Stiffening due to internal stress generation is of paramount importance in living systems and is the foundation for many biomechanical processes. For example, cells stiffen their surrounding matrix by pulling on collagen and fibrin fibers. At the subcellular level, molecular motors prompt fluidization and actively stiffen the cytoskeleton by sliding polar actin filaments in opposite directions. Here, we demonstrate that chemical cross-linking of a fibrous matrix of synthetic semiflexible polymers with thermoresponsive poly( N-isopropylacrylamide) (PNIPAM) produces internal stress by induction of a coil-to-globule transition upon crossing the lower critical solution temperature of PNIPAM, resulting in a macroscopic stiffening response that spans more than 3 orders of magnitude in modulus. The forces generated through collapsing PNIPAM are sufficient to drive a fluid material into a stiff gel within a few seconds. Moreover, rigidified networks dramatically stiffen in response to applied shear stress featuring power law rheology with exponents that match those of reconstituted collagen and actomyosin networks prestressed by molecular motors. This concept holds potential for the rational design of synthetic materials that are fluid at room temperature and rapidly rigidify at body temperature to form hydrogels mechanically and structurally akin to cells and tissues.
Stiffening due to internal stress generation is of paramount importance in living systems and is the foundation for many biomechanical processes. For example, cells stiffen their surrounding matrix by pulling on collagen and fibrin fibers. At the subcellular level, molecular motors prompt fluidization and actively stiffen the cytoskeleton by sliding polar actin filaments in opposite directions. Here, we demonstrate that chemical cross-linking of a fibrous matrix of synthetic semiflexible polymers with thermoresponsive poly( N-isopropylacrylamide) (PNIPAM) produces internal stress by induction of a coil-to-globule transition upon crossing the lower critical solution temperature of PNIPAM, resulting in a macroscopic stiffening response that spans more than 3 orders of magnitude in modulus. The forces generated through collapsing PNIPAM are sufficient to drive a fluid material into a stiff gel within a few seconds. Moreover, rigidified networks dramatically stiffen in response to applied shear stress featuring power law rheology with exponents that match those of reconstituted collagen and actomyosin networks prestressed by molecular motors. This concept holds potential for the rational design of synthetic materials that are fluid at room temperature and rapidly rigidify at body temperature to form hydrogels mechanically and structurally akin to cells and tissues.
Filamentous biomaterials,
such as the actin cytoskeleton, collagen-based
extracellular matrix, and fibrin blood clots, are three-dimensional,
interlinked meshworks of protein biopolymers. They are the scaffold
of life, shaping and supporting our cells and tissues. In order to
do so in a robust and adaptive manner, their architecture (the spatial
arrangement of and connections between fibers) is highly dynamic,
both in terms of constituent polymers, which grow, shrink, and reorient,[1−3] and in terms of connections, which relocate, dissociate, and (re)bind.[4−6] Concomitantly, the mechanical response of a given architecture may
be actively amplified; previous work in cells, tissues, and reconstituted
protein meshworks has demonstrated the capacity of external and internal
stresses and strains to change the stiffness of a material by orders
of magnitude.[4,7,8] One
such active control modality consists of the exertion of small and
highly localized forces on a polymer network. At subcellular scales,
these forces may be imparted by molecular motors;[9−13] in the extracellular matrix they arise from contractile
cells (platelets and smooth muscle cells (SMCs)).[14−16] This microscopic
pinching is at the root of a number of highly functional biomechanical
behaviors: motors may prompt flow and fluidization of the cellular
cytoskeleton to permit cell motility;[10,13,17,18] SMC-mediated forces
exert significant prestress on the aortic wall, which strengthens
it by prompting remodeling and deposition of additional collagen.[16,19] Platelet-mediated forces prompt the collapse and contractility of
blood clots. Clearly, such responsive functionality allows biopolymeric
materials to robustly perform and respond at different length scales
and to a variety of external cues.Inspired by these biological
regulatory mechanisms, recent work
of Rowan and co-workers[20] successfully
exploited the potential of lower critical solution temperature (LCST)
polymers to augment the mechanical response of composite materials
upon induction of coil–globule collapse. In their work, stiff
cellulose nanocrystals (CNCs) were grafted with thermoresponsive poly(oligo(ethylene
glycol)monomethyl ether (meth)acrylates) (POEG(M)A) and embedded within
a soft poly(vinyl acetate) (PVAc) rubbery matrix. Gels made from these
materials reversibly change modulus with heating and cooling. Stiffening
arises from the formation of a percolated network of stiff CNC fibers
brought into physical contact via the collapse of the thermoresponsive
element, and softening to recover the original modulus is brought
about by rehydration of the collapsed globules below their LCST point.In this work, we combine the potential of polymers that exhibit
LCST behavior to induce local contractile forces with the strain-stiffening
response intrinsic to meshworks of semiflexible polymers.[21] We demonstrate that the induction of coil–globule
collapse of poly(N-isopropylacrylamide) (PNIPAM)
chains that cross-link semiflexible fibers of poly(diacetylene) bis-urea
bolaamphiphiles (PDA) (Figure ) dramatically changes the linear mechanical response, rigidifying
a previously fluid system to produce a robust and elastic material.
