Soft Matter,
Journal Year:
2023,
Volume and Issue:
19(5), P. 858 - 881
Published: Jan. 1, 2023
Geometric
frustration
offers
a
pathway
to
soft
matter
self-assembly
with
controllable
finite
sizes.
While
the
understanding
of
in
assembly
derives
almost
exclusively
from
continuum
elastic
descriptions,
current
challenge
is
understand
connection
between
microscopic
physical
properties
misfitting
"building
blocks"
and
emergent
behavior
at
mesoscale.
We
present
analyze
particle-based
description
what
arguably
best
studied
example
for
frustrated
assembly,
negative-curvature
ribbon
observed
both
assemblies
chiral
surfactants
shape-frustrated
nanoparticles.
Based
on
our
particle
model,
known
as
saddle
wedge
monomers,
we
numerically
test
shape
interactions
subunits
supra-particle
scale,
specifically
focussing
propagation
relaxation
inter-particle
strains,
role
extrinsic
ribbons
equilibrium
regime
width
selection.
Beyond
intuitive
misfit,
show
that
self-limitation
critically
dependent
range
cohesive
interactions,
larger
size
requiring
increasing
short-range
interparticle
forces.
Additionally,
demonstrate
non-linearities
arising
discrete
alter
self-limiting
due
strain-softening
shape-flattened
partial
yielding
highly
strained
bonds,
which
turn
may
give
rise
states
hierarchical,
multidomain
assembly.
Tracing
regimes
frustration-limited
specific
features
shapes
provides
necessary
guidance
translating
theory
size-programmable
into
design
intentionally-frustrated
colloidal
particles.
Proceedings of the National Academy of Sciences,
Journal Year:
2024,
Volume and Issue:
121(27)
Published: June 24, 2024
Direct
design
of
complex
functional
materials
would
revolutionize
technologies
ranging
from
printable
organs
to
novel
clean
energy
devices.
However,
even
incremental
steps
toward
designing
have
proven
challenging.
If
the
material
is
constructed
highly
components,
space
properties
rapidly
becomes
too
computationally
expensive
search.
On
other
hand,
very
simple
components
such
as
uniform
spherical
particles
are
not
powerful
enough
capture
rich
behavior.
Here,
we
introduce
a
differentiable
model
with
that
yet
properties:
rigid
bodies
composed
directional
interactions
(patchy
particles).
We
showcase
method
self-assembly
designs
open
lattices
self-limiting
clusters,
all
which
notoriously
challenging
goals
achieve
using
purely
isotropic
particles.
By
directly
optimizing
over
location
and
interaction
patches
on
patchy
gradient
descent,
dramatically
reduce
computation
time
for
finding
optimal
building
blocks.
Proceedings of the National Academy of Sciences,
Journal Year:
2024,
Volume and Issue:
121(18)
Published: April 26, 2024
We
propose
and
investigate
an
extension
of
the
Caspar-Klug
symmetry
principles
for
viral
capsid
assembly
to
programmable
size-controlled
triply
periodic
polyhedra,
discrete
variants
Primitive,
Diamond,
Gyroid
cubic
minimal
surfaces.
Inspired
by
a
recent
class
DNA
origami
colloids,
we
demonstrate
that
economy
design
in
these
crystalline
assemblies-in
terms
growth
number
distinct
particle
species
required
with
increased
size-scale
(e.g.,
periodicity)-is
comparable
shells.
further
test
role
geometric
specificity
assemblies
via
dynamical
simulations,
which
show
conditions
simultaneously
efficient
high-fidelity
require
intermediate
degree
flexibility
local
angles
lengths
programmed
assembly.
Off-target
misassembly
occurs
incorporation
variant
disclination
defects,
generalized
case
hyperbolic
crystals.
The
possibility
topological
defects
is
direct
consequence
very
same
underlie
economical
design,
exposing
basic
tradeoff
between
fidelity
programmable,
size
controlled
Science Advances,
Journal Year:
2024,
Volume and Issue:
10(27)
Published: July 3, 2024
Programmable
self-assembly
has
seen
an
explosion
in
the
diversity
of
synthetic
crystalline
materials,
but
developing
strategies
that
target
"self-limiting"
assemblies
remained
a
challenge.
