Quantitative measurements of cell-generated forces have heretofore required that cells be cultured on two-dimensional substrates. We describe a technique to quantitatively measure threedimensional traction forces exerted by cells fully encapsulated within well-defined elastic hydrogel matrices. We apply this approach to measure tractions from a variety of cell types and contexts, and reveal patterns of force generation attributable to morphologically distinct regions of cells as they extend into the surrounding matrix.Cells are constantly probing, pushing and pulling on the surrounding extracellular matrix (ECM). These cell-generated forces drive cell migration and tissue morphogenesis and maintain the intrinsic mechanical tone of tissues 1, 2. Such forces not only guide mechanical and structural events, but also trigger signaling pathways that promote functions ranging from proliferation to stem cell differentiation3 , 4. Therefore, precise measurements of the spatial and temporal nature of these forces are essential to understanding when and where mechanical events come to play in both physiological and pathological settings.Methods employing planar elastic surfaces or arrays of flexible cantilevers have mapped, with subcellular resolution, the forces that cells generate against their substrates1 , 5 -7 . However, many processes are altered when cells are removed from native three-dimensional (3D) environments and cultured on two-dimensional (2D) substrates. At a structural level, cells encapsulated within a 3D matrix exhibit dramatically different morphology, cytoskeletal organization, and focal adhesion structure from those on 2D substrates 8 . Even the initial means by which cells attach and spread against a 2D substrate are quite different from the invasive process required for cells to extend inside a 3D matrix. These differences suggest that dimensionality alone may significantly impact how cellular forces are generated and transduced into biochemical or structural changes. Yet, although the mechanical properties of 3D ECMs and the cellular forces generated therein have been shown to * Correspondence should be addressed to C.S. Chen, [C.S. Chen (chrischen@seas.upenn.edu, Tel: 01-215-746-1750, Fax: 01-215-746-1752 COMPETING INTERESTS STATEMENTThe authors declare no competing financial interests. Here, we quantitatively measure the traction stresses (force per area), hereafter tractions, exerted by cells embedded within a hydrogel matrix. GFP-expressing fibroblasts were encapsulated within mechanically well-defined polyethylene glycol (PEG) hydrogels that incorporate proteolytically degradable domains in the polymer backbone and pendant adhesive ligands 10 . The incorporation of adhesive and degradable domains permits the cells to invade, spread, and adopt physiologically relevant morphologies ( Fig. 1a and Supplementary Movie 1). The hydrogels used in this study had a Young's modulus of 600 to 1,000 Pa ( Supplementary Fig. 1), a range similar to commonly used ECMs such as reconstituted collagen ...

We developed molecular tension probes (TPs) that report traction forces of adherent cells with high spatial resolution, can be linked to virtually any surface, and obviate monitoring deformations of elastic substrates. TPs consist of DNA hairpins conjugated to fluorophore-quencher pairs that unfold and fluoresce when subjected to specific forces. We applied TPs to reveal that cellular traction forces are heterogeneous within focal adhesions and localized at their distal edges.

