Asymptotic approach to spatial and dynamical organizations

Información del proyecto

ADORA

Identificador del acuerdo de subvención: 740623

DOI

10.3030/740623

Proyecto cerrado

Fecha de la firma de la CE 30 Mayo 2017

Fecha de inicio 1 Septiembre 2017

Fecha de finalización 28 Febrero 2023

Financiado con arreglo a

• EXCELLENT SCIENCE - European Research Council (ERC)

Coste total

€ 2 192 500,00

Aportación de la UE

€ 2 192 500,00

Coordinado por

SORBONNE UNIVERSITE
France

CORDIS proporciona enlaces a los documentos públicos y las publicaciones de los proyectos de los programas marco HORIZONTE.

Los enlaces a los documentos y las publicaciones de los proyectos del Séptimo Programa Marco, así como los enlaces a algunos tipos de resultados específicos, como conjuntos de datos y «software», se obtienen dinámicamente de OpenAIRE .

Publicaciones

Peer reviewed articles (54)

Analysis of the Rolling Carpet Strategy to Eradicate an Invasive Species

Autores: Luis Almeida; Alexis Léculier; Nicolas Vauchelet
Publicado en: SIAM Journal on Mathematical Analysis, Edición 6, 2023, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1427243

Adaptation to DNA Damage, an Asymptotic Approach for a Cooperative Non-local System

Autores: A. Leculier, P. Roux
Publicado en: Acta Applicandae Mathematicae, 2022, ISSN 1572-9036
Editor: Springer
DOI: 10.1007/s10440-022-00501-1

Topologically-based fractional diffusion and emergent dynamics with short-range interactions

Autores: Shvydkoy, Roman; Tadmor, Eitan
Publicado en: SIAM Journal on Mathematical Analysis, Edición 10, 2020, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.1806.01371

Fast voltage dynamics of voltage-conductance models for neural networks

Autores: Kim, Jeongho; Perthame, Benoît; Salort, Delphine
Publicado en: https://hal.sorbonne-universite.fr/hal-02427825, Edición 2, 2021, ISSN 1678-7544
Editor: Sociedade Brasileira de Matematica
DOI: 10.1007/s00574-019-00192-7

Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility

Autores: Tommaso Lorenzi; Benoît Perthame; Xinran Ruan
Publicado en: European J. Appl. Math., Edición 5, 2022, ISSN 1469-4425
Editor: Cambridge University Press
DOI: 10.48550/arxiv.2007.13084

Anticipation Breeds Alignment

Autores: Ruiwen Shu; Eitan Tadmor
Publicado en: Archive for Rational Mechanics and Analysis, Edición 1, 2021, ISSN 1432-0673
Editor: Springer
DOI: 10.48550/arxiv.1905.00633

Dynamics of Neural Networks with Elapsed Time Model and Learning Processes

Autores: Nicolas Torres, Delphine Salort
Publicado en: Acta Applicandae Mathematicae, Edición 170/1, 2020, Página(s) 1065-1099, ISSN 0167-8019
Editor: Kluwer Academic Publishers
DOI: 10.1007/s10440-020-00367-1

From Vlasov Equation to Degenerate Nonlocal Cahn-Hilliard Equation

Autores: Charles Elbar; Marco Mason; Benoît Perthame; Jakub Skrzeczkowski
Publicado en: Comm. Math. Phys., Edición 9, 2022, ISSN 1432-0916
Editor: Springer
DOI: 10.1007/s00220-023-04663-3

A multiple time renewal equation for neural assemblies with elapsed time model

Autores: Nicolás Torres; Benoît Perthame; Delphine Salort
Publicado en: Nonlinearity, 2022, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac8714

Collective motion driven by nutrient consumption

Autores: Jabin, Pierre-Emmanuel; Perthame, Benoît
Publicado en: Asymptotic Analysis, Edición 8, 2023, ISSN 0921-7134
Editor: IOS Press
DOI: 10.3233/asy-221820

Fast reaction limit with nonmonotone reaction function

Autores: Benoît Perthame; Jakub Skrzeczkowski
Publicado en: CPMA, Edición 8, 2022, ISSN 1097-0312
Editor: Wilay
DOI: 10.48550/arxiv.2008.11086

Selection-mutation dynamics with asymmetrical reproduction kernels

Autores: Benoît Perthame; Martin Strugarek; Cécile Taing
Publicado en: Nonlinear Analysis: Theory, Methods and Applications, Edición 222, 2022, ISSN 0362-546X
Editor: Pergamon Press Ltd.
DOI: 10.48550/arxiv.2111.06648

Motility switching and front-back synchronisation in polarized cells

Autores: Gissell Estrada-Rodriguez; Benoit Perthame
Publicado en: J. Nonlinear Sci., Edición 32, 2022, ISSN 0938-8974
Editor: Springer Verlag
DOI: 10.48550/arxiv.2109.08981

Optimal regularity in time and space for the porous medium equation

Autores: Benjamin Gess; Jonas Sauer; Eitan Tadmor
Publicado en: Analysis of PDEs, Edición 3, 2020, ISSN 2157-5045
Editor: Mathematical Sciences Publishers
DOI: 10.2140/apde.2020.13.2441

Kinetic models for epidemic dynamics with social heterogeneity.

