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Waves and concentration dynamics in biology

Total Cost €


EC-Contrib. €






 WACONDY project word cloud

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

genetics    engineered    quantitative    fundamental    arise    populations    dynamics    directions    purposes    transport    mathematical    biologists    wacondy    micro    diversity    diverse    source    contributions    theory    outside    rationalizing    individuals    proven    hypotheses    local    arising    wave    variance    fascinating    solutions    interdisciplinary    envisioned    equilibria    observations    innovative    collective    patterns    environments    powerful    pde    hj    theoretical    ecological    offspring    anticipate    genetically    reaction    changing    structured    sexual    original    simpler    deep    organisms    semi    equations    class    physics    viscosity    schemes    evolutionary    dispersal    hence    kinetic    ones    waves    limit    models    quantifying    preserving    demand    biology    tackling    regimes    analogous    likewise    fall    propagation    formulation    fittest    scope    evolution    emphasized    balancing    expand    numerical    unveils    asymptotic    investigations    rules    regime    hamilton    reproduction    outcomes    fit    valuable    jacobi    diffusion    small    techniques    complement   

Project "WACONDY" data sheet

The following table provides information about the project.


Organization address
address: RUE MICHEL ANGE 3
city: PARIS
postcode: 75794

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country France [FR]
 Total cost 1˙378˙588 €
 EC max contribution 1˙378˙588 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2019-COG
 Funding Scheme ERC-COG
 Starting year 2021
 Duration (year-month-day) from 2021-01-01   to  2025-12-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

Biology is a source of exciting mathematical challenges. Likewise, there is a strong demand from biologists for rationalizing and quantifying their fascinating observations and for testing hypotheses via theoretical models. PDE have proven powerful for these purposes. The main goal of the WACONDY project is to expand the theory of Hamilton-Jacobi (HJ) equations and related ones to encompass recent investigations in ecological and evolutionary dynamics. The asymptotic analysis of wave propagation in structured populations, along with that of equilibria in quantitative genetics models, have generated new problems that fall outside of the scope of the current theory. These novel HJ equations arise in regimes that are analogous to semi-classical analysis in physics. On the one hand, they are valuable for biology because the associated dynamics can be reduced to simpler rules than the original problem. On the other hand, they do not fit in the classical theory of viscosity solutions. Hence, innovative techniques are needed to achieve their deep understanding.

The envisioned outcomes of the project are: a comprehensive analysis of non-local HJ equations arising in kinetic reaction-transport equations and reaction-diffusion equations for dispersal evolution; the asymptotic analysis of quantitative genetics models balancing diversity among offspring and selection of the fittest individuals, in the regime of small variance. The case of sexual reproduction will be emphasized, as the associated limit problem unveils novel features, beyond the HJ formulation. The design of asymptotic-preserving numerical schemes for this new class of equations will complement the program.

Beyond tackling these fundamental aspects, the project aims to open new interdisciplinary research directions. We anticipate contributions to diverse topics such as collective waves of micro-organisms, propagation of genetically engineered organisms, and patterns of adaptation in changing environments.

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The information about "WACONDY" are provided by the European Opendata Portal: CORDIS opendata.

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