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ADORA SIGNED

Asymptotic approach to spatial and dynamical organizations

Total Cost €

0

EC-Contrib. €

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Partnership

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 ADORA project word cloud

Explore the words cloud of the ADORA project. It provides you a very rough idea of what is the project "ADORA" about.

mathematics    consideration    solutions    partial    keller    motivating    structure    kinetic    jacobi    data    conceptual    intimate    spatial    deserve    planck    anywhere    equation    internal    biomathematical    limited    difficulties    biology    regimes    neuroscience    parabolic    discovered    understand    mathematical    questions    asymptotic    enlightened    cell    finer    models    appear    issue    constrained    hamilton    dynamical    presently    motivated    organization    complexity    classification    fire    analytical    modern    scales    goals    investigation    compactness    uncover    adora    integrate    quantify    agents    arises    nonlocal    fokker    qualitative    social    precise    written    yields    route    sometimes    enormous    behavior    equations    of    else    molecular    nonlinear    determinants    share    differential    hierarchy    arise    flux    obstructions    precisely    inherent    vision    examples    individual    opened    science    singularities    medical    deep    segel    effort    structures    fundamental   

Project "ADORA" data sheet

The following table provides information about the project.

Coordinator
UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 

There are not information about this coordinator. Please contact Fabio for more information, thanks.

 Coordinator Country France [FR]
 Total cost 2˙192˙500 €
 EC max contribution 2˙192˙500 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2016-ADG
 Funding Scheme ERC-ADG
 Starting year 2017
 Duration (year-month-day) from 2017-09-01   to  2022-08-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    SORBONNE UNIVERSITE FR (PARIS) coordinator 2˙192˙500.00
2    UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 FR (PARIS) coordinator 0.00

Map

 Project objective

The understanding of spatial, social and dynamical organization of large numbers of agents is presently a fundamental issue in modern science. ADORA focuses on problems motivated by biology because, more than anywhere else, access to precise and many data has opened the route to novel and complex biomathematical models. The problems we address are written in terms of nonlinear partial differential equations. The flux-limited Keller-Segel system, the integrate-and-fire Fokker-Planck equation, kinetic equations with internal state, nonlocal parabolic equations and constrained Hamilton-Jacobi equations are among examples of the equations under investigation.

The role of mathematics is not only to understand the analytical structure of these new problems, but it is also to explain the qualitative behavior of solutions and to quantify their properties. The challenge arises here because these goals should be achieved through a hierarchy of scales. Indeed, the problems under consideration share the common feature that the large scale behavior cannot be understood precisely without access to a hierarchy of finer scales, down to the individual behavior and sometimes its molecular determinants.

Major difficulties arise because the numerous scales present in these equations have to be discovered and singularities appear in the asymptotic process which yields deep compactness obstructions. Our vision is that the complexity inherent to models of biology can be enlightened by mathematical analysis and a classification of the possible asymptotic regimes.

However an enormous effort is needed to uncover the equations intimate mathematical structures, and bring them at the level of conceptual understanding they deserve being given the applications motivating these questions which range from medical science or neuroscience to cell biology.

