---
OA_place: repository
OA_type: green
_id: '20050'
abstract:
- lang: eng
  text: We prove upper bounds on the L∞-Wasserstein distance from optimal transport
    between strongly log-concave probability densities and log-Lipschitz perturbations.
    In the simplest setting, such a bound amounts to a transport-information inequality
    involving the L∞-Wasserstein metric and the relative L∞-Fisher information. We
    show that this inequality can be sharpened significantly in situations where the
    involved densities are anisotropic. Our proof is based on probabilistic techniques
    using Langevin dynamics. As an application of these results, we obtain sharp exponential
    rates of convergence in Fisher’s infinitesimal model from quantitative genetics,
    generalising recent results by Calvez, Poyato, and Santambrogio in dimension 1
    to arbitrary dimensions.
acknowledgement: This research was funded in part by the Austrian Science Fund (FWF)
  project 10.55776/F65 and the Austrian Academy of Science, DOC fellowship nr. 26293.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Francesco
  full_name: Pedrotti, Francesco
  id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  last_name: Pedrotti
citation:
  ama: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave
    measures and exponential convergence in Fisher’s infinitesimal model. <i>The Annals
    of Applied Probability</i>. 2025;35(3):1913-1940. doi:<a href="https://doi.org/10.1214/25-aap2162">10.1214/25-aap2162</a>
  apa: Khudiakova, K., Maas, J., &#38; Pedrotti, F. (2025). L∞-optimal transport of
    anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal
    model. <i>The Annals of Applied Probability</i>. Institute of Mathematical Statistics.
    <a href="https://doi.org/10.1214/25-aap2162">https://doi.org/10.1214/25-aap2162</a>
  chicago: Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport
    of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal
    Model.” <i>The Annals of Applied Probability</i>. Institute of Mathematical Statistics,
    2025. <a href="https://doi.org/10.1214/25-aap2162">https://doi.org/10.1214/25-aap2162</a>.
  ieee: K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic
    log-concave measures and exponential convergence in Fisher’s infinitesimal model,”
    <i>The Annals of Applied Probability</i>, vol. 35, no. 3. Institute of Mathematical
    Statistics, pp. 1913–1940, 2025.
  ista: Khudiakova K, Maas J, Pedrotti F. 2025. L∞-optimal transport of anisotropic
    log-concave measures and exponential convergence in Fisher’s infinitesimal model.
    The Annals of Applied Probability. 35(3), 1913–1940.
  mla: Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave
    Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>The
    Annals of Applied Probability</i>, vol. 35, no. 3, Institute of Mathematical Statistics,
    2025, pp. 1913–40, doi:<a href="https://doi.org/10.1214/25-aap2162">10.1214/25-aap2162</a>.
  short: K. Khudiakova, J. Maas, F. Pedrotti, The Annals of Applied Probability 35
    (2025) 1913–1940.
corr_author: '1'
date_created: 2025-07-21T08:13:54Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-30T14:12:48Z
day: '01'
department:
- _id: JaMa
doi: 10.1214/25-aap2162
external_id:
  arxiv:
  - '2402.04151'
  isi:
  - '001523520000012'
intvolume: '        35'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2402.04151
month: '06'
oa: 1
oa_version: Preprint
page: 1913-1940
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8
  grant_number: '26293'
  name: The impact of deleterious mutations on small populations
publication: The Annals of Applied Probability
publication_identifier:
  issn:
  - 1050-5164
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
related_material:
  record:
  - id: '17352'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: L∞-optimal transport of anisotropic log-concave measures and exponential convergence
  in Fisher’s infinitesimal model
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 35
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21322'
abstract:
- lang: eng
  text: Habitat fragmentation poses a significant risk to population survival, causing
    both demographic stochasticity and genetic drift within local populations to increase,
    thereby increasing genetic load. Higher load causes population numbers to decline,
    which reduces the efficiency of selection and further increases load, resulting
    in a positive feedback that may drive entire populations to extinction. Here,
    we investigate this eco-evolutionary feedback in a metapopulation consisting of
    local demes connected via migration, with individuals subject to deleterious mutation
    at a large number of loci. We first analyze the determinants of load under soft
    selection, where population sizes are fixed, and then build on this to understand
    hard selection, where population sizes and load coevolve. We show that under soft
    selection, very little gene flow (less than one migrant per generation) is enough
    to prevent fixation of deleterious alleles. By contrast, much higher levels of
    migration are required to mitigate load and prevent extinction when selection
    is hard, with critical migration thresholds for metapopulation persistence increasing
    sharply as the genome-wide deleterious mutation rate becomes comparable to the
    baseline population growth rate. Moreover, critical migration thresholds are highest
    if deleterious mutations have intermediate selection coefficients but lower if
    alleles are predominantly recessive rather than additive (due to more efficient
    purging of recessive load within local populations). Our analysis is based on
    a combination of analytical approximations and simulations, allowing for a more
    comprehensive understanding of the factors influencing load and extinction in
    fragmented populations.
