A large network of integrate-and-fire neurons is studied analytically when the synaptic weights are independently randomly distributed according to a Gaussian distribution with arbitrary mean and variance. The relevant order parameters are identified, and it is shown that such network is statistically equivalent to an ensemble of independent integrate-and-fire neurons with each input signal given by the sum of a self-interaction deterministic term and a Gaussian colored noise. The model is able to reproduce the quasisynchronous oscillations, and the dropout of their frequency, of the central nervous system neurons of the swimming Xenopus tadpole. Predictions from the model are proposed for future experiments.
Random Networks of Spiking Neurons: Instability in the Xenopus Tadpole Moto-Neural Pattern
Published 2000 in Physical Review Letters
ABSTRACT
PUBLICATION RECORD
- Publication year
2000
- Venue
Physical Review Letters
- Publication date
2000-03-15
- Fields of study
Biology, Physics
- Identifiers
- External record
- Source metadata
Semantic Scholar
CITATION MAP
EXTRACTION MAP
CLAIMS
CONCEPTS
- central nervous system neurons
The neurons in the tadpole central nervous system that exhibit the oscillatory activity under discussion.
Aliases: CNS neurons
- frequency dropout
A reduction or disappearance of the oscillation frequency in the observed neural activity.
- future experiments
Follow-up experimental tests proposed from the model's predictions.
- gaussian colored noise
A temporally correlated Gaussian stochastic input added to each equivalent neuron.
Aliases: colored Gaussian noise
- gaussian synaptic weights
Synaptic connection strengths modeled as independent random variables with a Gaussian distribution and arbitrary mean and variance.
Aliases: Gaussian-distributed synaptic weights
- independent integrate-and-fire neurons
A collection of integrate-and-fire neurons treated as separate units in the equivalent description.
- integrate-and-fire neurons
Spiking neuron units whose membrane potential integrates input until a threshold triggers a spike and reset.
Aliases: integrate-and-fire neuron
- order parameters
A reduced set of variables used to summarize the collective state of the spiking network.
- quasisynchronous oscillations
Partially synchronized oscillatory activity pattern in the tadpole neural circuit.
Aliases: quasi-synchronous oscillations
- self-interaction deterministic term
A deterministic input component representing each neuron's feedback from its own activity in the equivalent single-neuron description.
Aliases: self interaction deterministic term
- statistical equivalence
The correspondence between the original random network and the ensemble of independent single-neuron descriptions.
- xenopus tadpole moto-neural pattern
The swimming-related neural activity pattern in the Xenopus tadpole used as the biological target system.
Aliases: Xenopus tadpole motor-neural pattern, Xenopus tadpole motoneural pattern
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