Moreover, we show that in the nonlinear deformation regime universal
strain-stiffening occurs, with a power-law stiffening exponent that
matches that of collagen networks. This process happens at a constant
overall volume. With this work, we engineer a strain-stiffening soft
material that shows a temperature-controlled rigidification induced
by local strain.
Figure 1
Molecules and methods used to construct biomimetic active
polymer
networks. (A) Molecular structure of the fiber-forming diacetylene
bis-urea bolaamphiphile DA, its azide-functionalized analogue DA-N3, and the linear, thermoresponsive PNIPAM-AC linker. (B) Hierarchical
self-assembly through intermolecular H-bonding and hydrophobic interactions
of DA-N3 and DA followed by topochemical polymerization
of the assembled diacetylene groups into PDA fibers. Covalent fixation
results in strongly colored solutions due to the formation of a π-conjugated
ene-yne covalent framework. The fiber cross-section consists of 9
or 10 ribbons of aggregated molecules. Chemical cross-linking with
linear PNIPAM-AC via CuAAC reaction into strain-stiffening networks
with triazole cross-links. (C) Internal stress generation within the
fibrous PDA matrix mediated by PNIPAM-AC coil-to-globule transition
above its LCST. (D) Cryo-electron micrograph (cryo-EM) of PDA fibers
in water (1 mM). Scale bar: 200 nm.
Molecules and methods used to construct biomimetic active
polymer
networks. (A) Molecular structure of the fiber-forming diacetylene
bis-urea bolaamphiphile DA, its azide-functionalized analogue DA-N3, and the linear, thermoresponsive PNIPAM-AC linker. (B) Hierarchical
self-assembly through intermolecular H-bonding and hydrophobic interactions
of DA-N3 and DA followed by topochemical polymerization
of the assembled diacetylene groups into PDA fibers. Covalent fixation
results in strongly colored solutions due to the formation of a π-conjugated
ene-yne covalent framework. The fiber cross-section consists of 9
or 10 ribbons of aggregated molecules. Chemical cross-linking with
linear PNIPAM-AC via CuAAC reaction into strain-stiffening networks
with triazole cross-links. (C) Internal stress generation within the
fibrous PDA matrix mediated by PNIPAM-AC coil-to-globule transition
above its LCST. (D) Cryo-electron micrograph (cryo-EM) of PDA fibers
in water (1 mM). Scale bar: 200 nm.
Results and Discussion
In previous work, we introduced diacetylene
bisurea bolaamphiphiles
(DA) (Figure A) as
a versatile motif to construct strain-stiffening hydrogels.[22] In water, DA molecules self-assemble through
an interplay of intermolecular urea–ureahydrogen bonds (that
guide the 1D assembly process) and hydrophobic interactions into semiflexible
fibers (Figure D).
The so-formed fibers can be mechanically reinforced with covalent
bonds via photopolymerization of the assembled diacetylene groups
into PDA fibers with an associated change in optical properties owing
to the formation of a π-conjugated framework.[23] In aqueous media, PDA fibers have an average contour length
of 157 nm, persistence length of 280 nm, and a cross-sectional diameter
of 3.3 nm.[22] Further analysis revealed
that PDA fibers’ cross-section contains 9 or 10 ribbons of
aggregated molecules (Figure B), thereby imparting the bending stiffness needed to be applied
as protein mimics. Gelation of PDA fibers was achieved by introducing
cross-linkable analogues (DA-N3) into the fiber-forming
DA host before the covalent fixation step. Thus, clicking of azide-
and acetylene-labeled PDA fibers by means of a ligand-accelerated
Cu-catalyzed cycloaddition reaction (CuAAC)[24] yielded strain-stiffening gels without an increase in fiber dimensions
(i.e., no additional bundling) upon chemical cross-linking.[22] In the current work, PDA fibers functionalized
by incorporation of 20 mol % DA-N3 were chemically cross-linked
with a PNIPAM copolymer containing 5% propargyl acrylate residues
(PNIPAM-AC). The reaction afforded fibrous gels covalently interlinked
with a thermoresponsive linear polymer as schematically depicted in Figure B.
