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Table 1 Symbol definitions for the cortical model

From: Simulations of pattern dynamics for reaction-diffusion systems via SIMULINK

Symbols

Description

Value

Unit

Λ e,b

Inverse-length scale for eb axonal connection

4

cm-1

v

Axonal conduction speed

140

cm s-1

Q e , i max

Maximum firing rate

30, 60

s-1

θ e,i

Sigmoid threshold voltage

-58.5, -58.5

mV

σ e,i

Standard deviation for threshold

3, 5

mV

C

Constant

π/ 3

 

N eb α

Long-range e → b axonal connectivity

2000

-

N eb , ib β

Local e → b, i → b axonal connectivity

800, 600

-

γ e

Excitatory rate-constant

170

s-1

γ i

Inhibitory rate-constant

50

s-1

ϕ eb sc

eb tonic flux entering from subcortex

300

s-1

τ e,i

Neuron time constant

0.04, 0.04

s

V e , i rev

Reversal potential at dendrite

0, -70

mV

V e , i rest

Neuron resting potential

-64, -64

mV

Δ V e , i rest

Offset to resting potential

1.5, 0

mV

ρ e

Excitatory synaptic gain

1.00×10-3

mV s

ρ i

Inhibitory synaptic gain

-1.05×10-3

mV s

D 2

i ↔ i gap-junction diffusive coupling strength

0–2.0

cm2

D 1

e ↔ e gap-junction diffusive coupling strength

D 2/100

cm2