[Verse 1]
In the cortex where the columns rise like towers
Pyramidal cells hold computational powers
Basal dendrites reaching down below
Catching bottom-up signals as they flow
Apical branches stretching to the top
Where feedback signals never seem to stop
Two-compartment architecture so divine
Processing forward and backward in time
[Chorus]
Burst and regular, the rhythm of the mind
Error in the mismatch, predictions realigned
Apical versus soma, when they disagree
That's the learning signal setting neurons free
Microcircuits dancing, plasticity's the key
Cortical columns computing what we'll be
[Verse 2]
Guerguiev-Lillicrap-Richards showed the way
How errors can guide what neurons say
When apical prediction meets somatic drive
The difference teaches how the brain's alive
Backpropagation through anatomy's design
Nature's gradient descent, so refined
Target signals flowing from the top
While feedforward never seems to stop
[Chorus]
Burst and regular, the rhythm of the mind
Error in the mismatch, predictions realigned
Apical versus soma, when they disagree
That's the learning signal setting neurons free
Microcircuits dancing, plasticity's the key
Cortical columns computing what we'll be
[Verse 3]
Sacramento mapped the circuits small and neat
Dendrites weaving patterns so complete
Inhibition sculpting signal flow
Teaching networks everything they know
Payeur revealed the burst-dependent scheme
Multiplexing signals like a data stream
Forward pass and error in one spike train
Efficiency flowing through the brain
[Verse 4]
Layer five pyramids, the masters of the code
Integrating signals down the neural road
Calcium spikes in apical domains
While sodium currents flow through somatic veins
Nonlinear processing at the dendritic tree
Where computation meets biology
Credit assignment solved through evolution's art
Each neuron playing its essential part
[Bridge]
From basal to apical, the story unfolds
Computational mysteries that biology holds
Mismatch detection in cellular space
Learning algorithms nature did embrace
Distributed processing, column by column
Solving problems that seemed impossible to solve them
[Chorus]
Burst and regular, the rhythm of the mind
Error in the mismatch, predictions realigned
Apical versus soma, when they disagree
That's the learning signal setting neurons free
Microcircuits dancing, plasticity's the key
Cortical columns computing what we'll be
[Outro]
In every column, in every cell
The mathematics of learning tell
How structure becomes function's art
Neural networks with a beating heart