Objective
Cross-diffusion aims at modelling the influence of one species on the diffusion of another one and can be seen as an extension of the standard diffusion described by the Laplacian. It finds application in several fields like physics, chemistry and biology. Of particular interest in the literature is the macroscopic cross-diffusion Shigesada–Kawasaki–Teramoto (SKT) system which is considered the prototypical model to describe the dispersive movement of cross-interacting species in population dynamics, leading to the formation of spatial patterns (front invasions, segregation effects). Despite their importance and large use in the scientific community, their derivation from a mesoscopic formulation is still missing in the literature and the admissible ranges for the relevant macroscopic coefficients that would be needed for application purposes have not been yet identified. The novel challenge of MesoCroMo is to introduce new biologically meaningful multi-species Boltzmann-type models for competitive dynamics, obtain the first derivation of the SKT system from these kinetic equations in some suitable hydrodynamic limit, from a theoretical and a numerical point of view, and provide explicit relations for the cross-diffusion and reaction coefficients in terms of the mesoscopic parameters. This will be done by redesigning well-known tools and methods from the kinetic theory of reactive gases and creating an innovative bridge between the concept of relaxation to thermodynamic equilibrium for distribution functions in kinetic theory and that of quasi steady state approximation for fast-reaction limits in dynamical systems. The action will be able to gather mathematicians from different communities, give an impulse to existing lines of research and identify new long-term directions. Combined with the experience of the supervisor, the excellent training and the rich environment provided by the host, it will enhance the researcher towards an outstanding career in academia.
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) HORIZON-MSCA-2022-PF-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
43121 PARMA
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.