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In an ecological context, panel data arise when time series measurements are made on a collection of ecological processes. Each process may correspond to a spatial location for field data, or to an experimental ecosystem in a designed…

Applications · Statistics 2025-06-10 Bo Yang , Jesse Wheeler , Meghan A. Duffy , Aaron A. King , Edward L. Ionides

We report on the dynamics of collective alignment in groups of the cichlid fish, Etroplus suratensis. Focusing on small-to-intermediate sized groups ($10<N<100$), we demonstrate that schooling (highly polarised and coherent motion) is…

Statistical Mechanics · Physics 2020-04-22 Jitesh Jhawar , Richard G. Morris , U. R. Amith-Kumar , M. Danny Raj , Harikrishnan R. , Vishwesha Guttal

In this paper we propose a "discrete in continuous" mathematical model for the morphogenesis of the posterior lateral line system in zebrafishes. Our model follows closely the results obtained in recent biological experiments. We rely on a…

Cell Behavior · Quantitative Biology 2017-05-29 Ezio Di Costanzo , Roberto Natalini , Luigi Preziosi

Systems of motile microorganisms exhibit a multitude of collective phenomena, including motility-induced phase separation and turbulence. Sensing of the environment and adaptation of movement plays an essential role in the emergent…

Soft Condensed Matter · Physics 2024-06-26 Segun Goh , Elmar Westphal , Roland G. Winkler , Gerhard Gompper

Group dynamic movement is a fundamental aspect of many species' movements. The need to adequately model individuals' interactions with other group members has been recognised, particularly in order to differentiate the role of social forces…

This paper proposes a model-based framework to automatically and efficiently design understandable and verifiable behaviors for swarms of robots. The framework is based on the automatic extraction of two distinct models: 1) a neural network…

Robotics · Computer Science 2021-03-10 Mario Coppola , Jian Guo , Eberhard Gill , Guido C. H. E. de Croon

Understanding the organization of collective motion in biological systems is an ongoing challenge. In this Paper we consider a minimal model of self-propelled particles with variable speed. Inspired by experimental data from schooling fish,…

Biological Physics · Physics 2015-06-04 Shradha Mishra , Kolbjørn Tunstrøm , Iain D. Couzin , Cristián Huepe

A class of stochastic individual-based models, written in terms of coupled velocity jump processes, is presented and analysed. This modelling approach incorporates recent experimental findings on behaviour of locusts. It exhibits nontrivial…

Analysis of PDEs · Mathematics 2011-04-14 Radek Erban , Jan Haskovec

Dynamic heterogeneity has often been modeled by assuming that a single-particle observable, fluctuating at a molecular scale, is influenced by its coupling to environmental variables fluctuating on a second, perhaps slower, time scale.…

Condensed Matter · Physics 2009-11-07 Gregor Diezemann , Gerald Hinze , Hans Sillescu

Brain activity is characterized by brain-wide spatiotemporal patterns which emerge from synapse-mediated interactions between individual neurons. Calcium imaging provides access to in vivo recordings of whole-brain activity at single-neuron…

Neurons and Cognition · Quantitative Biology 2023-09-13 Richard E. Rosch , Dominic R. W. Burrows , Christopher W. Lynn , Arian Ashourvan

Visual cues play crucial roles in the collective motion of animals, birds, fish, and insects. The interaction mediated by visual information is essentially non-local and has many-body nature due to occlusion, which poses a challenging…

Adaptation and Self-Organizing Systems · Physics 2025-04-30 Susumu Ito , Nariya Uchida

Collective perception is a key aspect for autonomous driving in smart cities as it aims to combine the local environment models of multiple intelligent vehicles in order to overcome sensor limitations. A crucial part of multi-sensor fusion…

Signal Processing · Electrical Eng. & Systems 2025-10-27 Laura M. Wolf , Vincent Albert Wolff , Simon Steuernagel , Kolja Thormann , Marcus Baum

Animals foraging alone are hypothesized to optimize the encounter rates with resources through L\'evy walks. However, the issue of how the interactions between multiple foragers influence their search efficiency is still not completely…

Biological Physics · Physics 2013-11-12 Kunal Bhattacharya , Tamás Vicsek

The exceptional reactivity of animal collectives to predatory attacks is thought to be due to rapid, but local, transfer of information between group members. These groups turn together in unison and produce escape waves. However, it is not…

Populations and Evolution · Quantitative Biology 2015-06-05 James Herbert-Read , Jerome Buhl , Feng Hu , Ashley Ward , David Sumpter

Birds in a flock move in a correlated way, resulting in large polarization of velocities. A good understanding of this collective behavior exists for linear motion of the flock. Yet observing actual birds, the center of mass of the group…

The focus of this paper is a key component of a methodology for understanding, interpolating, and predicting fish movement patterns based on spatiotemporal data recorded by spatially static acoustic receivers. Unlike GPS trackers which emit…

Computation · Statistics 2026-02-20 Mahshid Ahmadian , Edward L. Boone , Grace S. Chiu

Larval zebrafish exhibit a variety of complex undulatory swimming patterns. This repertoire is controlled by the 300 neurons projecting from brain into spinal cord. Understanding how descending control signals shape the output of spinal…

Neurons and Cognition · Quantitative Biology 2007-05-23 Scott A. Hill , Xiao-Ping Liu , Melissa A. Borla , Jorge V. Jose , Donald M. O'Malley

Living organisms process information to interact and adapt to their changing environment with the goal of finding food, mates or averting hazards. The structure of their niche has profound repercussions by both selecting their internal…

Physics and Society · Physics 2017-06-07 Hannes Hornischer , Stephan Herminghaus , Marco G. Mazza

The strategic behaviour of pedestrians is largely determined by how they perceive and react to neighbouring people. This issue is addressed in this paper by a model which combines, in a time and space-dependent way, discrete and continuous…

Physics and Society · Physics 2016-06-23 Annachiara Colombi , Marco Scianna , Andrea Tosin

We develop simple diffusion-advection models to estimate the average time it takes fish to reach one of the boundaries of an enclosure and the population distribution over time moving in the enclosure (such as a lake or slough). We start…

Analysis of PDEs · Mathematics 2019-09-18 Stephen Tennenbaum , John Gatto , Joel Trexler
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