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WACONDY SIGNED

Waves and concentration dynamics in biology

Total Cost €

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EC-Contrib. €

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Partnership

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 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.

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

Project "WACONDY" data sheet

The following table provides information about the project.

Coordinator
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS 

Organization address
address: RUE MICHEL ANGE 3
city: PARIS
postcode: 75794
website: www.cnrs.fr

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

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS FR (PARIS) coordinator 1˙378˙588.00

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 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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