Explore the words cloud of the ADORA project. It provides you a very rough idea of what is the project "ADORA" about.
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 |
Take a look of project's partnership.
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1 | SORBONNE UNIVERSITE | FR (PARIS) | coordinator | 2˙192˙500.00 |
2 | UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 | FR (PARIS) | coordinator | 0.00 |
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.
year | authors and title | journal | last update |
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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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The information about "ADORA" are provided by the European Opendata Portal: CORDIS opendata.