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1.
Biophys J ; 2024 Jul 01.
Artigo em Inglês | MEDLINE | ID: mdl-38956875

RESUMO

Cardiac function relies on the autonomous molecular contraction mechanisms in the ventricular wall. Contraction is driven by ordered motor proteins acting in parallel to generate a macroscopic force. The averaged structure can be investigated by diffraction from model tissues such as trabecular and papillary cardiac muscle using collimated synchrotron beams, offering high resolution in reciprocal space. In the ventricular wall, however, the muscle tissue is compartmentalized into smaller branched cardiomyocytes, with a higher degree of disorder. We show that X-ray diffraction is now also capable of resolving the structural organization of actomyosin in single isolated cardiomyocytes of the ventricular wall. In addition to the hexagonal arrangement of thick and thin filaments, the diffraction signal of the hydrated and fixated cardiomyocytes was sufficient to reveal the myosin motor repeat (M3), the troponin complex repeat (Tn), and the sarcomere length SL. The SL signal comprised up to 13 diffraction orders which were used to compute the sarcomere density profile based on Fourier synthesis. The Tn and M3 spacings were found in the same range as previously reported for other muscle types. The approach opens up a pathway to record the structural dynamics of living cells during the contraction cycle, towards a more complete understanding of cardiac muscle function.

2.
Soft Matter ; 20(19): 3897-3900, 2024 May 15.
Artigo em Inglês | MEDLINE | ID: mdl-38700293

RESUMO

Two protein interaction peaks are observed in pharmaceutically-relevant protein (serum albumin) : disaccharide 1 : 1 and 1 : 3 (w/w) freeze-dried systems for the first time. In samples with a higher disaccharide content, the protein-protein distances are longer for both populations, while the fraction of the protein population with a shorter protein-protein distance is lower. Both factors would favor better stability against aggregation for disaccharide-rich protein formulations. This study provides direct experimental support for a "dilution" hypothesis as a potential stabilization mechanism for freeze-dried protein formulations.


Assuntos
Dissacarídeos , Liofilização , Espalhamento a Baixo Ângulo , Difração de Raios X , Dissacarídeos/química , Difração de Nêutrons , Animais
3.
Nano Lett ; 23(5): 1645-1651, 2023 Mar 08.
Artigo em Inglês | MEDLINE | ID: mdl-36795963

RESUMO

The assembly of polyoxometalate (POM) metal-oxygen clusters into ordered nanostructures is attracting a growing interest for catalytic and sensing applications. However, assembly of ordered nanostructured POMs from solution can be impaired by aggregation, and the structural diversity is poorly understood. Here, we present a time-resolved small-angle X-ray scattering (SAXS) study of the co-assembly in aqueous solutions of amphiphilic organo-functionalized Wells-Dawson-type POMs with a Pluronic block copolymer over a wide concentration range in levitating droplets. SAXS analysis revealed the formation and subsequent transformation with increasing concentration of large vesicles, a lamellar phase, a mixture of two cubic phases that evolved into one dominating cubic phase, and eventually a hexagonal phase formed at concentrations above 110 mM. The structural versatility of co-assembled amphiphilic POMs and Pluronic block copolymers was supported by dissipative particle dynamics simulations and cryo-TEM.

