. 2020 May 15;14:29. doi: 10.3389/fnbot.2020.00029

Table 2.

Elementary operations realized by hardware neurons.

Operation	Usage
⊕(`const`+`var`)	Inhib. terms $(γ_{m} + κ_{m} \cdot q_{i}^{m})$ , $(γ_{S 2} + q_{i}^{S 2_{a}})$ , $(γ_{S 2} + q_{i}^{S 2_{v}})$ in Equations (9–11)
	Feedback term (1+λ·MOD_i) in Equation (2)
⊖(`const`−`var`)	Conductance terms (β_d−r_i), $(β_{m} - q_{i}^{m})$ in Equations (2, 9)
	and $(β_{d} - p_{i}^{s e n})$ , $(β_{d} - p_{i}^{p o o l})$ in Equations (7, 8)
	and $(β_{d} - q_{i}^{S 1_{a}})$ , $(β_{d} - q_{i}^{S 2_{a}})$ , $(β_{d} - q_{i}^{S 1_{v}})$ , $(β_{d} - q_{i}^{S 2_{v}})$ in Equations (10, 11)
⊙(`const`•`var`)	Transfer func. g^sen() used in Equation (6) and scaling of $S_{i}^{a} \cdot S_{i}^{v}$ in Equation (7)
+(`var`+`var`)	Components EX_i and INH_i of neuron r in Equations (4, 6)
	Excit. $(C_{i}^{a} + C_{i}^{v})$ and inhib. $(g (q_{j}^{S 2 v}) + g (q_{j}^{S 2 a}))$ inputs of q_m in Equation (9)
•(`var`•`var`)	Excitatory input $S_{i}^{a} \cdot S_{i}^{v}$ of p^sen in Equation (7)
	Products with conduct. terms (… )·EX_i, $(\dots) \cdot (C_{i}^{a} + C_{i}^{v})$ in Equations (2, 9)
	and $(\dots) \cdot (S_{i}^{a} + S_{i}^{v})$ , $(\dots) \cdot \sum_{j} \dots$ in Equations (7, 8)
	and $(\dots) \cdot C_{i}^{a}$ , $(\dots) \cdot C_{i}^{v}$ in Equations (10, 11)
	Products with inhib. terms (… )·INH_i, $(\dots) \cdot (\sum_{j} \dots)$ in Equations (2, 9)
	and $(\dots) \cdot \sum_{j} \dots$ in Equations (10, 11)
	Product with feedback term EX_i·(1+λ·MOD_i) in Equation (2)
*`convolution`	Weighted sums $\sum_{j} Λ_{i j} \dots$ in Equations (5, 6, 8–11)
●`root neurons`	ODE terms $\overset{∙}{r_{i}} = - α_{d} r_{i} + (\dots) - (\dots)$ , ${\overset{∙}{q_{i}}}^{m} = - α_{d} q_{i}^{m} + (\dots) - (\dots)$
	and ${\overset{∙}{p_{i}}}^{s e n} = - α_{s e n} p_{i}^{s e n} + (\dots)$ , ${\overset{∙}{p_{i}}}^{p o o l} = - α_{d} p_{i}^{p o o l} + (\dots)$
	and ${\overset{∙}{q_{i}}}^{S 1_{a}} = - α_{d} q_{i}^{S 1_{a}} + (\dots)$ , ${\overset{∙}{q_{i}}}^{S 2_{a}} = - α_{d} q_{i}^{S 2_{a}} + (\dots) - (\dots)$
	and ${\overset{∙}{q_{i}}}^{S 1_{v}} = - α_{d} q_{i}^{S 1_{v}} + (\dots)$ , ${\overset{∙}{q_{i}}}^{S 2_{v}} = - α_{d} q_{i}^{S 2_{v}} + (\dots) - (\dots)$
σ `sigmoid`	h(r_i) in Equation (3)