Difunctional polymer hydrogels, such as those prepared from poly(ethylene glycol) diacrylate (PEGDA) macromers, are widely used for a number of potential applications in biotechnology and advanced materials due to their low cost, mild cross-linking conditions, and biocompatibility. The microstructure of such hydrogels is known to be heterogeneous, yet little is known about the specific structure itself, how it is impacted by the molecular parameters of the macromer, or its impact on macroscopic gel properties. Here, we determine the structure of PEGDA hydrogels using small-angle neutron scattering over a significant range of macromer molecular weights and volume fractions. From this, we propose a structural model for PEGDA hydrogels based on self-excluded, highly branched star polymers arranged into a fractal network. The primary implication of this structure is that heterogeneity arises not from defects in the cross-linking network, as is commonly assumed, but rather from a heterogeneous distribution of polymer concentration. This structural model provides a systematic explanation of the linear elasticity and swelling of PEGDA hydrogels.
■ INTRODUCTIONPoly(ethylene glycol) (PEG) hydrogels are ubiquitous materials due to their low cost, mild cross-linking conditions, and biocompatibility. PEG is biologically inert and nonimmunogenic, which provides additional advantages over other polymers in drug delivery vehicles and blood-contacting devices. 1−3 Moreover, the mechanical properties of PEG hydrogels are similar to those of soft tissues, enabling their use for a variety of tissue engineering and regenerative medicine applications. 4−7 In addition, they are permeable to water and other small hydrophilic molecules, for which they have been used in microfluidic devices, 8,9 membranes or monoliths for separation processes, 10 and structured particles for controlling crystallization processes. 11,12 PEG hydrogels are typically formed by chemical reaction of linear or star PEG polymers with reactive end-groups. The type of end-group chemistry determines the functionality of the cross-links (i.e., the number of molecules participating in a cross-link), while the macromer concentration and molecular weight determine the cross-linking density of the hydrogel. There are several types of cross-linking chemistries used to produce PEG hydrogels. Hydrogels formed by PEG star polymers with end-groups that react through a binary condensation reaction are generally highly homogeneous, which leads to tough hydrogels. 13,14 Hydrogels formed by difunctional PEG polymers with polymerizable end-groups, i.e., acrylate or methacrylate groups at both ends (PEGDA and PEGDMA, respectively), react via a radical polymerization with low concentrations of initiator. Diacrylic PEG hydrogels have a highly heterogeneous structure 15,16 but are very commonly used because of their low price and availability. 17−19 Moreover, the use of photoinitiators allows for fast and simple gelation with UV light, which enables precise control over the size and ...