Among
these,
self-closing
structures,
which
local
curvature
defines
finite
global
size,
are
prone
to
polymorphism
due
thermal
bending
fluctuations,
problem
worsens
with
increasing
size.
Here,
we
show
assembly
complexity
can
be
used
eliminate
this
source
tubules.
Using
many
distinct
components,
prune
density
off-target
geometries,
selectivity
tubule
width
and
helicity
nearly
100%.
We
further
by
reducing
design
constraints
either
pitch
or
alone,
fewer
components
needed
reach
complete
selectivity.
Combining
experiments
theory,
reveal
economical
limit,
determines
minimum
number
required
create
arbitrary
sizes
full
Nature Communications,
Journal Year:
2021,
Volume and Issue:
12(1)
Published: Dec. 13, 2021
In
active
matter
systems,
deformable
boundaries
provide
a
mechanism
to
organize
internal
stresses.
To
study
minimal
model
of
such
system,
we
perform
particle-based
simulations
an
elastic
vesicle
containing
collection
polar
filaments.
The
interplay
between
the
stress
organization
due
interparticle
interactions
and
that
deformability
confinement
leads
variety
filament
spatiotemporal
organizations
have
not
been
observed
in
bulk
systems
or
under
rigid
confinement,
including
highly-aligned
rings
caps.
turn,
these
assemblies
drive
dramatic
tunable
transformations
shape
its
dynamics.
We
present
simple
scaling
models
reveal
mechanisms
underlying
emergent
behaviors
yield
design
principles
for
engineering
materials
with
targeted
ACS Nano,
Journal Year:
2021,
Volume and Issue:
15(3), P. 4197 - 4212
Published: March 8, 2021
This
article
describes
a
theoretical
and
computational
study
of
the
dynamical
assembly
protein
shell
around
complex
consisting
many
cargo
molecules
long,
flexible
scaffold
molecules.
Our
is
motivated
by
bacterial
microcompartments,
which
are
proteinaceous
organelles
that
assemble
condensed
droplet
enzymes
reactants.
As
in
examples
cytoplasmic
liquid–liquid
phase
separation,
condensation
microcompartment
interior
driven
proteins
have
weak
multivalent
interactions
with
cargo.
results
predict
size,
amount
encapsulated
cargo,
pathways
depend
sensitively
on
properties
scaffold,
including
its
length
valency
scaffold–cargo
interactions.
Moreover,
ability
self-assembling
shells
to
change
their
size
accommodate
different
lengths
depends
crucially
whether
spontaneous
curvature
radius
smaller
or
larger
than
characteristic
elastic
scale
shell.
Beyond
natural
these
important
implications
for
synthetic
biology
efforts
target
alternative
encapsulation
microcompartments
viral
shells.
More
broadly,
elucidate
how
cells
exploit
coupling
between
self-assembly
separation
organize
interiors.
ACS Nano,
Journal Year:
2022,
Volume and Issue:
16(1), P. 317 - 327
Published: Jan. 12, 2022
Simple
RNA
viruses
self-assemble
spontaneously
and
encapsulate
their
genome
into
a
shell
called
the
capsid.
This
process
is
mainly
driven
by
attractive
electrostatics
interaction
between
positive
charges
on
capsid
proteins
negative
genome.
Despite
its
importance
many
decades
of
intense
research,
how
virus
selects
packages
native
inside
crowded
environment
host
cell
cytoplasm
in
presence
an
abundance
nonviral
other
anionic
polymers
has
remained
mystery.
In
this
paper,
we
perform
series
simulations
to
monitor
growth
viral
shells
find
mechanism
which
cargo–coat
protein
interactions
can
impact
structure
stability
shells.
We
show
that
coat
subunits
assemble
around
globular
nucleic
acid
core
forming
nonicosahedral
cages,
have
been
recently
observed
assembly
experiments
involving
small
pieces
RNA.
resulting
cages
are
strained
easily
be
split
fragments
along
stress
lines.
suggests
such
metastable
intermediates
could
reassembled
stable
icosahedral
if
larger
wild-type
becomes
available,
despite
myriad
RNAs.
