Embryogenesis
is
a
multiscale
process
during
which
developmental
symmetry
breaking
transitions
give
rise
to
complex
multicellular
organisms.
Recent
advances
in
high-resolution
live-cell
microscopy
provide
unprecedented
insights
into
the
collective
cell
dynamics
at
various
stages
of
embryonic
development.
This
rapid
experimental
progress
poses
theoretical
challenge
translating
high-dimensional
imaging
data
predictive
low-dimensional
models
that
capture
essential
ordering
principles
governing
migration
geometries.
Here,
we
combine
mode
decomposition
ideas
have
proved
successful
condensed
matter
physics
and
turbulence
theory
with
recent
sparse
dynamical
systems
inference
realize
computational
framework
for
learning
quantitative
continuum
from
single-cell
data.
Considering
pan-embryo
early
gastrulation
zebrafish
as
widely
studied
example,
show
how
trajectory
on
curved
surface
can
be
coarse-grained
compressed
suitable
harmonic
basis
functions.
The
resulting
representation
enables
compact
characterization
direct
an
interpretable
hydrodynamic
model,
reveals
similarities
between
active
Brownian
particle
surfaces.
Due
its
generic
conceptual
foundation,
expect
mode-based
model
help
advance
biophysical
understanding
wide
range
structure
formation
processes.
The Journal of Chemical Physics,
Journal Year:
2025,
Volume and Issue:
162(13)
Published: April 1, 2025
Being
intrinsically
nonequilibrium,
active
materials
can
potentially
perform
functions
that
would
be
thermodynamically
forbidden
in
passive
materials.
However,
systems
have
diverse
local
attractors
correspond
to
distinct
dynamical
states,
many
of
which
exhibit
chaotic
turbulent-like
dynamics
and
thus
cannot
work
or
useful
functions.
Designing
such
a
system
choose
specific
state
is
formidable
challenge.
Motivated
by
recent
advances
enabling
optogenetic
control
experimental
materials,
we
describe
an
optimal
theory
framework
identifies
spatiotemporal
sequence
light-generated
activity
drives
nematic
toward
prescribed
steady
state.
Active
nematics
are
unstable
spontaneous
defect
proliferation
streaming
the
absence
control.
We
demonstrate
compute
fields
redirect
into
variety
alternative
programs
This
includes
dynamically
reconfiguring
between
selecting
stabilizing
emergent
behaviors
do
not
attractors,
hence
uncontrolled
system.
Our
results
provide
roadmap
leverage
optical
methods
rationally
design
structure,
dynamics,
function
wide
Physical Review Letters,
Journal Year:
2024,
Volume and Issue:
133(10)
Published: Sept. 3, 2024
We
present
a
data-driven
pipeline
for
model
building
that
combines
interpretable
machine
learning,
hydrodynamic
theories,
and
microscopic
models.
The
goal
is
to
uncover
the
underlying
processes
governing
nonlinear
dynamics
experiments.
exemplify
our
method
with
data
from
microfluidic
experiments
where
crystals
of
streaming
droplets
support
propagation
waves
absent
in
passive
crystals.
By
combining
physics-inspired
neural
networks,
known
as
operators,
symbolic
regression
tools,
we
infer
solution,
well
mathematical
form,
dynamical
system
accurately
models
experimental
data.
Finally,
interpret
this
continuum
fundamental
physics
principles.
Informed
by
coarse
grain
interacting
discover
nonreciprocal
interactions
stabilize
promote
wave
propagation.
Physical Review Research,
Journal Year:
2024,
Volume and Issue:
6(4)
Published: Oct. 23, 2024
Despite
rapid
progress
in
data
acquisition
techniques,
many
complex
physical,
chemical,
and
biological
systems
remain
only
partially
observable,
thus
posing
the
challenge
to
identify
valid
theoretical
models
estimate
their
parameters
from
an
incomplete
set
of
experimentally
accessible
time
series.
Here,
we
combine
sensitivity
methods
ranked-choice
model
selection
construct
automated
hidden
dynamics
inference
framework
that
can
discover
predictive
nonlinear
dynamical
for
both
observable
latent
variables
noise-corrupted
oscillatory
chaotic
systems.
After
validating
prototypical
FitzHugh-Nagumo
oscillations,
demonstrate
its
applicability
experimental
squid
neuron
activity
measurements
Belousov-Zhabotinsky
reactions,
as
well
Lorenz
system
regime.
Published
by
American
Physical
Society
2024
Embryogenesis
is
a
multiscale
process
during
which
developmental
symmetry
breaking
transitions
give
rise
to
complex
multicellular
organisms.
Recent
advances
in
high-resolution
live-cell
microscopy
provide
unprecedented
insights
into
the
collective
cell
dynamics
at
various
stages
of
embryonic
development.
This
rapid
experimental
progress
poses
theoretical
challenge
translating
high-dimensional
imaging
data
predictive
low-dimensional
models
that
capture
essential
ordering
principles
governing
migration
geometries.
Here,
we
combine
mode
decomposition
ideas
have
proved
successful
condensed
matter
physics
and
turbulence
theory
with
recent
sparse
dynamical
systems
inference
realize
computational
framework
for
learning
quantitative
continuum
from
single-cell
data.
Considering
pan-embryo
early
gastrulation
zebrafish
as
widely
studied
example,
show
how
trajectory
on
curved
surface
can
be
coarse-grained
compressed
suitable
harmonic
basis
functions.
The
resulting
representation
enables
compact
characterization
direct
an
interpretable
hydrodynamic
model,
reveals
similarities
between
active
Brownian
particle
surfaces.
Due
its
generic
conceptual
foundation,
expect
mode-based
model
help
advance
biophysical
understanding
wide
range
structure
formation
processes.