How different levels of biological organization interact to shape each other's function is a
central question in biology. One particularly important topic in this context is how individuals' …

We apply tools from topological data analysis to two mathematical models inspired by
biological aggregations such as bird flocks, fish schools, and insect swarms. Our data …

The development of tracking methods for automatically quantifying individual behavior and
social interactions in animal groups has open up new perspectives for building quantitative …

Social interactions are a significant factor that influence the decision-making of species
ranging from humans to bacteria. In the context of animal migration, social interactions may …

Many complex systems, ranging from migrating cells to animal groups, exhibit stochastic
dynamics described by the underdamped Langevin equation. Inferring such an equation of …

We consider the aggregation equation ρ t−∇·(ρ∇ K* ρ)= 0 in, where the interaction potential
K models short-range repulsion and long-range attraction. We study a family of interaction …

The dynamic patterns and coordinated motion displayed by groups of social animals are a
beautiful example of self-organization in natural far-from-equilibrium systems. Recent …

Many animal species organise into disordered swarms, polarised flocks or swirls to protect
from predators or optimise foraging. Previous studies suggest that such collective states are …

The correlated motion of flocks is an example of global order emerging from local
interactions. An essential difference with respect to analogous ferromagnetic systems is that …

Collective animal behavior is an emergent phenomenon arising from the local interactions of
the members of animal groups. Considerable progress has been made in characterizing …