The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics
Cressman J, Ullah G, Ziburkus J, Schiff S, Barreto E. The influence of sodium and potassium dynamics on excitability, seizures, and the stability of persistent states: I. Single neuron dynamics. Journal Of Computational Neuroscience 2009, 26: 159-170. PMID: 19169801, PMCID: PMC2704057, DOI: 10.1007/s10827-008-0132-4.Peer-Reviewed Original ResearchConceptsSingle neuron dynamicsDetailed bifurcation analysisLarge amplitude oscillationsExtracellular ion concentration dynamicsMathematical modelBifurcation analysisDynamical mechanismIon concentration dynamicsNeuron dynamicsReasonable approximationFull modelCompanion paperDynamicsImportant fundamental processesConcentration dynamicsKalman Meets Neuron: The Emerging Intersection of Control Theory with Neuroscience
Schiff S. Kalman Meets Neuron: The Emerging Intersection of Control Theory with Neuroscience. Annual International Conference Of The IEEE Engineering In Medicine And Biology Society (EMBC) 2009, 2009: 3318-3321. PMID: 19964302, PMCID: PMC3644303, DOI: 10.1109/iembs.2009.5333752.Peer-Reviewed Original ResearchConceptsControl theoryNonlinear control theoryModern control theoryKalman filtering techniqueSingle neuron dynamicsComplex network dataWave dynamicsModel networksControl frameworkComputational neuroscienceNeuron dynamicsFiltering techniqueAccurate reconstructionMature theoryTheoryDynamicsNetwork dataKalmanConsensus setNeuroscience modelsField