Synthesis and Characterization
of PNIPAM-AC
PNIPAM-AC
was prepared via reversible addition–fragmentation chain-transfer
(RAFT) copolymerization of NIPAM and trimethylsilyl (TMS)-protected
propargyl acrylate. TMS protection was carried out in order to prevent
unwanted branching and eventual cross-linking of the individual chains
by polymerization of the somewhat polymerizable terminal alkyne moieties.[25] In the final step, the TMS groups were removed
with tetra-n-butylammonium fluoride (TBAF) to give
a linear polymer with an average molecular weight of M = 6.96 kDa and a dispersity of ĐM = 1.08 (see Supporting Information). Thus, each polymer chain consists of 62 repeat units on average,
of which 3.1 are propargyl acrylate residues. The cloud point of PNIPAM-AC
in water was studied by measuring the transmittance at 600 nm in a
UV–vis spectrophotometer over a temperature range from 20 to
35 °C. Solutions became turbid at ca. 27 °C at a concentration
of 5 mg mL–1, and the drop in transmittance shifted
toward lower temperatures at increased polymer concentration (Figure ). The cloud point
temperature was taken as the temperature at which transmission had
dropped by 50% (TCP(50%)) and was lower
than the literature value of 32 °C,[26] likely due to the incorporation of a hydrophobic co-monomer, as
has been previously reported for other PNIPAM copolymers.[27,28] Increasing the amount of propargyl acrylate to 10 mol % in the monomer
feed rendered the polymers insoluble in water, which limited the degree
of functionalization of PNIPAM-AC.
Figure 2
Cloud point temperatures (TCP(50%))
of PNIPAM-AC coils in water measured at different polymer concentrations.
Cloud point temperatures (TCP(50%))
of PNIPAM-AC coils in water measured at different polymer concentrations.
Gelation and Thermal Analysis
of the Hydrogels
Chemical
cross-linking was initiated by adding the catalyst mixture to an aqueous
solution of polymerized PDA (containing 20 mol % DA-N3)
fibers and PNIPAM-AC. Solutions were immediately transferred to the
rheometer, where the gelation process was monitored by measuring the
change in moduli at a constant temperature of 20 °C with small-amplitude
oscillatory strain (1%) until a constant value of the elastic modulus was reached (Figure S3). Concurrently, networks below the critical connectivity
threshold (no measurable storage modulus at 20 °C) were allowed to react for ca. 10
h in the rheometer prior to analysis.Thermal analysis was performed
by subjecting the hydrogels to a linear temperature ramp from 20 to
55 °C while continuously recording the change in moduli with
small-amplitude oscillatory strains. At room temperature, increasing
the concentrations at a fixed ratio of acetylene to azide groups,
[PNINAM-AC]/[DA-N3] = 0.78, produced progressively stiffer
materials with moduli G′ ranging from 2 to
200 Pa in the concentration range between 13 and 23 mg mL–1 (Figure A). Below
10 mg mL–1 PDA however, the storage modulus of the
networks could not be probed at room temperature (yellow region of Figure A). Within this concentration
regime, all networks remained in the liquid state below the LCST of
PNIPAM-AC and formed hydrogels able to support their own weight after
placing the sample tubes in a hot water bath at 55 °C. Rigidification
of the gels took place within seconds without macroscopic shrinkage,
nor was water expelled from the hydrogel (Figure S4). Samples remained in the gel state even weeks after returning
to room temperature. Rheology during the T-ramp showed
an increase of G′ by more than 2 orders of
magnitude with the stiffening setting in at temperatures slightly
above the measured cloud point of PNIPAM-AC in water (Figure A) and gradually shifting toward
lower temperatures at higher polymer concentrations. In line with
this observation, although “free” PNIPAM-AC exhibits
a characteristic concentration-dependent shift in cloud point, this
effect was enhanced in the presence of PDA fibers screening the globules.