acknowledgement: 'This research was partially funded by the Austrian Science Fund
  (FWF P-32896B) and DOC Fellowships of the Austrian Academy of Sciences: grants 26380
  (O.O.) and 26293 (K.K.). We thank Nick Barton for useful comments on the chapter
  in O.O.’s thesis that led to this article.'
article_processing_charge: No
article_type: original
author:
- first_name: Oluwafunmilola O
  full_name: Olusanya, Oluwafunmilola O
  id: 41AD96DC-F248-11E8-B48F-1D18A9856A87
  last_name: Olusanya
  orcid: 0000-0003-1971-8314
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Himani
  full_name: Sachdeva, Himani
  id: 42377A0A-F248-11E8-B48F-1D18A9856A87
  last_name: Sachdeva
citation:
  ama: Olusanya OO, Khudiakova K, Sachdeva H. Genetic load, eco-evolutionary feedback,
    and extinction in metapopulations. <i>The American Naturalist</i>. 2025;205(6):617-636.
    doi:<a href="https://doi.org/10.1086/735562">10.1086/735562</a>
  apa: Olusanya, O. O., Khudiakova, K., &#38; Sachdeva, H. (2025). Genetic load, eco-evolutionary
    feedback, and extinction in metapopulations. <i>The American Naturalist</i>. University
    of Chicago Press. <a href="https://doi.org/10.1086/735562">https://doi.org/10.1086/735562</a>
  chicago: Olusanya, Oluwafunmilola O, Kseniia Khudiakova, and Himani Sachdeva. “Genetic
    Load, Eco-Evolutionary Feedback, and Extinction in Metapopulations.” <i>The American
    Naturalist</i>. University of Chicago Press, 2025. <a href="https://doi.org/10.1086/735562">https://doi.org/10.1086/735562</a>.
  ieee: O. O. Olusanya, K. Khudiakova, and H. Sachdeva, “Genetic load, eco-evolutionary
    feedback, and extinction in metapopulations,” <i>The American Naturalist</i>,
    vol. 205, no. 6. University of Chicago Press, pp. 617–636, 2025.
  ista: Olusanya OO, Khudiakova K, Sachdeva H. 2025. Genetic load, eco-evolutionary
    feedback, and extinction in metapopulations. The American Naturalist. 205(6),
    617–636.
  mla: Olusanya, Oluwafunmilola O., et al. “Genetic Load, Eco-Evolutionary Feedback,
    and Extinction in Metapopulations.” <i>The American Naturalist</i>, vol. 205,
    no. 6, University of Chicago Press, 2025, pp. 617–36, doi:<a href="https://doi.org/10.1086/735562">10.1086/735562</a>.
  short: O.O. Olusanya, K. Khudiakova, H. Sachdeva, The American Naturalist 205 (2025)
    617–636.
