Solvent and solute ingress into hydrogels resolved by a combination of imaging techniques

Multiscale homogenisation of diffusion in enzymatically-calcified hydrogels

Hydrogels are a promising class of material in biomedical and industrial applications, where both the mechanical and diffusion properties play an important role. The wide range of polymers that can be used and the different production methods allows these properties to be specifically tuned to a high degree for their application. Producing tough hydrogels with high stiffness has been a long-standing challenge that has recently been addressed by mineralisation methods. Those methods modify the hydrogel into one with a supporting mineral microstructure that is highly heterogeneous. This work investigates methods to determine the macroscopic diffusion behaviour of heterogeneous gels by a homogenisation method implemented in a finite element framework. This is applied to two recently developed materials by calcifying poly-dimethyl-acrylamide (PDMA) and polyacrylamide hydrogels (PAAm). The former has porous, spherical inclusions obstructing diffusion, while the latter has spherical pores enabling it. For both gels the unobstructed volume can be used as the primary parameter to tune the diffusivity. In PDMA the porosity of the obstructions is shown by multiscale analysis to give a strong, non-linear dependence of the diffusivity on the solute molecule radius. The framework is extended to other materials and comparisons are made to experimental works from the literature.

Spatially Resolving Size Effects on Diffusivity in Nanoporous Extracellular Matrix-like Materials with Fluorescence Correlation Spectroscopy Super-Resolution Optical Fluctuation Imaging

It is well documented that the nanoscale structures within porous microenvironments greatly impact the diffusion dynamics of molecules. However, how the interaction between the environment and molecules influences the diffusion dynamics has not been thoroughly explored. Here, we show that fluorescence correlation spectroscopy super-resolution optical fluctuation imaging (fcsSOFI) can be used to accurately measure the diffusion dynamics of molecules within varying matrices such as nanopatterned surfaces and porous agarose hydrogels. Our data demonstrate the robustness of fcsSOFI, where it is possible not only to quantify the diffusion speeds of molecules in heterogeneous media but also to recover the matrix structure with resolution on the order of 100 nm. Using dextran molecules of varying sizes, we show that the diffusion coefficient is sensitive to the change in the molecular hydrodynamic radius. fcsSOFI images further reveal that smaller dextran molecules can freely move through the small pores of the hydrogel and report the detailed porous structure and local diffusion heterogeneities not captured by the average diffusion coefficient. Conversely, bigger dextran molecules are confined and unable to freely move through the hydrogel, highlighting only the larger pore structures. These findings establish fcsSOFI as a powerful tool to characterize spatial and diffusion information of diverse macromolecules within biorelevant matrices.

Out-of-plane permittivity of confined water

The dielectric properties of confined water is of fundamental interest and is still controversial. For water confined in channels with height smaller than h=8Å, we found a commensurability effect and an extraordinary decrease in the out-of-plane dielectric constant down to the limit of the dielectric constant of optical water. Spatial resolved polarization density data obtained from molecular dynamics simulations are found to be antisymmetric across the channel and are used as input in a mean-field model for the dielectric constant as a function of the height of the channel for h>15Å. Our results are in excellent agreement with a recent experiment [L. Fumagalli et al., Science 360, 1339 (2018)SCIEAS0036-807510.1126/science.aat4191].