CrossInteractions · Models with cross interactions between partial dynamical processes aiming to understand significant or abrupt dynamic changes.
„Хоризонт Европа“ — Действия „Мария Склодовска-Кюри“
- Период
- 2022-12-01 → 2024-11-30
- Финансиране от ЕС
- 150 439 €
- Участници
- 1
- Схема
- HORIZON-TMA-MSCA-PF-EF
Линиите свързват координатора с партньорите.
Накратко на български
Нелинейните динамични системи и резките промени в тях се анализират чрез примери като взаимодействието между хищник и плячка или синхронизацията в невронните мрежи. Това помага за по-доброто разбиране и предвиждане на процеси в биологията, неврологията и епидемиологията.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Models with cross interactions between partial dynamical processes aiming to understand significant or abrupt dynamic changes.
The purpose of the "CrossInteractions" project is to study and understand crucial events in nonlinear dynamical systems, with a special emphasis on bifurcations that often signal abrupt and significant shifts in system behavior. By modeling such transitions, the research aims to enhance predictive capabilities, inform state-of-the-art strategies, and establish best practices in fields such as population biology, neurology, and epidemiology. The motivation for this study stems from the urgent need to decipher and control complex systems where small changes can lead to significant effects on behavior. Such transitions are frequently observed in ecosystems affected by disturbances, neural networks governing brain activity, and the spread of infectious diseases. This study seeks to explain these shifts using bifurcation theory, thereby providing both theoretical frameworks and practical decision-making tools. In population biology, the study examines the dynamic interplay of prey-predator systems in fragmented habitats, focusing on how interagent interactions affect the stability, persistence, and biodiversity of species within ecosystems. Understanding chaotic and periodic patterns in these systems is crucial for conservation and ecosystem management. The neurological component of the study analyzes how modular neuronal subsystems influence synchronization dynamics and conflicts in neural activity. These transitions often arise from synchronization events, which play a critical role in motor control, learning, and perception. Using bifurcation theory, the research investigates the mechanics underlying transient behaviors, particularly their implications for disorders such as focal epilepsy. This includes studying high-frequency oscillations (HFOs) and phase synchronization in interconnected neuronal networks, offering insights into novel biomarkers for epilepsy and other synchronization-related neurological disorders. The findings aim to advance neuroscience and provide new approaches to managing neurological diseases, ultimately improving clinical outcomes. The epidemiological aspect of the project focuses on how seasonal variations, vaccination strategies, and other external factors influence the progression of infectious disease epidemics. The results will directly inform public health decision-making, enhancing preparedness and mitigation strategies for future outbreaks. By exploring the interaction between epidemic cycles and seasonality, this research provides actionable insights into managing diseases such as COVID-19. The "CrossInteractions" project bridges mathematical biology, social sciences, and public health to ensure both social relevance and theoretical rigor. By promoting multidisciplinary collaboration and making mathematical tools accessible, the project highlights their applicability in real-world scenarios. Its emphasis on open research, sustainability, and international cooperation underscores the goal of maximizing societal impact. The expected outputs of "CrossInteractions" include the development of theoretical knowledge, predictive models, and sustainable solutions for environmental policy, healthcare, and public policy. These contributions are anticipated to have a far-reaching impact, aiding in biodiversity conservation, improving neurological health, and guiding epidemic control strategies. By addressing fundamental socioeconomic and ecological challenges, the project is both academically significant and practically relevant.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
Bifurcation analysis of nonlinear models is a powerful tool that has a practical use since it detects and explains dynamical changes. It allows a description of generally emerging phenomena dependent on parameters. This project aims to understand significant or abrupt changes in dynamics of models related to cross-interactions between partial dynamical processes and study how these cross-interactions affect the system's behavior as a whole. The project covers three fields of applied nonlinear dynamics: population biology, neuroscience and epidemiology. Uncovering the dynamics of coupled prey-predator models (population biology), which includes persistence and extinction of the populations in cross-interacting patches, the emergence of periodic and aperiodic attractors, emergence of chaos, comparison of dynamics of the coupled model and the uncoupled one. Uncovering the dynamics of coupled neuronal subsystems with respect to possible/impossible abrupt dynamical changes and synchronized dynamics. Uncovering dynamics of coupled epidemic subsystems with emphasis on dynamics of COVID-19 epidemics to understand connections between dynamics of local and global outbreaks, interacting of sub-populations of various mutations and even seasonal effects. I expect following exploitation of the results: theoretical in mathematical biology (new knowledge in population biology, neuroscience and epidemiology), applied (new knowledge of suitable/unsuitable models with respect to bifurcations, qualitative dynamical changes and emerging nonlinear phenomena in real world systems), educational (models attract attention of students and facilitates study of difficult passages of abstract mathematics), and practical in applied mathematics. Part of the project is to strengthen the team of Prof. Pibylov (MU), including connection with the research group of Prof. Meijer (UT) in the field of applications in models of neuronal synchronization towards their focal epilepsy research.
Оригинален текст от CORDIS (на английски).
Участници
- Masarykova univerzita · BrnoКоординаторЧехия
Връзки
- Виж в CORDIS
- DOI: 10.3030/101063853
- https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e50ce398c1&appId=PPGMS
- https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e5140f3ab4&appId=PPGMS
Данни: CORDIS, © Европейски съюз