4.
Mol Pharm ; 20(11): 5790-5799, 2023 11 06.
Artigo em Inglês | MEDLINE | ID: mdl-37889088

RESUMO

Water-to-ice transformation results in a 10% increase in volume, which can have a significant impact on biopharmaceuticals during freeze-thaw cycles due to the mechanical stresses imparted by the growing ice crystals. Whether these stresses would contribute to the destabilization of biopharmaceuticals depends on both the magnitude of the stress and sensitivity of a particular system to pressure and sheer stresses. To address the gap of the "magnitude" question, a phospholipid, 1,2-dipalmitoyl-sn-glycero-3-phosphocholine (DPPC), is evaluated as a probe to detect and quantify the freeze-induced pressure. DPPC can form several phases under elevated pressure, and therefore, the detection of a high-pressure DPPC phase during freezing would be indicative of a freeze-induced pressure increase. In this study, the phase behavior of DPPC/water suspensions, which also contain the ice nucleation agent silver iodide, is monitored by synchrotron small/wide-angle X-ray scattering during the freeze-thaw transition. Cooling the suspensions leads to heterogeneous ice nucleation at approximately -7 °C, followed by a phase transition of DPPC between -11 and -40 °C. In this temperature range, the initial gel phase of DPPC, Lß', gradually converts to a second phase, tentatively identified as a high-pressure Gel III phase. The Lß'-to-Gel III phase transition continues during an isothermal hold at -40 °C; a second (homogeneous) ice nucleation event of water confined in the interlamellar space is detected by differential scanning calorimetry (DSC) at the same temperature. The extent of the phase transition depends on the DPPC concentration, with a lower DPPC concentration (and therefore a higher ice fraction), resulting in a higher degree of Lß'-to-Gel III conversion. By comparing the data from this study with the literature data on the pressure/temperature Lß'/Gel III phase boundary and the lamellar lattice constant of the Lß' phase, the freeze-induced pressure is estimated to be approximately 0.2-2.6 kbar. The study introduces DPPC as a probe to detect a pressure increase during freezing, therefore addressing the gap between a theoretical possibility of protein destabilization by freeze-induced pressure and the current lack of methods to detect freeze-induced pressure. In addition, the observation of a freeze-induced phase transition in a phospholipid can improve the mechanistic understanding of factors that could disrupt the structure of lipid-based biopharmaceuticals, such as liposomes and mRNA vaccines, during freezing and thawing.


Assuntos
Produtos Biológicos , Água , Congelamento , Água/química , Fosfolipídeos , Temperatura , Gelo , 1,2-Dipalmitoilfosfatidilcolina/química , Difração de Raios X , Síncrotrons , Transição de Fase , Varredura Diferencial de Calorimetria
5.
Phys Rev Lett ; 124(5): 058003, 2020 Feb 07.
Artigo em Inglês | MEDLINE | ID: mdl-32083896

RESUMO

Monte Carlo simulations, fully constrained by experimental parameters, are found to agree well with a measured phase diagram of aqueous dispersions of nanoparticles with a moderate size polydispersity over a broad range of salt concentrations, c_{s}, and volume fractions, ϕ. Upon increasing ϕ, the colloids freeze first into coexisting compact solids then into a body centered cubic phase (bcc) before they melt into a glass forming liquid. The surprising stability of the bcc solid at high ϕ and c_{s} is explained by the interaction (charge) polydispersity and vibrational entropy.

6.
Soft Matter ; 16(8): 2128-2134, 2020 Feb 26.
Artigo em Inglês | MEDLINE | ID: mdl-32016274

RESUMO

In globular protein systems, upper critical solution temperature (UCST) behavior is common, but lower critical solution temperature (LCST) phase transitions are rare. In addition, the temperature sensitivity of such systems is usually difficult to tune. Here we demonstrate that the charge state of globular proteins in aqueous solutions can alter their temperature-dependent phase behavior. We show a universal way to tune the effective protein interactions and induce both UCST and LCST-type transitions in the system using trivalent salts. We provide a phase diagram identifying LCST and UCST regimes as a function of protein and salt concentrations. We further propose a model based on an entropy-driven cation binding mechanism to explain the experimental observations.


Assuntos
Lactoglobulinas/química , Soroalbumina Bovina/química , Soluções/química , Animais , Bovinos , Entropia , Transição de Fase , Temperatura
7.
Soft Matter ; 16(17): 4142-4154, 2020 May 06.
Artigo em Inglês | MEDLINE | ID: mdl-32319505

RESUMO

We have used time-resolved small-angle X-ray scattering (SAXS) to study the adhesion of lipid vesicles in the electrostatic strong-coupling regime induced by divalent ions. The bilayer structure and the interbilayer distance dw between adhered vesicles was studied for different DOPC:DOPS mixtures varying the surface charge density of the membrane, as well as for different divalent ions, such as Ca2+, Sr2+, and Zn2+. The results are in good agreement with the strong coupling theory predicting the adhesion state and the corresponding like-charge attraction based on ion-correlations. Using SAXS combined with the stopped-flow rapid mixing technique, we find that in highly charged bilayers the adhesion state is only of transient nature, and that the adhering vesicles subsequently transform to a phase of multilamellar vesicles, again with an inter-bilayer distance according to the theory of strong binding. Aside from the stopped-flow SAXS instrumentations used primarily for these results, we also evaluate microfluidic sample environments for vesicle SAXS in view of future extension of this work.

