Objetivo 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. Ámbito científico ciencias naturalesciencias biológicasmicrobiologíabacteriologíaciencias naturalesmatemáticasmatemáticas aplicadasfísica matemáticaciencias naturalesciencias biológicasbiología evolutivaciencias naturalesciencias físicasópticaciencias naturalesmatemáticasmatemáticas purasanálisis matemáticoecuaciones diferencialesecuaciones diferenciales parciales Programa(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Tema(s) ERC-StG-2014 - ERC Starting Grant Convocatoria de propuestas ERC-2014-STG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-STG - Starting Grant Coordinador CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Aportación neta de la UEn € 1 091 688,00 Dirección Rue michel ange 3 75794 Paris Francia Ver en el mapa Región Ile-de-France Ile-de-France Paris Tipo de actividad Research Organisations Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Otras fuentes de financiación € 0,00 Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Francia Aportación neta de la UEn € 1 091 688,00 Dirección Rue michel ange 3 75794 Paris Ver en el mapa Región Ile-de-France Ile-de-France Paris Tipo de actividad Research Organisations Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Otras fuentes de financiación € 0,00
