Susin (2021): Gamma vs Drive
Independent excitatory afferent drive strengthens population bursting in a calibrated conductance-based E/I network.
Abstract
We tested whether increased nonrhythmic afferent excitation recruits collective oscillations in a modified replication of Susin and Destexhe’s (2021) PING network. We searched afferent rates and recurrent weights in a smaller conductance-based LIF network for weak baseline correlations and stimulus-dependent bursting. Increased excitation onto both populations raised mean E firing from 3.53 to 11.51 Hz and strengthened bursting in the selected simulation. This single-seed exploratory search characterizes one selected configuration.
Introduction
In the pyramidal–interneuron gamma (PING) network of Susin and Destexhe (2021), increasing nonrhythmic excitatory Poisson drive onto both populations shifted an asynchronous-irregular-like baseline toward stronger gamma oscillations generated by recurrent E/I interactions.[1]
We attempted a modified replication, retaining the reference synaptic decay times, delays and stimulus timing while searching afferent rates and recurrent weights for weak baseline correlations and stimulus-dependent bursting.
Our 2,000-neuron network is smaller and denser but gives each neuron fewer recurrent inputs. Non-adapting LIF neurons replace AdEx neurons; afferent rates and recurrent excitation are lower; inputs are independent across targets; and a 500 ms hidden baseline precedes the display. These changes limit quantitative alignment in firing rates, burst structure or timing.
Results
Recorded circuit
Loading recorded circuit…
Private drive strengthens bursting
In the selected configuration, a 50% increase in E- and I-targeted afferent rates strengthened population bursting (Fig. 3). Mean E/I firing rates rose from 3.53/3.83 Hz at baseline to 11.51/11.93 Hz during the plateau and were 4.28/4.38 Hz in recovery. Mean E spike-count correlation rose from 0.009 to 0.267.
Excitatory and inhibitory neurons formed aligned bursts during increased drive (Fig. 3B). Their plateau spike-count profiles overlap strongly but vary in amplitude and timing (Fig. 3C–D); narrow burst bands alternate with dispersed spikes.
Figure 3: Spike timing in the seed-7 simulation, after the hidden 500 ms baseline. A: coincident E- and I-targeted rates (black solid and red dashed). B: all spikes from 1,600 E neurons (black, lower) and 400 I neurons (red, upper); dotted lines mark the pulse and shading the close-up. C: the 250–350 ms plateau window. D: unsmoothed population-total counts in 1 ms bins over that window; E contains four times as many neurons as I.
Reference PING network

Figure 4: Cropped from Figure 4 (left PING column, panels B and C) of Susin and Destexhe (2021).[1] © 2021 Susin and Destexhe; reproduced under CC BY 4.0. B shows external Poisson drive; C shows the spike raster. Original panel labels and colours are retained.
The networks share a drive-dependent response but differ in three respects:
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Increased E/I excitation strengthens collective activity in both; ours has sharper burst bands (Fig. 4B–C Fig. 3A–B).
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Their raster samples 1,000 E and 1,000 I neurons from 25,000; ours shows all 1,600 E and 400 I neurons.
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Both show 600 ms with a 200 ms pulse. Their drive is 2→3→2 Hz during ongoing activity; ours is 0.8→1.2→0.8 Hz after a hidden 500 ms baseline.
Sharper bursts may reflect our non-adapting LIF neurons, altered thresholds and refractory periods, fewer recurrent inputs, recalibrated weights or lower background drive (Table A1); sampling also affects raster density. Controlled comparisons are needed.
Methods
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Construct the modified replication. We replaced the adapting AdEx neurons in the PING network of Susin and Destexhe (2021)[1] with 1,600 excitatory and 400 inhibitory conductance-based LIF neurons. Recurrent connections, including possible self-connections, were sampled independently with 10% probability. Table A1 lists the available recorded settings. We used a 0.1 ms timestep.
