bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2022,
Volume and Issue:
unknown
Published: June 6, 2022
Abstract
Mathematical
operations
have
long
been
regarded
as
a
sparse,
symbolic
process
in
neuroimaging
studies.
In
contrast,
advances
artificial
neural
networks
(ANN)
enabled
extracting
distributed
representations
of
mathematical
operations.
Recent
studies
compared
the
visual,
auditory
and
language
domains
ANNs
biological
(BNNs).
However,
such
relationship
has
not
yet
examined
mathematics.
Here
we
used
fMRI
data
series
problems
with
nine
different
combinations
operators
to
construct
voxel-wise
encoding
models
using
both
sparse
operator
latent
ANN
features.
Representational
similarity
analysis
demonstrated
shared
between
BNN,
an
effect
particularly
evident
intraparietal
sulcus.
Feature-brain
served
reconstruct
representation
based
on
Such
reconstruction
was
more
efficient
when
features
from
deeper
layers.
Moreover,
allowed
decoding
novel
during
model
training
brain
activity.
The
current
study
provides
insights
into
code
underlying
thought.
Biosystems,
Journal Year:
2023,
Volume and Issue:
232, P. 104999 - 104999
Published: Aug. 11, 2023
Perception
of
numerousness,
i.e.
number
items
in
a
set,
is
an
important
cognitive
ability,
which
present
several
animal
taxa.
In
spite
obvious
differences
neuroanatomy,
insects,
fishes,
reptiles,
birds,
and
mammals
all
possess
"number
sense".
Furthermore,
information
regarding
numbers
can
belong
to
different
sensory
modalities:
animals
estimate
visual
items,
tones,
or
their
own
movements.
Given
both
the
heterogeneity
stimuli
brains
processing
these
stimuli,
it
hard
imagine
that
cognition
be
traced
back
same
evolutionary
conserved
neural
pathway.
However,
neurons
selectively
respond
have
been
described
higher-order
integration
brain
centres
primates
two
distant
groups.
Although
most
probably
not
origin,
share
remarkable
similarities
response
properties.
Instead
homology,
this
similarity
might
result
from
computational
advantages
underlying
coding
mechanism.
This
means
one
expect
numerousness
undergo
similar
steps
even
pathways.
Following
logic,
review
we
summarize
our
current
knowledge
how
processed
input
abstract
centres.
We
also
propose
list
key
open
questions
promote
future
research
on
cognition.
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2023,
Volume and Issue:
unknown
Published: Dec. 18, 2023
Abstract
Representing
the
number
of
items
in
sets
(numerosity)
is
a
core
and
evolutionary
ancient
ability.
In
recent
fMRI
study
Castaldi
et
al.
(eLife
2019)
showed
that
visual
numerosity
represented
independently
from
other
features
starting
early
areas
progressively
amplified
along
dorsal
stream
hierarchy
up
to
parietal
areas.
However,
because
this
we
recorded
brain
activity
restricted
volume,
performed
analyses
only
series
retinotopically
organized
regions
interest
stream,
still
miss
an
exhaustive
picture
full
network
encoding
pure
across
whole
brain.
research
advance,
extend
findings
two
significant
ways.
First,
which
allowed
us
characterize
neural
responses
beyond
using
searchlight
analysis
addition
ROIs
approach.
Second,
classical
model-based
analytical
approach,
such
as
RSA,
compared
representational
geometries
different
multi-dimensional
scaling,
hypothesis-free
approach
capable
unveiling
latent
dimensions
might
otherwise
go
unnoticed.
Our
results
confirm
over
above
enhanced
associative
but
also,
notably,
ventral
stream.
We
also
found
representations
association
differ
substantially
those
areas,
both
streams
on
similar
manifold
akin
curved
line,
structure
suggestive
their
involvement
numerosity-based
decision
making.
Taken
together,
these
call
for
important
revision
existing
neurocognitive
models
cognition.
Impact
statement
Visual
reflects
variables,
suggesting
common
role
decision-making.
