This workshop is aimed at the participants in the Junior Trimester Program "Renewal Equations, PDEs and non-equilibrium systems in biological modelling". It is not possible to apply only for this workshop.
Group leaders:
- Luce Breuil
- Martina Conte
- Charles Elbar
- Nadia Loy
- Sofie Verhees
Description:
Biological systems are inherently complex, with a wide variety of interactions among their components that give rise to dynamic, self-organized behaviors spanning multiple levels of organization. Mathematical models based on the use of Partial Differential Equations have proven to be powerful tools to help understand collective dynamics and interactions, providing a rigorous mathematical framework for modeling the evolution of biological systems. Such models offer insights into fundamental questions concerning the mechanisms driving the observed behaviors, including the conditions for the emergence and persistence of patterns, the robustness of biological structures under perturbations, and the long-time behavior of complex systems.
This workshop will focus on recent developments in the use of PDEs for modeling biological systems, highlighting theoretical advances, methodological innovations, and applications. Such applications will range from developmental biology and collective cell migration to ecology, illustrating the broad relevance of PDE models across life sciences. Over the course of five days, the workshop will provide participants with opportunities to present recent results, exchange ideas, discuss methodological innovations, and explore future directions in the use of PDEs for understanding living systems. It will foster interdisciplinary dialogue among researchers from different areas of expertise, bridging theory and applications, thus providing a comprehensive perspective on the role of PDEs in mathematical biology.