For instance, while a 5 mg mL–1 PNIPAM-AC solution
became turbid at 25 °C (in Figure ), the transition was shifted to ca. 35 °C for
the same concentration of PNIPAM-AC when cross-linked to 10 mg mL–1 PDA fibers (blue up-triangles in Figure A). Although kinetic effects
can be excluded as the main source of this delayed cloud point—given
the fast rigidification observed when samples were placed in a hot
water bath compared to the experimental time scale of the T-ramp, i.e., 28 min—similar shifts in LCST have
been reported in thermoresponsive POEG(M)A polymers when grafted to
CNCs and have been ascribed to the hydrophilic nature of the CNC.[20]
Figure 3
Thermal stiffening of PDA/PNIPAM-AC hydrogels. (A) Linear
storage
modulus vs temperature
recorded by applying γ = 1% and ω = 6.28 rad s–1 at a linear heating rate of 1.25 °C min–1 for different PDA (20 mol % DA-N3) concentrations cross-linked
using a fixed molar ratio of acetylene to azide groups, [PNIPAM-AC]/[DA-N3] = 0.78. The yellow region represents the concentration threshold
required for connectivity at 20 °C. (B) vs T for 15 mg mL–1 PDA (20 mol % DA-N3) hydrogels cross-linked using different
[PNINAM-AC]/[DA-N3] molar ratios.
Thermal stiffening of PDA/PNIPAM-AC hydrogels. (A) Linear
storage
modulus vs temperature
recorded by applying γ = 1% and ω = 6.28 rad s–1 at a linear heating rate of 1.25 °C min–1 for different PDA (20 mol % DA-N3) concentrations cross-linked
using a fixed molar ratio of acetylene to azide groups, [PNIPAM-AC]/[DA-N3] = 0.78. The yellow region represents the concentration threshold
required for connectivity at 20 °C. (B) vs T for 15 mg mL–1 PDA (20 mol % DA-N3) hydrogels cross-linked using different
[PNINAM-AC]/[DA-N3] molar ratios.The significant increase in prompted by PNIPAM-AC coil-to-globule transition seen in Figure can be related to
the isotropic nature of the induced deformation, whereby PNIPAM-AC
collapse pulls on PDA fibers regardless of their initial orientation.
By contrast, stiffening due to anisotropic shear stress preferentially
recruits fibers aligned in the direction of the imposed strain.[21,29,30] The approximately 100-fold increase
in modulus found for the PNIPAM-containing system is reminiscent of
filamin A (FLNa)-cross-linked F-actin networks isotropically stressed
via contractile forces imparted by embedded myosin II motor proteins
or of fibrin in blood clots stiffened by contractile platelet-mediated
forces.[12,13,31−33]To study the effect of the ratio of acetylene to azide groups
on
the macroscopic properties of the hydrogels, solutions containing
15 mg mL–1 PDA fibers (containing 20 mol % DA-N3) were cross-linked using varying concentrations of PNIPAM-AC
ranging from 1.5 to 15 mg mL–1, resulting in acetylene
to azide ratios between 0.15 and 1.56. Cross-linking at a ratio of
0.15 produced a fluid material of which could not be probed at 20 °C (Figure B, light green squares). Upon
increasing the ratio of acetylene to azide groups to 0.39, the of the hydrogels crossed the
threshold required for connectivity. When the ratio was increased
to 1.55, was lowered again.
We conjecture that the modulus decreases at high ratios because when
acetylene groups are present in excess, a larger fraction of PNIPAM
molecules react with just one of their acetylene groups, and the extent
of interfiber cross-linking is reduced. The cross-linker to fiber
ratio also influences the thermal stiffening of the gels. The storage
modulus of the different gels of Figure B was measured as a function of temperature
during a linear T-ramp from 20 to 55 °C. The
data show that, for networks above the connectivity threshold, the
net increase in resulting
from PNIPAM-AC collapse increases with increasing cross-linker to
fiber ratios. Specifically, at a 1.55 ratio of acetylene to azide
groups, increases more
than 3 orders of magnitude, from 1.5 Pa at 20 °C to 1790 Pa at
55 °C. Similar trends have also been observed in reconstituted
actomyosin networks where the magnitude of the stiffening response
is coupled to the relative amount of force-generating and cross-linking
proteins. Hence, high [myosin]/[actin] or high [FLNa]/[actin] molar
ratios induce stronger local tension on the filaments, resulting in
higher degrees of macroscopic stiffening.[12,13,34,35]To compare
the linear storage modulus of PDA/PNIPAM hydrogels to
those of a “bare” PDA network lacking a force-generating
linker as well as intrafiber cross-links, a direct cross-linking approach
recently reported by us was employed (Figure S6).[36] Thus, 15 mg mL–1 PDA/DA-N3 and PDA-DA-AC fiber solutions (each containing 20 mol
% cross-linkable molecules) were mixed after the covalent fixation
step and chemically cross-linked. Since covalent fixation anchors
the monomers to the fibers, interfiber migration of reactive groups
is prevented. Accordingly, all cross-links effectively connect two
different fibers, and the number of cross-links that contribute to
the network’s modulus is maximized. This network was found
to have a linear storage modulus of 25 Pa, just above the value (9
Pa) of the stiffest network attained using PNIPAM-AC at a [PNIPAM-AC]/[DA-N3] = 0.78 molar ratio, indicating that in the PNIPAM-containing
network, cross-link density at an optimized cross-linker to fiber
ratio is near the maximum value.