Autores: Giacomo Dimarco; Benoît Perthame; Giuseppe Toscani; Mattia Zanella
Publicado en: Journal of Mathematical Biology, Edición 83, 2021, ISSN 0303-6812
Editor: Springer Verlag
DOI: 10.1007/s00285-021-01630-1

A coupled 3D-1D multiscale Keller-Segel model of chemotaxis and its application to cancer invasion

Autores: Federica Bubba; Benoit Perthame; Daniele Cerroni; Pasquale Ciarletta; Paolo Zunino
Publicado en: Discrete Contin. Dyn. Syst. Ser. S, Edición 15, 2022, ISSN 1937-1632
Editor: American Institute of Mathematical Sciences
DOI: 10.3934/dcdss.2022044

Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility

Autores: Benoît Perthame; Alexandre Poulain
Publicado en: European J. Appl. Math., Edición 32, 2021, ISSN 1469-4425
Editor: Cambridge Univ. Press
DOI: 10.1017/s0956792520000054

An Asymptotic Preserving Scheme for Capturing Concentrations in Age-structured Models Arising in Adaptive Dynamics

Autores: Luis Almeida; Benoît Perthame; Xinran Ruan
Publicado en: J. Comput. Phys., Edición 464, 2022, ISSN 0021-9991
Editor: Academic Press
DOI: 10.1016/j.jcp.2022.111335

A nonnegativity preserving scheme for the relaxed Cahn-Hilliard equation with single-well potential and degenerate mobility

Autores: Federica Bubba; Alexandre Poulain
Publicado en: ESAIM: M2AN, 2022, ISSN 2804-7214
Editor: EDP-Sciences
DOI: 10.1051/m2an/2022050

Multiple asymptotics of kinetic equations with internal states

Autores: Benoit Perthame, Weiran Sun, Min Tang, Shugo Yasuda
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 30/06, 2020, Página(s) 1041-1073, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.1142/S0218202520400060

Final size and convergence rate for an epidemic in heterogeneous population

Autores: Almeida, Lu��s; Bliman, Pierre-Alexandre; Nadin, Gr��goire; Perthame, Beno��t; Vauchelet, Nicolas
Publicado en: Mathematical Models and Methods in Applied Sciences, Edición 31, 2021, ISSN 0218-2025
Editor: World Scientific Publishing Co
DOI: 10.48550/arxiv.2010.15410

Transport costs for PDEs: the coupling method

Autores: Fournier, Nicolas; Perthame, Benoît
Publicado en: EMS Surv. Math. Sci., Edición 2, 2020, ISSN 2308-2151
Editor: EMS press
DOI: 10.4171/emss/35

A mathematical model to study the impact of intra-tumour heterogeneity on anti-tumour CD8 + T cell immune response

Autores: Emma Leschiera; Tommaso Lorenzi; Shensi Shen; Luis Almeida; Chloe Audebert
Publicado en: Journal of Theoretical Biology, 2022, 2022, ISSN 0022-5193
Editor: Academic Press
DOI: 10.1016/j.jtbi.2022.111028

The fractional diffusion limit of a kinetic model with biochemical pathway

Autores: Benoît Perthame, Weiran Sun, Min Tang
Publicado en: Zeitschrift für angewandte Mathematik und Physik, Edición 69/3, 2018, ISSN 0044-2275
Editor: Birkhauser Verlag
DOI: 10.1007/s00033-018-0964-3

Backward Parabolicity, Cross-Diffusion and Turing Instability

Autores: Ayman Moussa, Benoît Perthame, Delphine Salort
Publicado en: Journal of Nonlinear Science, Edición 29/1, 2019, Página(s) 139-162, ISSN 0938-8974
Editor: Springer Verlag
DOI: 10.1007/s00332-018-9480-z

