a given sample. An importance sampling algorithm for computing the likelihood of the sample is deduced.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Applied Probability Trust 2013
References
- 3
- Cited by