How pattern formation in ring networks of excitatory and inhibitory spiking neurons depends on the input current regime

. 2014 Jan 7;7:187. doi: 10.3389/fncom.2013.00187

D	NEURON AND SYNAPSE MODEL
Name	LIF neuron
Type	Leaky integrate-and-fire, δ-current input
Subthreshold dynamics	$\begin{array}{l} τ_{m} \dot{V} (t) = - V (t) + R I (t) if t > t^{*} + τ_{ref} \\ V (t) = V_{res} else \\ R I (t) = \sum_{j = 1, i \neq j}^{N + N_{ext}} τ_{m} W_{i j} \sum_{k} δ (t - t_{i, k} - d) + R I_{x} (t), W_{i j} \in {- g J, 0, J} \end{array}$
Spiking	If V(t−) < θ ∧ V(t+) ≥ θ
	1. set t^* = t
	2. emit spike with time-stamp t^*