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Neuronal Grammar: Dynamics of Neural Networks in Brain Science

This article delves into the cooperative processes underlying neuronal activity changes, exploring spontaneous shifts and network dynamics. It discusses how activity changes in input units are influenced by external stimulation and connections between different units. The text also covers refractoriness, threshold regulation, and inhibition between lexical category representations. Through detailed explanations and examples, readers can gain insights into the intricate working of neuronal systems in brain functions.

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Neuronal Grammar: Dynamics of Neural Networks in Brain Science

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  1. 10. NeuronalGrammar 뇌과학 협동과정 김태완

  2. A1. Spontaneous changes of activity in set S • S(0,t) ⇛ S(0,t+1) • S(I,t) ⇛ S(R1,t+1) • S(Pi,t) ⇛ S(0,t+1) • S(Ri,t) ⇛ S(Ri,t+1) • Refractoriness: • If S(I,t), then S cannot ignite at t+1 or at t+2. • Network dynamics property

  3. A2. Activity change in an input unit S caused by external stimulation • S(0,t), S(E,t) ⇛ S(I^,t+1) • S(P1,t),S(E,t) ⇛ S(I,t+1) • S(Pi,t),S(E,t) ⇛ S(I^,t+1) • If i>1 • S(R1,t),S(E,t) ⇛ S(I,t+1) • S(Ri,t),S(E,t) ⇛ S(I^,t+1) • If i>1

  4. A3. Activity changes caused in Sq through a connection between Sp and Sq • Sp(I,t), Sq(Ri,t) ⇛ Sq(I,t+1) • Only if i=1 or 2 • Sp(I,t), Sq(0,t) ⇛Sq(P1,t+1) • Only if Sp ⇛ Sq • Sp(Ri,t), Sq(0,t) ⇛ Sq(Pi,t+1) • Only if Sp ⇛ Sq • Sp(Pi,t), Sq(0,t) ⇛ Sq(Pi, t+1) • Only if Sp ⇛ Sq and Sp is a sequence set

  5. A4. Activity changes caused in Sr through connections with Sp and Sq • Sp(I,t),Sq(I,t),Sr(0,t) ⇛ Sr(I,t+1) • Sp(I,t),Sq(Ri,t),Sr(0,t) ⇛ Sr(I,t+1) • Only if i=1 or 2 and Sq ⇛ Sr • Sp(I,t),S(Pi,t),Sr(0,t) ⇛ Sr(I,t+1) • Only if i=1 or 2, and Sq ⇛ Sr • Sq is a sequence set

  6. A5. Threshold Regulation • If a full Ignition I^ of an input unit happens at t, then for all reverberating S :S(Ri,t) ⇛ S(Ri+1, t+1) • If there is no ignition or reverberation at R1 at t, then – for all reverberating S:S(Ri,t) ⇛ S(Ri-1,t+1)

  7. A6. Inhibition between two lexical category representations α and β connected to an active input S that ignites or reverberates at R1: • Ignition of S can only S can spread to sets included in either α or β. The most strongly activated representation wins. • If one or more sets included in α but not in β ignite at t, then no set included in β and not included in α can exhibit I, P1, or R1 at t+1.

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