8.
J Synchrotron Radiat ; 26(Pt 2): 439-444, 2019 Mar 01.
Artigo em Inglês | MEDLINE | ID: mdl-30855253

RESUMO

Crystal collimation offers a viable alternative to the commonly used pinhole collimation in small-angle X-ray scattering (SAXS) for specific applications requiring highest angular resolution. This scheme is not affected by the parasitic scattering and diffraction-limited beam broadening. The Darwin width of the rocking curve of the crystals mainly defines the ultimate beam divergence. For this purpose, a dispersive Si-111 crystal collimation set-up based on two well conditioned pseudo channel-cut crystals (pairs of well polished, independent parallel crystals) using a higher-order reflection (Si-333) has been developed. The gain in resolution is obtained at the expense of flux. The system has been installed at the TRUSAXS beamline ID02 (ESRF) for reducing the horizontal beam divergence in high-resolution mesurements. The precise mechanics of the system allows reproducible alignment of the Bragg condition. The high resolution achieved at a sample-detector distance of 31 m is demonstrated by ultra-small-angle X-ray scattering measurements on a model system consisting of micrometre-sized polystyrene latex particles with low polydispersity.

9.
J Synchrotron Radiat ; 26(Pt 2): 406-412, 2019 Mar 01.
Artigo em Inglês | MEDLINE | ID: mdl-30855249

RESUMO

Serial synchrotron crystallography allows low X-ray dose, room-temperature crystal structures of proteins to be determined from a population of microcrystals. Protein production and crystallization is a non-trivial procedure and it is essential to have X-ray-compatible sample environments that keep sample consumption low and the crystals in their native environment. This article presents a fast and optimized manufacturing route to metal-polyimide microfluidic flow-focusing devices which allow for the collection of X-ray diffraction data in flow. The flow-focusing conditions allow for sample consumption to be significantly decreased, while also opening up the possibility of more complex experiments such as rapid mixing for time-resolved serial crystallography. This high-repetition-rate experiment allows for full datasets to be obtained quickly (∼1 h) from crystal slurries in liquid flow. The X-ray compatible microfluidic chips are easily manufacturable, reliable and durable and require sample-flow rates on the order of only 30 µl h-1.

10.
Langmuir ; 35(36): 11836-11842, 2019 Sep 10.
Artigo em Inglês | MEDLINE | ID: mdl-31430161

RESUMO

A dramatic improvement is reported in the stability of colloidal particles when stabilizing surface grafts are systematically shortened from small polymers to single monomers. The colloidal dispersions consist of fluorinated latex particles, exhibiting a weak van der Waals attraction, with grafted steric layers of poly(ethylene glycol) (PEG) of different chain lengths. Using an effective salting-out electrolyte, Na2CO3, particle aggregates are detected above a threshold salt concentration that is independent of the particle concentration. The results are interpreted in terms of a sudden onset of nondispersibility of single particles, triggered by the solvent not completely wetting particle surfaces. By decreasing the PEG chain length, the threshold salt concentration is found to increase sharply. For grafts with just a single ethylene glycol group, dispersions remain stable up to exceedingly high concentrations of Na2CO3. However, on removal of the surface coverage altogether, the classical stability behavior of charge-stabilized dispersions is recovered. The behavior can be captured by a simple model that incorporates effective polymer-solvent interactions in the presence of an electrolyte.

11.
Soft Matter ; 13(20): 3812-3821, 2017 May 24.
Artigo em Inglês | MEDLINE | ID: mdl-28485735

RESUMO

Aluminium salts are widely used to control sweating for personal hygiene purposes. Their mechanism of action as antiperspirants was previously thought to be a superficial plugging of eccrine sweat pores by the aluminium hydroxide gel. Here we present a microfluidic T junction device that mimics sweat ducts, and is designed for the real time study of interactions between sweat and ACH (Aluminium Chloro Hydrate) under conditions that lead to plug formation. We used this device to image and measure the diffusion of aluminium polycationic species in sweat counter flow. We report the results of small angle X-ray scattering experiments performed to determine the structure and composition of the plug, using BSA (Bovine Serum Albumin) as a model of sweat proteins. Our results show that pore occlusion occurs as a result of the aggregation of sweat proteins by aluminium polycations. Mapping of the device shows that this aggregation is initiated in the T junction at the location where the flow of aluminium polycations joins the flow of BSA. The mechanism involves two stages: (1) a nucleation stage in which aggregates of protein and polycations bind to the wall of the sweat duct and form a tenuous membrane, which extends across the junction; (2) a growth stage in which this membrane collects proteins that are carried by hydrodynamic flow in the sweat channel and polycations that diffuse into this channel. These results could open up perspectives to find new antiperspirant agents with an improved efficacy.

