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
1994
Stochastic versus deterministic variability in simple neuronal circuits: I. Monosynaptic spinal cord reflexes
Chang T, Schiff S, Sauer T, Gossard J, Burke R. Stochastic versus deterministic variability in simple neuronal circuits: I. Monosynaptic spinal cord reflexes. Biophysical Journal 1994, 67: 671-683. PMID: 7948680, PMCID: PMC1225409, DOI: 10.1016/s0006-3495(94)80526-0.Peer-Reviewed Original ResearchConceptsTheoretical time seriesEvidence of determinismTime seriesDeterministic equationsNonlinear predictionDeterministic variabilityDeterministic structureSimple neuronal circuitDeterministic behaviorSurrogate dataLocal dispersionStatistical controlLocal flowLong time seriesAutocorrelationEquationsGroup Ia muscle afferentsOscillationsAlgorithmReflex variabilityState