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Frequency control in synchronized networks of inhibitory neurons
Neurons and Cognition · Submitted 20 Mar 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze the control of frequency for a synchronized inhibitory neuronal network. | contribution 0.97 | 0.92 | 0.05 | asserted 0.77 |
| s1 | The analysis is done for a reduced membrane model with a biophysically-based synaptic influence. | method 0.99 | 0.89 | 0.02 | asserted 0.98 |
| s2 | We argue that such a reduced model can quantitatively capture the frequency behavior of a larger class of neuronal models. | contribution 0.45 | 0.68 | 0.10 | hedged possibility 0.65 |
| s3 | We show that in different parameter regimes, the network frequency depends in different ways on the intrinsic and synaptic time constants. | result 0.99 | 0.94 | 0.12 | asserted 1.00 |
| s4 | Only in one portion of the parameter space, called `phasic', is the network period proportional to the synaptic decay time. | result 1.00 | 0.91 | 0.18 | asserted 1.00 |
| s5 | 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. | background 0.53 | 0.34 | 0.12 | asserted 0.98 |
| s6 | 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. | interpretation 1.00 | 0.79 | 0.65 | asserted 0.88 |
| s7 | We give experimental evidence for this conclusion. | contribution 0.52 | 0.88 | 0.09 | asserted 0.99 |
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Original 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.
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