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Apply the input protocol. Each neuron received 400 equivalent independent excitatory Poisson afferents, each adding 4 nS of AMPA conductance. We initialized voltages at −65 mV, simulated a 500 ms hidden baseline, then preserved state through the 600 ms display. From displayed time 200 ms, both populations received a 50% rate increase with a 50 ms rise, 100 ms plateau and 50 ms fall (Fig. 2C).
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Measure population activity. We measured per-neuron firing rates during baseline (0–200 ms), plateau (250–350 ms) and recovery (400–600 ms). Synchrony was the mean pairwise Pearson correlation of 10 ms spike counts among up to 100 evenly sampled neurons per population with nonzero count variance. We calculated median interspike-interval coefficient of variation (CV) among neurons producing at least five spikes, retaining the eligible-neuron count.
The retained pipeline reproduces the selected configuration. The earlier exploratory calibration search is not retained as an identified input to this report and is not independently reproducible from this pin. Its selection limits the scope of the displayed result.
Network diagrams
The circuit contains 1,600 excitatory and 400 inhibitory neurons with recurrent AMPA and GABA synapses (Fig. A1). Each neuron receives independent excitatory Poisson input; recurrent I neurons provide inhibition.
Figure A1: Structural view of the compiled network, showing the E and I populations, recurrent AMPA and GABA projections, and private excitatory inputs. Input dimensions describe aggregate channels, one per target neuron; both private inputs provide excitation. and denote private excitatory input banks targeting E and I. Every projection is labelled , with target first and source second. Arrowheads show excitation; bars show inhibition. Recording aliases and score reductions are omitted.
Parameters
| Parameter | Recorded value |
|---|---|
| Network | |
| Native parameter snapshot | Unavailable |
| Input channels | Unavailable |
| Populations | Unavailable |
| Membrane model | Unavailable |
| Neurons | |
| Membrane capacitance | Unavailable |
| Leak conductance | Unavailable |
| Resting potential | Unavailable |
| Reset potential | Unavailable |
| Threshold | Unavailable |
| Refractory period | Unavailable |
| Membrane time constant | Unavailable |
| Synapses and weights | |
| Native synapse and weight parameters | Unavailable |
| Input and simulation | |
| External afferents per neuron | 400 |
| Baseline E source rate | 0.8 Hz |
| Baseline I source rate | 0.8 Hz |
| Stimulus E source rate | 1.2000000000000002 Hz |
| Stimulus I source rate | 1.2000000000000002 Hz |
| Seed | 7 |
| Timestep | 0.1 ms |
| Duration | 1100 ms |
| Hidden baseline | 500 ms |
| Pulse onset | 700 ms |
| Pulse peak | 750 ms |
| Plateau end | 850 ms |
| Pulse offset | 900 ms |
| Analysis | |
| isi cv | median across neurons with at least five spikes in epoch |
| pair correlation | mean Pearson correlation of 10 ms counts across at most 100 evenly sampled neurons with nonzero variance |
| population rate alignment | causal trailing |
| population rate window ms | 20 |
| rhythmicity | SNNSIM rhythmicity_metrics contrast, 1 ms bins, maximum lag 100 ms |
| spectrum | Welch population counts, 1 ms bins, 500 ms segments, default Hann window and 50 percent overlap; peak 20-100 Hz and band fraction relative to 1-200 Hz; not a PING classifier |
Dataset
Upstream: —
Downstream: —
Current runset
| Run | Date | Duration | Size | Evidence | Storage | Ran on | Verification |
|---|---|---|---|---|---|---|---|
| exp099-r010-present | 1s | 4.1 MB | Current | R2 | Local | Local: absent; R2: catalog-verified | |
| exp099-r002-analyse | 1s | 196.9 KB | Current | R2 | Local | Local: absent; R2: catalog-verified | |
| exp099-r001-compute | 6s | 1.9 MB | Current | R2 | Local | Local: absent; R2: catalog-verified |
References
- E. Susin and A. Destexhe. “Integration, coincidence detection and resonance in networks of spiking neurons expressing Gamma oscillations and asynchronous states.” PLOS Computational Biology 17(9), e1009416 (2021). doi:10.1371/journal.pcbi.1009416