Objective
The mathematical analysis of collective dynamics has experienced a prominent growth in the last years leading to new frontiers with cutting-edge fields in physics, biology and social sciences (e.g. complex networks, active matter or crowd dynamics). The deep breakthrough is that unveiling self-organization in a large group of agents can be tackled using strong mathematical methods from nonlinear and nonlocal PDEs, like harmonic analysis, energy methods, optimal transport and fluid mechanics. HICODY aims to go beyond the classical restrictive case of pairwise interactions. Indeed, recent advances in neural networks suggest that higher-order interactions are often needed to properly shape collective dynamics. Classical techniques break down in this setting, thus requiring innovative methods. This proposal is divided into three blocks. The first one aims to derive the rigorous kinetic and fluid-type PDEs of statistical mechanics from the underlying microscopic description to represent higher-order interactions at larger scales. Besides, the formation of patterns from multiple interactions will be analyzed in several examples of velocity alignment and synchronization dynamics. The other blocks integrate an interdisciplinary approach which combines analytical and computational tools to face the demanding technical level in two innovative applications: neuroscience and developmental biology. First, novel activity patterns will be explored in large ensembles of neurons with multiple interactions; second, a new PDE for filopodia-mediated morphogenesis will be rigorously derived supported by empirical evidence, contrarily to Turings theory based on free diffusion. As an evidence of the researcher capabilities, he has pioneered techniques to derive hydrodynamic and mean field limits in flocking and synchronization models with pairwise singular interactions. The project will be developed alongside his supervisor, who is expert in nonlinear PDEs and mathematical biology.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences biological sciences neurobiology
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
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.
-
HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
See all projects funded under this programme
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
See all projects funded under this funding scheme
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-2021-PF-01
See all projects funded under this callCoordinator
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.
18071 GRANADA
Spain
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.