corr_author: '1'
date_created: 2026-02-18T10:47:18Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2026-04-07T08:45:14Z
day: '01'
department:
- _id: JaMa
- _id: NiBa
doi: 10.1086/735562
external_id:
  pmid:
  - '40446297 '
intvolume: '       205'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1101/2023.12.02.569702
month: '06'
oa: 1
oa_version: Preprint
page: 617-636
pmid: 1
project:
- _id: c08d3278-5a5b-11eb-8a69-fdb09b55f4b8
  grant_number: P32896
  name: Causes and consequences of population fragmentation
- _id: 34c872fe-11ca-11ed-8bc3-8534b82131e6
  grant_number: '26380'
  name: Polygenic Adaptation in a Metapopulation
- _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8
  grant_number: '26293'
  name: The impact of deleterious mutations on small populations
publication: The American Naturalist
publication_identifier:
  eissn:
  - 1537-5323
  issn:
  - 0003-0147
publication_status: published
publisher: University of Chicago Press
quality_controlled: '1'
related_material:
  record:
  - id: '14732'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Genetic load, eco-evolutionary feedback, and extinction in metapopulations
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 205
year: '2025'
...
---
OA_place: repository
_id: '17352'
abstract:
- lang: eng
  text: "We prove upper bounds on the $L^\\infty$-Wasserstein distance from optimal\r\ntransport
    between strongly log-concave probability densities and log-Lipschitz\r\nperturbations.
    In the simplest setting, such a bound amounts to a\r\ntransport-information inequality
    involving the $L^\\infty$-Wasserstein metric\r\nand the relative $L^\\infty$-Fisher
    information. We show that this inequality\r\ncan be sharpened significantly in
    situations where the involved densities are\r\nanisotropic. Our proof is based
    on probabilistic techniques using Langevin\r\ndynamics. As an application of these
    results, we obtain sharp exponential rates\r\nof convergence in Fisher's infinitesimal
    model from quantitative genetics,\r\ngeneralising recent results by Calvez, Poyato,
    and Santambrogio in dimension 1\r\nto arbitrary dimensions."
article_number: '2402.04151'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Jan
  full_name: Maas, Jan
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Francesco
  full_name: Pedrotti, Francesco
  id: d3ac8ac6-dc8d-11ea-abe3-e2a9628c4c3c
  last_name: Pedrotti
citation:
  ama: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave
    measures and exponential convergence in Fisher’s infinitesimal model. <i>arXiv</i>.
    doi:<a href="https://doi.org/10.48550/arXiv.2402.04151">10.48550/arXiv.2402.04151</a>
  apa: Khudiakova, K., Maas, J., &#38; Pedrotti, F. (n.d.). L∞-optimal transport of
    anisotropic log-concave measures and exponential convergence in Fisher’s infinitesimal
    model. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2402.04151">https://doi.org/10.48550/arXiv.2402.04151</a>
  chicago: Khudiakova, Kseniia, Jan Maas, and Francesco Pedrotti. “L∞-Optimal Transport
    of Anisotropic Log-Concave Measures and Exponential Convergence in Fisher’s Infinitesimal
    Model.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2402.04151">https://doi.org/10.48550/arXiv.2402.04151</a>.
  ieee: K. Khudiakova, J. Maas, and F. Pedrotti, “L∞-optimal transport of anisotropic
    log-concave measures and exponential convergence in Fisher’s infinitesimal model,”
    <i>arXiv</i>. .
  ista: Khudiakova K, Maas J, Pedrotti F. L∞-optimal transport of anisotropic log-concave
    measures and exponential convergence in Fisher’s infinitesimal model. arXiv, 2402.04151.
  mla: Khudiakova, Kseniia, et al. “L∞-Optimal Transport of Anisotropic Log-Concave
    Measures and Exponential Convergence in Fisher’s Infinitesimal Model.” <i>ArXiv</i>,
    2402.04151, doi:<a href="https://doi.org/10.48550/arXiv.2402.04151">10.48550/arXiv.2402.04151</a>.
  short: K. Khudiakova, J. Maas, F. Pedrotti, ArXiv (n.d.).
