Proceedings of the National Academy of Sciences,
Journal Year:
2020,
Volume and Issue:
117(10), P. 5113 - 5124
Published: Feb. 25, 2020
Self-organized
pattern
behavior
is
ubiquitous
throughout
nature,
from
fish
schooling
to
collective
cell
dynamics
during
organism
development.
Qualitatively
these
patterns
display
impressive
consistency,
yet
variability
inevitably
exists
within
pattern-forming
systems
on
both
microscopic
and
macroscopic
scales.
Quantifying
measuring
features
can
inform
the
underlying
agent
interactions
allow
for
predictive
analyses.
Nevertheless,
current
methods
analyzing
that
arise
only
capture
features,
or
rely
either
manual
inspection
smoothing
algorithms
lose
agent-based
nature
of
data.
Here
we
introduce
based
topological
data
analysis
interpretable
machine
learning
quantifying
agent-level
global
attributes
a
large
scale.
Because
zebrafish
model
skin
formation,
focus
specifically
its
as
means
illustrating
our
approach.
Using
recent
model,
simulate
thousands
wild-type
mutant
apply
methodology
better
understand
in
zebrafish.
Our
able
quantify
differential
impact
stochasticity
patterns,
use
predict
stripe
spot
statistics
function
varying
cellular
communication.
work
provides
new
approach
automatically
biological
so
now
answer
critical
questions
formation
at
much
larger
PLoS Biology,
Journal Year:
2020,
Volume and Issue:
18(11), P. e3000979 - e3000979
Published: Nov. 30, 2020
The
vast
net
of
fibres
within
and
underneath
the
cortex
is
optimised
to
support
convergence
different
levels
brain
organisation.
Here,
we
propose
a
novel
coordinate
system
human
based
on
an
advanced
model
its
connectivity.
Our
approach
inspired
by
seminal,
but
so
far
largely
neglected
models
cortico-cortical
wiring
established
postmortem
anatomical
studies
capitalises
cutting-edge
in
vivo
neuroimaging
machine
learning.
new
expands
currently
prevailing
diffusion
magnetic
resonance
imaging
(MRI)
tractography
incorporation
additional
features
cortical
microstructure
proximity.
Studying
several
datasets
parcellation
schemes,
could
show
that
our
robustly
recapitulates
sensory-limbic
anterior-posterior
dimensions
A
series
validation
experiments
showed
space
reflects
microcircuit
(including
pyramidal
neuron
depth
glial
expression)
allowed
for
competitive
simulations
functional
connectivity
dynamics
resting-state
(rs-fMRI)
intracranial
electroencephalography
(EEG)
coherence.
results
advance
understanding
how
cell-specific
neurobiological
gradients
produce
hierarchical
scheme
concordant
with
increasing
sophistication
evaluations
demonstrate
bridges
across
scales
neural
organisation
can
be
easily
translated
single
individuals.
Communications Physics,
Journal Year:
2021,
Volume and Issue:
4(1)
Published: Dec. 20, 2021
Abstract
A
cycle
is
the
simplest
structure
that
brings
redundant
paths
in
network
connectivity
and
feedback
effects
dynamics.
An
in-depth
understanding
of
which
cycles
are
important
what
role
they
play
on
dynamics,
however,
still
lacking.
In
this
paper,
we
define
number
matrix,
a
matrix
enclosing
information
about
network,
ratio,
an
index
quantifies
node
importance.
Experiments
real
networks
suggest
ratio
contains
rich
addition
to
well-known
benchmark
indices.
For
example,
rankings
by
largely
different
from
degree,
H-index,
coreness,
very
similar
Numerical
experiments
identifying
vital
nodes
for
synchronization
maximizing
early
reach
spreading
show
performs
overall
better
than
other
benchmarks.
Finally,
highlight
significant
difference
between
distribution
shorter
model
networks.
We
believe
our
analyses
may
yield
insights,
metrics,
models,
algorithms
science.
Proceedings of the National Academy of Sciences,
Journal Year:
2020,
Volume and Issue:
117(10), P. 5113 - 5124
Published: Feb. 25, 2020
Self-organized
pattern
behavior
is
ubiquitous
throughout
nature,
from
fish
schooling
to
collective
cell
dynamics
during
organism
development.
Qualitatively
these
patterns
display
impressive
consistency,
yet
variability
inevitably
exists
within
pattern-forming
systems
on
both
microscopic
and
macroscopic
scales.
Quantifying
measuring
features
can
inform
the
underlying
agent
interactions
allow
for
predictive
analyses.
Nevertheless,
current
methods
analyzing
that
arise
only
capture
features,
or
rely
either
manual
inspection
smoothing
algorithms
lose
agent-based
nature
of
data.
Here
we
introduce
based
topological
data
analysis
interpretable
machine
learning
quantifying
agent-level
global
attributes
a
large
scale.
Because
zebrafish
model
skin
formation,
focus
specifically
its
as
means
illustrating
our
approach.
Using
recent
model,
simulate
thousands
wild-type
mutant
apply
methodology
better
understand
in
zebrafish.
Our
able
quantify
differential
impact
stochasticity
patterns,
use
predict
stripe
spot
statistics
function
varying
cellular
communication.
work
provides
new
approach
automatically
biological
so
now
answer
critical
questions
formation
at
much
larger