A mean first passage time genome rearrangement distance

Andrew R. Francis; Henry P. Wynn

doi:10.1007/s00285-020-01487-w

A mean first passage time genome rearrangement distance

Andrew R. Francis, Henry P. Wynn

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper introduces a new way to define a genome rearrangement distance, using the concept of mean first passage time from probability theory. Crucially, this distance provides a genuine metric on genome space. We develop the theory and introduce a link to a graph-based zeta function. The approach is very general and can be applied to a wide variety of group-theoretic models of genome evolution.

Original language	English
Pages (from-to)	1971-1992
Number of pages	22
Journal	Journal of Mathematical Biology
Volume	80
Issue number	6
DOIs	https://doi.org/10.1007/s00285-020-01487-w
Publication status	Published - 1 May 2020

Bibliographical note

Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

Keywords

mathematical models
phylogeny
probability theory

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10.1007/s00285-020-01487-w

Cite this

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KW - phylogeny

KW - probability theory

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A mean first passage time genome rearrangement distance

Abstract

Bibliographical note

Keywords

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