Angewandte Chemie International Edition,
Journal Year:
2022,
Volume and Issue:
61(17)
Published: Feb. 3, 2022
Herein,
we
present
a
strategy
to
enable
maintained
emissive
behavior
in
the
self-assembled
state
by
enforcing
an
anti-cooperative
self-assembly
involving
weak
intermolecular
dye
interactions.
To
achieve
this
goal,
designed
conformationally
flexible
monomer
unit
1
with
central
1,3-substituted
(diphenyl)urea
hydrogen
bonding
synthon
that
is
tethered
two
BODIPY
dyes
featuring
sterically
bulky
trialkoxybenzene
substituents
at
meso-position.
The
competition
between
attractive
forces
(H-bonding
and
aromatic
interactions)
destabilizing
effects
(steric
competing
conformational
effects)
limits
assembly,
halting
supramolecular
growth
stage
of
small
oligomers.
Given
presence
dye-dye
interactions,
emission
properties
molecularly
dissolved
are
negligibly
affected
upon
aggregation.
Our
findings
contribute
broadening
scope
assemblies
controlled
polymerization.
ACS Nano,
Journal Year:
2022,
Volume and Issue:
16(6), P. 9077 - 9085
Published: May 31, 2022
We
use
computational
modeling
to
investigate
the
assembly
thermodynamics
of
a
particle-based
model
for
geometrically
frustrated
assembly,
in
which
local
packing
geometry
subunits
is
incompatible
with
uniform,
strain-free
large-scale
assembly.
The
considers
discrete
triangular
that
drive
toward
closed,
hexagonal-ordered
tubule,
but
have
geometries
locally
favor
negative
Gaussian
curvature.
dynamical
Monte
Carlo
simulations
and
enhanced
sampling
methods
compute
free
energy
landscape
corresponding
self-assembly
behavior
as
function
experimentally
accessible
parameters
control
driving
forces
magnitude
frustration.
results
determine
parameter
range
where
finite-temperature
self-limiting
occurs,
equilibrium
size
distribution
sharply
peaked
around
well-defined
finite
size.
also
identify
two
mechanisms
by
system
can
escape
frustration
assemble
unlimited
size,
particle-scale
properties
suppress
unbounded
growth.
ACS Nano,
Journal Year:
2025,
Volume and Issue:
unknown
Published: Jan. 3, 2025
Variance
in
the
properties
of
optical
mesoscopic
probes
is
often
a
limiting
factor
applications.
In
thermodynamic
limit,
smaller
probe,
larger
relative
variance.
However,
specific
viral
protein
cages
can
assemble
efficiently
outside
bounds
statistical
fluctuations
at
equilibrium
through
process
that
characterized
by
intrinsic
quality-control
and
self-limiting
capabilities.
this
paper,
an
approach
described
leverages
stoichiometric
structural
accuracy
murine
polyoma
virus
capsid
assembly
to
demonstrate
bright,
narrowly
distributed
fluorescence
intensity
from
multichromophore
particles
surpass
state-of-the-art
fluorescent
nanosphere
probes.
Charge-detection
mass
spectrometry
analysis
demonstrated
proteins
resulting
fusion
superfolding
green
(sfGFP)
coat
self-assemble
Physical Review Letters,
Journal Year:
2025,
Volume and Issue:
134(1)
Published: Jan. 3, 2025
We
explore
experimentally
how
a
conical
surface
frustrates
the
growth
of
colloidal
crystals.
Whereas
crystals
on
cylinder
can
form
perfect
commensurate
bands,
cone
tend
to
tilt
grain
boundaries
with
misorientation
angles
set
by
geometry.
However,
at
small
angles,
where
deviates
only
slightly
from
that
cylinder,
widths
limited
emergence
dislocations.
The
dislocations
allow
crystal
continue
growing
beyond
limiting
width.
relate
these
effects
gradient
in
circumference
cone,
consequence
Gaussian
curvature
localized
apex.