Frontiers in Network Physiology,
Journal Year:
2022,
Volume and Issue:
2
Published: June 1, 2022
In
this
work,
we
propose
a
dynamical
systems
perspective
on
the
modeling
of
sepsis
and
its
organ-damaging
consequences.
We
develop
functional
two-layer
network
model
for
based
upon
interaction
parenchymal
cells
immune
via
cytokines,
coevolutionary
dynamics
parenchymal,
cells,
cytokines.
By
means
simple
paradigmatic
phase
oscillators
in
system,
analyze
emergence
organ
threatening
interactions
between
dysregulated
system
parenchyma.
demonstrate
that
complex
cellular
cooperation
parenchyma
stroma
(immune
layer)
either
physiological
or
pathological
case
can
be
related
to
patterns
network.
way
explain
by
dysregulation
healthy
homeostatic
state
(frequency
synchronized)
leading
(desynchronized
multifrequency
cluster)
provide
insight
into
stabilizing
destabilizing
interplay
determining
critical
parameters.
The
coupled
(metabolism)
nonspecific
(response
innate
system)
is
represented
nodes
duplex
layer.
Cytokine
modeled
adaptive
coupling
weights
representing
(with
fast
adaptation
timescale)
(slow
timescale),
pairs
(fixed
bidirectional
coupling).
proposed
allows
description
dysfunction
recurrence
risk
plausible
pathophysiological
context.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2023,
Volume and Issue:
33(7)
Published: July 1, 2023
Adaptivity
is
a
dynamical
feature
that
omnipresent
in
nature,
socio-economics,
and
technology.
For
example,
adaptive
couplings
appear
various
real-world
systems,
such
as
the
power
grid,
social,
neural
networks,
they
form
backbone
of
closed-loop
control
strategies
machine
learning
algorithms.
In
this
article,
we
provide
an
interdisciplinary
perspective
on
systems.
We
reflect
notion
terminology
adaptivity
different
disciplines
discuss
which
role
plays
for
fields.
highlight
common
open
challenges
give
perspectives
future
research
directions,
looking
to
inspire
approaches.
Physical Review Letters,
Journal Year:
2023,
Volume and Issue:
130(6)
Published: Feb. 10, 2023
Phase
transitions
in
equilibrium
and
nonequilibrium
systems
play
a
major
role
the
natural
sciences.
In
dynamical
networks,
phase
organize
qualitative
changes
collective
behavior
of
coupled
units.
Adaptive
networks
feature
connectivity
structure
that
over
time,
coevolving
with
nodes'
state.
this
Letter,
we
show
emergence
two
distinct
first-order
finite-size
adaptive
network
heterogeneous
oscillators.
Depending
on
nature
defects
internal
frequency
distribution,
observe
either
an
abrupt
single-step
transition
to
full
synchronization
or
more
gradual
multistep
transition.
This
observation
has
striking
resemblance
nucleation.
We
develop
mean-field
approach
study
interplay
between
adaptivity
nodal
heterogeneity
describe
dynamics
multicluster
states
their
determining
character
Our
work
provides
theoretical
framework
for
studying
heterogeneity.
Physical review. E,
Journal Year:
2021,
Volume and Issue:
103(4)
Published: April 28, 2021
Power
grid
networks,
as
well
neuronal
networks
with
synaptic
plasticity,
describe
real-world
systems
of
tremendous
importance
for
our
daily
life.
The
investigation
these
seemingly
unrelated
types
dynamical
has
attracted
increasing
attention
over
the
past
decade.
In
this
paper,
we
provide
insight
into
fundamental
relation
between
two
networks.
For
this,
consider
well-established
models
based
on
phase
oscillators
and
show
their
intimate
relation.
particular,
prove
that
oscillator
inertia
can
be
viewed
a
particular
class
adaptive
This
holds
even
more
general
classes
power
include
voltage
dynamics.
As
an
immediate
consequence
relation,
discover
plethora
multicluster
states
inertia.
Moreover,
phenomenon
cascading
line
failure
in
grids
is
translated
network.
Frontiers in Network Physiology,
Journal Year:
2022,
Volume and Issue:
2
Published: March 4, 2022
Parkinson’s
disease
(PD)
is
a
multi-systemic
neurodegenerative
brain
disorder.
Motor
symptoms
of
PD
are
linked
to
the
significant
dopamine
(DA)
loss
in
substantia
nigra
pars
compacta
(SNc)
followed
by
basal
ganglia
(BG)
circuit
dysfunction.
Increasing
experimental
and
computational
evidence
indicates
that
(synaptic)
plasticity
plays
key
role
emergence
PD-related
pathological
changes
following
DA
loss.
Spike-timing-dependent
(STDP)
mediated
provides
mechanistic
model
for
synaptic
modify
connections
within
BG
according
neuronal
activity.
