Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise
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Publication:1941932
DOI10.1186/2190-8567-1-2zbMath1259.92004OpenAlexW2099897558WikidataQ35760890 ScholiaQ35760890MaRDI QIDQ1941932
Yi Ming Lai, Paul C. Bressloff
Publication date: 22 March 2013
Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/2190-8567-1-2
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Neural biology (92C20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Biological rhythms and synchronization (92B25)
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Cites Work
- A model for neuronal oscillations in the visual cortex. I: Mean-field theory and derivation of the phase equations
- Additive noise-induced Turing transitions in spatial systems with application to neural fields and the Swift-Hohenberg equation
- Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network
- Bifurcation analysis of a neural network model
- Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.
- Stochasticity in single gene expression with both intrinsic noise and fluctuation in kinetic parameters
- Multiple pulse interactions and averaging in systems of coupled neural oscillators
- Temporal Correlations in Stochastic Networks of Spiking Neurons
- Stochastic Neural Field Theory and the System-Size Expansion
- Fluid limit theorems for stochastic hybrid systems with application to neuron models
- Binocular Rivalry in a Competitive Neural Network with Synaptic Depression
- A Master Equation Formalism for Macroscopic Modeling of Asynchronous Irregular Activity States
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
- Systematic Fluctuation Expansion for Neural Network Activity Equations
- Stochastic Dynamics of a Finite-Size Spiking Neural Network
