Mathematical Biology: Applications and Analysis 2025
Everything at a Glance
Abstract
Systems of interacting particles play an important role in the mathematical modelling of biomedical phenomena. Typically, these systems are encountered across scales reaching from intracellular processes to the growth of large cell aggregates and tissues, and comprise numbers of agents that are often intractable to simulate numerically. This calls for techniques to coarse-grain and derive effective models that, systematically, establish a bridge between different scales. Concurrently, certain model properties such as phase segregation, pattern formation, or self-organisation are expected to be observedacross scales, posing a particular challenge in the derivation of effective models.
The aims of MB2A2 are twofold: on the one hand, the workshop aims at providing a platform for leading experts at the interstice of mathematics and biology to present their latest research. On the other hand, there is ample room to engage in new research directions, to test new ideas, and to set up or continue research collaborations.
Tentative Schedule of the Workshop
| Time | Monday | Tuesday | Wednesday | Thursday |
|---|---|---|---|---|
| 10:00am | Hecht | Martinson | Lorenzi | |
| 10:30am | Tanaka | Wolfram | Morris | |
| 11:00am | break | break | break | |
| 11:15pm | KN: Marciniak-Czochra | KN: Murakawa | Holzinger | |
| 1:00pm | KN: Perthame | |||
| 2:00pm | Alasio | Peszek | ||
| 2:30pm | Estrada-Rodriguez | Esposito | ||
| 3:00pm | coffee | free afternoon | coffee | |
| 3:30pm | Pietschmann | Falco | ||
| 4:00pm | Merino | Soresina | ||
| 4:30pm | David | Giunta |
There will be a conference dinner on Wednesday, 7pm, at Restaurant Wiesz Co Zjesz
The workshop starts on Monday, July 28th at 1pm and ends on Thursday, July 31st, at 1 pm.
Speakers
Luca Alasio (INRIA Paris): "A family of PDEs for active particles with position and angle"Noemi David (University of Rouen): "On the singular limit of Brinkman's law to Darcy's law"
Antonio Esposito (University of L’Aquila): "On a class of evolutionary equations on co-evolving graphs"
Gissell Estrada-Rodriguez (Universitat Politècnica de Catalunya): "Decision making in heterogeneous self-propelled particle systems"
Carles Falco (University of Oxford): "Modelling adhesion-based phenomena in cell migration"
Valeria Giunta (Swansea University): "Understanding self-organisation in nature: Patterns and Bifurcations in Nonlocal Advection-Diffusion Models"
Sophie Hecht (CNRS, LJLL): "Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion"
Alexandra Holzinger (University of Oxford): "Moderately interacting particles and their fluctuation behavior"
Tommaso Lorenzi (Politecnico di Torino): "Travelling waves and pattern formation in phenotype-structured models for chemotaxis"
Anna Marciniak-Czochra (Heidelberg University): "The Mathematics of Emergence: Scale Separation and Pattern Selection"
Duncan Martinson (The Francis Crick Institute): "Robust and model-agnostic quantification of patterning using multiscale spatial analysis"
Sara Merino Aceituno (University of Vienna): "Macroscopic effects of an anisotropic repulsive potential: alignment and spatial effects"
Daniel Morris (Delft University of Technology): "Nonlinear diffusions as limits of kinetic equations"
Hideki Murakawa (Ryukoku University): "On a relationship between adhesion-mediated and chemotaxis-driven cell sorting"
Benoît Perthame (Sorbonne Université): "Elapsed time equations for neural assemblies"
Jan Peszek (University of Warsaw): "Macroscopic manifestations of collision avoidance in alignment dynamics"
Jan-Frederik Pietschmann (University of Augsburg): "Existence of solutions for a volume-filling model of cell invation into extracellular"
Cinzia Soresina (University of Trento): "Beyond water limitation in vegetation-autotoxicity patterning: a cross-diffusion model"
Yoshitaro Tanaka (Future University Hakodate): "Reaction-diffusion approximation of nonlocal interactions in high-dimensional space"
Marie-Therese Wolfram (University of Warwick): "A PDE model for unidirectional flows: stationary profiles and asymptotic behaviour"
Organisers
Tomasz Dębiec (University of Warsaw)Markus Schmidtchen (Technische Universität Dresden)
