Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Benoît Perthame"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 16, Iss 5, Pp 4818-4845 (2019)
We propose a mathematical model to describe the evolution of hematopoietic stem cells (HSCs) and stromal cells in considering the bi-directional interaction between them. Cancerous cells are also taken into account in our model. HSCs are structured b
Externí odkaz:
https://doaj.org/article/41b3e95cd2fd4d82b3fd30280b158652
Autor:
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luis Almeida, Benoît Perthame, Daniel A. M. Villela
Publikováno v:
Journal of Biological Dynamics, Vol 13, Iss 1, Pp 269-300 (2019)
Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations in mosquito populations independent of seasonality, still unexplained
Externí odkaz:
https://doaj.org/article/2ced435ab44b4b07906943d8c97185d2
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 1, Pp 38-54 (2018)
This paper exemplifies the relationships between career plans and wage structures. It relieson an innovative methodological approach using the mean field games (MFG) theory in a problem ofworkers management engineering. We describe how an individual
Externí odkaz:
https://doaj.org/article/cb8405592c2d478f9b849bdf8604a08d
Autor:
Benoît Perthame
Publikováno v:
Journal of the Egyptian Mathematical Society, Vol 19, Iss 1, Pp 52-56 (2011)
Various classes of Partial Differential Equations have shown to be successful in describing the self-organization of bacterial colonies, a topic also sometimes called socio-biology. For instance parabolic systems are standard; the classical Patlak–
Externí odkaz:
https://doaj.org/article/0e75d6183d82492597ad8ecaec752d1a
Autor:
Jonathan Saragosti, Vincent Calvez, Nikolaos Bournaveas, Axel Buguin, Pascal Silberzan, Benoît Perthame
Publikováno v:
PLoS Computational Biology, Vol 6, Iss 8, Pp 1657-1680 (2010)
The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on Escherichia coli have shown the precise structure of traveling pulses. We present here an alternative mathematical
Externí odkaz:
https://doaj.org/article/6822ae303b5d46e3a7214a5ddd3d0d3a
Publikováno v:
Comptes Rendus. Mécanique. 351:1-20
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 40:259-286
Autor:
Benoît Perthame, Noemi David
Publikováno v:
Journal de Mathématiques Pures et Appliquées
Journal de Mathématiques Pures et Appliquées, Elsevier, 2021
Journal de Mathématiques Pures et Appliquées, 2021, 155, pp.62-82. ⟨10.1016/j.matpur.2021.01.007⟩
Journal de Mathématiques Pures et Appliquées, Elsevier, 2021
Journal de Mathématiques Pures et Appliquées, 2021, 155, pp.62-82. ⟨10.1016/j.matpur.2021.01.007⟩
International audience; Both compressible and incompressible porous medium models are used in the literature to describe the mechanical properties of living tissues. These two classes of models can be related using a stiff pressure law. In the incomp
Publikováno v:
Journal of Computational Physics
Journal of Computational Physics, 2022, 464, pp.111335. ⟨10.1016/j.jcp.2022.111335⟩
Journal of Computational Physics, 2022, 464, pp.111335. ⟨10.1016/j.jcp.2022.111335⟩
International audience; We propose an asymptotic preserving (A-P) scheme for a population model structured by age and a phenotypical trait with or without mutations. As proved in [26], Dirac concentrations on particular phenotypical traits appear in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e7bd29a2608a3b4356eec40372e24ca
https://hal.science/hal-02438316v2/file/AP_age-structure_RUAN.pdf
https://hal.science/hal-02438316v2/file/AP_age-structure_RUAN.pdf
Publikováno v:
Nonlinearity
Nonlinearity, 2022, ⟨10.1088/1361-6544/ac8714⟩
Nonlinearity, 2022, ⟨10.1088/1361-6544/ac8714⟩
We introduce and study an extension of the classical elapsed time equation in the context of neuron populations that are described by the elapsed time since last discharge. In this extension, we incorporate the elapsed time since the penultimate disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f03756ad3cb8466f5013cab373cbf4ee
https://hal.science/hal-03324280v3/file/Article.pdf
https://hal.science/hal-03324280v3/file/Article.pdf