Table 3.

Network connectivity and excitability^a

	Spikes	Seizures
Connectivity
Uniform, 2σ2 = 10	Yes	No
Uniform, 2σ2 = 15	Yes	No
Uniform, 2σ2 = 20	Yes	No
Uniform, 2σ2 = 25	Yes	No
Uniform, 2σ2 = 30	Yes	No
Small-world, p = 10	Yes	No
Small-world, p = 20	Yes	Yes
Small-world, p = 30	Yes	No
Small-world, p = 40	Yes	No
Small-world, p = 50	Yes	No
Scale-free, λ = 2.0	Yes	No
Scale-free, λ = 2.5	Yes	No
Scale-free, λ = 3.0	Yes	No
Scale-free, λ = 3.5	Yes	No
Scale-free, λ = 4.0	Yes
Spontaneous release probability
1 × 10−5	Yes	Yes
5 × 10−5	Yes	Yes
1 × 10−4	Yes	Yes
5 × 10−4	Yes	Yes
1 × 10−3	Yes	No

^aFor the connectivity table, spontaneous release probability per second = 0.05. For the spontaneous release probability table, connectivity = small-world, with 25% of connections long-distance. The term long-distance refers to connections to neurons that are >5 neurons away from the index neuron. Uniform connectivity, σ = SD of the Gaussian connectivity probability distribution, connectivity probability being the probability of connecting to a neuron at increasing distance from index neuron. Small-world connectivity, p = percentage of long-distance connections. Scale-free connectivity, λ = exponential in power law for scale-free networks. In scale-free networks, the probability P(k) that a node in the network has k connections to other nodes in the network follows a power law: P(k) ∼ k^−λ. Five independent simulations were run for each of the listed configurations.