[Verse 1] Inside each neuron lives a secret maze Dendrites branch like circuits, electric pathways blaze OR gates span the branches, any one can fire If branch one or branch two hits the threshold wire But within each branch the AND gates take control Synapse A and B and C must reach the goal Clustered tight together, coincident and true NMDA needs glutamate and voltage coming through [Chorus] Single neuron logic, breaking all the rules OR across the branches, AND within the tools NOT gates shut the pathway, veto what you see XOR seems impossible but dendrites hold the key Two-layer computation hiding in one cell Branch nonlinearity with stories yet to tell [Verse 2] Inhibition strikes precise, a surgical blade Shunting current, gating branches, veto plans are made Fire on branch one AND NOT the IPSP Dendrite-targeting shutdown, inhibitory spree Now XOR emerges from this complex dance Two different routes give boolean romance Architecture builds it: A and not B Or B and not A, through dendritic tree [Chorus] Single neuron logic, breaking all the rules OR across the branches, AND within the tools NOT gates shut the pathway, veto what you see XOR seems impossible but dendrites hold the key Two-layer computation hiding in one cell Branch nonlinearity with stories yet to tell [Verse 3] Gidon's revelation shook the neural ground Calcium spikes in human dendrites, band-pass response found Intermediate input drives the maximal fire Strong input suppresses, tuned to wire desire Non-monotonic curves defy the linear law XOR in single dendrites, without a structural flaw Layer five pyramidal cells hold this treasure Dendritic action potentials beyond simple measure [Verse 4] Pattern recognition lives in every tree Context modulation sets the dendrites free Apical tufts receiving top-down control Basal branches process, playing their role Multiplicative gating through dendritic spines Compartmentalized learning in neural designs Each branch remembers its synaptic weight Plasticity rules determine neuron fate [Bridge] Poirazi showed the model, two layers in disguise Each dendritic subunit, a sigmoid that flies Layer one computes the weighted sum with grace Layer two at soma sets the final pace One neuron equals small MLP Hidden units matching dendrite autonomy Not one perceptron but a network complete Multiple logic functions in one neural feat [Outro] Order of operations makes the magic real Branch computation first, then somatic deal The expressive jump that hidden layers bring Lives inside each neuron, computational king [Final Chorus] Single neuron logic, breaking all the rules OR across the branches, AND within the tools NOT gates shut the pathway, veto what you see XOR seems impossible but dendrites hold the key Two-layer computation hiding in one cell Branch nonlinearity with stories yet to tell
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