12.
Phys Rev Lett ; 116(20): 208001, 2016 May 20.
Artigo em Inglês | MEDLINE | ID: mdl-27258885

RESUMO

We report small-angle x-ray scattering experiments on aqueous dispersions of colloidal silica with a broad monomodal size distribution (polydispersity, 14%; size, 8 nm). Over a range of volume fractions, the silica particles segregate to build first one, then two distinct sets of colloidal crystals. These dispersions thus demonstrate fractional crystallization and multiple-phase (bcc, Laves AB_{2}, liquid) coexistence. Their remarkable ability to build complex crystal structures from a polydisperse population originates from the intermediate-range nature of interparticle forces, and it suggests routes for designing self-assembling colloidal crystals from the bottom up.

13.
Phys Chem Chem Phys ; 17(29): 19173-82, 2015 Jul 15.
Artigo em Inglês | MEDLINE | ID: mdl-26134150

RESUMO

It is often necessary to tailor nanoparticle (NP) interactions and their compatibility with a polymer matrix by grafting organic groups, but the commonly used silanization route offers little versatility, particularly in water. Herein, alumina-coated silica NPs in aqueous sols have been modified for the first time with low molecular-weight phosphonic acids (PAs) bearing organic groups of various hydrophobicities and charges: propyl, pentyl and octyl PAs, and two PAs bearing hydrophilic groups, either a neutral diethylene glycol (DEPA) or a potentially charged carboxylic acid (CAPA) group. The interactions and aggregation in the sols have been investigated using zeta potential measurements, dynamic light scattering, transmission electron microscopy, and small-angle scattering methods. The surface modification has been studied using FTIR and (31)P MAS NMR spectroscopies. Both high grafting density ρ and high hydrophobicity of the groups on the PAs induced aggregation, whereas suspensions of NPs grafted by DEPA remained stable up to the highest ρ. Unexpectedly, CAPA-modified NPs showed aggregation even at low ρ, suggesting that the carboxylic end group was also grafted to the surface. Surface modification of aqueous sols with PAs allows thus for the grafting of a higher density and a wider variety of organic groups than organosilanes, offering an increased control of the interactions between NPs, which is of interest for designing waterborne nanocomposites.

14.
Proc Natl Acad Sci U S A ; 109(10): 3699-704, 2012 Mar 06.
Artigo em Inglês | MEDLINE | ID: mdl-22343283

RESUMO

Structuring over many length scales is a design strategy widely used in Nature to create materials with unique functional properties. We here present a comprehensive analysis of an adult sea urchin spine, and in revealing a complex, hierarchical structure, show how Nature fabricates a material which diffracts as a single crystal of calcite and yet fractures as a glassy material. Each spine comprises a highly oriented array of Mg-calcite nanocrystals in which amorphous regions and macromolecules are embedded. It is postulated that this mesocrystalline structure forms via the crystallization of a dense array of amorphous calcium carbonate (ACC) precursor particles. A residual surface layer of ACC and/or macromolecules remains around the nanoparticle units which creates the mesocrystal structure and contributes to the conchoidal fracture behavior. Nature's demonstration of how crystallization of an amorphous precursor phase can create a crystalline material with remarkable properties therefore provides inspiration for a novel approach to the design and synthesis of synthetic composite materials.