PLoS ONE,
Journal Year:
2024,
Volume and Issue:
19(7), P. e0304211 - e0304211
Published: July 25, 2024
Substantial
progress
has
been
made
in
understanding
the
neurocognitive
underpinnings
of
learning
math.
Building
on
this
work,
it
hypothesized
that
declarative
and
procedural
memory,
two
domain-general
memory
systems,
play
important
roles
acquiring
math
skills.
In
a
longitudinal
study,
we
tested
whether
fact
predict
children's
skills
during
elementary
school
years.
A
sample
109
children
was
across
grades
2,
3
4.
Linear
mixed-effects
regression
structural
equation
modeling
revealed
following.
First,
but
not
associated
with
within
each
grade.
Second,
grade
related
to
all
later
(e.g.,
2
4).
Sensitivity
analyses
showed
pattern
results
robust,
except
for
prediction
when
accounting
stable
inter-individual
differences
via
inclusion
random
intercepts.
Our
findings
highlight
foundational
role
early
acquisition
European Journal of Neuroscience,
Journal Year:
2023,
Volume and Issue:
57(6), P. 1003 - 1017
Published: Jan. 30, 2023
Mathematical
problems
can
be
described
in
either
symbolic
form
or
natural
language.
Previous
studies
have
reported
that
activation
overlaps
exist
for
these
two
types
of
mathematical
problems,
but
it
is
unclear
whether
they
are
based
on
similar
brain
representations.
Furthermore,
quantitative
modelling
problem
solving
has
yet
to
attempted.
In
the
present
study,
subjects
underwent
3
h
functional
magnetic
resonance
experiments
involving
math
word
and
expression
a
read
condition
without
any
calculations
was
used
as
control.
To
evaluate
representations
quantitatively,
we
constructed
voxel-wise
encoding
models.
Both
intra-
cross-format
significantly
predicted
activity
predominantly
left
intraparietal
sulcus
(IPS),
even
after
subtraction
control
condition.
Representational
similarity
analysis
principal
component
revealed
with
different
formats
had
cortical
organization
IPS.
These
findings
support
idea
represented
format-invariant
manner.
Cold Spring Harbor Perspectives in Biology,
Journal Year:
2023,
Volume and Issue:
15(12), P. a041526 - a041526
Published: Dec. 1, 2023
Andreas
Nieder
Animal
Physiology
Unit,
Institute
of
Neurobiology,
University
Tübingen,
72076
Germany
Correspondence:
andreas.nieder{at}uni-tuebingen.de
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2023,
Volume and Issue:
unknown
Published: Dec. 6, 2023
Abstract
Whether
non-symbolic
encoding
of
quantity
is
predisposed
at
birth
with
dedicated
hard-wired
neural
circuits
debated.
Here
we
presented
newly-hatched
visually
naive
chicks
stimuli
(flashing
dots)
either
identical
or
different
numerousness
(with
a
ratio
1:3)
their
continuous
physical
appearance
(size,
contour
length,
density,
convex
hull)
randomly
changing.
Chicks
spontaneously
tell
apart
the
on
basis
number
elements.
Upon
presentation
fixed
changing
also
showed
expression
early
gene
c-fos
in
visual
Wulst,
hippocampal
formation,
intermediate
medial
mesopallium,
and
caudal
part
nidopallium
caudolaterale.
The
results
support
hypothesis
that
ability
to
discriminate
quantities
does
not
require
any
specific
instructive
experience.
Evidence
for
innateness
numerical
cognition
have
implications
both
neurobiology
philosophy
mathematics.
bioRxiv (Cold Spring Harbor Laboratory),
Journal Year:
2024,
Volume and Issue:
unknown
Published: April 29, 2024
ABSTRACT
The
ability
to
conceptualize
numerical
quantities
is
an
essential
human
trait.
According
the
“Triple
Code
Model”
(TCM)
in
cognition,
distinct
neural
substrates
encode
processing
of
visual,
auditory,
and
nonsymbolic
representations.
While
our
contemporary
understanding
number
cognition
has
benefited
greatly
from
advances
clinical
imaging,
limited
studies
have
investigated
intracranial
electrophysiological
correlates
processing.