 Publications

year authors and title journal last update
List of publications.
2020 Benoît Perthame, Nicolas Vauchelet, Zhian Wang
The flux limited Keller–Segel system; properties and derivation from kinetic equations
published pages: 357-386, ISSN: 0213-2230, DOI: 10.4171/rmi/1132
Revista Matemática Iberoamericana 36/2 2020-04-24
2020 Federica Bubba, Benoît Perthame, Camille Pouchol, Markus Schmidtchen
Hele–Shaw Limit for a System of Two Reaction-(Cross-)Diffusion Equations for Living Tissues
published pages: 735-766, ISSN: 0003-9527, DOI: 10.1007/s00205-019-01479-1
Archive for Rational Mechanics and Analysis 236/2 2020-04-01
2019 Thanh Nam Nguyen, Jean Clairambault, Thierry Jaffredo, Benoît Perthame, Delphine Salort
Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis
published pages: 4818-4845, ISSN: 1551-0018, DOI: 10.3934/mbe.2019243
Mathematical Biosciences and Engineering 16/5 2020-04-01
2019 Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luis Almeida, Benoît Perthame, Daniel A. M. Villela
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching
published pages: 269-300, ISSN: 1751-3758, DOI: 10.1080/17513758.2019.1593524
Journal of Biological Dynamics 13/1 2020-04-01
2019 Piotr Gwiazda, Benoît Perthame, Agnieszka Świerczewska-Gwiazda
A two-species hyperbolic–parabolic model of tissue growth
published pages: 1605-1618, ISSN: 0360-5302, DOI: 10.1080/03605302.2019.1650064
Communications in Partial Differential Equations 44/12 2020-04-01
2018 Christopher Henderson, Benoît Perthame, Panagiotis Souganidis
Super-linear propagation for a general, local cane toads model
published pages: 483-509, ISSN: 1463-9963, DOI: 10.4171/ifb/409
Interfaces and Free Boundaries 20/4 2020-04-01
2018 Samuel Nordmann, Benoît Perthame, Cécile Taing
Dynamics of Concentration in a Population Model Structured by Age and a Phenotypical Trait
published pages: 197-225, ISSN: 0167-8019, DOI: 10.1007/s10440-017-0151-0
Acta Applicandae Mathematicae 155/1 2020-04-01
2019 Benoît Perthame, Delphine Salort
Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons
published pages: 1193-1211, ISSN: 1539-6746, DOI: 10.4310/cms.2019.v17.n5.a2
Communications in Mathematical Sciences 17/5 2020-04-01
2019 Federica Bubba, Camille Pouchol, Nathalie Ferrand, Guillaume Vidal, Luis Almeida, Benoît Perthame, Michèle Sabbah
A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells
published pages: 73-80, ISSN: 0022-5193, DOI: 10.1016/j.jtbi.2019.07.002
Journal of Theoretical Biology 479 2020-04-01
2018 Benoît Perthame, Weiran Sun, Min Tang
The fractional diffusion limit of a kinetic model with biochemical pathway
published pages: , ISSN: 0044-2275, DOI: 10.1007/s00033-018-0964-3
Zeitschrift für angewandte Mathematik und Physik 69/3 2019-10-08
2018 Vincent Calvez, Benoȋt Perthame, Shugo Yasuda
Traveling wave and aggregation in a flux-limited Keller-Segel model
published pages: 891-909, ISSN: 1937-5077, DOI: 10.3934/krm.2018035
Kinetic & Related Models 11/4 2019-06-11
2017 Harold Moundoyi, Ayman Moussa, Benoît Perthame, Benoît Sarels
Analytical examples of diffusive waves generated by a traveling wave
published pages: 1596-1615, ISSN: 0003-6811, DOI: 10.1080/00036811.2017.1314463
Applicable Analysis 96/9 2019-06-11
2018 Juan Calvo, Marie Doumic, Benoît Perthame
Long-Time Asymptotics for Polymerization Models
published pages: 111-137, ISSN: 0010-3616, DOI: 10.1007/s00220-018-3218-5
Communications in Mathematical Physics 363/1 2019-06-11
2018 Jean Clairambault, Benoît Perthame, Andrada Quillas Maran
Analysis of a System Describing Proliferative-Quiescent Cell Dynamics
published pages: 345-356, ISSN: 0252-9599, DOI: 10.1007/s11401-018-1068-2
Chinese Annals of Mathematics, Series B 39/2 2019-06-11
2019 Luis Almeida, Federica Bubba, Benoît Perthame, Camille Pouchol
Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
published pages: 23-41, ISSN: 1556-181X, DOI: 10.3934/nhm.2019002
Networks & Heterogeneous Media 14/1 2019-06-11
2019 Ayman Moussa, Benoît Perthame, Delphine Salort
Backward Parabolicity, Cross-Diffusion and Turing Instability
published pages: 139-162, ISSN: 0938-8974, DOI: 10.1007/s00332-018-9480-z
Journal of Nonlinear Science 29/1 2019-05-23

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