Skip to main content
bioRxiv
  • Home
  • About
  • Submit
  • ALERTS / RSS
Advanced Search
New Results

The emergence of a birth-dependent mutation rate in asexuals: causes and consequences

View ORCID ProfileFlorian Patout, View ORCID ProfileRaphaël Forien, Matthieu Alfaro, View ORCID ProfileJulien Papaïx, View ORCID ProfileLionel Roques
doi: https://doi.org/10.1101/2021.06.11.448026
Florian Patout
1INRAE, BioSP, 84914, Avignon, France
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • ORCID record for Florian Patout
Raphaël Forien
1INRAE, BioSP, 84914, Avignon, France
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • ORCID record for Raphaël Forien
Matthieu Alfaro
2Université de Rouen Normandie, CNRS, Laboratoire de Mathématiques Raphaël Salem, Saint-Etienne-du-Rouvray, France
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Julien Papaïx
1INRAE, BioSP, 84914, Avignon, France
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • ORCID record for Julien Papaïx
Lionel Roques
1INRAE, BioSP, 84914, Avignon, France
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • ORCID record for Lionel Roques
  • For correspondence: lionel.roques@inrae.fr
  • Abstract
  • Full Text
  • Info/History
  • Metrics
  • Preview PDF
Loading

Abstract

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the ‘replicator-mutator equation’ often neglect this generation-time effect. In this study, we investigate the emergence of a positive dependence between the birth rate and the mutation rate in models of asexual adaptation and the consequences of this dependence. We show that it emerges naturally at the population scale, based on a large population limit of a stochastic time-continuous individual-based model with elementary assumptions. We derive a reaction-diffusion framework that describes the evolutionary trajectories and steady states in the presence of this dependence. When this model is coupled with a phenotype to fitness landscape with two optima, one for birth, the other one for survival, a new trade-off arises in the population. Compared to the standard approach with a constant mutation rate, the symmetry between birth and survival is broken. Our analytical results and numerical simulations show that the trajectories of mean phenotype, mean fitness and the stationary phenotype distribution are in sharp contrast with those displayed for the standard model. The reason for this is that the usual weak selection limit does not hold in a complex landscape with several optima associated with different values of the birth rate. Here, we obtain trajectories of adaptation where the mean phenotype of the population is initially attracted by the birth optimum, but eventually converges to the survival optimum, following a hook-shaped curve which illustrates the antagonistic effects of mutation on adaptation.

Competing Interest Statement

The authors have declared no competing interest.

Footnotes

  • Version 3 of this preprint has been peer-reviewed and recommended by Peer Community In Mathematical and Computational Biology (https://doi.org/10.24072/pci.mcb.100006).

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
Back to top
PreviousNext
Posted November 16, 2021.
Download PDF
Email

Thank you for your interest in spreading the word about bioRxiv.

NOTE: Your email address is requested solely to identify you as the sender of this article.

Enter multiple addresses on separate lines or separate them with commas.
The emergence of a birth-dependent mutation rate in asexuals: causes and consequences
(Your Name) has forwarded a page to you from bioRxiv
(Your Name) thought you would like to see this page from the bioRxiv website.
CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
Share
The emergence of a birth-dependent mutation rate in asexuals: causes and consequences
Florian Patout, Raphaël Forien, Matthieu Alfaro, Julien Papaïx, Lionel Roques
bioRxiv 2021.06.11.448026; doi: https://doi.org/10.1101/2021.06.11.448026
Reddit logo Twitter logo Facebook logo LinkedIn logo Mendeley logo
Citation Tools
The emergence of a birth-dependent mutation rate in asexuals: causes and consequences
Florian Patout, Raphaël Forien, Matthieu Alfaro, Julien Papaïx, Lionel Roques
bioRxiv 2021.06.11.448026; doi: https://doi.org/10.1101/2021.06.11.448026

Citation Manager Formats

  • BibTeX
  • Bookends
  • EasyBib
  • EndNote (tagged)
  • EndNote 8 (xml)
  • Medlars
  • Mendeley
  • Papers
  • RefWorks Tagged
  • Ref Manager
  • RIS
  • Zotero
  • Tweet Widget
  • Facebook Like
  • Google Plus One

Subject Area

  • Evolutionary Biology
Subject Areas
All Articles
  • Animal Behavior and Cognition (4840)
  • Biochemistry (10766)
  • Bioengineering (8026)
  • Bioinformatics (27216)
  • Biophysics (13947)
  • Cancer Biology (11096)
  • Cell Biology (16019)
  • Clinical Trials (138)
  • Developmental Biology (8764)
  • Ecology (13255)
  • Epidemiology (2067)
  • Evolutionary Biology (17332)
  • Genetics (11670)
  • Genomics (15891)
  • Immunology (11005)
  • Microbiology (26023)
  • Molecular Biology (10620)
  • Neuroscience (56411)
  • Paleontology (417)
  • Pathology (1729)
  • Pharmacology and Toxicology (2999)
  • Physiology (4534)
  • Plant Biology (9610)
  • Scientific Communication and Education (1610)
  • Synthetic Biology (2677)
  • Systems Biology (6963)
  • Zoology (1508)