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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.

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

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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lastchecktime (2022-05-28 22:53:27) correctly updated