Irreversibility of the
Thermally Induced Stiffening Transition
To identify the underlying
mechanisms governing the stiffening
of PDA/PNIPAM-AC networks, the moduli of the gels were monitored as
they were heated to 55 °C and subsequently cooled back to 20
°C before and after chemical cross-linking of a solution containing
15 mg mL–1 PDA/DA-N3 fibers and 7.5 mg
mL–1 PNIPAM-AC (Figure A,C). For chemically cross-linked gels (Figure A,B), heating above
the LCST of PNIPAM-AC prompts a 100-fold increase in G′ that infers strong pulling of PNIPAM-AC on PDA fibers as
the linker undergoes a coil-to-globule transition. After cooling back
to 20 °C, the hydrogel remained in a stiffened state in line
with previous observations showing an irreversible fluid–gel
transition after removing the gel from the heating source (Figure S4). Interestingly, a solution of PDA
fibers and PNIPAM-AC coils without covalent connections between the
two components was also found to transition from fluid to gel, featuring
a crossover of and at around 35 °C (Figure D). These results
suggest that, much like in composite CNC/PVAc/POEG(M)A networks reported
by Cudjoe et al.,[20] the collapse of the
thermoresponsive linker brings PDA fibers into physical contact, creating
a percolating network even in the absence of chemical cross-links.
The storage modulus of the physical gel after cooling back to room
temperature was over 2 orders of magnitude lower than in the cross-linked
material, indicating that, while the formation of physical connections
is sufficient to form an elastic material, covalent cross-links strongly
increase network connectivity, resulting in much stiffer gels at the
same fiber concentration. On cooling back to room temperature, the
physical hydrogel relaxes part of the built-up stress as inferred
from a decrease in modulus likely due to PNIPAM chains loosening their
grip around the fibers as they swell below their LCST. By contrast,
in both CNC/PVAc/POEG(M)A composites and biopolymer actin/myosin II
networks, full recovery of the original stiffness is achieved after
cessation of the active contraction.[13,17,20,31] A possible explanation
to account for the contrasting irreversibility found in PDA/PNIPAM-AC
networks involves a poorly reversible interaction between the hydrophobic
cores of two fibers, which are brought together upon heating above
the LCST of the PNIPAM component, but do not detach form each other
when the PNIPAN chains swell again upon cooling.
Figure 4
Proposed mechanism of
PDA/PNIPAM-AC stiffening transition. (A)
Mechanism proposed for the stiffening transition at a constant overall
volume observed in a covalently cross-linked PDA/PNIPAM-AC network.
(B) Storage () and loss
() moduli vs temperature
at γ = 1% and ω = 6.28 rad s–1 and a
heating/cooling rate of 1.25 °C min–1 for a
network consisting of 15 mg mL–1 PDA (20 mol % DA-N3) cross-linked with PNIPAM-AC using a [PNINAM-AC]/[DA-N3] = 0.78 molar ratio. (C) Sol–gel transition via formation
of a physical network lacking chemical cross-links between PDA and
PNIPAM-AC. (D) 15 mg mL–1 PDA mixed with PNIPAM-AC
using a [PNINAM-AC]/[DA-N3] = 0.78 molar ratio in the absence
of added catalyst. Below 30 °C, the data are of limited accuracy,
as they are dominated by inertia effects with a raw phase angle above
170° (Figure S10).
Proposed mechanism of
PDA/PNIPAM-AC stiffening transition. (A)
Mechanism proposed for the stiffening transition at a constant overall
volume observed in a covalently cross-linked PDA/PNIPAM-AC network.
(B) Storage () and loss
() moduli vs temperature
at γ = 1% and ω = 6.28 rad s–1 and a
heating/cooling rate of 1.25 °C min–1 for a
network consisting of 15 mg mL–1 PDA (20 mol % DA-N3) cross-linked with PNIPAM-AC using a [PNINAM-AC]/[DA-N3] = 0.78 molar ratio. (C) Sol–gel transition via formation
of a physical network lacking chemical cross-links between PDA and
PNIPAM-AC. (D) 15 mg mL–1 PDA mixed with PNIPAM-AC
using a [PNINAM-AC]/[DA-N3] = 0.78 molar ratio in the absence
of added catalyst. Below 30 °C, the data are of limited accuracy,
as they are dominated by inertia effects with a raw phase angle above
170° (Figure S10).
