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Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

Hydrodynamical interactions of active micro-particles are pervasive in our planet's fluid environments. Hence, understanding the interactions of these self-propelled particles is essential for science and engineering. In this paper the…

Soft Condensed Matter · Physics 2022-12-28 Yonatan Ashenafi

Social behavior across animal species ranges from simple pairwise interactions to thousands of individuals coordinating goal-directed movements. Regardless of the scale, these interactions are governed by the interplay between multimodal…

Neurons and Cognition · Quantitative Biology 2024-08-06 Sarah Josephine Stednitz , Andrew Lesak , Adeline L Fecker , Peregrine Painter , Phil Washbourne , Luca Mazzucato , Ethan K Scott

In this paper we derive and analyse mean-field models for the dynamics of groups of individuals undergoing a random walk. The random motion of individuals is only influenced by the perceived densities of the different groups present as well…

We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different communication…

Analysis of PDEs · Mathematics 2020-10-20 Siming He , Eitan Tadmor

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…

Several models of flocking have been promoted based on simulations with qualitatively naturalistic behavior. In this paper we provide the first direct application of computational modeling methods to infer flocking behavior from…

Other Quantitative Biology · Quantitative Biology 2015-05-30 Graciano Dieck Kattas , Xiao-Ke Xu , Michael Small

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · Physics 2008-06-25 Mark M. Millonas

Mathematical models for systems of interacting agents using simple local rules have been proposed and shown to exhibit emergent swarming behavior. Most of these models are constructed by intuition or manual observations of real phenomena,…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Graciano Dieck Kattas , Xiao-ke Xu , Michael Small

We explore the collective behaviours of 7 group sizes: 1, 2, 3, 5, 7, 10 and 20 AB zebrafish (Danio rerio) in a constraint environment composed of two identical squared rooms connected by a corridor. This simple set-up is similar to a…

Populations and Evolution · Quantitative Biology 2019-02-12 Axel Séguret , Bertrand Collignon , Leo Cazenille , Yohann Chemtob , José Halloy

Collective behavior is all around us, from flocks of birds to schools of fish. These systems are immensely complex, which makes it pertinent to study their behavior through minimal models. We introduce such a minimal model for cohesive and…

Soft Condensed Matter · Physics 2025-01-29 Jeanine Shea , Holger Stark

The spontaneous organization of collective activities in animal groups and societies has attracted a considerable amount of attention over the last decade. This kind of coordination often permits group-living species to achieve collective…

Physics and Society · Physics 2010-05-20 Mehdi Moussaid , Simon Garnier , Guy Theraulaz , Dirk Helbing

The aggregation dynamics of slime mold is studied using coupled equations of phase \phi and cell concentration n. Phase waves work as tactic signals for aggregation. Branching structures appear during the aggregation. A stationary branching…

Pattern Formation and Solitons · Physics 2016-08-24 Hidetsugu Sakaguchi , Takuma Kusagaki

In recent years it has become evident the need of understanding how failure of coordination imposes constraints on the size of stable groups that highly social mammals can live in. We examine here the forces that keep animals together as a…

Physics and Society · Physics 2026-03-09 Laura P. Schaposnik , Sheryl Hsu , Robin I. M. Dunbar

We address the question of how to connect predictions by hydrodynamic models of how sea lice move in water to observable measures that count the number of lice on each fish in a cage in the water. This question is important for management…

Populations and Evolution · Quantitative Biology 2024-11-14 William Waites , Philip Gillibrand , Thomas Adams , Rek Bell , Duncan Guthrie , Tróndur Kragesteen , Crawford Revie , Meadhbh Moriarty

Accurately identifying spatial patterns of species distribution is crucial for scientific insight and societal benefit, aiding our understanding of species fluctuations. The increasing quantity and quality of ecological datasets present…

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

Spatiotemporal processes have the potential to be one of the most influential factors governing how fisheries targeting sedentary species respond to harvesting. Despite this, management strategy evaluation often fails to account for space…

Populations and Evolution · Quantitative Biology 2021-09-07 Christopher D. Nottingham , Russell B. Millar

Using waves to explore our environment is a widely used paradigm, ranging from seismology to radar technology, and from bio-medical imaging to precision measurements. In all of these fields, the central aim is to gather as much information…

Disordered Systems and Neural Networks · Physics 2024-09-12 Jakob Hüpfl , Felix Russo , Lukas M. Rachbauer , Dorian Bouchet , Junjie Lu , Ulrich Kuhl , Stefan Rotter

We investigate a class of continuum models for the motion of a two-dimensional biological group under the influence of nonlocal social interactions. The dynamics may be uniquely decomposed into incompressible motion and potential motion.…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 C. M. Topaz , A. L. Bertozzi
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