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WACONDY SIGNED

Waves and concentration dynamics in biology

Total Cost €

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EC-Contrib. €

0

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.

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

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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