corr_author: '1'
date_created: 2024-07-31T08:07:40Z
date_published: 2024-02-07T00:00:00Z
date_updated: 2026-04-07T13:00:02Z
day: '07'
department:
- _id: JaMa
doi: 10.48550/arXiv.2402.04151
external_id:
  arxiv:
  - '2402.04151'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2402.04151
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8
  grant_number: '26293'
  name: The impact of deleterious mutations on small populations
publication: arXiv
publication_status: draft
related_material:
  record:
  - id: '20050'
    relation: later_version
    status: public
  - id: '17336'
    relation: dissertation_contains
    status: public
status: public
title: L∞-optimal transport of anisotropic log-concave measures and exponential convergence
  in Fisher's infinitesimal model
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
OA_place: repository
_id: '14732'
abstract:
- lang: eng
  text: 'Fragmented landscapes pose a significant threat to the persistence of species
    as they are highly susceptible to heightened risk of extinction due to the combined
    effects of genetic and demographic factors such as genetic drift and demographic
    stochasticity. This paper explores the intricate interplay between genetic load
    and extinction risk within metapopulations with a focus on understanding the impact
    of eco-evolutionary feedback mechanisms. We distinguish between two models of
    selection: soft selection, characterised by subpopulations maintaining carrying
    capacity despite load, and hard selection, where load can significantly affect
    population size. Within the soft selection framework, we investigate the impact
    of gene flow on genetic load at a single locus, while also considering the effect
    of selection strength and dominance coefficient. We subsequently build on this
    to examine how gene flow influences both population size and load under hard selection
    as well as identify critical thresholds for metapopulation persistence. Our analysis
    employs the diffusion, semi-deterministic and effective migration approximations.
    Our findings reveal that under soft selection, even modest levels of migration
    can significantly alleviate the burden of load. In sharp contrast, with hard selection,
    a much higher degree of gene flow is required to mitigate load and prevent the
    collapse of the metapopulation. Overall, this study sheds light into the crucial
    role migration plays in shaping the dynamics of genetic load and extinction risk
    in fragmented landscapes, offering valuable insights for conservation strategies
    and the preservation of diversity in a changing world.'
article_processing_charge: No
author:
- first_name: Oluwafunmilola O
  full_name: Olusanya, Oluwafunmilola O
  id: 41AD96DC-F248-11E8-B48F-1D18A9856A87
  last_name: Olusanya
  orcid: 0000-0003-1971-8314
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Himani
  full_name: Sachdeva, Himani
  id: 42377A0A-F248-11E8-B48F-1D18A9856A87
  last_name: Sachdeva
citation:
  ama: Olusanya OO, Khudiakova K, Sachdeva H. Genetic load, eco-evolutionary feedback
    and extinction in a metapopulation. <i>bioRxiv</i>. doi:<a href="https://doi.org/10.1101/2023.12.02.569702">10.1101/2023.12.02.569702</a>
  apa: Olusanya, O. O., Khudiakova, K., &#38; Sachdeva, H. (n.d.). Genetic load, eco-evolutionary
    feedback and extinction in a metapopulation. <i>bioRxiv</i>. <a href="https://doi.org/10.1101/2023.12.02.569702">https://doi.org/10.1101/2023.12.02.569702</a>
  chicago: Olusanya, Oluwafunmilola O, Kseniia Khudiakova, and Himani Sachdeva. “Genetic
    Load, Eco-Evolutionary Feedback and Extinction in a Metapopulation.” <i>BioRxiv</i>,
    n.d. <a href="https://doi.org/10.1101/2023.12.02.569702">https://doi.org/10.1101/2023.12.02.569702</a>.
  ieee: O. O. Olusanya, K. Khudiakova, and H. Sachdeva, “Genetic load, eco-evolutionary
    feedback and extinction in a metapopulation,” <i>bioRxiv</i>. .
  ista: Olusanya OO, Khudiakova K, Sachdeva H. Genetic load, eco-evolutionary feedback
    and extinction in a metapopulation. bioRxiv, <a href="https://doi.org/10.1101/2023.12.02.569702">10.1101/2023.12.02.569702</a>.
  mla: Olusanya, Oluwafunmilola O., et al. “Genetic Load, Eco-Evolutionary Feedback
    and Extinction in a Metapopulation.” <i>BioRxiv</i>, doi:<a href="https://doi.org/10.1101/2023.12.02.569702">10.1101/2023.12.02.569702</a>.
  short: O.O. Olusanya, K. Khudiakova, H. Sachdeva, BioRxiv (n.d.).
