[Verse 1]
In the hippocampus, place cells hold their ground
Single firing field, one spot where they're found
Context-specific, they shift when scenes change
But grid cells in MEC got a different game
Multiple fields across the spatial map
Hexagonal lattice, no contextual gap
Geometry steady while phase might drift
MEC's the foundation, hip's contextual shift
[Chorus]
Grid score measures that hexagonal flow
Autocorrelogram tells us what we need to know
Spacing, orientation, phase parameters three
Dorsal tight grids to ventral spacing free
Allocentric anchored to the world outside
MEC transforms what the body can't hide
[Verse 2]
Allocentric coding, world-anchored and true
MEC speaks in coordinates that environments knew
While postrhinal cortex goes egocentric route
Body-centered signals that move about
Transformation happening in the neural space
Converting self-motion to environmental place
Adjacent regions feeding different frames
MEC unifies them in spatial games
[Chorus]
Grid score measures that hexagonal flow
Autocorrelogram tells us what we need to know
Spacing, orientation, phase parameters three
Dorsal tight grids to ventral spacing free
Allocentric anchored to the world outside
MEC transforms what the body can't hide
[Verse 3]
Head direction cells keep the compass straight
Border cells fire when walls dictate
Speed cells encode the locomotion rate
All converging where the grids create
Path integration through the neural maze
Dead reckoning through the spatial haze
Even in darkness, grids maintain their form
Internal compass weathering every storm
[Bridge]
Within modules, spacing and orientation shared
But phase offsets get uniformly paired
Tiling the surface with systematic shift
Each cell's position is the module's gift
Grid score limitations, gotta understand
Elliptical patterns might escape its hand
Sheared distortions slip through the test
Hexagonal bias in the measurement fest
[Verse 4]
Dorsoventral axis shows the gradient climb
Grid spacing increases, keeping perfect time
Small tight grids up in the dorsal zone
Ventral fields expanded, larger zones they own
Hippocampal fields follow the same rule
Place cell size matching, nature's design tool
Ten centimeters dorsal, meters down below
Spatial resolution in organized flow
[Chorus]
Grid score measures that hexagonal flow
Autocorrelogram tells us what we need to know
Spacing, orientation, phase parameters three
Dorsal tight grids to ventral spacing free
Allocentric anchored to the world outside
MEC transforms what the body can't hide
[Outro]
From place to grid, the story unfolds
Neural cartography that never gets old
MEC and hippocampus working in sync
Spatial memory stronger than you think