Asymptotic approach to spatial and dynamical organizations

Project Information

ADORA

Grant agreement ID: 740623

DOI

10.3030/740623

Project closed

EC signature date 30 May 2017

Start date 1 September 2017

End date 28 February 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 192 500,00

EU contribution

€ 2 192 500,00

Coordinated by

SORBONNE UNIVERSITE
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (54)

Analysis of the Rolling Carpet Strategy to Eradicate an Invasive Species

Author(s): Luis Almeida; Alexis Léculier; Nicolas Vauchelet
Published in: SIAM Journal on Mathematical Analysis, Issue 6, 2023, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1427243

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

Author(s): A. Leculier, P. Roux
Published in: Acta Applicandae Mathematicae, 2022, ISSN 1572-9036
Publisher: Springer
DOI: 10.1007/s10440-022-00501-1

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

Author(s): Shvydkoy, Roman; Tadmor, Eitan
Published in: SIAM Journal on Mathematical Analysis, Issue 10, 2020, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.48550/arxiv.1806.01371

Fast voltage dynamics of voltage-conductance models for neural networks

Author(s): Kim, Jeongho; Perthame, Benoît; Salort, Delphine
Published in: https://hal.sorbonne-universite.fr/hal-02427825, Issue 2, 2021, ISSN 1678-7544
Publisher: 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

Author(s): Tommaso Lorenzi; Benoît Perthame; Xinran Ruan
Published in: European J. Appl. Math., Issue 5, 2022, ISSN 1469-4425
Publisher: Cambridge University Press
DOI: 10.48550/arxiv.2007.13084

Anticipation Breeds Alignment

Author(s): Ruiwen Shu; Eitan Tadmor
Published in: Archive for Rational Mechanics and Analysis, Issue 1, 2021, ISSN 1432-0673
Publisher: Springer
DOI: 10.48550/arxiv.1905.00633

Dynamics of Neural Networks with Elapsed Time Model and Learning Processes

Author(s): Nicolas Torres, Delphine Salort
Published in: Acta Applicandae Mathematicae, Issue 170/1, 2020, Page(s) 1065-1099, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-020-00367-1

From Vlasov Equation to Degenerate Nonlocal Cahn-Hilliard Equation

Author(s): Charles Elbar; Marco Mason; Benoît Perthame; Jakub Skrzeczkowski
Published in: Comm. Math. Phys., Issue 9, 2022, ISSN 1432-0916
Publisher: Springer
DOI: 10.1007/s00220-023-04663-3

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

Author(s): Nicolás Torres; Benoît Perthame; Delphine Salort
Published in: Nonlinearity, 2022, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac8714

Collective motion driven by nutrient consumption

Author(s): Jabin, Pierre-Emmanuel; Perthame, Benoît
Published in: Asymptotic Analysis, Issue 8, 2023, ISSN 0921-7134
Publisher: IOS Press
DOI: 10.3233/asy-221820

Fast reaction limit with nonmonotone reaction function

Author(s): Benoît Perthame; Jakub Skrzeczkowski
Published in: CPMA, Issue 8, 2022, ISSN 1097-0312
Publisher: Wilay
DOI: 10.48550/arxiv.2008.11086

Selection-mutation dynamics with asymmetrical reproduction kernels

Author(s): Benoît Perthame; Martin Strugarek; Cécile Taing
Published in: Nonlinear Analysis: Theory, Methods and Applications, Issue 222, 2022, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.48550/arxiv.2111.06648

Motility switching and front-back synchronisation in polarized cells

Author(s): Gissell Estrada-Rodriguez; Benoit Perthame
Published in: J. Nonlinear Sci., Issue 32, 2022, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.48550/arxiv.2109.08981

Optimal regularity in time and space for the porous medium equation

Author(s): Benjamin Gess; Jonas Sauer; Eitan Tadmor
Published in: Analysis of PDEs, Issue 3, 2020, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/apde.2020.13.2441

Kinetic models for epidemic dynamics with social heterogeneity.

Author(s): Giacomo Dimarco; Benoît Perthame; Giuseppe Toscani; Mattia Zanella
Published in: Journal of Mathematical Biology, Issue 83, 2021, ISSN 0303-6812
Publisher: 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

Author(s): Federica Bubba; Benoit Perthame; Daniele Cerroni; Pasquale Ciarletta; Paolo Zunino
Published in: Discrete Contin. Dyn. Syst. Ser. S, Issue 15, 2022, ISSN 1937-1632
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/dcdss.2022044

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

Author(s): Benoît Perthame; Alexandre Poulain
Published in: European J. Appl. Math., Issue 32, 2021, ISSN 1469-4425
Publisher: Cambridge Univ. Press
DOI: 10.1017/s0956792520000054

