[Verse 1]
Two compartments in one cell, apical up high
Basal down below where the dendrites multiply
Model the pyramidal neuron's dual design
Proximal learns local, distal reads the signs
Compartmental voltage separated by resistance
Teaching through gradients with elegant persistence
[Chorus]
Apical-basal mismatch shows the error way
Burst-multiplexing codes what neurons really say
Dendrite segregation makes the learning flow
Cortical columns compute what we need to know
[Verse 2]
Derive the magic moment when the signals align
Backprop error equals mismatch by design
When distal feedback matches proximal drive
The learning rule emerges, mathematics come alive
Context from above meets the data from below
Biological gradients make the knowledge grow
[Chorus]
Apical-basal mismatch shows the error way
Burst-multiplexing codes what neurons really say
Dendrite segregation makes the learning flow
Cortical columns compute what we need to know
[Verse 3]
Burst-rate resolution scales the channel wide
Information capacity climbing with each stride
Temporal precision in the spike-train dance
Higher burst rates give more communication chance
Multiplexed messages in the firing code
Neural bandwidth expanding down the processing road
[Verse 4]
Layer five pyramidal cells with apical crowns
Reaching to layer one where feedback comes around
Thalamic loops and cortical cascades
Information highways through the neural blockades
Calcium spikes in the dendritic tree
Nonlinear dynamics setting signals free
[Bridge]
Small task demonstration, watch the learning curve
Two-compartment model showing what we observe
Gradient descent emerging from the cellular math
Distributed computation on the neural path
[Chorus]
Apical-basal mismatch shows the error way
Burst-multiplexing codes what neurons really say
Dendrite segregation makes the learning flow
Cortical columns compute what we need to know
[Outro]
From pyramidal cells to computational might
Dendrite segregation makes the learning right
Burst codes and gradients in the cortical maze
Neural mathematics in the learning phase
[Final Chorus]
Apical-basal mismatch shows the error way
Burst-multiplexing codes what neurons really say
Dendrite segregation makes the learning flow
Cortical columns compute what we need to know