# Erratum to: General continuous-time Markov model of sequence evolution via insertions/deletions: are alignment probabilities factorable?

- Kiyoshi Ezawa
^{1, 2}Email author

**17**:457

**DOI: **10.1186/s12859-016-1282-4

© The Author(s). 2016

**Received: **26 September 2016

**Accepted: **26 September 2016

**Published: **10 November 2016

## Erratum

Unfortunately, [1] was published with errors in the equations and text. Please find further details below.

*š*

^{ II }’ should be capitalised to be ‘

*Š*

^{II}’: ‘Because of the rules imposed above, the space of the extended sequence states (denoted as

*š*

^{ II }in [31]) is included in but never equal to ’ (the last sentence of the first paragraph of section R2) and ‘Because the state space we are working in,

*š*

^{ II }, is essentially infinite, we cannot give the explicit matrix expression of the rate operator on the entire state space. Nevertheless, the rate operator can be defined if we give its action on every state in

*š*

^{ II }’ (the two sentences above Eq.(R3.1)).

*Š*

^{ II }in [31]) is included in but never equal to ’ and ‘Because the state space we are working in,

*Š*

^{ II }, is essentially infinite, we cannot give the explicit matrix expression of the rate operator on the entire state space. Nevertheless, the rate operator can be defined if we give its action on every state in

*Š*

^{ II }.’

*’*.

Besides, the triple commas in the expression, ‘\( \left[{\widehat{M}}_1,{\widehat{M}}_2,,,\dots, {\widehat{M}}_N\right] \)
*’*, should also be a single comma.

_{1}’ should be a ‘1’

Finally, the manuscript referred to as "Ezawa, unpublished" in [1] has already been published [2].

The author is grateful to Aradhana Mistry, Senior Production Editor of BioMed Central, for kindly drafting this erratum. The author also appreciates the assistance of all staff members of BioMed Central who were involved in the publication of the erratum and/or the original article [1]

## Notes

## Declarations

**Open Access**This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.

## Authors’ Affiliations

## Reference

- Ezawa K. General continuous-time Markov model of sequence evolution via insertions/deletions: are alignment probabilities factorable? BMC Bioinf. 2016;17:304.View ArticleGoogle Scholar
- Ezawa K. General continuous-time Markov model of sequence evolution via insertions/deletions: local alignment probability computation. BMC Bioinf. 2016;17:397.