Modern Physics Letters B,
Год журнала:
2024,
Номер
unknown
Опубликована: Сен. 18, 2024
Involvement
of
memristive
term
and
additive
physical
variables
including
magnetic
flux
charge
can
enhance
the
description
biophysical
neurons.
Neural
circuits
coupled
with
memristors
be
built
tamed
to
mimic
intrinsic
characteristics
dynamical
properties
biological
neurons,
these
oscillator
models
are
effective
in
predicting
mode
transition
neural
activities
self-organization
collective
electric
behaviors
networks.
Any
proposal
map
neurons
requires
reliable
description.
For
example,
energy
definition
self-adaptive
working
mechanism
crucial
verify
reliability
maps.
A
capacitive
variable
is
useful
describe
membrane
potential,
while
complexity
ion
channels
careful
evaluation
by
using
inductive
relative
electromagnetic
field.
In
this
work,
a
charge-controlled
memristor
connected
an
inductor
series
for
building
hybrid
channel,
then
capacitor
nonlinear
resistor
combined
couple
channel.
As
result,
simple
circuit
designed
discern
inner
effect
field
synchronously.
The
function
defined
verified
theoretical
proof.
Furthermore,
linear
transformation
applied
convert
neuron
into
exact
description,
which
its
dynamics
will
controlled
adaptive
law
when
beyond
threshold.
Additive
noise
imposed
induce
coherence
resonance,
detected
statistical
analysis
average
value
Hamilton
during
changes
intensity.
This
scheme
provides
guidance
maps
regulation
explained
from
aspects.
Mathematical Biosciences & Engineering,
Год журнала:
2023,
Номер
20(10), С. 17849 - 17865
Опубликована: Янв. 1, 2023
The
significance
of
discrete
neural
models
lies
in
their
mathematical
simplicity
and
computational
ease.
This
research
focuses
on
enhancing
a
map
model
by
incorporating
hyperbolic
tangent-based
memristor.
study
extensively
explores
the
impact
magnetic
induction
strength
model's
dynamics,
analyzing
bifurcation
diagrams
presence
multistability.
Moreover,
investigation
extends
to
collective
behavior
coupled
memristive
maps
with
electrical,
chemical,
connections.
synchronization
these
is
examined,
revealing
that
chemical
coupling
exhibits
broader
area.
Additionally,
diverse
chimera
states
cluster
synchronized
are
identified
discussed.
We
construct
hypergraphs
to
analyze
functional
brain
connectivity,
leveraging
event-related
coherence
in
magnetoencephalography
(MEG)
data
during
the
visual
perception
of
a
flickering
image.
Principal
network
characteristics
are
computed
for
delta,
theta,
alpha,
beta,
and
gamma
frequency
ranges.
Employing
measure,
statistical
estimate
correlation
between
signal
pairs
across
frequencies,
we
generate
edge
time
series,
depicting
how
an
evolves
over
time.
This
forms
basis
constructing
edge-to-edge
connectivity
network.
Emphasizing
hyperedges
as
connected
components
absolute-valued
network,
focus
on
exploring
these
context
individual
variability.
Our
coherence-based
hypergraph
construction
specifically
addresses
among
four
lobes:
frontal,
parietal,
temporal,
occipital.
approach
enables
nuanced
exploration
differences
within
diverse
bands,
providing
insights
into
dynamical
nature
tasks.
The
results
furnish
compelling
evidence
supporting
hypothesis
cortico-cortical
interactions
occurring
varying
scales.
derived
illustrates
robust
activation
patterns
specific
regions,
indicative
their
engagement
cognitive
contexts
different
bands.
findings
suggest
potential
integration
or
multifunctionality
examined
lobes,
contributing
valuable
perspectives
our
understanding
dynamics
perception.
Applied Sciences,
Год журнала:
2024,
Номер
14(6), С. 2343 - 2343
Опубликована: Март 11, 2024
We
construct
hypergraphs
to
analyze
functional
brain
connectivity,
leveraging
event-related
coherence
in
magnetoencephalography
(MEG)
data
during
the
visual
perception
of
a
flickering
image.
Principal
network
characteristics
are
computed
for
delta,
theta,
alpha,
beta,
and
gamma
frequency
ranges.
Employing
measure,
statistical
estimate
correlation
between
signal
pairs
across
frequencies,
we
generate
an
edge
time
series,
depicting
how
evolves
over
time.
This
forms
basis
constructing
edge-to-edge
connectivity
network.
emphasize
hyperedges
as
connected
components
absolute-valued
Our
coherence-based
hypergraph
construction
specifically
addresses
among
four
lobes
both
hemispheres:
frontal,
parietal,
temporal,
occipital.
approach
enables
nuanced
exploration
individual
differences
within
diverse
bands,
providing
insights
into
dynamic
nature
tasks.
The
results
furnish
compelling
evidence
supporting
hypothesis
cortico–cortical
interactions
occurring
varying
scales.
derived
illustrates
robust
activation
patterns
specific
regions,
indicative
their
engagement
cognitive
contexts
different
bands.
findings
suggest
potential
integration
or
multifunctionality
examined
lobes,
contributing
valuable
perspectives
our
understanding
dynamics
perception.
Modern Physics Letters B,
Год журнала:
2024,
Номер
unknown
Опубликована: Сен. 18, 2024
Involvement
of
memristive
term
and
additive
physical
variables
including
magnetic
flux
charge
can
enhance
the
description
biophysical
neurons.
Neural
circuits
coupled
with
memristors
be
built
tamed
to
mimic
intrinsic
characteristics
dynamical
properties
biological
neurons,
these
oscillator
models
are
effective
in
predicting
mode
transition
neural
activities
self-organization
collective
electric
behaviors
networks.
Any
proposal
map
neurons
requires
reliable
description.
For
example,
energy
definition
self-adaptive
working
mechanism
crucial
verify
reliability
maps.
A
capacitive
variable
is
useful
describe
membrane
potential,
while
complexity
ion
channels
careful
evaluation
by
using
inductive
relative
electromagnetic
field.
In
this
work,
a
charge-controlled
memristor
connected
an
inductor
series
for
building
hybrid
channel,
then
capacitor
nonlinear
resistor
combined
couple
channel.
As
result,
simple
circuit
designed
discern
inner
effect
field
synchronously.
The
function
defined
verified
theoretical
proof.
Furthermore,
linear
transformation
applied
convert
neuron
into
exact
description,
which
its
dynamics
will
controlled
adaptive
law
when
beyond
threshold.
Additive
noise
imposed
induce
coherence
resonance,
detected
statistical
analysis
average
value
Hamilton
during
changes
intensity.
This
scheme
provides
guidance
maps
regulation
explained
from
aspects.
