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Animal collective behavior is often modeled with self-propelled particles, assuming each individual has ``omniscient'' knowledge of its neighbors. Yet, neighbors may be hidden from view and we do not know the effect of this information…

Biological Physics · Physics 2024-03-20 Diego Castro , Franck Ruffier , Christophe Eloy

Biological and living systems process information across spatiotemporal scales, exhibiting the hallmark ability to constantly modulate their behavior to ever-changing and complex environments. In the presence of repeated stimuli, a…

Statistical Mechanics · Physics 2025-02-04 Giorgio Nicoletti , Matteo Bruzzone , Samir Suweis , Marco Dal Maschio , Daniel Maria Busiello

Coordinated movement and self-organisation of active self-driven agents is common in nature and is seen across different scales, from herds of animals to collective motion in bacteria. Often, these systems are heterogeneous in composition,…

Adaptation and Self-Organizing Systems · Physics 2026-04-28 Balagopal Nair , Arshed Nabeel , Danny Raj M

While mathematical models, in particular self-propelled particle (SPP) models, capture many of the observed properties of large fish schools, they do not always capture the interactions of smaller shoals. Nor do these models tend to account…

Neurons and Cognition · Quantitative Biology 2023-04-04 Linnéa Gyllingberg , Alex Szorkovszky , David J. T. Sumpter

While a rich variety of self-propelled particle models propose to explain the collective motion of fish and other animals, rigorous statistical comparison between models and data remains a challenge. Plausible models should be flexible…

Quantitative Methods · Quantitative Biology 2017-04-28 Maksym Romenskyy , James E. Herbert-Read , Ashley J. W. Ward , David J. T. Sumpter

The remarkable cohesion and coordination observed in moving animal groups and their collective responsiveness to threats are thought to be mediated by scale-free correlations, where changes in the behavior of one animal influence others in…

Biological Physics · Physics 2025-06-05 Haotian Hang , Chenchen Huang , Alex Barnett , Eva Kanso

We present a novel model of stochastic differential equations for foraging behavior of fish schools in space including obstacles. We then study the model numerically. Three configurations of space with different locations of food resource…

Probability · Mathematics 2017-08-24 Ton Viet Ta , Linh Thi Hoai Nguyen

Understanding and modeling animal behavior is essential for studying collective motion, decision-making, and bio-inspired robotics. Yet, evaluating the accuracy of behavioral models still often relies on offline comparisons to static…

Robotics · Computer Science 2026-05-20 Mathis Hocke , Andreas Gerken , David Bierbach , Jens Krause , Tim Landgraf

We experimentally investigate the role of illumination on the collective dynamics of a large school (ca. 50 individuals) of Hemigrammus rhodostomus. The structure of the group, defined using two order parameters, is quantified while…

Adaptation and Self-Organizing Systems · Physics 2023-01-24 Baptiste Lafoux , Jeanne Moscatelli , Ramiro Godoy-Diana , Benjamin Thiria

Living systems such as neuronal networks and animal groups process information about their environment via the dynamics of interacting units. These can transition between distinct macroscopic behaviors. Near such a transition (or critical…

A diversity of decision-making systems has been observed in animal collectives. In some species, choices depend on the differences of the numbers of animals that have chosen each of the available options, while in other species on the…

Populations and Evolution · Quantitative Biology 2012-12-13 Sara Arganda , Alfonso Pérez-Escudero , Gonzalo G. de Polavieja

Collective decision-making arises from individual agents integrating their own personal observations with information obtained from social partners. In many biological systems that exhibit collective decision-making, the process by which…

Quantitative Methods · Quantitative Biology 2026-04-28 Ling-Wei Kong , Naomi Ehrich Leonard , Andrew M. Hein

This paper presents a new approach to behavioral-social dynamics of human crowds. First order models are derived based on mass conservation at the macroscopic scale, while methods of the kinetic theory are used to model the decisional…

Physics and Society · Physics 2015-01-14 Nicola Bellomo , Stefano Berrone , Livio Gibelli , Alexandre Pieri

We propose an innovative and generic methodology to analyse individual and collective behaviour through individual trajectory data. The work is motivated by the analysis of GPS trajectories of fishing vessels collected from regulatory…

In this paper, we present a model describing the collective motion of birds. The model introduces spontaneous changes in direction which are initialized by few agents, here referred as leaders, whose influence act on their nearest…

Numerical Analysis · Mathematics 2024-06-21 Giacomo Albi , Federica Ferrarese

We derive a class of macroscopic differential equations that describe collective adaptation, starting from a discrete-time stochastic microscopic model. The behavior of each agent is a dynamic balance between adaptation that locally…

Adaptation and Self-Organizing Systems · Physics 2024-05-15 Yuzuru Sato , Eizo Akiyama , James P. Crutchfield

In order to keep their cohesiveness during locomotion gregarious animals must make collective decisions. Many species boast complex societies with multiple levels of communities. A common case is when two dominant levels exist, one…

Biological Physics · Physics 2017-04-03 Bence Ferdinandy , Katalin Ozogány , Tamás Vicsek

Fish in schooling formations navigate complex flow-fields replete with mechanical energy in the vortex wakes of their companions. Their schooling behaviour has been associated with evolutionary advantages including collective energy…

Fluid Dynamics · Physics 2022-06-08 Siddhartha Verma , Guido Novati , Petros Koumoutsakos

Despite recent molecular technique improvements, biological knowledge remains incomplete. Reasoning on living systems hence implies to integrate heterogeneous and partial informations. Although current investigations successfully focus on…

Quantitative Methods · Quantitative Biology 2009-09-29 Jérémie Bourdon , Damien Eveillard , Samuel Gabillard , Theo Merle

Spatial patterns arising from the collective behavior of individual agents are present across biological systems. While agent-based models offer a natural framework for uncovering unknown agent (e.g., cell) interactions, these stochastic…

Quantitative Methods · Quantitative Biology 2026-05-19 Yue Liu , Alexandria Volkening