The speed of invasion in an advancing population

We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. The model was introduced and studied heuristically and numerically in a paper by Venegas-Ortiz et al. (Genetics 196:497–50...

Descripción completa

Detalles Bibliográficos
Autores principales: Bovier, Anton, Hartung, Lisa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10497670/
https://www.ncbi.nlm.nih.gov/pubmed/37700017
http://dx.doi.org/10.1007/s00285-023-01989-3
_version_ 1785105356363399168
author Bovier, Anton
Hartung, Lisa
author_facet Bovier, Anton
Hartung, Lisa
author_sort Bovier, Anton
collection PubMed
description We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. The model was introduced and studied heuristically and numerically in a paper by Venegas-Ortiz et al. (Genetics 196:497–507, 2014). In that paper, it was noted that the speed of invasion by the mutant trait is faster when the resident population is expanding in space compared to the speed when the resident population is already present everywhere. We use the Feynman–Kac representation to provide rigorous estimates that confirm these predictions.
format Online
Article
Text
id pubmed-10497670
institution National Center for Biotechnology Information
language English
publishDate 2023
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-104976702023-09-14 The speed of invasion in an advancing population Bovier, Anton Hartung, Lisa J Math Biol Article We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. The model was introduced and studied heuristically and numerically in a paper by Venegas-Ortiz et al. (Genetics 196:497–507, 2014). In that paper, it was noted that the speed of invasion by the mutant trait is faster when the resident population is expanding in space compared to the speed when the resident population is already present everywhere. We use the Feynman–Kac representation to provide rigorous estimates that confirm these predictions. Springer Berlin Heidelberg 2023-09-12 2023 /pmc/articles/PMC10497670/ /pubmed/37700017 http://dx.doi.org/10.1007/s00285-023-01989-3 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Bovier, Anton
Hartung, Lisa
The speed of invasion in an advancing population
title The speed of invasion in an advancing population
title_full The speed of invasion in an advancing population
title_fullStr The speed of invasion in an advancing population
title_full_unstemmed The speed of invasion in an advancing population
title_short The speed of invasion in an advancing population
title_sort speed of invasion in an advancing population
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10497670/
https://www.ncbi.nlm.nih.gov/pubmed/37700017
http://dx.doi.org/10.1007/s00285-023-01989-3
work_keys_str_mv AT bovieranton thespeedofinvasioninanadvancingpopulation
AT hartunglisa thespeedofinvasioninanadvancingpopulation
AT bovieranton speedofinvasioninanadvancingpopulation
AT hartunglisa speedofinvasioninanadvancingpopulation

Ejemplares similares