MESOPROBIO SIGNED
Mesoscopic models for propagation in biology
Total Cost €
0EC-Contrib. €
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0MESOPROBIO project word cloud
Explore the words cloud of the MESOPROBIO project. It provides you a very rough idea of what is the project "MESOPROBIO" about.
Project "MESOPROBIO" data sheet
The following table provides information about the project.
| Coordinator |
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Organization address contact info |
| Coordinator Country | France [FR] |
| Total cost | 1˙091˙688 € |
| EC max contribution | 1˙091˙688 € (100%) |
| Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
| Code Call | ERC-2014-STG |
| Funding Scheme | ERC-STG |
| Starting year | 2015 |
| Duration (year-month-day) | from 2015-09-01 to 2020-08-31 |
Partnership
Take a look of project's partnership.
| # | ||||
|---|---|---|---|---|
| 1 | CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS | FR (PARIS) | coordinator | 1˙091˙688.00 |
Map
Project objective
According to biologists, there is a need for quantitative models that are able to cope with the complexity of problems arising in the field of life sciences. Here, complexity refers to the interplay between various scales that are not clearly separate. The great challenge of the MESOPROBIO project is to analyse complex PDE models for biological propagation phenomena at the mesoscale. By analogy with the kinetic theory of gases, this is an intermediate level of description between the microscale (individual-based models) and the macroscale (parabolic reaction-transport-diffusion equations). The specific feature common to all the models involved in the project is the local heterogeneity with respect to a structure variable (velocity, phenotypical trait, age) which requires new mathematical methods. I propose to push analysis beyond classical upscaling arguments and to track the local heterogeneity all along the analysis.
The biological applications are: concentration waves of bacteria, evolutionary aspects of structured populations (with respect to dispersal ability or life-history traits), and anomalous diffusion. The mathematical challenges are: multiscale analysis of PDE having different properties in different directions of the phase space, including nonlocal terms (scattering, competition), and possibly lacking basic features of reaction-diffusion equations such as the maximum principle. The outcomes are: travelling waves, accelerating fronts, approximation of geometric optics, nonlocal Hamilton-Jacobi equations, optimal foraging strategies and evolutionary dynamics of phenotypical traits. Emphasis will be placed on quantitative results with strong feedback towards biology.
The project will be conducted in Lyon, a French hub for mathematical biology and hyperbolic equations. There will be close interaction with biologists in order to establish the most appropriate questions to answer. Several collaborations in Europe (UK, Austria) will be developed.
Publications
| year | authors and title | journal | last update |
|---|---|---|---|
| 2018 |
EMERIC BOUIN, NILS CAILLERIE Spreading in kinetic reaction–transport equations in higher velocity dimensions published pages: 1-29, ISSN: 0956-7925, DOI: 10.1017/S0956792518000037 |
European Journal of Applied Mathematics | 2019-05-29 |
| 2017 |
Sylvain Gandon, Sepideh Mirrahimi A Hamilton–Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations published pages: 155-160, ISSN: 1631-073X, DOI: 10.1016/j.crma.2016.12.001 |
Comptes Rendus Mathematique 355/2 | 2019-05-29 |
| 2017 |
Vincent Calvez, Laurent Gosse, Monika Twarogowska Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability published pages: 2224-2249, ISSN: 0036-1399, DOI: 10.1137/16M1108108 |
SIAM Journal on Applied Mathematics 77/6 | 2019-05-29 |
| 2017 |