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

Author(s): Luis Almeida; Benoît Perthame; Xinran Ruan
Published in: J. Comput. Phys., Issue 464, 2022, ISSN 0021-9991
Publisher: 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

Author(s): Federica Bubba; Alexandre Poulain
Published in: ESAIM: M2AN, 2022, ISSN 2804-7214
Publisher: EDP-Sciences
DOI: 10.1051/m2an/2022050

Multiple asymptotics of kinetic equations with internal states

Author(s): Benoit Perthame, Weiran Sun, Min Tang, Shugo Yasuda
Published in: Mathematical Models and Methods in Applied Sciences, Issue 30/06, 2020, Page(s) 1041-1073, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/S0218202520400060

Final size and convergence rate for an epidemic in heterogeneous population

Author(s): Almeida, Lu��s; Bliman, Pierre-Alexandre; Nadin, Gr��goire; Perthame, Beno��t; Vauchelet, Nicolas
Published in: Mathematical Models and Methods in Applied Sciences, Issue 31, 2021, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.48550/arxiv.2010.15410

Transport costs for PDEs: the coupling method

Author(s): Fournier, Nicolas; Perthame, Benoît
Published in: EMS Surv. Math. Sci., Issue 2, 2020, ISSN 2308-2151
Publisher: 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

Author(s): Emma Leschiera; Tommaso Lorenzi; Shensi Shen; Luis Almeida; Chloe Audebert
Published in: Journal of Theoretical Biology, 2022, 2022, ISSN 0022-5193
Publisher: Academic Press
DOI: 10.1016/j.jtbi.2022.111028

The fractional diffusion limit of a kinetic model with biochemical pathway

Author(s): Benoît Perthame, Weiran Sun, Min Tang
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 69/3, 2018, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-018-0964-3

Backward Parabolicity, Cross-Diffusion and Turing Instability

Author(s): Ayman Moussa, Benoît Perthame, Delphine Salort
Published in: Journal of Nonlinear Science, Issue 29/1, 2019, Page(s) 139-162, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-018-9480-z

Analysis of a System Describing Proliferative-Quiescent Cell Dynamics

Author(s): Jean Clairambault, Benoît Perthame, Andrada Quillas Maran
Published in: Chinese Annals of Mathematics, Series B, Issue 39/2, 2018, Page(s) 345-356, ISSN 0252-9599
Publisher: World Scientific Publishing Co
DOI: 10.1007/s11401-018-1068-2

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

Author(s): Vincent Calvez, Benoȋt Perthame, Shugo Yasuda
Published in: Kinetic & Related Models, Issue 11/4, 2018, Page(s) 891-909, ISSN 1937-5077
Publisher: AIMS
DOI: 10.3934/krm.2018035

Long-Time Asymptotics for Polymerization Models

Author(s): Juan Calvo, Marie Doumic, Benoît Perthame
Published in: Communications in Mathematical Physics, Issue 363/1, 2018, Page(s) 111-137, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-018-3218-5

Analytical examples of diffusive waves generated by a traveling wave

Author(s): Harold Moundoyi, Ayman Moussa, Benoît Perthame, Benoît Sarels
Published in: Applicable Analysis, Issue 96/9, 2017, Page(s) 1596-1615, ISSN 0003-6811
Publisher: Taylor & Francis
DOI: 10.1080/00036811.2017.1314463

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

Author(s): Luis Almeida, Federica Bubba, Benoît Perthame, Camille Pouchol
Published in: Networks & Heterogeneous Media, Issue 14/1, 2019, Page(s) 23-41, ISSN 1556-181X
Publisher: AIMS
DOI: 10.3934/nhm.2019002

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

Author(s): Benoît Perthame, Shugo Yasuda
Published in: Nonlinearity, Issue 31/9, 2018, Page(s) 4065-4089, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aac760

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

Author(s): Federica Bubba, Camille Pouchol, Nathalie Ferrand, Guillaume Vidal, Luis Almeida, Benoît Perthame, Michèle Sabbah
Published in: Journal of Theoretical Biology, Issue 479, 2019, Page(s) 73-80, ISSN 0022-5193
Publisher: 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

Author(s): Thanh Nam Nguyen, Jean Clairambault, Thierry Jaffredo, Benoît Perthame, Delphine Salort
Published in: Mathematical Biosciences and Engineering, Issue 16/5, 2019, Page(s) 4818-4845, ISSN 1551-0018
Publisher: 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

Author(s): Benoît Perthame, Delphine Salort
Published in: Communications in Mathematical Sciences, Issue 17/5, 2019, Page(s) 1193-1211, ISSN 1539-6746
Publisher: 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

Author(s): Federica Bubba, Benoît Perthame, Camille Pouchol, Markus Schmidtchen
Published in: Archive for Rational Mechanics and Analysis, Issue 236/2, 2020, Page(s) 735-766, ISSN 0003-9527
Publisher: Springer Verlag
DOI: 10.1007/s00205-019-01479-1

