2015
Observability and Controllability of Nonlinear Networks: The Role of Symmetry
Whalen A, Brennan S, Sauer T, Schiff S. Observability and Controllability of Nonlinear Networks: The Role of Symmetry. Physical Review X 2015, 5: 011005. PMID: 30443436, PMCID: PMC6234006, DOI: 10.1103/physrevx.5.011005.Peer-Reviewed Original ResearchNonlinear networksMathematical modelPresence of symmetryComplex nonlinear networksRole of symmetryNetworked systemsExplicit symmetryLinear networkSuch subspacesPresent theoryRotational symmetryStructural controllabilityObservabilityReal systemComplex networksSymmetryControllabilityObserver modelNonlinear measuresSuch networksSubspaceModel behaviorNetwork observationsNetworkModel
2012
Observability of Neuronal Network Motifs
Whalen A, Brennan S, Sauer T, Schiff S. Observability of Neuronal Network Motifs. 2012, 2012: 1-5. PMID: 25909092, PMCID: PMC4405257, DOI: 10.1109/ciss.2012.6310923.Peer-Reviewed Original ResearchNetwork observabilitySystem phase spaceFull network informationNetwork dynamicsNodal dynamicsNeuronal network motifsNodal equationsPhase spaceObservability metricsLimited measurement dataNeuron motifsConnection topologyObservabilitySmall neuronal networksNetwork motifsSuch networksMeasurement dataSymmetryDynamicsTopologyOrders of magnitudeEquationsNonlinearityFuture experimental workNetwork information
2010
Assimilating Seizure Dynamics
Ullah G, Schiff S. Assimilating Seizure Dynamics. PLOS Computational Biology 2010, 6: e1000776. PMID: 20463875, PMCID: PMC2865517, DOI: 10.1371/journal.pcbi.1000776.Peer-Reviewed Original ResearchConceptsModern control theoryDynamics of networksDynamical systemsControl theoryUnmeasured partDynamical interactionsData assimilationSmall neuronal networksPhysical variablesDynamicsBrain dynamicsComputational modelSeizure dynamicsActual measurementsNeuronal networksMicroenvironment dynamicsObservabilityNetworkVariablesModelTheorySystemMeasurements