corr_author: '1'
date_created: 2024-01-04T09:35:54Z
date_published: 2023-12-04T00:00:00Z
date_updated: 2026-04-07T12:54:28Z
day: '04'
department:
- _id: NiBa
- _id: JaMa
doi: 10.1101/2023.12.02.569702
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
main_file_link:
- open_access: '1'
  url: https://www.biorxiv.org/content/10.1101/2023.12.02.569702v1
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: c08d3278-5a5b-11eb-8a69-fdb09b55f4b8
  grant_number: P32896
  name: Causes and consequences of population fragmentation
- _id: 34d33d68-11ca-11ed-8bc3-ec13763c0ca8
  grant_number: '26293'
  name: The impact of deleterious mutations on small populations
- _id: 34c872fe-11ca-11ed-8bc3-8534b82131e6
  grant_number: '26380'
  name: Polygenic Adaptation in a Metapopulation
publication: bioRxiv
publication_status: draft
related_material:
  record:
  - id: '21322'
    relation: later_version
    status: public
  - id: '14711'
    relation: dissertation_contains
    status: public
status: public
title: Genetic load, eco-evolutionary feedback and extinction in a metapopulation
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '12521'
abstract:
- lang: eng
  text: Differentiated X chromosomes are expected to have higher rates of adaptive
    divergence than autosomes, if new beneficial mutations are recessive (the “faster-X
    effect”), largely because these mutations are immediately exposed to selection
    in males. The evolution of X chromosomes after they stop recombining in males,
    but before they become hemizygous, has not been well explored theoretically. We
    use the diffusion approximation to infer substitution rates of beneficial and
    deleterious mutations under such a scenario. Our results show that selection is
    less efficient on diploid X loci than on autosomal and hemizygous X loci under
    a wide range of parameters. This “slower-X” effect is stronger for genes affecting
    primarily (or only) male fitness, and for sexually antagonistic genes. These unusual
    dynamics suggest that some of the peculiar features of X chromosomes, such as
    the differential accumulation of genes with sex-specific functions, may start
    arising earlier than previously appreciated.
acknowledgement: We thank the Vicoso and Barton groups and ISTA Scientific Computing
  Unit. We also thank two anonymous reviewers for their valuable comments. This work
  was supported by the European Research Council under the European Union’s Horizon
  2020 research and innovation program (grant agreements no. 715257 and no. 716117).
article_number: qrac004
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Andrea
  full_name: Mrnjavac, Andrea
  id: 353FAC84-AE61-11E9-8BFC-00D3E5697425
  last_name: Mrnjavac
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Beatriz
  full_name: Vicoso, Beatriz
  id: 49E1C5C6-F248-11E8-B48F-1D18A9856A87
  last_name: Vicoso
  orcid: 0000-0002-4579-8306
citation:
  ama: 'Mrnjavac A, Khudiakova K, Barton NH, Vicoso B. Slower-X: Reduced efficiency
    of selection in the early stages of X chromosome evolution. <i>Evolution Letters</i>.
    2023;7(1). doi:<a href="https://doi.org/10.1093/evlett/qrac004">10.1093/evlett/qrac004</a>'
  apa: 'Mrnjavac, A., Khudiakova, K., Barton, N. H., &#38; Vicoso, B. (2023). Slower-X:
    Reduced efficiency of selection in the early stages of X chromosome evolution.
    <i>Evolution Letters</i>. Oxford University Press. <a href="https://doi.org/10.1093/evlett/qrac004">https://doi.org/10.1093/evlett/qrac004</a>'
  chicago: 'Mrnjavac, Andrea, Kseniia Khudiakova, Nicholas H Barton, and Beatriz Vicoso.
    “Slower-X: Reduced Efficiency of Selection in the Early Stages of X Chromosome
    Evolution.” <i>Evolution Letters</i>. Oxford University Press, 2023. <a href="https://doi.org/10.1093/evlett/qrac004">https://doi.org/10.1093/evlett/qrac004</a>.'
  ieee: 'A. Mrnjavac, K. Khudiakova, N. H. Barton, and B. Vicoso, “Slower-X: Reduced
    efficiency of selection in the early stages of X chromosome evolution,” <i>Evolution
    Letters</i>, vol. 7, no. 1. Oxford University Press, 2023.'
  ista: 'Mrnjavac A, Khudiakova K, Barton NH, Vicoso B. 2023. Slower-X: Reduced efficiency
    of selection in the early stages of X chromosome evolution. Evolution Letters.
