The Journal of Mathematical Neuroscience,
Год журнала:
2020,
Номер
10(1)
Опубликована: Май 27, 2020
Abstract
Many
biological
and
neural
systems
can
be
seen
as
networks
of
interacting
periodic
processes.
Importantly,
their
functionality,
i.e.,
whether
these
perform
function
or
not,
depends
on
the
emerging
collective
dynamics
network.
Synchrony
oscillations
is
one
most
prominent
examples
such
behavior
has
been
associated
both
with
dysfunction.
Understanding
how
network
structure
interactions,
well
microscopic
properties
individual
units,
shape
critical
to
find
factors
that
lead
malfunction.
However,
many
brain
consist
a
large
number
dynamical
units.
Hence,
analysis
either
relied
simplified
heuristic
models
coarse
scale,
comes
at
huge
computational
cost.
Here
we
review
recently
introduced
approaches,
known
Ott–Antonsen
Watanabe–Strogatz
reductions,
allowing
simplify
by
bridging
small
scales.
Thus,
reduced
model
equations
are
obtained
exactly
describe
for
each
subpopulation
in
oscillator
via
few
variables
only.
The
resulting
next-generation
models:
Rather
than
being
heuristic,
they
link
macroscopic
descriptions
therefore
accurately
capture
underlying
system.
At
same
time,
sufficiently
simple
analyze
without
great
effort.
In
last
decade,
reduction
methods
have
become
instrumental
understanding
interactions
emergence
synchrony.
We
this
progress
based
concrete
outline
possible
limitations.
Finally,
discuss
linking
experimental
data
guide
way
towards
development
new
treatment
example,
neurological
disease.
Frontiers in Human Neuroscience,
Год журнала:
2014,
Номер
8
Опубликована: Янв. 1, 2014
Entropy
is
a
dimensionless
quantity
that
used
for
measuring
uncertainty
about
the
state
of
system
but
it
can
also
imply
physical
qualities,
where
high
entropy
synonymous
with
disorder.
applied
here
in
context
states
consciousness
and
their
associated
neural
dynamics,
particular
focus
on
psychedelic
state.
The
considered
an
exemplar
primitive
or
primary
preceded
development
modern,
adult,
human,
normal
waking
consciousness.
Based
neuroimaging
data
psilocybin,
classic
drug,
argued
defining
feature
‘primary
states’
elevated
certain
aspects
brain
function,
such
as
repertoire
functional
connectivity
motifs
form
fragment
across
time.
It
noted
this
sense,
characteristic
systems
exhibiting
‘self-organised
criticality’,
i.e.,
property
gravitate
towards
‘critical’
point
transition
zone
between
order
disorder
which
phenomena
power-law
scaling
appear.
This
implies
suppressed
consciousness,
meaning
operates
just
below
criticality.
suppression
furnishes
constrained
quality
metacognitive
functions,
including
reality-testing
self-awareness.
proposed
entry
into
depends
collapse
normally
highly
organised
activity
within
default-mode
network
(DMN)
decoupling
DMN
medial
temporal
lobes
(which
are
significantly
coupled).
These
hypotheses
be
tested
by
examining
cognition
other
candidate
REM
sleep
early
psychosis
comparing
these
non-primary
anaesthetised
NeuroImage,
Год журнала:
2017,
Номер
180, С. 577 - 593
Опубликована: Дек. 2, 2017
The
present
review
discusses
a
well-established
method
for
characterizing
resting-state
activity
of
the
human
brain
using
multichannel
electroencephalography
(EEG).
This
involves
examination
electrical
microstates
in
brain,
which
are
defined
as
successive
short
time
periods
during
configuration
scalp
potential
field
remains
semi-stable,
suggesting
quasi-simultaneity
among
nodes
large-scale
networks.
A
few
prototypic
microstates,
occur
repetitive
sequence
across
time,
can
be
reliably
identified
participants.
Researchers
have
proposed
that
these
represent
basic
building
blocks
chain
spontaneous
conscious
mental
processes,
and
their
occurrence
temporal
dynamics
determine
quality
mentation.
Several
studies
further
demonstrated
disturbances
processes
associated
with
neurological
psychiatric
conditions
manifest
changes
specific
microstates.
Combined
EEG-fMRI
EEG
source
imaging
indicated
closely
networks
fMRI.
scale-free
properties
series
explain
why
similar
observed
at
such
different
scales.
will
provide
an
overview
available
methods
analysis,
functional
interpretations
findings
regarding
behavioral
clinical
correlates.
