2013
Nonlinear intrinsic variables and state reconstruction in multiscale simulations
Dsilva CJ, Talmon R, Rabin N, Coifman RR, Kevrekidis IG. Nonlinear intrinsic variables and state reconstruction in multiscale simulations. The Journal Of Chemical Physics 2013, 139: 184109. PMID: 24320256, DOI: 10.1063/1.4828457.Peer-Reviewed Original ResearchHigh-dimensional simulation dataLow-dimensional descriptionSimulation dataEnzyme reaction networksSlow time scaleStochastic simulationMeasurement noisePartial observationsPhysical phenomenaMultiscale simulationsReaction networksIntrinsic variablesSimulation ensemblesAlanine dipeptideSimulationsState reconstructionEnsembleProcess variabilityTime scalesAtomistic simulationsVariablesNoiseApproachSimple features
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