Assuntos
Ouriços-do-Mar/fisiologia , Animais , Carbonato de Cálcio/química , Cristalização , Concentração de Íons de Hidrogênio , Substâncias Macromoleculares , Magnésio/química , Espectroscopia de Ressonância Magnética/métodos , Teste de Materiais , Microscopia Eletrônica de Varredura/métodos , Microscopia Eletrônica de Transmissão/métodos , Nanopartículas/química , Espectroscopia de Infravermelho com Transformada de Fourier/métodos , Relação Estrutura-Atividade , Propriedades de Superfície , Difração de Raios X
15.
Proc Natl Acad Sci U S A ; 108(29): 11815-20, 2011 Jul 19.
Artigo em Inglês | MEDLINE | ID: mdl-21730176

RESUMO

Macromolecular crowding in biological media is an essential factor for cellular function. The interplay of intermolecular interactions at multiple time and length scales governs a fine-tuned system of reaction and transport processes, including particularly protein diffusion as a limiting or driving factor. Using quasielastic neutron backscattering, we probe the protein self-diffusion in crowded aqueous solutions of bovine serum albumin on nanosecond time and nanometer length scales employing the same protein as crowding agent. The measured diffusion coefficient D(ϕ) strongly decreases with increasing protein volume fraction ϕ explored within 7% ≤ ϕ ≤ 30%. With an ellipsoidal protein model and an analytical framework involving colloid diffusion theory, we separate the rotational D(r)(ϕ) and translational D(t)(ϕ) contributions to D(ϕ). The resulting D(t)(ϕ) is described by short-time self-diffusion of effective spheres. Protein self-diffusion at biological volume fractions is found to be slowed down to 20% of the dilute limit solely due to hydrodynamic interactions.


Assuntos
Substâncias Macromoleculares/química , Modelos Químicos , Soroalbumina Bovina/química , Difusão , Difração de Nêutrons , Rotação , Água/química
16.
Nat Mater ; 10(1): 56-60, 2011 Jan.
Artigo em Inglês | MEDLINE | ID: mdl-21151164

RESUMO

The relevance of anisotropic interactions in colloidal systems has recently emerged in the context of the rational design of new soft materials. Patchy colloids of different shapes, patterns and functionalities are considered the new building blocks of a bottom-up approach toward the realization of self-assembled bulk materials with predefined properties. The ability to tune the interaction anisotropy will make it possible to recreate molecular structures at the nano- and micro-scales (a case with tremendous technological applications), as well as to generate new unconventional phases, both ordered and disordered. Recent theoretical studies suggest that the phase diagram of patchy colloids can be significantly altered by limiting the particle coordination number (that is, valence). New concepts such as empty liquids­liquid states with vanishing density­and equilibrium gels­arrested networks of bonded particles, which do not require an underlying phase separation to form­have been formulated. Yet no experimental evidence of these predictions has been provided. Here we report the first observation of empty liquids and equilibrium gels in a complex colloidal clay, and support the experimental findings with numerical simulations.

17.
Langmuir ; 28(51): 17632-41, 2012 Dec 21.
Artigo em Inglês | MEDLINE | ID: mdl-23186031

RESUMO

We present a study of the self-assembly of charged surfactants by a combination of molecular simulations and anomalous small-angle X-ray scattering (ASAXS). Solvent-free grand canonical Monte Carlo simulations are used to obtain the equilibrium structure of tetradecyltrimethylammonium bromide (TTAB) micelles. Subsequent molecular dynamics simulations of multiple micelles were used to calculate the scattering intensity obtained at low surfactant concentrations (17 mM). In particular, the partial intensities of the macroion formed by the surfactant and the counterions were derived and compared directly to experimental data obtained from ASAXS, which revealed reasonably good agreement. Emphasis is put on the fluctuations of the spatial distributions of the surfactant molecules and the counterions, respectively. Criteria for the assessment of these fluctuations are given and compared to simulations and experiments. We found that fluctuations are mainly caused by counterions and need to be accounted for the correct interpretation of scattering data. It is demonstrated that the combination of molecular simulations with ASAXS leads to a comprehensive understanding of self-assembly in systems of charged surfactants.

