Table 1. Experimental and model cell numbers, along with incoming synaptic numbers, strengths, and time constants.
Cell | Number | Synapse | Number of synapses per cell | Experiment: PSP / PSC amplitude, peak / fall times | Modeling strategy | Model: max conductance & time constants; Simulated PSP amplitude & peak / fall times |
---|---|---|---|---|---|---|
ORN | 104 / glomerulus | As Poisson spikes | ||||
PG | 70–85% of juxtaglomerular (JG) cells (1500–2000 [20]) [21] i.e. ~1000 / glomerulus | ORN→PG | ~50 spines (estimated from 25 in mice [22]). | EPSP 3 mV [23,24], τf ~ 5 ms [24] | 1000 PG / glomerulus; 50 ORN→PG synapses per PG. | gmax = 0.45 nS for plateauing and 1.25 nS for low-threshold spiking PG cell, τ1 = 1 ms, τ2 = 1 ms (same for both synapses); simulated EPSP: ~7-8 mV, τp ~ 2 ms, τf ~ 5 ms. |
M/T→PG or ET→PG | Similar to above. | EPSP 6–10 mV [24,25], τf ~ 5 ms [24] | 25 M→PG per PG. | Same as above. | ||
ET | 10% of JG cells (M.T. Shipley, email, 2010) [26,27]. Hence ~150–200 / glomerulus | ORN→ET; SA─┤ET | Absorbed into ORN Poisson spikes. | |||
SA | 15–20% of JG cells are ET / SA [26] (mice). 1:1 with M/T [27]. So, ~100 / glomerulus. | Not much inter-glomerular inhibition in vivo [28], so ignored. | ||||
M/T | 25 M / 50 T per glomerulus [27] | ORN→M | 460–1500 [29] | Conflicting EPSP amplitudes: ~3 mV [30], to ~0.1 mV [29], τp = 6 ms, τf = 12 ms [30]. | 2 mitral cells / glomerulus; 400 ORN→M on mitral tuft. | gmax = 6 nS, τ1 = 1 ms, τ2 = 1 ms; simulated EPSP: ~1 mV, τp ~ 7 ms, τf ~ 80 ms (Large time constant of our mitral cell model caused long EPSPs) |
G ─┤M | 104 [11,31] | IPSC amplitude decays with distance [32]. IPSCs have τp ~ 5 ms, τf ~ 30 ms [33]; spontaneous IPSPs are not well resolved, but may have similar τp = 5 ms, τf = 30 ms [34,35]. | 104 G ─┤M on mitral soma, apical and lateral dendrites. | proximal gmax = 1 nS but 4× if ‘super-inhibitory’ in default network (1.5 nS in random / directed network as it had no ‘super-inhibitory’ synapses), τ1 = 1 ms, τ2 = 20 ms; simulated IPSP: ~ –0.9mV (proximal), τp ~ 26 ms, τf ~ 115 ms; (long IPSPs as above. We verified that reducing τ2 to 1 ms to get short IPSPs did not affect our results qualitatively, since gmax was set by activity-dependent inhibition, and its value had to increase (to 12 nS) to compensate. In any case, the composite IPSP due to multiple granule cells has τf > 200 ms [36,37].) | ||
PG ─┤M | ~100 (PG spines are connected to both M/T and ET i.e. ~250 cells) | IPSCs are similar to above G ─┤M synapse [38]. | 100 PG ─┤M on mitral tuft, | gmax = 1 nS, τ1 = 1 ms, τ2 = 20 ms; simulated IPSP: ~ –0.2 mV, τp ~ 28 ms, τf ~ 117 ms; (as above, we verified that setting τ2 = 1 ms with gmax = 30 nS did not change our results qualitatively.) | ||
G | 50 to 100 G per M/T [27] | M→G | 100 spines [27]. Assume each spine has a reciprocal synapse. | EPSP ~3.5 mV in vivo [39]; τ-s from sources [39,40,33]; Mg-block voltage-dependence and NMDA to AMPA ratio from experiment [33]. | 2500 G-s per glomerulus: shared G-s were retained 1:1; but non-shared were aggregated 100:1; unconnected were pruned. | AMPA: gmax = 0.2 nS, τ1 = 1 ms, τ2 = 4 ms; NMDA: gmax = 0.26 × AMPA gmax, τ1 = 25 ms, τ2 = 200 ms; (3× for distal ‘super-inhibitory’ synapses); simulated EPSP: ~2 mV, τp ~ 13 ms, τf ~ 50 ms. |
τp is the time to peak, and τf the time to fall (to 20% of peak) in the relevant cell. All synaptic conductances were modeled as dual exponential