Synthetic hydrogels based on poly(ethylene glycol) (PEG) have been used as biomaterials for cell biology and tissue engineering investigations. Bioactive PEG-based gels have largely relied on heterobifunctional or multi-arm PEG precursors that can be difficult to synthesize and characterize or expensive to obtain. Here, we report an alternative strategy, which instead uses inexpensive and readily available PEG precursors to simplify reactant sourcing. This new approach provides a robust system in which to probe cellular interactions with the microenvironment. We used the step-growth polymerization of PEG diacrylate (PEGDA, 3400 Da) with bis-cysteine matrix metalloproteinase (MMP)-sensitive peptides via Michael-type addition to form biodegradable photoactive macromers of the form acrylate-PEG-(peptide-PEG)m-acrylate. The molecular weight (MW) of these macromers is controlled by the stoichiometry of the reaction, with a high proportion of resultant macromer species greater than 500 kDa. In addition, the polydispersity of these materials was nearly identical for three different MMP-sensitive peptide sequences subjected to the same reaction conditions. When photopolymerized into hydrogels, these high MW materials exhibit increased swelling and sensitivity to collagenase-mediated degradation as compared to previously published PEG hydrogel systems. Cell-adhesive acrylate-PEG-CGRGDS was synthesized similarly and its immobilization and stability in solid hydrogels was characterized with a modified Lowry assay. To illustrate the functional utility of this approach in a biological setting, we applied this system to develop materials that promote angiogenesis in an ex vivo aortic arch explant assay. We demonstrate the formation and invasion of new sprouts mediated by endothelial cells into the hydrogels from embedded embryonic chick aortic arches. Furthermore, we show that this capillary sprouting and three-dimensional migration of endothelial cells can be tuned by engineering the MMP-susceptibility of the hydrogels and the presence of functional immobilized adhesive ligands (CGRGDS vs. CGRGES peptide). The facile chemistry described and significant cellular responses observed suggest the usefulness of these materials in a variety of in vitro and ex vivo biologic investigations, and may aid in the design or refinement of material systems for a range of tissue engineering approaches.

Engineered tissue constructs have the potential to augment or replace whole organ transplantation for the treatment of liver failure. Poly(ethylene glycol) (PEG)‐based systems are particularly promising for the construction of engineered liver tissue due to their biocompatibility and amenability to modular addition of bioactive factors. To date, primary hepatocytes have been successfully encapsulated in non‐degradable hydrogels based on PEG‐diacrylate (PEGDA). In this study, we describe a hydrogel system based on PEG‐diacrylamide (PEGDAAm) containing matrix‐metalloproteinase sensitive (MMP‐sensitive) peptide in the hydrogel backbone that is suitable for hepatocyte culture both in vitro and after implantation. By replacing hydrolytically unstable esters in PEGDA with amides in PEGDAAm, resultant hydrogels resisted non‐specific hydrolysis, while still allowing for MMP‐mediated hydrogel degradation. Optimization of polymerization conditions, hepatocellular density, and multicellular tissue composition modulated both the magnitude and longevity of hepatic function in vitro. Importantly, hepatic PEGDAAm‐based tissues survived and functioned for over 3 weeks after implantation ectopically in the intraperitoneal (IP) space of nude mice. Together, these studies suggest that MMP‐sensitive PEGDAAm‐based hydrogels may be a useful material system for applications in tissue engineering and regenerative medicine. © 2015 Wiley Periodicals, Inc. J Biomed Mater Res Part A: 103A: 3331–3338, 2015.

X-ray visibility is an integral design component of in situ gelling embolization systems for neurovascular treatment. The goals of this project included the synthesis and characterization of a unique intrinsically radio-opaque in situ gelling material for neurovascular embolization. The gels formed using Michael-Type Addition between pentaerythritol tetrakis 3-mercaptopropionate (QT) thiols and poly(propylene glycol) diacrylate (PPODA) with the addition of the new material Iodobenzoyl poly(ethylene glycol) acrylate (IPEGA), a radio-opaque agent, synthesized successfully as confirmed with (1)H NMR. The PPODA and IPEGA were mixed using a syringe coupler with QT and buffer at pH 11 for 90 seconds. Gel mixes were weighed to provide equal molar thiols and acrylate groups, changing the present acrylate-bearing compounds wt % ratios from 100 PPODA: 0 IPEGA, 90:10, 80:20, 70:30, 60:40, 50:50, and 0:100. Formulations with 10% and above of IPEGA were X-ray visible. Rheology showed that increasing the amount of IPEGA decreased the storage. Kinetic FT-IR studies indicate that the amphiphilic nature of the PEG backbone increased the reaction rate of the phase segregated reactants. Second order reaction constant modeling showed a change in initial reaction rate from 0.0029 to 0.0187 (M sec)(-1) from the 10% to 50% IPEGA formulations respectively.