Coarse collective dynamics of animal groups

Thomas A. Frewen, Iain D. Couzin, Allison Kolpas, Jeff Moehlis, Ronald Coifman, Ioannis G. Kevrekidis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

The coarse-grained, computer-assisted analysis of models of collective dynamics in animal groups involves (a) identifying appropriate observables that best describe the state of these complex systems and (b) characterizing the dynamics of such observables. We devise "equation-free" simulation protocols for the analysis of a prototypical individual-based model of collective group dynamics. Our approach allows the extraction of information at the macroscopic level via parsimonious usage of the detailed, "microscopic" computational model. Identification of meaningful coarse observables ("reduction coordinates") is critical to the success of such an approach, and we use a recently-developed dimensionality-reduction approach (diffusion maps) to detect good observables based on data generated by local model simulation bursts. This approach can be more generally applicable to the study of coherent behavior in a broad class of collective systems (e.g., collective cell migration).

Original languageEnglish (US)
Title of host publicationCoping with Complexity
Subtitle of host publicationModel Reduction and Data Analysis
Pages299-309
Number of pages11
DOIs
StatePublished - Jan 1 2011
EventInternational Research Workshop: Coping with Complexity: Model Reduction and Data Analysis - Ambleside, United Kingdom
Duration: Aug 31 2009Sep 4 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume75 LNCSE
ISSN (Print)1439-7358

Other

OtherInternational Research Workshop: Coping with Complexity: Model Reduction and Data Analysis
CountryUnited Kingdom
CityAmbleside
Period8/31/099/4/09

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Engineering(all)
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics

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