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Inhibition-based rhythms: experimental and mathematical observations on network dynamics
An increasingly large body of data exists which demonstrates that oscillations of frequency
12–80 Hz are a consequence of, or are inextricably linked to, the behaviour of inhibitory …
12–80 Hz are a consequence of, or are inextricably linked to, the behaviour of inhibitory …
Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons
The dynamics of networks of sparsely connected excitatory and inhibitory integrate-and-fire
neurons are studied analytically. The analysis reveals a rich repertoire of states, including …
neurons are studied analytically. The analysis reveals a rich repertoire of states, including …
What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance
When the local field potential of a cortical network displays coherent fast oscillations (∼ 40-
Hz gamma or∼ 200-Hz sharp-wave ripples), the spike trains of constituent neurons are …
Hz gamma or∼ 200-Hz sharp-wave ripples), the spike trains of constituent neurons are …
Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks
Electrical and chemical synapses exist within the same networks of inhibitory cells, and each
kind of synapse is known to be able to foster synchrony among oscillating neurons. Using …
kind of synapse is known to be able to foster synchrony among oscillating neurons. Using …
Dynamics of spiking neurons with electrical coupling
We analyze the existence and stability of phase-locked states of neurons coupled
electrically with gap junctions. We show that spike shape and size, along with driving current …
electrically with gap junctions. We show that spike shape and size, along with driving current …
Networks of interneurons with fast and slow γ-aminobutyric acid type A (GABAA) kinetics provide substrate for mixed gamma-theta rhythm
During active exploration, hippocampal neurons exhibit nested rhythmic activity at theta (≈
8 Hz) and gamma (≈ 40 Hz) frequencies. Gamma rhythms may be generated locally by …
8 Hz) and gamma (≈ 40 Hz) frequencies. Gamma rhythms may be generated locally by …
Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons
Synchronous rhythmic spiking in neuronal networks can be brought about by the interaction
between E-cells and Icells (excitatory and inhibitory cells). The I-cells gate and synchronize …
between E-cells and Icells (excitatory and inhibitory cells). The I-cells gate and synchronize …
Pacemaker neurons for the theta rhythm and their synchronization in the septohippocampal reciprocal loop
Hippocampal theta (4–10 Hz) oscillation represents a well-known brain rhythm implicated in
spatial cognition and memory processes. Its cellular mechanisms remain a matter of debate …
spatial cognition and memory processes. Its cellular mechanisms remain a matter of debate …
[كتاب][B] Dynamics and bifurcation in networks: theory and applications of coupled differential equations
M Golubitsky, I Stewart - 2023 - SIAM
The biologist JBS Haldane, when asked what we can learn about the Creator by examining
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
the world, is said to have replied “an inordinate fondness for beetles”[705]. Today's …
Phase synchronization in two coupled chaotic neurons
Chaotically-spiking dynamics of Hindmarsh–Rose neurons are discussed based on a
flexible definition of phase for chaotic flow. The phase synchronization of two coupled …
flexible definition of phase for chaotic flow. The phase synchronization of two coupled …