M1 as a Dynamical System

Data Engineering with dbt · 3:39

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Lyrics

[Verse 1]
Forget the old idea, a list of coded cues,
Each neuron with a label, one direction it pursues.
Churchland and Shenoy said, "Look closer, look again,
M1's not a dictionary, it's a current without end."
Population patterns rising, falling like a tide,
A dynamical engine with the reach state locked inside.

[Chorus]
M1, мотор — not a map, it's a machine,
Крутится, вертится — the cleanest pattern seen.
From the state it started, watch the circuit spin and flow,
Это не список — it's an engine, let it go!
Вращение, вращение — jPCA shows the way,
Dynamics write the movement, that's the lesson for today.

[Verse 2]
Take a hundred channels off a Utah array's grid,
Run them through a PCA, uncover what they hid.
Project it into jPCA space, and circles start to trace,
Rotational dynamics turning round at steady pace.
Not one neuron tells the story, not alone, not solo cast,
The population's choreography makes the motion last.

[Chorus]
M1, мотор — not a map, it's a machine,
Крутится, вертится — the cleanest pattern seen.
From the state it started, watch the circuit spin and flow,
Это не список — it's an engine, let it go!
Вращение, вращение — jPCA shows the way,
Dynamics write the movement, that's the lesson for today.

[Verse 3]
Before you even twitch a muscle, neurons start to prep,
Setting the initial condition, counting out the step.
Output-null's the secret trick: prepare without the jerk,
A hidden subspace holds the plan while muscles stay at work.
Then the output-potent channel opens like a sluice,
And the trajectory you built comes rolling loose.

[Bridge]
Старт is not the action, just the needle pulled to zero,
Initial state decides the arc, the dynamical hero.
No parameter list, no symbol carved in stone,
Just a vector field in cortex, dancing on its own.
Начало, начало — the clock before the chime,
Setting up the engine, waiting out its time.

[Verse 4]
Now decoders ride this engine, read the spin, not just the rate,
Build a smarter BCI that learns to anticipate.
Old debates on coding crumble, shaken at the core,
Dynamical systems thinking rewrites the final score.
This question keeps returning, open chapters still ahead,
Мотор всё ещё крутится — the story's not yet said.

[Verse 5]
Switch the context, change the reach, the rules shift down the line,
Yet the rotational current holds its elegant design.
Different tasks, same engine turning, flexible and true,
Low-dimensional currents carry everything you do.
Perturb it with a pulse of current, watch it self-correct,
The dynamics find their rhythm, nothing left to second-guess.

[Outro]
М1 — мотор, не список, hear the circuit hum,
Watch the state unfold now, watch the pattern come.
Крутится, вертится, from the start to final beat,
Dynamical and rolling — the brain's own engine feat.
Мотор, мотор, forever turning, never incomplete.

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