Table I.
Brain parameters for normal adults in the alert, eyes‐open state
| Quantity | Symbol | Prior range | Range | Estimate | Unit |
|---|---|---|---|---|---|
| Corticocortical e axon | |||||
| Rangea, b | r e | 50–200 | 89 ± 9 | 86 | mm |
| Axonal velocity | υe | 6–11 | 9.8 ± 1.2 | 10 | m/s |
| Cortical damping ratea, b | γe = υe/r e | 30–220 | 116 ± 4 | 116 | s−1 |
| Corticothalamic | |||||
| Axonal velocity | V | 4–11 | 4.5 ± 0.5 | 4.2 | m/s |
| Loop distance | R | 100–400 | 360 ± 40 | 360 | mm |
| Loop delaya, b | t 0 = R/V | 9–100 | 85 ± 1 | 85 | ms |
| Synaptodendritic | |||||
| Decay timea, b | 1/α | 5–200 | 12 ± 2 | 12 | ms |
| Rise timea, b | 1/β | 0.4–60 | 1.3 ± 0.3 | 1.3 | ms |
| Maximum firing ratea | Q max | 100–1,000 | 220–500 | 340 | s−1 |
| Firing thresholda | θ | 10–25 | 10–17 | 13 | mV |
| Threshold spreada | σ′ | 2–6 | 3.8 ± 0.2 | 3.8 | mV |
| Threshold ratio | θ/σ′ | 1.7–12 | 3.4 ± 0.9 | 3.4 | — |
| Firing rate | |||||
| e Neurons | ϕ | 16 ± 2 | 16 ± 2 | 16 | s−1 |
| s Neurons | ϕ | 16 ± 7 | 16 ± 7 | 16 | s−1 |
| r Neurons | ϕ | 24 ± 5 | 24 ± 5 | 24 | s−1 |
| n Neurons | ϕ | 16 ± 4 | 16 ± 4 | 16 | s−1 |
| Resting firing rate | ϕ0 | 4–18 | 7–18 | 11 | s−1 |
| Sigmoid slope | |||||
| For e neurons | ρe | 1–10 | 3.5–5.0 | 4.2 | (mV s)−1 |
| For s neurons | ρs | 1–10 | 2.0–6.7 | 4.2 | (mV s)−1 |
| For r neurons | ρr | 1–10 | 5.0–7.6 | 6.3 | (mV s)−1 |
| Afferent synapses | |||||
| Per e neuron | N e = N ee + N ei + N es | (4–40) × 103 | (4–40) × 103 | 1.2 × 104 | — |
| Per s neuron | N s = N se + N sr + N sn | 1,000–8,000 | 1,000–8,000 | 2,100 | — |
| Per r neuron | N r = N re + N rs | 1,000–8,000 | 1,000–8,000 | 3,400 | — |
| e Synapses/e neuron | N ee = (0.75–0.85)N e | (3–34) × 103 | (3–34) × 103 | 104 | — |
| i Synapses/e neuron | N ei = (0.1–0.15)N e | 400–6,000 | 400–6,000 | 1,600 | — |
| s Synapses/e neuron | N es = (0.05–0.1)N e | 200–4,000 | 200–4,000 | 800 | — |
| e Synapses/s neuron | N se = (0.3–0.6)N s | 300–4,800 | 300–4,800 | 1,100 | — |
| r Synapses/s neuron | N sr = (0.2–0.4)N s | 200–3,200 | 200–3,200 | 550 | — |
| n Synapses/s neuron | N sn = (0.1–0.5)N s | 100–4,000 | 100–4,000 | 450 | — |
| e Synapses/r neuron | N re = (0.7–0.8)N r | 700–6,400 | 700–6,400 | 2,700 | — |
| s Synapses/r neuron | N rs = (0.2–0.3)N r | 200–2,400 | 200–2,400 | 700 | — |
| Synapse strength | |||||
| e Synapse on e neuron | s ee | <10 | 0.03–0.7 | 0.15 | μV s |
| i Synapse on e neuron | −s ei | <10 | 0.3–6 | 1.3 | μV s |
| s Synapse on e neuron | s es | <10 | 0.05–5 | 0.5 | μV s |
| e Synapse on s neuron | s se | <10 | 0.04–6 | 0.5 | μV s |
| r Synapse on s neuron | −s sr | <10 | 0.06–10 | 0.8 | μV s |
| n Synapse on s neuron | s sn | <10 | 0.03–5 | 0.4 | μV s |
| e Synapse on r neuron | s re | <10 | 0.004–0.5 | 0.07 | μV s |
| s Synapse on r neuron | s rs | <10 | 0.003–0.3 | 0.05 | μV s |
| Synaptic producta | |||||
| ee | νee = N ee s ee | 0.3–340 | 1.6 ± 0.4 | 1.60 | mV s |
| ei | −νei = −N ei s ei | 0.04–60 | 1.9 ± 0.5 | 1.90 | mV s |
| es | νes = N es s es | 0.02–40 | 0.2–1.0 | 0.39 | mV s |
| se | νse = N se s se | 0.03–48 | 0.2–2.0 | 0.60 | mV s |
| sr | −νsr = −N sr s sr | 0.02–32 | 0.2–2.8 | 0.45 | mV s |
| sn | νsn = N sn s sn | 0.01–40 | 0.1–0.5 | 0.15 | mV s |
| re | νre = N re s re | 0.07–64 | 0.03–0.3 | 0.15 | mV s |
| rs | νrs = N rs s rs | 0.02–24 | 0.007–0.06 | 0.03 | mV s |
| Gain | |||||
| ee b | G ee | 3–3,400 | 6.8 ± 0.2 | 6.8 | — |
| ei b | −G ei | 0.4–600 | 8.1 ± 0.2 | 8.1 | — |
| es | G es | 0.2–400 | 0.9–3.3 | 1.7 | — |
| se | G se | 0.3–480 | 1.1–3.8 | 2.5 | — |
| sr | −G sr | 0.2–320 | 1.2–5.5 | 1.9 | — |
| sn | G sn | 0.7–1.0 | 0.7–1.0 | 0.8 | — |
| re | G re | 0.7–640 | 0.25–1.3 | 1.0 | — |
| rs | G rs | 0.2–240 | 0.06–0.28 | 0.19 | — |
| Positive CT loopb | G ese = G es G se | 6 × 10−4–2,000 | 4.2 ± 0.2 | 4.2 | — |
| Negative CT loopb | −G esre = −G es G sr G re | 3 × 10−5–8 × 104 | 3.1 ± 0.1 | 3.1 | — |
| Intrathalamic loop | −G srs = −G sr G rs | 6 × 10−4–800 | 0.37 ± 0.05 | 0.37 | — |
| Input path | G esn = G es G sn | 0.4–400 | 0.6–3.3 | 1.4 | — |
| Spatial low‐pass wavenumber | k 0 | — | 29 ± 9 | 29 | m−1 |
| Spatial low‐pass wavenumber × r e a, b | k 0 r e | — | 2.5 ± 0.5 | 2.5 | — |
The first column gives a brief description of the parameter, with its symbol listed in the second. The third column gives the range currently obtainable without imposing model‐based constraints, while the fourth gives the range obtained here. The fifth column gives a self‐consistent nominal set of parameters. Units of each quantity given in the final column. Only quantities discussed in the present work are listed and concentrate on mean values; individuals will scatter within and around the ranges quoted.
Parameters required for the nonlinear version of the model.
Parameters required for the linear version of the model.
CT, corticothalamic.