Translator Disclaimer
March 2013 Ancestral graph with bias in gene conversion
Shuhei Mano
Author Affiliations +
J. Appl. Probab. 50(1): 239-255 (March 2013). DOI: 10.1239/jap/1363784436

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.

Citation

Download Citation

Shuhei Mano. "Ancestral graph with bias in gene conversion." J. Appl. Probab. 50 (1) 239 - 255, March 2013. https://doi.org/10.1239/jap/1363784436

Information

Published: March 2013
First available in Project Euclid: 20 March 2013

zbMATH: 06157741
MathSciNet: MR3076784
Digital Object Identifier: 10.1239/jap/1363784436

Subjects:
Primary: 60K35
Secondary: 60J70, 92D15, 92D25

Rights: Copyright © 2013 Applied Probability Trust

JOURNAL ARTICLE
17 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.50 • No. 1 • March 2013
Back to Top