---
_id: '11447'
abstract:
- lang: eng
text: Empirical essays of fitness landscapes suggest that they may be rugged, that
is having multiple fitness peaks. Such fitness landscapes, those that have multiple
peaks, necessarily have special local structures, called reciprocal sign epistasis
(Poelwijk et al. in J Theor Biol 272:141–144, 2011). Here, we investigate the
quantitative relationship between the number of fitness peaks and the number of
reciprocal sign epistatic interactions. Previously, it has been shown (Poelwijk
et al. in J Theor Biol 272:141–144, 2011) that pairwise reciprocal sign epistasis
is a necessary but not sufficient condition for the existence of multiple peaks.
Applying discrete Morse theory, which to our knowledge has never been used in
this context, we extend this result by giving the minimal number of reciprocal
sign epistatic interactions required to create a given number of peaks.
acknowledgement: We are grateful to Herbert Edelsbrunner and Jeferson Zapata for helpful
discussions. Open access funding provided by Austrian Science Fund (FWF). Partially
supported by the ERC Consolidator (771209–CharFL) and the FWF Austrian Science Fund
(I5127-B) grants to FAK.
article_number: '74'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Raimundo J
full_name: Saona Urmeneta, Raimundo J
id: BD1DF4C4-D767-11E9-B658-BC13E6697425
last_name: Saona Urmeneta
orcid: 0000-0001-5103-038X
- first_name: Fyodor
full_name: Kondrashov, Fyodor
id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
last_name: Kondrashov
orcid: 0000-0001-8243-4694
- first_name: Kseniia
full_name: Khudiakova, Kseniia
id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
last_name: Khudiakova
orcid: 0000-0002-6246-1465
citation:
ama: Saona Urmeneta RJ, Kondrashov F, Khudiakova K. Relation between the number
of peaks and the number of reciprocal sign epistatic interactions. Bulletin
of Mathematical Biology. 2022;84(8). doi:10.1007/s11538-022-01029-z
apa: Saona Urmeneta, R. J., Kondrashov, F., & Khudiakova, K. (2022). Relation
between the number of peaks and the number of reciprocal sign epistatic interactions.
Bulletin of Mathematical Biology. Springer Nature. https://doi.org/10.1007/s11538-022-01029-z
chicago: Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova.
“Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic
Interactions.” Bulletin of Mathematical Biology. Springer Nature, 2022.
https://doi.org/10.1007/s11538-022-01029-z.
ieee: R. J. Saona Urmeneta, F. Kondrashov, and K. Khudiakova, “Relation between
the number of peaks and the number of reciprocal sign epistatic interactions,”
Bulletin of Mathematical Biology, vol. 84, no. 8. Springer Nature, 2022.
ista: Saona Urmeneta RJ, Kondrashov F, Khudiakova K. 2022. Relation between the
number of peaks and the number of reciprocal sign epistatic interactions. Bulletin
of Mathematical Biology. 84(8), 74.
mla: Saona Urmeneta, Raimundo J., et al. “Relation between the Number of Peaks and
the Number of Reciprocal Sign Epistatic Interactions.” Bulletin of Mathematical
Biology, vol. 84, no. 8, 74, Springer Nature, 2022, doi:10.1007/s11538-022-01029-z.
short: R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical
Biology 84 (2022).
date_created: 2022-06-17T16:16:15Z
date_published: 2022-06-17T00:00:00Z
date_updated: 2023-08-03T07:20:53Z
day: '17'
ddc:
- '510'
- '570'
department:
- _id: GradSch
- _id: NiBa
- _id: JaMa
doi: 10.1007/s11538-022-01029-z
ec_funded: 1
external_id:
isi:
- '000812509800001'
file:
- access_level: open_access
checksum: 05a1fe7d10914a00c2bca9b447993a65
content_type: application/pdf
creator: dernst
date_created: 2022-06-20T07:51:32Z
date_updated: 2022-06-20T07:51:32Z
file_id: '11455'
file_name: 2022_BulletinMathBiology_Saona.pdf
file_size: 463025
relation: main_file
success: 1
file_date_updated: 2022-06-20T07:51:32Z
has_accepted_license: '1'
intvolume: ' 84'
isi: 1
issue: '8'
keyword:
- Computational Theory and Mathematics
- General Agricultural and Biological Sciences
- Pharmacology
- General Environmental Science
- General Biochemistry
- Genetics and Molecular Biology
- General Mathematics
- Immunology
- General Neuroscience
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 26580278-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '771209'
name: Characterizing the fitness landscape on population and global scales
- _id: c098eddd-5a5b-11eb-8a69-abe27170a68f
grant_number: I05127
name: Evolutionary analysis of gene regulation
publication: Bulletin of Mathematical Biology
publication_identifier:
eissn:
- 1522-9602
issn:
- 0092-8240
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: erratum
url: https://doi.org/10.1007/s11538-022-01118-z
scopus_import: '1'
status: public
title: Relation between the number of peaks and the number of reciprocal sign epistatic
interactions
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 84
year: '2022'
...