Nils Caillerie Large deviations of a velocity jump process with a Hamilton–Jacobi approach published pages: 170-175, ISSN: 1631-073X, DOI: 10.1016/j.crma.2016.12.011 |
Comptes Rendus Mathematique 355/2 | 2019-05-29 |
| 2017 |
Emeric Bouin, Christopher Henderson, Lenya Ryzhik The Bramson logarithmic delay in the cane toads equations published pages: 599-634, ISSN: 0033-569X, DOI: 10.1090/qam/1470 |
Quarterly of Applied Mathematics 75/4 | 2019-05-29 |
| 2016 |
Hugues Berry, Thomas Lepoutre, Ãlvaro Mateos González Quantitative Convergence Towards a Self-Similar Profile in an Age-Structured Renewal Equation for Subdiffusion published pages: 15-45, ISSN: 0167-8019, DOI: 10.1007/s10440-016-0048-3 |
Acta Applicandae Mathematicae 145/1 | 2019-05-29 |
| 2017 |
Emeric Bouin, Christopher Henderson Super-linear spreading in local bistable cane toads equations published pages: 1356-1375, ISSN: 0951-7715, DOI: 10.1088/1361-6544/aa5d65 |
Nonlinearity 30/4 | 2019-05-29 |
| 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 | 2019-05-29 |
| 2017 |
Vincent Calvez, Thomas O. Gallouët Blow-Up Phenomena for Gradient Flows of Discrete Homogeneous Functionals published pages: , ISSN: 0095-4616, DOI: 10.1007/s00245-017-9443-z |
Applied Mathematics & Optimization | 2019-05-29 |
| 2017 |
Vincent Calvez, José Antonio Carrillo, Franca Hoffmann The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime published pages: 1-71, ISSN: , DOI: 10.1007/978-3-319-61494-6_1 |
Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions | 2019-04-18 |
| 2017 |
Lionel Roques, Jimmy Garnier, Guillaume Martin Beneficial mutation-selection dynamics in finite asexual populations: a free boundary approach published pages: , ISSN: 2045-2322, DOI: 10.1038/s41598-017-17212-5 |
Scientific Reports 7/1 | 2019-04-18 |
| 2017 |
Thibault Bourgeron, Vincent Calvez, Jimmy Garnier, Thomas Lepoutre Existence of recombination-selection equilibria for sexual populations published pages: , ISSN: , DOI: |
2019-04-18 | |
| 2017 |
Vincent Calvez, Laurent Gosse, Monika Twarogowska Concentration Waves of Chemotactic Bacteria: The Discrete Velocity Case published pages: 79-109, ISSN: , DOI: 10.1007/978-3-319-49262-9_3 |
Innovative Algorithms and Analysis | 2019-04-18 |
| 2018 |
Emeric Bouin, Jimmy Garnier, Christopher Henderson, Florian Patout Thin Front Limit of an Integro-differential Fisher-KPP Equation with Fat-Tailed Kernels published pages: 3365-3394, ISSN: 0036-1410, DOI: 10.1137/17M1132501 |
SIAM Journal on Mathematical Analysis 50/3 | 2019-04-18 |
| 2018 |
Mirrahimi , Sepideh Singular limits for models of selection and mutations with heavy-tailed mutation distribution published pages: , ISSN: , DOI: |
https://hal.archives-ouvertes.fr/hal-01849418 | 2019-04-18 |
| 2016 |
Vincent Calvez Chemotactic waves of bacteria at the mesoscale published pages: , ISSN: , DOI: |
2019-04-18 | |
| 2017 |
Sepideh Mirrahimi A Hamilton–Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments published pages: 2425-2460, ISSN: 0218-2025, DOI: 10.1142/S0218202517500488 |
Mathematical Models and Methods in Applied Sciences 27/13 | 2019-04-18 |
| 2018 |
Bouin , Emeric; Chan , Matthew H.; Henderson , Christopher; Kim , Peter S. Influence of a mortality trade-off on the spreading rate of cane toads fronts published pages: , ISSN: , DOI: |
2017 | 2019-04-18 |
| 2018 |
FIGUEROA IGLESIAS , Susely; Mirrahimi , Sepideh Long time evolutionary dynamics of phenotypically structured populations in time periodic environments published pages: , ISSN: , DOI: |
https://hal.archives-ouvertes.fr/hal-01727549 2 | 2019-04-18 |
| 2018 |
Hélène Hivert A first-order asymptotic preserving scheme for front propagation in a one-dimensional kinetic reaction–transport equation published pages: 253-278, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.04.036 |
Journal of Computational Physics 367 | 2019-04-18 |
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