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pro vyhledávání: '"Calvez, Vincent"'
The Fisher infinitesimal model is a classical model of phenotypic trait inheritance in quantitative genetics. Here, we prove that it encompasses a remarkable convexity structure which is compatible with a selection function having a convex shape. It
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5b54595d9c402c7066a9af72a283938b
http://arxiv.org/abs/2302.12063
http://arxiv.org/abs/2302.12063
Understanding the temporal spread of gene drive alleles -- alleles that bias their own transmission -- through modeling is essential before any field experiments. In this paper, we present a deterministic reaction-diffusion model describing the inter
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4245a54d8e9a1ad7c510a3ca2c3a270b
Publikováno v:
Theoretical Population Biology
Theoretical Population Biology, 2022, 148, pp.49-75. ⟨10.1016/j.tpb.2022.10.002⟩
Theoretical Population Biology, 2022, 148, pp.49-75. ⟨10.1016/j.tpb.2022.10.002⟩
International audience; Numerous traits under migration-selection balance are shown to exhibit complex patterns of genetic architecture with large variance in effect sizes. However, the conditions under which such genetic architectures are stable hav
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::307bc50378b9a363ba5c048f1b9349bd
https://hal.archives-ouvertes.fr/hal-03440065
https://hal.archives-ouvertes.fr/hal-03440065
We study the convergence towards a unique equilibrium distribution of the solutions to a time-discrete model with non-overlapping generations arising in quantitative genetics. The model describes the dynamics of a phenotypic distribution with respect
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46795a301056d15ff8140def723e436e
Self-generated gradients have atttracted a lot of attention in the recent biological literature. It is considered as a robust strategy for a group of cells to find its way during a long journey. This note is intended to discuss various scenarios for
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42688bbc406798e9b245fdfee791ef24
Autor:
Calvez, Vincent, Hoffmann, Franca
We perform the nonlinear stability analysis of a chemotaxis model of bacterial self-organization, assuming that bacteria respond sharply to chemical signals. The resulting discontinuous advection speed represents the key challenge for the stability a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c484396e5a7b826a248c849859208eae
http://arxiv.org/abs/2009.11048
http://arxiv.org/abs/2009.11048
We investigate numerically a model consisting in a kinetic equation for the biased motion of bacteria following a run-and-tumble process, coupled with two reaction-diffusion equations for chemical signals. This model exhibits asymptotic propagation a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::505148d1b16792cd19bcc22a3d41e284
http://arxiv.org/abs/1811.09161
http://arxiv.org/abs/1811.09161
The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime
Autor:
Carrillo, José Antonio, del Pino, Manuel, Figalli, Alessio, Mingione, Giuseppe, Vázquez, Juan Luis, Calvez, Vincent, Hoffmann, Franca
Publikováno v:
CIME courses
Lecture Notes in Mathematics
Lecture Notes in Mathematics-Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions ISBN: 9783319614939
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions, pp.1-71, 2017
Lecture Notes in Mathematics
Lecture Notes in Mathematics-Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions ISBN: 9783319614939
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions, pp.1-71, 2017
We consider an aggregation-diffusion equation modelling particle interaction with non-linear diffusion and non-local attractive interaction using a homogeneous kernel (singular and non-singular) leading to variants of the Keller-Segel model of chemot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3da32a3a8697763a12131bb1a7e55c27
https://hal.archives-ouvertes.fr/hal-02131664
https://hal.archives-ouvertes.fr/hal-02131664
The existence of travelling waves for a coupled system of hyperbolic/ parabolic equations is established in the case of a finite number of velocities in the kinetic equation. This finds application in collective motion of chemotactic bacteria. The an
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6620a08213637ee6d3218d3c80b444f8
We study a birth and death model for the adapatation of a sexual population to an environment. The population is structured by a phenotypical trait, and, possibly, an age variable. Recombination is modeled by Fisher's infinitesimal operator. We prove
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9e145f1ce21d27a5168dd30c92978f4f