Zobrazeno 1 - 10
of 140
pro vyhledávání: '"J Frédéric Bonnans"'
Publikováno v:
PLoS Computational Biology, Vol 17, Iss 7, p e1009214 (2021)
The chemical master equation and its continuum approximations are indispensable tools in the modeling of chemical reaction networks. These are routinely used to capture complex nonlinear phenomena such as multimodality as well as transient events suc
Externí odkaz:
https://doaj.org/article/4b872ddcf3104a8c8a77ca4519d77ae8
Publikováno v:
SIAM Journal on Control and Optimization. 61:105-134
The objective of this paper is to analyze the existence of equilibria for a class of deterministic mean field games of controls. The interaction between players is due to both a congestion term and a price function which depends on the distributions
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c12289356659dd60344710c6a8790c26
https://doi.org/10.1137/21m1407720
https://doi.org/10.1137/21m1407720
Autor:
Adrien Seguret, Clemence Alasseur, J. Frédéric Bonnans, Antonio De Paola, Nadia Oudjane, Vincenzo Trovato
Publikováno v:
Applied Mathematics and Optimization
Applied Mathematics and Optimization, 2023, 88 (8), pp.35
Applied Mathematics and Optimization, 2023, 88 (8), pp.35
We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a modified problem, whose optimal control is under some reasonable assump
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e39e2ef1f88aeeea38908e88e579e04c
https://doi.org/10.1007/s00245-023-09977-1
https://doi.org/10.1007/s00245-023-09977-1
Publikováno v:
Mathematical Biosciences
Mathematical Biosciences, 2022, 350, pp.108866. ⟨10.1016/j.mbs.2022.108866⟩
Mathematical Biosciences, 2022, 350, pp.108866. ⟨10.1016/j.mbs.2022.108866⟩
International audience; Stochastic chemical kinetics at the single-cell level give rise to heterogeneous populations of cells even when all individuals are genetically identical. This heterogeneity can lead to nonuniform behaviour within populations,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14212f313e6fc1157524bf5e2f22177b
https://inria.hal.science/hal-03479587
https://inria.hal.science/hal-03479587
Publikováno v:
Set-Valued and Variational Analysis. 29:383-408
In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The state constraints are of integral type, the integral being with respect to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e79cfcd186d20bb6a592175e5b2e2ff0
https://doi.org/10.1007/s11228-020-00560-2
https://doi.org/10.1007/s11228-020-00560-2
Autor:
Justina Gianatti, J. Frédéric Bonnans
Publikováno v:
SIAM Journal on Control and Optimization. 58:2206-2235
The aim of this work is to study an optimal control problem with state constraints where the state is given by an age-structured, abstract parabolic differential equation. We prove the existence and uniqueness of solution for the state equation and p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98c77e85710f796a45af0b59e1eb0e7d
https://doi.org/10.1137/19m1271257
https://doi.org/10.1137/19m1271257
Publikováno v:
Journal of Mathematical Biology
Journal of Mathematical Biology, 2023, 86 (3), pp.43. ⟨10.1007/s00285-023-01876-x⟩
Journal of Mathematical Biology, 2023, 86 (3), pp.43. ⟨10.1007/s00285-023-01876-x⟩
International audience; Cell-to-cell variability, born of stochastic chemical kinetics, persists even in large isogenic populations. In the study of single-cell dynamics this is typically accounted for. However, on the population level this source of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eca37e1cb5735495ac16f66575b1413c
https://hal.inria.fr/hal-03445175/file/bioproduction.pdf
https://hal.inria.fr/hal-03445175/file/bioproduction.pdf
Second order monotone finite differences discretization of linear anisotropic differential operators
Publikováno v:
Mathematics of Computation
Mathematics of Computation, American Mathematical Society, 2021, Mathematics of Computation, 90, pp.2671-2703. ⟨10.1090/mcom/3671⟩
HAL
Mathematics of Computation, 2021, Mathematics of Computation, 90, pp.2671-2703. ⟨10.1090/mcom/3671⟩
Mathematics of Computation, American Mathematical Society, 2021, Mathematics of Computation, 90, pp.2671-2703. ⟨10.1090/mcom/3671⟩
HAL
Mathematics of Computation, 2021, Mathematics of Computation, 90, pp.2671-2703. ⟨10.1090/mcom/3671⟩
International audience; We design adaptive finite differences discretizations, which are degenerate elliptic and second order consistent, of linear and quasi-linear partial differential operators featuring both a first order term and an anisotropic s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a3be4d40c5b89579292f1abdf201cb3
https://hal.archives-ouvertes.fr/hal-03084046v2/document
https://hal.archives-ouvertes.fr/hal-03084046v2/document
Publikováno v:
Applied Mathematics and Optimization
Applied Mathematics and Optimization, Springer Verlag (Germany), 2019, pp.34
Applied Mathematics and Optimization, 2019, pp.34
Applied Mathematics and Optimization, Springer Verlag (Germany), 2019, pp.34
Applied Mathematics and Optimization, 2019, pp.34
An existence result for a class of mean field games of controls is provided. In the considered model, the cost functional to be minimized by each agent involves a price depending at a given time on the controls of all agents and a congestion term. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9529779d3adf0c29472c5bbe6f20f6ff
https://doi.org/10.1007/s00245-019-09592-z
https://doi.org/10.1007/s00245-019-09592-z
Publikováno v:
ESAIM: Probability and Statistics
ESAIM: Probability and Statistics, EDP Sciences, 2021, 25, pp.1-30. ⟨10.1051/ps/2020028⟩
ESAIM: Probability and Statistics, 2021, 25, pp.1-30. ⟨10.1051/ps/2020028⟩
ESAIM: Probability and Statistics, EDP Sciences, 2021, 25, pp.1-30. ⟨10.1051/ps/2020028⟩
ESAIM: Probability and Statistics, 2021, 25, pp.1-30. ⟨10.1051/ps/2020028⟩
International audience; In this paper, we tackle the problem of quantifying the closeness of a newly observed curve to a given sample of random functions, supposed to have been sampled from the same distribution. We define a probabilistic criterion f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec4d86deec2b8e207ac32fe507c18457
https://hal.archives-ouvertes.fr/hal-03160007/file/ps190040.pdf
https://hal.archives-ouvertes.fr/hal-03160007/file/ps190040.pdf