Mesoscale Structural Characterization of
the Hydrogels
Relevant insights into the structure of chemically
and physically
cross-linked PDA/PNIPAM-AC networks were obtained using small-angle
X-ray scattering (SAXS). SAXS experiments were performed both below
and above the LCST of PNIPAM-AC to probe the topology of both systems
(Figure ). Scattering
of the physical gel at 20 °C is very similar to the sum of the
scattering of the separate components, showing that there is little
interaction between the two polymers (Figure A). In the covalent gel at the same temperature,
there is excess scattering intensity at low q values
with a power law exponent that has increased from −1 to −1.5 (purple
up triangles in Figure A). This indicates structural heterogeneities at mesoscopic length
scales (>±15 nm), in line with a calculated mesh size of 82
nm
at this concentration (Table S2). Upon
heating to 55 °C, when the thermosensitive PNIPAM-AC chains collapse
above their LCST, the excess forward scattering intensity and power
law exponents increase for both the chemically (Figure B) and physically (Figure C) cross-linked hydrogels as the heterogeneities
herein become more pronounced. In the high q-region,
the SAXS profiles recorded above and below the LCST overlay, indicating
that the cross-sectional diameter of the PDA fibers in the hydrogels
remains fixed at approximately 3 nm. Interestingly, a correlation
peak arises exclusively in the covalently cross-linked hydrogel above
the LCST. Fitting with a model to describe aggregation in polymer
solutions,[37] which has also been employed
to describe peptide hydrogels,[38] gives
a correlation length of 1.2 nm, smaller than the diameter of the fibers
(Figure S8). Tentatively, we attribute
this feature to the emergence of small domains composed of collapsed
PNIPAM-AC globules.
Figure 5
Small-angle X-ray scattering profiles of un-cross-linked
physical
mixture and covalently cross-linked PDA/PNIPAM-AC (20 mol % DA-N3) gels at 15 mg mL–1 PDA and PNIPAM-AC.
Molar ratio [PNINAM-AC]/[DA-N3] = 0.78. (A) Comparison
of the scattering intensities of the physical gel and the covalent
gel with the sum of the scattering intensities of the separate components.
(B) Covalently cross-linked gel at 20 and 55 °C. (C) Physical
mixture at 20 and 55 °C.
Small-angle X-ray scattering profiles of un-cross-linked
physical
mixture and covalently cross-linked PDA/PNIPAM-AC (20 mol % DA-N3) gels at 15 mg mL–1 PDA and PNIPAM-AC.
Molar ratio [PNINAM-AC]/[DA-N3] = 0.78. (A) Comparison
of the scattering intensities of the physical gel and the covalent
gel with the sum of the scattering intensities of the separate components.
(B) Covalently cross-linked gel at 20 and 55 °C. (C) Physical
mixture at 20 and 55 °C.
Nonlinear Mechanics of Prestressed PDA/PNIPAM Hydrogels
To more accurately capture the mechanical response of PDA/PNIPAM-AC
networks stiffened via PNIPAM-AC collapse in Figure under externally applied shear stress, a
benchmarked rheological prestress protocol was applied.[39] Accordingly, the differential modulus K (the elastic part of which relates the change in stress
with strain, K′ = δσ/δγ)
was measured by parallel superposition of an oscillatory and a steady
prestress σ. The stiffness—quantified by K′—of most synthetic hydrogels based on flexible polymer chains
is constant at biologically relevant stresses.[21] By contrast, gels reconstituted from most intra- and extracellular
filamentous proteins are known to exhibit two distinct regimes: a
low-stress linear regime, where K′ is equal
to the plateau storage modulus G0, and
a high-stress nonlinear regime, where K′ increases
with σ as K′ ∝ σ, with m being the so-called stiffening
exponent.K′ vs σ data were recorded
after applying a T-ramp from 20 to 55 °C (in Figure ) and cooling back
to 20 °C. Since the stiffening transition for covalently cross-linked
networks was almost fully irreversible, the moduli of the gels at
20 °C were nearly identical to the values at 55 °C. Thus,
stiffened PDA/PNIPAM networks from Figure B were subjected to a range of steady prestress
σ at 20 °C. All networks exhibited an apparently linear
response over a concentration-dependent range of applied σ (Figure A). However, at a
characteristic critical stress (σc) the moduli of
the gels begins to increase. Strikingly, a 4-fold increase in PDA
concentration at a [PNIPAM-AC]/[PDA] ratio of 0.78 combined with an
externally applied stress raises the plateau storage modulus
from 2 Pa to 10 kPa, nearly 4 orders of magnitude. Concomitantly,
the stress at failure (σmax) increases with concentration
by 3 full decades. For the highest PDA concentration, σmax reaches a value of 1.3 kPa, vastly surpassing the maximum
stress of synthetic polyisocyanopeptides (PICs)-based biomimetic gels,
i.e., σmax ≈ 40–100 Pa, where the solubility
range of PIC polymers is considerably narrower.[40,41] To quantify the dependence on c of both G0 and σc, scaling analysis
was performed and revealed a G0 ∝ c5.1 and G0 ∝
σc5.1 relationship over the whole c range studied (Figure S9).
