Journal article
Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system
- Abstract:
- Following previous works about integro-differential equations of parabolic type modelling the Darwinian evolution of a population, we study a two-population system in the cooperative case. First, we provide a theoretical study of the limit of rare mutations and we prove that the limit is described by a constrained Hamilton-Jacobi equation. This equation is given by an eigenvalue of a matrix which accounts for the diffusion parameters and the coefficients of the system. Then, we focus on a particular application: the understanding of a phenomenon called Adaptation to DNA damage. In this framework, we provide several numerical simulations to illustrate our theoretical results and investigate mathematical and biological questions.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 2.6MB, Terms of use)
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- Publisher copy:
- 10.1007/s10440-022-00501-1
Authors
- Publisher:
- Springer
- Journal:
- Acta Applicandae Mathematicae More from this journal
- Volume:
- 180
- Issue:
- 1
- Article number:
- 1
- Publication date:
- 2022-06-21
- Acceptance date:
- 2022-05-22
- DOI:
- EISSN:
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1572-9036
- ISSN:
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0167-8019
- Pmid:
-
35756144
- Language:
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English
- Keywords:
- Pubs id:
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1265952
- Local pid:
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pubs:1265952
- Deposit date:
-
2022-09-12
Terms of use
- Copyright holder:
- Léculier and Roux
- Copyright date:
- 2022
- Rights statement:
- © The Author(s) 2022. 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.
- Licence:
- CC Attribution (CC BY)
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