A two-species hyperbolic–parabolic model of tissue growth

Author(s): Piotr Gwiazda, Benoît Perthame, Agnieszka Świerczewska-Gwiazda
Published in: Communications in Partial Differential Equations, Issue 44/12, 2019, Page(s) 1605-1618, ISSN 0360-5302
Publisher: Marcel Dekker Inc.
DOI: 10.1080/03605302.2019.1650064

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

Author(s): Christopher Henderson, Benoît Perthame, Panagiotis Souganidis
Published in: Interfaces and Free Boundaries, Issue 20/4, 2018, Page(s) 483-509, ISSN 1463-9963
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/ifb/409

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

Author(s): Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luis Almeida, Benoît Perthame, Daniel A. M. Villela
Published in: Journal of Biological Dynamics, Issue 13/1, 2019, Page(s) 269-300, ISSN 1751-3758
Publisher: Taylor and Francis Inc.
DOI: 10.1080/17513758.2019.1593524

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

Author(s): Samuel Nordmann, Benoît Perthame, Cécile Taing
Published in: Acta Applicandae Mathematicae, Issue 155/1, 2018, Page(s) 197-225, ISSN 0167-8019
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10440-017-0151-0

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

Author(s): Benoît Perthame, Nicolas Vauchelet, Zhian Wang
Published in: Revista Matemática Iberoamericana, Issue 36/2, 2020, Page(s) 357-386, ISSN 0213-2230
Publisher: 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

Author(s): Samuel Nordmann; Benoît Perthame
Published in: J. Differential Equations, Issue 290, 2021, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.48550/arxiv.2001.04323

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

Author(s): David, Noemi; Dębiec, Tomasz; Perthame, Benoît
Published in: Ann. Inst. H. Poincaré Anal. Non Linéaire, Issue 12, 2022, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2108.00787

Effect of a membrane on diffusion-driven Turing instability

Author(s): Giorgia Ciavolella
Published in: Acta Mathematica Applicandae, Issue 6, 2022, ISSN 1572-9036
Publisher: Springer
DOI: 10.48550/arxiv.2105.09805

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

Author(s): Di Fang, Shi Jin, Peter Markowich, Benoît Perthame
Published in: The SMAI journal of computational mathematics, Issue 5, 2019, Page(s) 229-249, ISSN 2426-8399
Publisher: SMAI
DOI: 10.5802/smai-jcm.59

Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary

Author(s): Hai-Liang Li; Benoît Perthame; Xinmei Wen
Published in: SIAM J. Math. Anal., Issue 53, 2021, ISSN 1095-7154
Publisher: SIAM
DOI: 10.1137/19m124678x

Free boundary limit of tumor growth model with nutrient

Author(s): Noemi David; Benoît Perthame
Published in: Journal de Mathématiques Pures et Appliquées, Issue 155, 2021, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2003.10731

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

Author(s): Tomasz Dębiec; Benoît Perthame; Markus Schmidtchen; Nicolas Vauchelet
Published in: Journal de Mathématiques Pures et Appliquées, Issue 145, 2021, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2020.11.002

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

Author(s): Giorgia Ciavolella; Benoît Perthame
Published in: J. Evol. Equ., Issue 21, 2021, ISSN 1424-3199
Publisher: Birkhauser Verlag
DOI: 10.1007/s00028-020-00633-7

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

Author(s): Luis Almeida; Kevin Atsou; Marta Marulli; Diane Peurichard; Rémi Tesson
Published in: ESAIM: Proceedings and Surveys, Issue 2, 2020, ISSN 2267-3059
Publisher: 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"

Author(s): Poulain, Alexandre; Schratz, Katharina
Published in: IMA Journal of Numerical Analysis, 2021, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drab082

Reaction-diffusion systems with initial data of low regularity

Author(s): El-Haj Laamri, Benoît Perthame
Published in: Journal of Differential Equations, Issue 269/11, 2020, Page(s) 9310-9335, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2020.06.042

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

Author(s): Jingyi Fu; Benoît Perthame; Min Tang
Published in: Journal of Statistical Physics, Issue 1, 2021, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-021-02760-y

A non-expanding transport distance for some structured equations

Author(s): Nicolas Fournier; Benoît Perthame
Published in: "SIAM Journal on Mathematical Analysis, 2021, 53 (6), pp.6847-6872. ⟨10.1137/21M1397313⟩", Issue 53, 2021, ISSN 1095-7154
Publisher: SIAM
DOI: 10.48550/arxiv.2102.04092

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

Author(s): Xu'an Dou; Benoît Perthame; Delphine Salort; Zhennan Zhou
Published in: Discrete Contin. Dyn. Syst., Issue 43, 2023, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.48550/arxiv.2202.12539