Such scaling differs from the typical square dependence found in both
theoretical and literature values.[7,40,42,43] We hypothesize that
the principal effect causing the strong concentration dependence of G0 is, among other factors, the concentration-dependent
ratio of intrafiber to interfiber cross-linking. Additionally, we
warn against overinterpretation, as we do not have scaling data over
even a single decade and therefore cannot rule out that the observed
dependence is a crossover effect.
Figure 6
Nonlinear mechanical response of PDA/PNIPAM-AC
hydrogels to externally
applied shear stress after heating the gels to 55 °C and cooling
back to 20 °C. (A) Differential modulus K′
plotted against stress σ for different concentrations of PDA
cross-linked using a fixed molar ratio [PNINAM-AC]/[DA-N3] = 0.78 obtained from prestressed gels of Figure A. (B) Plot of K′
vs stress σ with K′ normalized to G0 and σ normalized to σc, showing collapse onto a single master curve with K′ ∝ σ1 at high σ. (C) K′ vs σ measured at 20 °C for 15 mg mL–1 PDA cross-linked using varying [PNINAM-AC]/[DA-N3] molar ratios obtained from prestressed gels of Figure B. (D) Plot of K′ vs stress σ with K′
normalized to G0 and σ normalized
to σc, showing collapse onto a single master curve.
(E) Stiffening factor at failure K′max/G0 plotted against [PNINAM-AC]/[DA-N3] molar ratio. (F) Differential modulus K′ plotted against stress σ for a PDA hydrogel (12 mg
mL–1) cross-linked using a [PNINAM-AC]/[DA-N3] = 0.78 molar ratio, measured at different temperatures.
The gel was brought to its σmax only in the last
run at 55 °C.
Nonlinear mechanical response of PDA/PNIPAM-AC
hydrogels to externally
applied shear stress after heating the gels to 55 °C and cooling
back to 20 °C. (A) Differential modulus K′
plotted against stress σ for different concentrations of PDA
cross-linked using a fixed molar ratio [PNINAM-AC]/[DA-N3] = 0.78 obtained from prestressed gels of Figure A. (B) Plot of K′
vs stress σ with K′ normalized to G0 and σ normalized to σc, showing collapse onto a single master curve with K′ ∝ σ1 at high σ. (C) K′ vs σ measured at 20 °C for 15 mg mL–1 PDA cross-linked using varying [PNINAM-AC]/[DA-N3] molar ratios obtained from prestressed gels of Figure B. (D) Plot of K′ vs stress σ with K′
normalized to G0 and σ normalized
to σc, showing collapse onto a single master curve.
(E) Stiffening factor at failure K′max/G0 plotted against [PNINAM-AC]/[DA-N3] molar ratio. (F) Differential modulus K′ plotted against stress σ for a PDA hydrogel (12 mg
mL–1) cross-linked using a [PNINAM-AC]/[DA-N3] = 0.78 molar ratio, measured at different temperatures.