Analysis of a System Describing Proliferative-Quiescent Cell Dynamics

Autores: Jean Clairambault, Benoît Perthame, Andrada Quillas Maran
Publicado en: Chinese Annals of Mathematics, Series B, Edición 39/2, 2018, Página(s) 345-356, ISSN 0252-9599
Editor: World Scientific Publishing Co
DOI: 10.1007/s11401-018-1068-2

Traveling wave and aggregation in a flux-limited Keller-Segel model

Autores: Vincent Calvez, Benoȋt Perthame, Shugo Yasuda
Publicado en: Kinetic & Related Models, Edición 11/4, 2018, Página(s) 891-909, ISSN 1937-5077
Editor: AIMS
DOI: 10.3934/krm.2018035

Long-Time Asymptotics for Polymerization Models

Autores: Juan Calvo, Marie Doumic, Benoît Perthame
Publicado en: Communications in Mathematical Physics, Edición 363/1, 2018, Página(s) 111-137, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-018-3218-5

Analytical examples of diffusive waves generated by a traveling wave

Autores: Harold Moundoyi, Ayman Moussa, Benoît Perthame, Benoît Sarels
Publicado en: Applicable Analysis, Edición 96/9, 2017, Página(s) 1596-1615, ISSN 0003-6811
Editor: Taylor & Francis
DOI: 10.1080/00036811.2017.1314463

Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations

Autores: Luis Almeida, Federica Bubba, Benoît Perthame, Camille Pouchol
Publicado en: Networks & Heterogeneous Media, Edición 14/1, 2019, Página(s) 23-41, ISSN 1556-181X
Editor: AIMS
DOI: 10.3934/nhm.2019002

Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation

Autores: Benoît Perthame, Shugo Yasuda
Publicado en: Nonlinearity, Edición 31/9, 2018, Página(s) 4065-4089, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aac760

A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells

Autores: Federica Bubba, Camille Pouchol, Nathalie Ferrand, Guillaume Vidal, Luis Almeida, Benoît Perthame, Michèle Sabbah
Publicado en: Journal of Theoretical Biology, Edición 479, 2019, Página(s) 73-80, ISSN 0022-5193
Editor: Academic Press
DOI: 10.1016/j.jtbi.2019.07.002

Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis

Autores: Thanh Nam Nguyen, Jean Clairambault, Thierry Jaffredo, Benoît Perthame, Delphine Salort
Publicado en: Mathematical Biosciences and Engineering, Edición 16/5, 2019, Página(s) 4818-4845, ISSN 1551-0018
Editor: AIMS press
DOI: 10.3934/mbe.2019243

Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons

Autores: Benoît Perthame, Delphine Salort
Publicado en: Communications in Mathematical Sciences, Edición 17/5, 2019, Página(s) 1193-1211, ISSN 1539-6746
Editor: International Press
DOI: 10.4310/cms.2019.v17.n5.a2

Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues

Autores: Federica Bubba, Benoît Perthame, Camille Pouchol, Markus Schmidtchen
Publicado en: Archive for Rational Mechanics and Analysis, Edición 236/2, 2020, Página(s) 735-766, ISSN 0003-9527
Editor: Springer Verlag
DOI: 10.1007/s00205-019-01479-1

A two-species hyperbolic–parabolic model of tissue growth

Autores: Piotr Gwiazda, Benoît Perthame, Agnieszka Świerczewska-Gwiazda
Publicado en: Communications in Partial Differential Equations, Edición 44/12, 2019, Página(s) 1605-1618, ISSN 0360-5302
Editor: Marcel Dekker Inc.
DOI: 10.1080/03605302.2019.1650064

Super-linear propagation for a general, local cane toads model

Autores: Christopher Henderson, Benoît Perthame, Panagiotis Souganidis
Publicado en: Interfaces and Free Boundaries, Edición 20/4, 2018, Página(s) 483-509, ISSN 1463-9963
Editor: European Mathematical Society Publishing House
DOI: 10.4171/ifb/409

Oscillatory regimes in a mosquito population model with larval feedback on egg hatching

Autores: Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luis Almeida, Benoît Perthame, Daniel A. M. Villela
Publicado en: Journal of Biological Dynamics, Edición 13/1, 2019, Página(s) 269-300, ISSN 1751-3758
Editor: Taylor and Francis Inc.
DOI: 10.1080/17513758.2019.1593524

Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait

Autores: Samuel Nordmann, Benoît Perthame, Cécile Taing
Publicado en: Acta Applicandae Mathematicae, Edición 155/1, 2018, Página(s) 197-225, ISSN 0167-8019
Editor: Kluwer Academic Publishers
DOI: 10.1007/s10440-017-0151-0

The flux limited Keller–Segel system; properties and derivation from kinetic equations

