14 citations · 16 across the 4 of their papers we have counts for
4 papers · 1 filter
Stochastic dynamics of a finite-size spiking neural network
H. Soula, C. C. Chow
We present a simple Markov model of spiking neural dynamics that can be analytically solved to characterize the stochastic dynamics of a finite-size spiking neural network. We give…
Existence and Stability of Standing Pulses in Neural Networks: II Stability
Yixin Guo, Carson C. Chow
We analyze the stability of standing pulse solutions of a neural network integro-differential equation. The network consists of a coarse-grained layer of neurons synaptically conne…
Frequency control in synchronized networks of inhibitory neurons
Carson C. Chow, John A. White, Jason Ritt +1
We analyze the control of frequency for a synchronized inhibitory neuronal network. The analysis is done for a reduced membrane model with a biophysically-based synaptic influence.…
Synchronization and oscillatory dynamics in heterogeneous mutually inhibited neurons
J. A. White, C. C. Chow, J. Ritt +2
We study some mechanisms responsible for synchronous oscillations and loss of synchrony at physiologically relevant frequencies (10-200 Hz) in a network of heterogeneous inhibitory…