2010
Coarse Collective Dynamics of Animal Groups
Frewen T, Couzin I, Kolpas A, Moehlis J, Coifman R, Kevrekidis I. Coarse Collective Dynamics of Animal Groups. Lecture Notes In Computational Science And Engineering 2010, 75: 299-309. DOI: 10.1007/978-3-642-14941-2_16.Peer-Reviewed Original ResearchCollective dynamicsExtraction of informationDimensionality reduction approachCoarse observablesAppropriate observablesGood observablesParsimonious usageBroad classSuch observablesComplex systemsObservablesCoherent behaviorCollective systemComputational modelIndividual-based modelMacroscopic levelDynamicsSimulation protocolModelComputer-assisted analysisSystemApproachUsageGroup dynamicsInformation
2007
Variable-free exploration of stochastic models: A gene regulatory network example
Erban R, Frewen TA, Wang X, Elston TC, Coifman R, Nadler B, Kevrekidis IG. Variable-free exploration of stochastic models: A gene regulatory network example. The Journal Of Chemical Physics 2007, 126: 155103. PMID: 17461667, DOI: 10.1063/1.2718529.Peer-Reviewed Original ResearchConceptsStochastic modelEquation-free approachLow-dimensional descriptionLong-time behaviorNetwork exampleAppropriate observablesStochastic simulationGood observablesGene regulatory networksObservablesComplex systemsDiffusion mapsSimulation dataPhysical variablesPrevious paperLong-term dynamicsAppropriate valuesDynamicsEigenvectorsLaplacianComputationRegulatory networksGraphModelRestriction procedures