Frontiers in Human Neuroscience,
Год журнала:
2014,
Номер
8
Опубликована: Авг. 12, 2014
In
this
paper,
we
set
out
to
develop
a
theoretical
and
conceptual
framework
for
the
new
field
of
Radical
Embodied
Cognitive
Neuroscience.
This
should
be
able
integrate
insights
from
several
relevant
disciplines:
theory
on
embodied
cognition,
ecological
psychology,
phenomenology,
dynamical
systems
theory,
neurodynamics.
We
suggest
that
main
task
Neuroscience
is
investigate
phenomenon
skilled
intentionality
perspective
self-organization
brain-body-environment
system,
while
doing
justice
phenomenology
action.
previous
work,
have
characterized
as
organism's
tendency
toward
an
optimal
grip
multiple
affordances
simultaneously.
Affordances
are
possibilities
action
provided
by
environment.
first
part
introduce
notion
responsiveness
affordances.
Second,
use
Friston's
work
neurodynamics,
but
embed
very
minimal
version
his
Free
Energy
Principle
in
niche
animal.
Thus
amended,
principle
helpful
understanding
embeddedness
neurodynamics
within
dynamics
system
"brain-body-landscape
affordances."
Next,
show
how
can
adjusted
understand
selective
openness
environment:
interacting
action-readiness
patterns
at
timescales
contribute
final
emphasize
important
role
metastable
both
brain
adequate
affordance-responsiveness.
exemplify
our
integrative
approach
presenting
research
impact
Deep
Brain
Stimulation
affordance
OCD
patients.
Biological Psychiatry,
Год журнала:
2015,
Номер
77(12), С. 1089 - 1097
Опубликована: Май 2, 2015
Perception,
cognition,
and
social
interaction
depend
upon
coordinated
neural
activity.
This
coordination
operates
within
noisy,
overlapping,
distributed
networks
operating
at
multiple
timescales.
These
are
built
a
structural
scaffolding
with
intrinsic
neuroplasticity
that
changes
development,
aging,
disease,
personal
experience.
In
this
article,
we
begin
from
the
perspective
successful
interregional
communication
relies
transient
synchronization
between
distinct
low-frequency
(<80
Hz)
oscillations,
allowing
for
brief
windows
of
via
phase-coordinated
local
neuronal
spiking.
From
this,
construct
theoretical
framework
dynamic
network
communication,
arguing
these
reflect
balance
oscillatory
coupling
population
spiking
activity
two
levels
interact.
We
theorize
when
is
too
strong,
spike
timing
becomes
synchronous;
weak,
disorganized.
Each
results
in
specific
disruptions
to
communication.
alterations
dynamics
may
underlie
cognitive
associated
healthy
development
addition
neurological
psychiatric
disorders.
A
number
disorders—including
Parkinson's
autism,
depression,
schizophrenia,
anxiety—are
abnormalities
Although
experience
differ
biological
gray
or
white
matter,
neurotransmission,
gene
expression,
our
suggests
any
resultant
behavioral
normal
disordered
states
their
treatment
product
how
physical
processes
affect
Nonlinearity,
Год журнала:
2015,
Номер
28(3), С. R67 - R87
Опубликована: Фев. 16, 2015
A
chimera
state
is
a
spatio-temporal
pattern
in
network
of
identical
coupled
oscillators
which
synchronous
and
asynchronous
oscillation
coexist.
This
broken
symmetry,
usually
coexists
with
stable
spatially
symmetric
state,
has
intrigued
the
nonlinear
dynamics
community
since
its
discovery
early
2000s.
Recent
experiments
have
led
to
increasing
interest
origin
these
states.
Here
we
review
history
research
on
states
highlight
major
advances
understanding
their
behaviour.
In
the
human
brain,
spontaneous
activity
during
resting
state
consists
of
rapid
transitions
between
functional
network
states
over
time
but
underlying
mechanisms
are
not
understood.
We
use
connectome
based
computational
brain
modeling
to
reveal
fundamental
principles
how
generates
large-scale
observable
by
noninvasive
neuroimaging.
used
structural
and
neuroimaging
data
construct
whole-
models.
With
this
novel
approach,
we
that
operates
at
maximum
metastability,
i.e.
in
a
switching.
addition,
investigate
cortical
heterogeneity
across
areas.
Optimization
spectral
characteristics
each
local
region
revealed
dynamical
core
which
is
driving
rest
whole
brain.
Brain
modelling
goes
beyond
correlational
analysis
reveals
non-trivial
non-invasive
observations.
Our
findings
significantly
pertain
important
role
connectomics
understanding
function.