To
shed
light
on
how
DA-mediated
STDP
can
shape
activity
connectivity
condition,
we
reviewed
findings
addressing
modulatory
effect
as
well
other
mechanisms
discussed
their
potential
pathophysiology
related
network
dynamics
connectivity.
In
particular,
reshaping
profiles
together
with
plasticity-mediated
processes
may
abnormally
competing
pathways
BG.
The
cascade
plasticity-induced
maladaptive
or
compensatory
impair
excitation-inhibition
balance
towards
output
nuclei,
leading
activity-connectivity
patterns
PD.
Pre-clinical,
clinical
studies
here
provide
an
understanding
impact
pathophysiology,
especially
connectivity,
after
This
review
further
insights
into
abnormal
structure-function
relationship
contributing
states
Specifically,
this
intended
detailed
information
development
models
PD,
serving
testbeds
optimization
invasive
non-invasive
stimulation
techniques.
Computationally
derived
hypotheses
accelerate
therapeutic
techniques
potentially
reduce
number
animal
experiments.
Physical review. E,
Journal Year:
2022,
Volume and Issue:
105(6)
Published: June 28, 2022
This
Letter
investigates
the
transition
to
synchronization
of
oscillator
ensembles
encoded
by
simplicial
complexes
in
which
pairwise
and
higher-order
coupling
weights
alter
with
time
through
a
rate-based
adaptive
mechanism
inspired
Hebbian
learning
rule.
These
simultaneously
evolving
disparate
lead
phenomenon
that
in-phase
is
completely
obliterated;
instead,
antiphase
originated.
In
addition,
onsets
desynchronization
are
manageable
both
dyadic
triadic
rates.
The
theoretical
validation
these
numerical
assessments
delineated
thoroughly
employing
Ott-Antonsen
dimensionality
reduction.
framework
results
would
help
understand
underlying
behavior
range
real-world
systems,
such
as
brain
functions
social
systems
where
interactions
evolve
time.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(6)
Published: June 1, 2024
The
adaptation
underlying
many
realistic
processes
plays
a
pivotal
role
in
shaping
the
collective
dynamics
of
diverse
systems.
Here,
we
untangle
generic
conditions
for
synchronization
transitions
system
coupled
phase
oscillators
incorporating
adaptive
scheme
encoded
by
feedback
between
coupling
and
order
parameter
via
power-law
function
with
different
weights.
We
mathematically
argue
that,
subcritical
supercritical
correlation
scenarios,
there
exists
no
critical
fraction
converting
from
first
(second)-order
to
second
(first)-order.
In
contrast
previously
deemed,
explosive
continuous
take
place
corresponding
regions
as
long
is
nonzero,
respectively.
Nevertheless,
uncover
at
correlation,
routes
toward
depend
crucially
on
relative
particular,
unveil
that
emergence
range
interrelated
scaling
behaviors
near
criticality,
manifesting
bifurcations,
are
responsible
various
observed
transitions.
Our
work,
thus,
provides
profound
insights
understanding
dynamical
nature
transitions,
better
controlling
manipulating
networked
systems
adaptation.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2022,
Volume and Issue:
32(1)
Published: Jan. 1, 2022
We
discover
the
mechanisms
of
emergence
and
link
between
two
types
symmetry-broken
states,
unbalanced
periodic
two-cluster
states
solitary
in
coupled
excitable
systems
with
attractive
repulsive
interactions.
The
prevalent
non-locally
arrays,
whose
self-organization
is
based
on
successive
(order
preserving)
spiking
units,
derive
their
dynamical
features
from
corresponding
cluster
globally
networks.
Apart
spiking,
we
also
find
where
interplay
excitability
local
multiscale
dynamics
gives
rise
to
so-called
leap-frog
activity
patterns
an
alternating
order
units.
show
that
noise
affects
system
by
suppressing
multistability
inducing
pattern
homogenization,
transforming
into
patched
synchrony.
Chaos An Interdisciplinary Journal of Nonlinear Science,
Journal Year:
2024,
Volume and Issue:
34(1)
Published: Jan. 1, 2024
In
this
paper,
we
investigate
the
stability
of
synchronous
state
in
a
complex
network
using
master
function
technique.
We
use
extended
Hindmarsh–Rose
neuronal
model
including
time
delayed
electrical,
chemical,
and
hybrid
couplings.
find
corresponding
equation
that
describes
whole
dynamics
for
each
coupling
mode.
From
maximum
Lyapunov
exponent,
deduce
observe
electrical
coupling,
there
exists
mixing
between
stable
unstable
states.
For
good
setting
some
system
parameters,
position
size
areas
can
be
modified.
chemical
difficulties
having
area
plane.
behavior
compared
to
case
where
these
couplings
are
considered
separately.
The
obtained
results
mode
help
analyze
topologies
by
eigenvalues.
involve
full
or
partial
system.
states
observed
whereas
interactions
is
obtained.
Temporal
analysis
global
synchronization
also
done
mode,
show
when
stable,
globally
observed,
while
it
unstable,
its
nodes
not
synchronized.