    7(1), qrac004.'
  mla: 'Mrnjavac, Andrea, et al. “Slower-X: Reduced Efficiency of Selection in the
    Early Stages of X Chromosome Evolution.” <i>Evolution Letters</i>, vol. 7, no.
    1, qrac004, Oxford University Press, 2023, doi:<a href="https://doi.org/10.1093/evlett/qrac004">10.1093/evlett/qrac004</a>.'
  short: A. Mrnjavac, K. Khudiakova, N.H. Barton, B. Vicoso, Evolution Letters 7 (2023).
corr_author: '1'
date_created: 2023-02-06T13:59:12Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2026-04-27T22:30:22Z
day: '01'
ddc:
- '570'
department:
- _id: GradSch
- _id: BeVi
doi: 10.1093/evlett/qrac004
ec_funded: 1
external_id:
  isi:
  - '001021692200001'
  pmid:
  - '37065438'
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  date_created: 2023-08-16T11:43:33Z
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has_accepted_license: '1'
intvolume: '         7'
isi: 1
issue: '1'
keyword:
- Genetics
- Ecology
- Evolution
- Behavior and Systematics
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
- _id: 250BDE62-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '715257'
  name: Prevalence and Influence of Sexual Antagonism on Genome Evolution
publication: Evolution Letters
publication_identifier:
  issn:
  - 2056-3744
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
  record:
  - id: '18531'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Slower-X: Reduced efficiency of selection in the early stages of X chromosome
  evolution'
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2023'
...
---
_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. <i>Bulletin
    of Mathematical Biology</i>. 2022;84(8). doi:<a href="https://doi.org/10.1007/s11538-022-01029-z">10.1007/s11538-022-01029-z</a>
  apa: Saona Urmeneta, R. J., Kondrashov, F., &#38; Khudiakova, K. (2022). Relation
    between the number of peaks and the number of reciprocal sign epistatic interactions.
    <i>Bulletin of Mathematical Biology</i>. Springer Nature. <a href="https://doi.org/10.1007/s11538-022-01029-z">https://doi.org/10.1007/s11538-022-01029-z</a>
  chicago: Saona Urmeneta, Raimundo J, Fyodor Kondrashov, and Kseniia Khudiakova.
    “Relation between the Number of Peaks and the Number of Reciprocal Sign Epistatic
    Interactions.” <i>Bulletin of Mathematical Biology</i>. Springer Nature, 2022.
    <a href="https://doi.org/10.1007/s11538-022-01029-z">https://doi.org/10.1007/s11538-022-01029-z</a>.
  ieee: R. J. Saona Urmeneta, F. Kondrashov, and K. Khudiakova, “Relation between
    the number of peaks and the number of reciprocal sign epistatic interactions,”
    <i>Bulletin of Mathematical Biology</i>, 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.” <i>Bulletin of Mathematical
    Biology</i>, vol. 84, no. 8, 74, Springer Nature, 2022, doi:<a href="https://doi.org/10.1007/s11538-022-01029-z">10.1007/s11538-022-01029-z</a>.
  short: R.J. Saona Urmeneta, F. Kondrashov, K. Khudiakova, Bulletin of Mathematical
    Biology 84 (2022).
corr_author: '1'
date_created: 2022-06-17T16:16:15Z
date_published: 2022-06-17T00:00:00Z
date_updated: 2026-04-15T08:51:10Z
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'
  pmid:
  - '35713756'
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
pmid: 1
project:
- _id: 26580278-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '771209'
  name: Characterizing the fitness landscape on population and global scales
- _id: 34e076d6-11ca-11ed-8bc3-aec76c41a181
  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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 84
year: '2022'
...
---
_id: '9387'
abstract:
- lang: eng
  text: We report the complete analysis of a deterministic model of deleterious mutations
    and negative selection against them at two haploid loci without recombination.
