Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Delphine Salort"'
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
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
The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a stochastic differential equation system. When the total activity of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::79833736ee399ff8bc1688a323c890bf
https://doi.org/10.1080/03605302.2019.1639732
https://doi.org/10.1080/03605302.2019.1639732
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
Autor:
Delphine Salort, Pierre Roux
The Nonlinear Noisy Leaky Integrate and Fire (NNLIF) model is widely used to describe the dynamics of neural networks after a diffusive approximation of the mean-field limit of a stochastic differential equation. In previous works, many qualitative r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffc941100c1c998cba6c403c86238d26
https://ora.ox.ac.uk/objects/uuid:30666381-9d3e-4827-9b88-5323332496f7
https://ora.ox.ac.uk/objects/uuid:30666381-9d3e-4827-9b88-5323332496f7
Publikováno v:
Bulletin of the Brazilian Mathematical Society, New Series. 52:101-134
We present the conductance limit of the voltage–conductance model with random firing voltage when conductance dynamics are slower than the voltage dynamics. The result of the limiting procedure is a transport/Fokker–Planck equation for conductanc
Publikováno v:
Royal Society Open Science
Royal Society Open Science, 2021, 8 (8), pp.210460. ⟨10.1098/rsos.210460⟩
Royal Society Open Science, The Royal Society, 2021, 8 (8), pp.210460. ⟨10.1098/rsos.210460⟩
Royal Society Open Science, Vol 8, Iss 8 (2021)
Royal Society Open Science, 2021, 8 (8), pp.210460. ⟨10.1098/rsos.210460⟩
Royal Society Open Science, The Royal Society, 2021, 8 (8), pp.210460. ⟨10.1098/rsos.210460⟩
Royal Society Open Science, Vol 8, Iss 8 (2021)
In response to DNA damage, efficient repair is essential for cell survival and genome integrity. In eukaryotes, the DNA damage checkpoint is a signalling pathway that coordinates this response and arrests the cell cycle to provide time for repair. Ho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7e40516e5e4eece1d2357b7d4bdf7b7
https://hal.sorbonne-universite.fr/hal-03350453/document
https://hal.sorbonne-universite.fr/hal-03350453/document
Autor:
Delphine Salort, Nicolas Torres
Publikováno v:
Acta Applicandae Mathematicae
Acta Applicandae Mathematicae, 2020, ⟨10.1007/s10440-020-00367-1⟩
Acta Applicandae Mathematicae, Springer Verlag, 2020, ⟨10.1007/s10440-020-00367-1⟩
Acta Applicandae Mathematicae, 2020, ⟨10.1007/s10440-020-00367-1⟩
Acta Applicandae Mathematicae, Springer Verlag, 2020, ⟨10.1007/s10440-020-00367-1⟩
International audience; We introduce and study a new model of interacting neural networks, incorporating the spatial dimension (e.g. position of neurons across the cortex) and some learning processes. The dynamic of each neural network is described v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff99fd711eb0b15e51e22045d67ddc4f
Publikováno v:
Journal of Nonlinear Science
We show that the ill-posedness observed in backward parabolic equation, or cross-diffusion systems, can be interpreted as a limiting Turing instability for a corresponding semi-linear parabolic system. Our analysis is based on the, now well establish
Publikováno v:
Mathematics in Engineering
Mathematics in Engineering, AIMS, 2018, 1 (1), pp.47-63. ⟨10.3934/Mine.2018.1.47⟩
Mathematics in Engineering, 2018, 1 (1), pp.47-63. ⟨10.3934/Mine.2018.1.47⟩
Mathematics in Engineering, Vol 1, Iss 1, Pp 38-54 (2018)
Mathematics in Engineering, AIMS, 2018, 1 (1), pp.47-63. ⟨10.3934/Mine.2018.1.47⟩
Mathematics in Engineering, 2018, 1 (1), pp.47-63. ⟨10.3934/Mine.2018.1.47⟩
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