Autores: Benoît Perthame, Nicolas Vauchelet, Zhian Wang
Publicado en: Revista Matemática Iberoamericana, Edición 36/2, 2020, Página(s) 357-386, ISSN 0213-2230
Editor: Universidad Autonoma de Madrid
DOI: 10.4171/rmi/1132

Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector

Autores: Samuel Nordmann; Benoît Perthame
Publicado en: J. Differential Equations, Edición 290, 2021, ISSN 0022-0396
Editor: Academic Press
DOI: 10.48550/arxiv.2001.04323

Convergence rate for the incompressible limit of nonlinear diffusion-advection equations

Autores: David, Noemi; Dębiec, Tomasz; Perthame, Benoît
Publicado en: Ann. Inst. H. Poincaré Anal. Non Linéaire, Edición 12, 2022, ISSN 0294-1449
Editor: Elsevier BV
DOI: 10.48550/arxiv.2108.00787

Effect of a membrane on diffusion-driven Turing instability

Autores: Giorgia Ciavolella
Publicado en: Acta Mathematica Applicandae, Edición 6, 2022, ISSN 1572-9036
Editor: Springer
DOI: 10.48550/arxiv.2105.09805

Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks

Autores: Di Fang, Shi Jin, Peter Markowich, Benoît Perthame
Publicado en: The SMAI journal of computational mathematics, Edición 5, 2019, Página(s) 229-249, ISSN 2426-8399
Editor: SMAI
DOI: 10.5802/smai-jcm.59

Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary

Autores: Hai-Liang Li; Benoît Perthame; Xinmei Wen
Publicado en: SIAM J. Math. Anal., Edición 53, 2021, ISSN 1095-7154
Editor: SIAM
DOI: 10.1137/19m124678x

Free boundary limit of tumor growth model with nutrient

Autores: Noemi David; Benoît Perthame
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 155, 2021, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.48550/arxiv.2003.10731

Incompressible limit for a two-species model with coupling through Brinkman's law in any dimension

Autores: Tomasz Dębiec; Benoît Perthame; Markus Schmidtchen; Nicolas Vauchelet
Publicado en: Journal de Mathématiques Pures et Appliquées, Edición 145, 2021, ISSN 0021-7824
Editor: Elsevier BV
DOI: 10.1016/j.matpur.2020.11.002

Existence of a global weak solution for a reaction–diffusion problem with membrane conditions

Autores: Giorgia Ciavolella; Benoît Perthame
Publicado en: J. Evol. Equ., Edición 21, 2021, ISSN 1424-3199
Editor: Birkhauser Verlag
DOI: 10.1007/s00028-020-00633-7

Phase transitions in a two-species model for cell segregation and logistic growth

Autores: Luis Almeida; Kevin Atsou; Marta Marulli; Diane Peurichard; Rémi Tesson
Publicado en: ESAIM: Proceedings and Surveys, Edición 2, 2020, ISSN 2267-3059
Editor: EDP sciences
DOI: 10.1051/proc/202067001

"Convergence, error analysis and longtime behavior of the Scalar Auxiliary Variable method for the nonlinear Schr\""odinger equation"

Autores: Poulain, Alexandre; Schratz, Katharina
Publicado en: IMA Journal of Numerical Analysis, 2021, ISSN 0272-4979
Editor: Oxford University Press
DOI: 10.1093/imanum/drab082

Reaction-diffusion systems with initial data of low regularity

Autores: El-Haj Laamri, Benoît Perthame
Publicado en: Journal of Differential Equations, Edición 269/11, 2020, Página(s) 9310-9335, ISSN 0022-0396
Editor: Academic Press
DOI: 10.1016/j.jde.2020.06.042

Fokker–Plank System for Movement of Micro-organism Population in Confined Environment

Autores: Jingyi Fu; Benoît Perthame; Min Tang
Publicado en: Journal of Statistical Physics, Edición 1, 2021, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-021-02760-y

A non-expanding transport distance for some structured equations

Autores: Nicolas Fournier; Benoît Perthame
Publicado en: "SIAM Journal on Mathematical Analysis, 2021, 53 (6), pp.6847-6872. ⟨10.1137/21M1397313⟩", Edición 53, 2021, ISSN 1095-7154
Editor: SIAM
DOI: 10.48550/arxiv.2102.04092

Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience

Autores: Xu'an Dou; Benoît Perthame; Delphine Salort; Zhennan Zhou
Publicado en: Discrete Contin. Dyn. Syst., Edición 43, 2023, ISSN 1078-0947
Editor: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.2202.12539