A Markov chain description of the stepwise mutation model: local and global behaviour of the allele process

DOI10.1016/j.jtbi.2010.06.033zbMath1407.92088OpenAlexW1984156714WikidataQ84519860 ScholiaQ84519860MaRDI QIDQ1722857

Arne Jochens, Amke Caliebe, Michael Krawczak, Uwe Roesler

Publication date: 18 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.06.033

zbMATH Keywords

asymptotic behaviourpopulation geneticsevolutionmicrosatellite

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10)

Related Items

The discrete Laplace exponential family and estimation of Y-STR haplotype frequencies ⋮ A model for genome size evolution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Microsatellite evolution: Markov transition functions for a suite of models
• Wandering distributions and the electrophoretic profile
• Inference on microsatellite mutation processes in the invasive mite, varroa destructor, using reversible jump Markov chain Monte Carlo
• Stepwise mutation likelihood computation by sequential importance sampling in subdivided population models
• Coherent random walks arising in some genetical models
• A new stochastic model of microsatellite evolution
• Some Results for Discrete Unimodality