ArticleFrontiers in computational neuroscience2013
Patterns of interval correlations in neural oscillators with adaptation.
Article in Frontiers in computational neuroscience, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers.
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Who cites it
20 citing papers in PubMed.
- Article
- Efficient coding in biophysically realistic excitatory-inhibitory spiking networks.bioRxiv : the preprint server for biology · 2025Article
- An integrate-and-fire approach to CaBiophysical journal · 2023Article
- A dynamic spike threshold with correlated noise predicts observed patterns of negative interval correlations in neuronal spike trains.Biological cybernetics · 2022Article
- Synaptic reshaping of plastic neuronal networks by periodic multichannel stimulation with single-pulse and burst stimuli.PLoS computational biology · 2022Article
- Mean-return-time phase of a stochastic oscillator provides an approximate renewal description for the associated point process.Biological cybernetics · 2022Review
- Interspike interval correlations in neuron models with adaptation and correlated noise.PLoS computational biology · 2021Article
- A network model of the barrel cortex combined with a differentiator detector reproduces features of the behavioral response to single-neuron stimulation.PLoS computational biology · 2021Article
- How single neuron properties shape chaotic dynamics and signal transmission in random neural networks.PLoS computational biology · 2019Article
- Contrasting the effects of adaptation and synaptic filtering on the timescales of dynamics in recurrent networks.PLoS computational biology · 2019Article
- Transmission of temporally correlated spike trains through synapses with short-term depression.PLoS computational biology · 2018Article
- Relationship in Pacemaker Neurons Between the Long-Term Correlations of Membrane Voltage Fluctuations and the Corresponding Duration of the Inter-Spike Interval.The Journal of membrane biology · 2017Article
- Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size.PLoS computational biology · 2017Article
- Multi-scale detection of rate changes in spike trains with weak dependencies.Journal of computational neuroscience · 2017Article
- The relationship between nernst equilibrium variability and the multifractality of interspike intervals in the hippocampus.Journal of computational neuroscience · 2017Article
- Stochastic slowly adapting ionic currents may provide a decorrelation mechanism for neural oscillators by causing wander in the intrinsic period.Journal of neurophysiology · 2016Article
- Statistical structure of neural spiking under non-Poissonian or other non-white stimulation.Journal of computational neuroscience · 2015Article
- Interspike interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation.Journal of computational neuroscience · 2015Article
- Phase-resetting as a tool of information transmission.Current opinion in neurobiology · 2015Review
- Correlated neuronal activity and its relationship to coding, dynamics and network architecture.Frontiers in computational neuroscience · 2014Article
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2 authors.
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Abstract
Neural firing is often subject to negative feedback by adaptation currents. These currents can induce strong correlations among the time intervals between spikes. Here we study analytically the interval correlations of a broad class of noisy neural oscillators with spike-triggered adaptation of arbitrary strength and time scale. Our weak-noise theory provides a general relation between the correlations and the phase-response curve (PRC) of the oscillator, proves anti-correlations between neighboring intervals for adapting neurons with type I PRC and identifies a single order parameter that determines the qualitative pattern of correlations. Monotonically decaying or oscillating correlation structures can be related to qualitatively different voltage traces after spiking, which can be explained by the phase plane geometry. At high firing rates, the long-term variability of the spike train associated with the cumulative interval correlations becomes small, independent of model details. Our results are verified by comparison with stochastic simulations of the exponential, leaky, and generalized integrate-and-fire models with adaptation.
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