18.
Langmuir ; 28(1): 200-8, 2012 Jan 10.
Artigo em Inglês | MEDLINE | ID: mdl-22053849

RESUMO

We present the results from a small-angle X-ray scattering (SAXS) study of lateral drying in thin films. The films, initially 10 µm thick, are cast by dip-coating a mica sheet in an aqueous silica dispersion (particle radius 8 nm, volume fraction ϕ(s) = 0.14). During evaporation, a drying front sweeps across the film. An X-ray beam is focused on a selected spot of the film, and SAXS patterns are recorded at regular time intervals. As the film evaporates, SAXS spectra measure the ordering of particles, their volume fraction, the film thickness, and the water content, and a video camera images the solid regions of the film, recognized through their scattering of light. We find that the colloidal dispersion is first concentrated to ϕ(s) = 0.3, where the silica particles begin to jam under the effect of their repulsive interactions. Then the particles aggregate until they form a cohesive wet solid at ϕ(s) = 0.68 ± 0.02. Further evaporation from the wet solid leads to evacuation of water from pores of the film but leaves a residual water fraction ϕ(w) = 0.16. The whole drying process is completed within 3 min. An important finding is that, in any spot (away from boundaries), the number of particles is conserved throughout this drying process, leading to the formation of a homogeneous deposit. This implies that no flow of particles occurs in our films during drying, a behavior distinct to that encountered in the iconic coffee-stain drying. It is argued that this type of evolution is associated with the formation of a transition region that propagates ahead of the drying front. In this region the gradient of osmotic pressure balances the drag force exerted on the particles by capillary flow toward the liquid-solid front.

19.
Biochim Biophys Acta Gen Subj ; 1866(5): 130101, 2022 05.
Artigo em Inglês | MEDLINE | ID: mdl-35151821

RESUMO

BACKGROUND: Polyhydroxycompounds (PHC) are used as lyoprotectors to minimize aggregation of pharmaceutical proteins during freeze-drying and storage. METHODS: Lysozyme/PHC mixtures with 1:1 and 1:3 (w/w) ratios are freeze-dried from either H2O or D2O solutions. Disaccharides (sucrose and trehalose), monosaccharide (glucose), and sugar alcohol (sorbitol) are used in the study. Small-angle neutron and X-ray scattering (SANS and SAXS) are applied to study protein-protein interaction in the freeze-dried samples. RESULTS: Protein interaction peak in the freeze-dried mixtures has been detected by both SANS (D2O-based samples only) and SAXS (both D2O- and H2O-based). In the 1:1 mixtures, protein separation distances are similar (center-of-mass distance of approx. 31 Å) between all lyoprotectors studied. Mixtures with a higher content of the disaccharides (1:3 ratio) have a higher separation distance of approx 40 Å. The higher separation could reduce protein-protein contacts and therefore be associated with less favourable aggregation conditions. In the 1:3 mixtures with glucose and sorbitol, complex SANS and SAXS/WAXS patterns are observed. The pattern for the glucose sample indicate two populations of lysozyme molecules, while the origin of multiple SAXS peaks in the lysozyme/sorbitol 1:3 mixture is uncertain. CONCLUSIONS: Protein-protein separation distance is determined predominantly by the lyoprotector/protein weight ratio. GENERAL SIGNIFICANCE: Use of SANS and SAXS improves understanding of mechanisms of protein stabilization by sugars in freeze-dried formulations, and provide a tool to verify hypothesis on relationship between protein/protein separation and aggregation propensity in the dried state.


Assuntos
Muramidase , Proteínas , Glucose , Nêutrons , Espalhamento a Baixo Ângulo , Sorbitol , Trealose , Difração de Raios X , Raios X
20.
J Appl Crystallogr ; 55(Pt 1): 98-111, 2022 Feb 01.
Artigo em Inglês | MEDLINE | ID: mdl-35145357

RESUMO

The new technical features and enhanced performance of the ID02 beamline with the Extremely Brilliant Source (EBS) at the ESRF are described. The beamline enables static and kinetic investigations of a broad range of systems from ångström to micrometre size scales and down to the sub-millisecond time range by combining different small-angle X-ray scattering techniques in a single instrument. In addition, a nearly coherent beam obtained in the high-resolution mode allows multispeckle X-ray photon correlation spectroscopy measurements down to the microsecond range over the ultra-small- and small-angle regions. While the scattering vector (of magnitude q) range covered is the same as before, 0.001 ≤ q ≤ 50 nm-1 for an X-ray wavelength of 1 Å, the EBS permits relaxation of the collimation conditions, thereby obtaining a higher flux throughput and lower background. In particular, a coherent photon flux in excess of 1012 photons s-1 can be routinely obtained, allowing dynamic studies of relatively dilute samples. The enhanced beam properties are complemented by advanced pixel-array detectors and high-throughput data reduction pipelines. All these developments together open new opportunities for structural, dynamic and kinetic investigations of out-of-equilibrium soft matter and biophysical systems.

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