dorsal/arxiv
View SchemaSynchronization and oscillatory dynamics in heterogeneous mutually inhibited neurons
| Authors | J. A. White, C. C. Chow, J. Ritt, C. Soto-Trevino, N. Kopell |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0309024 |
| URL | https://arxiv.org/abs/q-bio/0309024 |
Abstract
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 neurons. We focus on the factors that determine the level of synchrony and frequency of the network response, as well as the effects of mild heterogeneity on network dynamics. With mild heterogeneity, synchrony is never perfect and is relatively fragile. In addition, the effects of inhibition are more complex in mildly heterogeneous networks than in homogeneous ones. In the former, synchrony is broken in two distinct ways, depending on the ratio of the synaptic decay time to the period of repetitive action potentials ($\tau_s/T$), where $T$ can be determined either from the network or from a single, self-inhibiting neuron. With $\tau_s/T > 2$, corresponding to large applied current, small synaptic strength or large synaptic decay time, the effects of inhibition are largely tonic and heterogeneous neurons spike relatively independently. With $\tau_s/T < 1$, synchrony breaks when faster cells begin to suppress their less excitable neighbors; cells that fire remain nearly synchronous. We show numerically that the behavior of mildly heterogeneous networks can be related to the behavior of single, self-inhibiting cells, which can be studied analytically.
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"abstract": "We study some mechanisms responsible for synchronous oscillations and loss of\nsynchrony at physiologically relevant frequencies (10-200 Hz) in a network of\nheterogeneous inhibitory neurons. We focus on the factors that determine the\nlevel of synchrony and frequency of the network response, as well as the\neffects of mild heterogeneity on network dynamics. With mild heterogeneity,\nsynchrony is never perfect and is relatively fragile. In addition, the effects\nof inhibition are more complex in mildly heterogeneous networks than in\nhomogeneous ones. In the former, synchrony is broken in two distinct ways,\ndepending on the ratio of the synaptic decay time to the period of repetitive\naction potentials ($\\tau_s/T$), where $T$ can be determined either from the\nnetwork or from a single, self-inhibiting neuron. With $\\tau_s/T \u003e 2$,\ncorresponding to large applied current, small synaptic strength or large\nsynaptic decay time, the effects of inhibition are largely tonic and\nheterogeneous neurons spike relatively independently. With $\\tau_s/T \u003c 1$,\nsynchrony breaks when faster cells begin to suppress their less excitable\nneighbors; cells that fire remain nearly synchronous. We show numerically that\nthe behavior of mildly heterogeneous networks can be related to the behavior of\nsingle, self-inhibiting cells, which can be studied analytically.",
"arxiv_id": "q-bio/0309024",
"authors": [
"J. A. White",
"C. C. Chow",
"J. Ritt",
"C. Soto-Trevino",
"N. Kopell"
],
"categories": [
"q-bio.NC"
],
"title": "Synchronization and oscillatory dynamics in heterogeneous mutually inhibited neurons",
"url": "https://arxiv.org/abs/q-bio/0309024"
},
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