2015
The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization
Ullah G, Wei Y, Dahlem M, Wechselberger M, Schiff S. The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization. PLOS Computational Biology 2015, 11: e1004414. PMID: 26273829, PMCID: PMC4537206, DOI: 10.1371/journal.pcbi.1004414.Peer-Reviewed Original ResearchConceptsAnoxic depolarizationCell swellingDynamics of seizuresGlial KNeuroprotective roleSpreading DepressionEpileptic seizuresSeizuresPhysiological ceilingDepression statePathological activityCell volumeNeuronal dynamicsDepressionPathological statesSeparate seizuresIntervention strategiesNeuron membraneDepolarizationUse of volumeNeuronal behaviorOxygen homeostasisOxygen supplyCells swellSwelling
2008
30 Towards a Dynamics of Seizure Mechanics
Schiff S, Cressman J, Barreto E, Žiburkus J. 30 Towards a Dynamics of Seizure Mechanics. 2008, 496-xviii. DOI: 10.1016/b978-012373649-9.50033-8.Peer-Reviewed Original ResearchDepolarization blockRelevant neuronal subtypesExcitatory principal cellsHippocampal seizuresGap junction connectivityPyramidal cellsHuman epilepsyInhibitory interneuronsIntracellular recordingsSynaptic currentsNeuronal subtypesHuman seizuresSeizuresInterneuronsPrincipal cellsSeizure dynamicsTime courseSynchrony featuresNeuronal dynamicsCellsEpilepsy
2001
Differentiability implies continuity in neuronal dynamics
Francis J, So P, Gluckman B, Schiff S. Differentiability implies continuity in neuronal dynamics. Physica D Nonlinear Phenomena 2001, 148: 175-181. DOI: 10.1016/s0167-2789(00)00189-5.Peer-Reviewed Original ResearchNonlinear deterministic structureDeterministic structurePeriodic orbitsFundamental mathematical principlesPeriodic orbit structurePeriodic orbit theoryNeuronal dynamicsDifferentiable dynamicsMathematical principlesOrbit theoryOrbit structureMathematical functionsRegions of continuityJacobian transformationDifferentiabilityOnly continuityDynamicsOrbitPrevious approachesRecent workRestrictive testTheoryContinuityStructure