    As long as mutation is a weaker force than selection, mutant alleles remain rare
    at the only stable equilibrium, and otherwise, a variety of dynamics are possible.
    If the mutation-free genotype is absent, generally the only stable equilibrium
    is the one that corresponds to fixation of the mutant allele at the locus where
    it is less deleterious. This result suggests that fixation of a deleterious allele
    that follows a click of the Muller’s ratchet is governed by natural selection,
    instead of random drift.
acknowledgement: This work was supported by the Russian Science Foundation grant N
  16-14-10173.
article_number: '110729'
article_processing_charge: No
article_type: original
author:
- first_name: Kseniia
  full_name: Khudiakova, Kseniia
  id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
  last_name: Khudiakova
  orcid: 0000-0002-6246-1465
- first_name: Tatiana Yu.
  full_name: Neretina, Tatiana Yu.
  last_name: Neretina
- first_name: Alexey S.
  full_name: Kondrashov, Alexey S.
  last_name: Kondrashov
citation:
  ama: Khudiakova K, Neretina TY, Kondrashov AS. Two linked loci under mutation-selection
    balance and Muller’s ratchet. <i>Journal of Theoretical Biology</i>. 2021;524.
    doi:<a href="https://doi.org/10.1016/j.jtbi.2021.110729">10.1016/j.jtbi.2021.110729</a>
  apa: Khudiakova, K., Neretina, T. Y., &#38; Kondrashov, A. S. (2021). Two linked
    loci under mutation-selection balance and Muller’s ratchet. <i>Journal of Theoretical
    Biology</i>. Elsevier . <a href="https://doi.org/10.1016/j.jtbi.2021.110729">https://doi.org/10.1016/j.jtbi.2021.110729</a>
  chicago: Khudiakova, Kseniia, Tatiana Yu. Neretina, and Alexey S. Kondrashov. “Two
    Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” <i>Journal
    of Theoretical Biology</i>. Elsevier , 2021. <a href="https://doi.org/10.1016/j.jtbi.2021.110729">https://doi.org/10.1016/j.jtbi.2021.110729</a>.
  ieee: K. Khudiakova, T. Y. Neretina, and A. S. Kondrashov, “Two linked loci under
    mutation-selection balance and Muller’s ratchet,” <i>Journal of Theoretical Biology</i>,
    vol. 524. Elsevier , 2021.
  ista: Khudiakova K, Neretina TY, Kondrashov AS. 2021. Two linked loci under mutation-selection
    balance and Muller’s ratchet. Journal of Theoretical Biology. 524, 110729.
  mla: Khudiakova, Kseniia, et al. “Two Linked Loci under Mutation-Selection Balance
    and Muller’s Ratchet.” <i>Journal of Theoretical Biology</i>, vol. 524, 110729,
    Elsevier , 2021, doi:<a href="https://doi.org/10.1016/j.jtbi.2021.110729">10.1016/j.jtbi.2021.110729</a>.
  short: K. Khudiakova, T.Y. Neretina, A.S. Kondrashov, Journal of Theoretical Biology
    524 (2021).
date_created: 2021-05-12T05:58:42Z
date_published: 2021-04-24T00:00:00Z
date_updated: 2025-06-12T06:40:55Z
day: '24'
department:
- _id: GradSch
doi: 10.1016/j.jtbi.2021.110729
external_id:
  isi:
  - '000659161500002'
  pmid:
  - '33901507'
intvolume: '       524'
isi: 1
keyword:
- General Biochemistry
- Genetics and Molecular Biology
- Modelling and Simulation
- Statistics and Probability
- General Immunology and Microbiology
- Applied Mathematics
- General Agricultural and Biological Sciences
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.biorxiv.org/content/10.1101/477489v1
month: '04'
oa: 1
oa_version: Preprint
pmid: 1
publication: Journal of Theoretical Biology
publication_identifier:
  issn:
  - 0022-5193
publication_status: published
publisher: 'Elsevier '
quality_controlled: '1'
scopus_import: '1'
status: public
title: Two linked loci under mutation-selection balance and Muller’s ratchet
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 524
year: '2021'
...