dorsal/arxiv
View SchemaFrequency control in synchronized networks of inhibitory neurons
| Authors | Carson C. Chow, John A. White, Jason Ritt, Nancy Kopell |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0309025 |
| URL | https://arxiv.org/abs/q-bio/0309025 |
Abstract
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. We argue that such a reduced model can quantitatively capture the frequency behavior of a larger class of neuronal models. We show that in different parameter regimes, the network frequency depends in different ways on the intrinsic and synaptic time constants. Only in one portion of the parameter space, called `phasic', is the network period proportional to the synaptic decay time. These results are discussed in connection with previous work of the authors, which showed that for mildly heterogeneous networks, the synchrony breaks down, but coherence is preserved much more for systems in the phasic regime than in the other regimes. These results imply that for mildly heterogeneous networks, the existence of a coherent rhythm implies a linear dependence of the network period on synaptic decay time, and a much weaker dependence on the drive to the cells. We give experimental evidence for this conclusion.
{
"annotation_id": "cc02a232-5be6-4406-adcc-192293b39c80",
"date_created": "2026-03-02T18:01:28.638000Z",
"date_modified": "2026-03-02T18:01:28.638000Z",
"file_hash": "c0a956b506da7e9f4ea07940ee63ded96ac704c8445f266665d0e02b72919e74",
"private": false,
"record": {
"abstract": "We analyze the control of frequency for a synchronized inhibitory neuronal\nnetwork. The analysis is done for a reduced membrane model with a\nbiophysically-based synaptic influence. We argue that such a reduced model can\nquantitatively capture the frequency behavior of a larger class of neuronal\nmodels. We show that in different parameter regimes, the network frequency\ndepends in different ways on the intrinsic and synaptic time constants. Only in\none portion of the parameter space, called `phasic\u0027, is the network period\nproportional to the synaptic decay time. These results are discussed in\nconnection with previous work of the authors, which showed that for mildly\nheterogeneous networks, the synchrony breaks down, but coherence is preserved\nmuch more for systems in the phasic regime than in the other regimes. These\nresults imply that for mildly heterogeneous networks, the existence of a\ncoherent rhythm implies a linear dependence of the network period on synaptic\ndecay time, and a much weaker dependence on the drive to the cells. We give\nexperimental evidence for this conclusion.",
"arxiv_id": "q-bio/0309025",
"authors": [
"Carson C. Chow",
"John A. White",
"Jason Ritt",
"Nancy Kopell"
],
"categories": [
"q-bio.NC"
],
"title": "Frequency control in synchronized networks of inhibitory neurons",
"url": "https://arxiv.org/abs/q-bio/0309025"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c52f0adc-5c80-4291-b82f-dd4dc1c1dc19",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}