In
this
study,
13
subjects
undergoing
stereotactic
electroencephalography
for
epilepsy
participated
a
recognition
task.
Drawing
upon
postulates
TCM,
we
presented
with
stimuli
varying
representation
type
(symbolic
vs.
non-symbolic)
mode
delivery
(visual
auditory).
Time-frequency
spectrograms
were
dimensionally
reduced
principal
component
analysis
passed
into
linear
support
vector
machine
classification
algorithm
identify
regions
associated
perception
compared
inter-trial
periods.
Across
formats,
highest
accuracy
was
observed
bilateral
parietal
lobes.
Auditory
(spoken
beeps)
visual
(Arabic)
formats
preferentially
engaged
superior
temporal
cortices
frontoparietal
regions,
respectively.
left
cortex
found
dots.
Notably,
putamen
exhibited
robust
accuracies
response
stimuli.
Analyses
spectral
feature
maps
revealed
that
non-gamma
frequency
below
30
Hz
held
greater
than
chance
value
could
be
potentially
used
characterize
format
specific
Taken
together,
findings
obtained
recordings
provide
further
expand
on
TCM
model
cognition.
PLoS ONE,
Journal Year:
2024,
Volume and Issue:
19(12), P. e0313155 - e0313155
Published: Dec. 3, 2024
The
ability
to
conceptualize
numerical
quantities
is
an
essential
human
trait.
According
the
“Triple
Code
Model”
in
cognition,
distinct
neural
substrates
encode
processing
of
visual,
auditory,
and
non-symbolic
representations.
While
our
contemporary
understanding
number
cognition
has
benefited
greatly
from
advances
clinical
imaging,
limited
studies
have
investigated
intracranial
electrophysiological
correlates
processing.
In
this
study,
13
subjects
undergoing
stereotactic
electroencephalography
for
epilepsy
participated
a
recognition
task.
Drawing
upon
postulates
Triple
Model,
we
presented
with
stimuli
varying
representation
type
(symbolic
vs.
non-symbolic)
mode
delivery
(visual
auditory).
Time-frequency
spectrograms
were
dimensionally
reduced
principal
component
analysis
passed
into
linear
support
vector
machine
classification
algorithm
identify
regions
associated
perception
compared
inter-trial
periods.
Across
formats,
highest
accuracy
was
observed
bilateral
parietal
lobes.
Auditory
(spoken
beeps)
visual
(Arabic)
formats
preferentially
engaged
superior
temporal
cortices
frontoparietal
regions,
respectively.
left
cortex
found
dots.
Notably,
putamen
exhibited
robust
accuracies
response
stimuli.
Analyses
spectral
feature
maps
revealed
that
non-gamma
frequency,
below
30
Hz,
had
greater-than-chance
value
could
be
potentially
used
characterize
format
specific
Taken
together,
findings
obtained
recordings
provide
further
expand
on
Model
cognition.
Scientific Reports,
Journal Year:
2024,
Volume and Issue:
14(1)
Published: March 28, 2024
Abstract
Arithmetic
operations
are
complex
mental
processes
rooted
in
the
abstract
concept
of
numerosity.
Despite
significance,
neural
architecture
responsible
for
these
has
remained
largely
uncharted.
In
this
study,
we
explored
presence
specific
neuronal
activity
dorsal
premotor
cortex
monkey
dedicated
to
numerical
addition
and
subtraction.
Our
findings
reveal
that
many
activities
undergo
a
transformation,
shifting
their
coding
from
arithmetic
motor
representations.
These
representations
include
information
about
which
hand
use
number
steps
involved
action.
We
consistently
observed
cells
related
right-hand
encoded
addition,
while
those
linked
left-hand
subtraction,
suggesting
commands
intertwining
with
each
other.
Furthermore,
used
multivariate
decoding
technique
predict
monkey’s
behaviour
based
on
arithmetic-related
cells.
The
classifier
trained
discern
operations,
including
not
only
predicted
decisions
but
also
subsequent
actions
right
left-hand.
imply
cognitive
extension
cortex’s
function,
where
inherent
systems
repurposed
facilitate
operations.