The gel was brought to its σmax only in the last
run at 55 °C.The nonlinear mechanics
of PDA/PNIPAM hydrogels were compared to
those of the “bare” PDA reference network lacking a
thermoresponsive linker as well as intrafiber cross-links (Figure S6A). Such networks, obtained by cross-linking
fibers with either 20 mol % DA-AC or DA-N3 analogues showed
identical stiffening behavior to the PDA/PNIPAM hydrogels (Figure A; red triangles),
indicating that the nonlinear elastic response of these materials
is exclusively governed by the semiflexible matrix of PDA fibers resisting
bending and elongation.All curves in Figure A, including the reference curve of the bare
PDA network, were reduced
to a single master curve by normalizing K′
to its value in the low-stress linear regime G0 and by normalizing σ to σc (Figure B). The master curve
exhibits power-law dependence K′ ∝
σ1 above σc. This value of the stiffening
exponent (m) features universally in biopolymer materials
at all length scales. In subcellular scales, m =
1 has been reported for reconstituted, active networks of FLNa-cross-linked
actin stiffened by myosin II.[13] At whole-cell
scales, m = 1 is robustly seen in entire fibroblasts.[44] Macroscopically, m = 1 is likewise
reported for extracellular hydrogels of reconstituted type I collagen.[45] This match between PDA/PNIPAM-AC hydrogels and
filamentous biomaterials highlights the biomimetic nature of these
materials.To assess the effect of [PNINAM-AC]/[DA-N3] ratio on
the nonlinear mechanics of the hydrogels, the same prestress protocol
at 20 °C was applied to gels of Figure B. Figure C–E clearly show that increasing the ratio of
PNIPAM-AC to DA-N3 at a fixed concentration of PDA (15
mg mL–1) extends the range of nonlinear deformation,
resulting in a concomitant increase of the stiffening factor from
3.5 at a ratio of [PNINAM-AC]/[DA-N3] = 0.15 up to 7.7
at [PNINAM-AC]/[DA-N3] = 1.5 (in Figure E). This supports the notion that at higher
PNIPAM to fiber ratios enhanced intrafiber cross-linking reinforces
the fibers and extends the range of nonlinear deformation, as has
recently been reported by us by making use of multiarm cross-linkers.[41]The nonlinear mechanics of physical networks
were also studied
in comparison to their covalently cross-linked counterparts. Thus,
hydrogels from Figure B,D were subjected to a range of steady prestress after heating to
55 °C and cooling back to 20 °C (Figure S11). Strikingly, the hydrophobic connections holding the physical
gel together were strong enough to support a regime of nonlinear deformation
prior to failure. However, both plateau modulus and stiffening factor
were substantially lower than in the cross-linked material owing to
a lower network connectivity and weaker connections between fibers,
respectively.Having shown that PDA fibers cross-linked with
thermoresponsive
PNIPAM-AC exhibit thermo- and mechanoresponsiveness, we set out to
study the magnitude of the response of PDA/PNIPAM gels to combined
mechanical and thermal stimuli. To this end, we carefully subjected
a sample of the hydrogel to a range of applied stresses below σmax while continuously recording K′
at different temperatures, both below and above the LCST of PNIPAM-AC. Figure F shows that the
combination of externally applied shear stress and internally generated
contractile forces through PNIPAM-AC collapse triggers a strong response
that drives the network from an initial soft state with an associated
modulus of 1.5 Pa at 20 °C to a final modulus of 2000 Pa at 55
°C just before failure.
Conclusions
We
have shown that chemical cross-linking of semiflexible PDA fibers
with a polymer exhibiting LSCT behavior endows the resultant hydrogels
with thermo- and stress-responsiveness. The coil-to-globule transition
of PNIPAM-AC induces internal stress within the PDA semiflexible fibrous
matrix that drives the system into a stressed regime with an associated
network stiffening by up to 1000 times its room-temperature linear
modulus. The coil-to-globule transition of the linker rigidifies a
previously fluid PDA network to rapidly form elastic, strain-stiffening
hydrogels. This holds promise in the biomedical field, where it opens
the door to their use as injectable materials that quickly form biomimetic
scaffolds at body temperature provided that alternative strategies
to cross-link PDA fibers avoiding the use of cytotoxic Cu(I) are explored,
such as strain-promoted, cycloaddition reactions.[46,47] In addition, promising results have recently emerged making use
of analogous bolaamphiphilic constructs as viable materials to support
stem cell growth.[48]We have also
shown that the so-formed hydrogels show quantitative
resemblance to biological systems in the nonlinear stiffening regime
featuring an exponential relationship of the differential modulus
with stress that directly mimics the stiffening of collagen gels and,
most notably, of reconstituted, active actin/myosin II networks and
fibroblast subjected to mechanical prestress. Ultimately, we have
illustrated the power and versatility of internally generated forces
to enhance the mechanical response of soft materials constructed from
entirely man-made building blocks, allowing us to emulate complex
biomechanical functions.
Authors: M L Gardel; F Nakamura; J H Hartwig; J C Crocker; T P Stossel; D A Weitz Journal: Proc Natl Acad Sci U S A Date: 2006-01-30 Impact factor: 11.205
Authors: Matt D G Hughes; Benjamin S Hanson; Sophie Cussons; Najet Mahmoudi; David J Brockwell; Lorna Dougan Journal: ACS Nano Date: 2021-07-02 Impact factor: 15.881