ArticleActa applicandae mathematicae2022
Adaptation to DNA Damage, an Asymptotic Approach for a Cooperative Non-local System.
Article in Acta applicandae mathematicae, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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Who cites it
1 citing paper in PubMed.
- DNA damage checkpoint execution and the rules of its disengagement.Frontiers in cell and developmental biology · 2022Review
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2 authors.
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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.
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