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Neuroscope
December 16, 2024
“On latitudes this low the sun sets orthogonally to the horizon”—such is the
opening line of Methyl Orange. “With all its vertical velocity it moved quickly
beneath the edge of the world down towards another,” the book continues.
That the sun sets more quickly the closer one gets to the equatorial line, is
rarely appraciated by the peoples there, since it is a quality only made aparent
by comparison to a pooint much further towars the poles—an expression rarely
afforded to most.
That cartography has a place in geography is a truism. Ineed, perhaps the first
thing we ever had to navigate was the world, with all its hills, valeys, treasure
ous paths, rivers, and land marks, etc. Much of this is done by the amygduly, a
near the brain stem, part of the primitivae brain, indicating the primodial need
for navigation of landscapes. The history of war is largely one of landscapes,
read any memoir of a battle. Futher, the expresison geography is destiny aludes
to the importance of the geographic world. Farely self explanatory. Making the
rules that govern the shape of the world excplit has been a prerequisite for our
modern world. Much has been writting about the relationships between maps
and terretories
[1]
. The most similar geographical counterpart to the cerebral
cortex is perhaps Vale da Lua in Goiás, Brazil.
The 1999 atlas of the brain
fsaverage
“Neurons that fire together, wire
together”
is a frequent adage in neuroscience, often followed by its corollary
“out of sync, lose your link”
. That the brain is a network of neurons is, at
this point, a truism. The quote posits that if neurons are active at the same
time, their connection strengthens, and by the corollary, if they are not, their
connection weakens. “Connection” in this context can be thought of as how
much one neuron influences another. Mathematically, a neuron’s activation
can be thought of a weighted sum of the activations of its neighbors. We are
then asked to imagine a network in which nodes are occasionally active,
and
in which connections between active nodes tend to strengthen. Suppose then
attaching certain nodes to the outside world, having their activation depend
not on other neurons, but on external stimuli (light, sound, whatever), and at
taching other nodes to actuators, things that move in the world. Transforming
the adage into computation yields a system that then “does well” in the world.
In the context of artificial inteligence (AI), we call this Hebbian learning, the
namesake of Donald Hebb, who the quote is therefore often misattributed to in
the AI community.
A truism as “the brain is a network of neurons” might be, there is, however,
some wiggle room in its meaning: It is perhaps almost as well known that
we cannot yet simulate a brain, or monitor it on the neuron level. And yet,
that is where this network exists, nerve cells connected by synapses, axons,
dendrites, and so on, communicating chemically with neurotransmitters, elec
trically with action potentials. It is a dynamic system, the most complex known
to us. The most similar system we have in AI is perhaps spiking neural networks,
(SNNs) with their time-dependent activations, relatively trivially implemented
in software like
spyx
[2]
. Does the inaccessibility of the brain neuron-level
network mean the network science is reserved for the largely abstract parts of
neuroscience? The short answer is NO. The brain can be thought of as a network
on a
variety
of levels
[3]
. A good approximation of
variety
in this context is
three:
1.
Microscale: The network of neurons, synapses, and neurotransmitters.
2.
Mesoscale: The network of brain regions, connected by structural connec
tivity.
3.
Macroscale: The network of brain regions, connected by functional connec
tivity.
Nodes in the latter two domains might be regions of brain matter in cubic mi
crometers, cubic millimeters, or even centimeters. What then are connections?
One answer is to take the afore mentioned adage as scripture, and compute
correlation coefcicients between voxels (pixel like cubes of brain activiations
scanned by MRI machines). Doing so, successfully allows us to reconstruct,
forexample, what people are looking at from fMRI scans alone
[4]
,
[5]
. Under
standing how to best construct connectomes on these high levels is an ongoing
project
[6]
. For more on this see
/neuroscope
REFERENCES
[1]
B. Fischl, M. I. Sereno, R. B. Tootell, and A. M. Dale, “High-Resolution
Intersubject Averaging and a Coordinate System for the Cortical Surface,”
Human Brain Mapping
, vol. 8, no. 4, pp. 272–284, 1999, doi:
10.1002/
(SICI)1097-0193(1999)8:4<272::AID-HBM10>3.0.CO;2-4
.
[2]
K. M. Heckel and T. Nowotny, “Spyx: A Library for Just-In-Time Compiled
Optimization of Spiking Neural Networks.” Feb. 2024.
[3]
H. Kennedy, D. C. Van Essen, and Y. Christen, Eds.,
Micro-, Meso- and
Macro-Connectomics of the Brain
. Cham (CH): Springer, 2016.
[4]
A. T. Gifford
et al.
, “The Algonauts Project 2023 Challenge: How the Hu
man Brain Makes Sense of Natural Scenes,” no. arXiv:2301.03198. arXiv,
Jan. 2023.
[5]
E. J. Allen
et al.
, “A Massive 7T fMRI Dataset to Bridge Cognitive Neuro
science and Artificial Intelligence,”
Nature Neuroscience
, vol. 25, no. 1,
pp. 116–126, Jan. 2022, doi:
10.1038/s41593-021-00962-x
.
[6]
L. Coletta, M. Pagani, J. D. Whitesell, J. A. Harris, B. Bernhardt, and A.
Gozzi, “Network Structure of the Mouse Brain Connectome with Voxel
Resolution,”
Science Advances
, vol. 6, no. 51, p. eabb7187, Dec. 2020,
doi:
10.1126/sciadv.abb7187
.