Monitoring degradation of matrix metalloproteinases-cleavable PEG hydrogels via multiple particle tracking microrheology

The design of hydrogel matrices for cell encapsulation and tissue regeneration has become increasingly complex. Oftentimes, researchers seek to recapitulate specific biophysical and biochemical cues critical for the resident cell population and an in depth understanding of changes in the local microstructure and rheological properties of the synthetic matrix during enzymatic degradation would be extremely beneficial. Multiple particle tracking microrheology (MPT) enables simultaneous characterization of rheological properties and visualization of the microstructure in an evolving hydrogel scaffold. MPT measures the Brownian motion of fluorescently labeled probe particles embedded in the material, which is directly related to rheological properties using the Generalized Stokes–Einstein Relation (GSER). Here, we study a hydrogel scaffold consisting of a four-arm poly(ethylene glycol) (PEG) end functionalized with norbornene that is cross-linked with both a nondegradable PEG–dithiol and a matrix metalloproteinase (MMP) degradable peptide sequence (KCGPQG↓IWGQCK) using thiol–ene chemistry. The material degradation is measured as a function of time and extent of degradability, focusing on measuring the gel–sol transition. Using time–cure superposition, we determine the critical degradation time and critical extent of degradability for this specific gel formulation as tc = 1.85 h and pc = 0.589, respectively, and the critical relaxation exponent, n = 0.16. Finally, spatial information gained by MPT measurements quantifies the heterogeneity within the scaffold showing that these hydrogels degrade homogeneously when collagenase is introduced in solution at a concentration of 0.1–0.3 mg mL−1. Understanding the microstructural and rheological properties of a material near the gel–sol transition enables researchers to improve their insight as to how cells remodel their microenvironment when encapsulated in gels, and more precisely design and manipulate this parameter to improve three-dimensional culture systems.

[1]  Kristi L Kiick,et al.  Production of heparin-containing hydrogels for modulating cell responses. , 2009, Acta biomaterialia.

[2]  Kristi S Anseth,et al.  Photoinitiated polymerization of PEG-diacrylate with lithium phenyl-2,4,6-trimethylbenzoylphosphinate: polymerization rate and cytocompatibility. , 2009, Biomaterials.

[3]  P. Doyle,et al.  Static and dynamic errors in particle tracking microrheology. , 2005, Biophysical journal.

[4]  Thomas G. Mason,et al.  Estimating the viscoelastic moduli of complex fluids using the generalized Stokes–Einstein equation , 2000 .

[5]  Christopher N. Bowman,et al.  A Statistical Kinetic Model for the Bulk Degradation of PLA-b-PEG-b-PLA Hydrogel Networks: Incorporating Network Non-Idealities , 2001 .

[6]  A. Metters,et al.  A Statistical Kinetic Model for the Bulk Degradation of PLA-b-PEG-b-PLA Hydrogel Networks , 2000 .

[7]  A. Donald,et al.  Passive microrheology of solvent-induced fibrillar protein networks. , 2009, Langmuir.

[8]  K. Murayama,et al.  Enhancement of the Structural Stability of Full-Length Clostridial Collagenase by Calcium Ions , 2012, Applied and Environmental Microbiology.

[9]  H. Winter,et al.  COMPOSITION DEPENDENCE OF THE VISCOELASTICITY OF END-LINKED POLY(DIMETHYLSILOXANE) AT THE GEL POINT , 1991 .

[10]  Kristi S Anseth,et al.  Manipulations in hydrogel degradation behavior enhance osteoblast function and mineralized tissue formation. , 2006, Tissue engineering.

[11]  K. Anseth,et al.  A synthetic strategy for mimicking the extracellular matrix provides new insight about tumor cell migration. , 2010, Integrative biology : quantitative biosciences from nano to macro.

[12]  Chan Joong Kim,et al.  Noninvasive probing of the spatial organization of polymer chains in hydrogels using fluorescence resonance energy transfer (FRET). , 2007, Journal of the American Chemical Society.

[13]  Stephanie J Bryant,et al.  Controlling the spatial distribution of ECM components in degradable PEG hydrogels for tissue engineering cartilage. , 2003, Journal of biomedical materials research. Part A.

[14]  Ralph Müller,et al.  Repair of bone defects using synthetic mimetics of collagenous extracellular matrices , 2003, Nature Biotechnology.

[15]  J. Hubbell,et al.  Mechanisms of 3-D migration and matrix remodeling of fibroblasts within artificial ECMs. , 2007, Acta biomaterialia.

[16]  P. Doyle,et al.  Size dependence of microprobe dynamics during gelation of a discotic colloidal clay , 2011 .

[17]  Aaron D Baldwin,et al.  Production of heparin-functionalized hydrogels for the development of responsive and controlled growth factor delivery systems. , 2007, Journal of controlled release : official journal of the Controlled Release Society.

[18]  Kristi S Anseth,et al.  Effects of PEG hydrogel crosslinking density on protein diffusion and encapsulated islet survival and function. , 2009, Journal of biomedical materials research. Part A.

[19]  A. Metters,et al.  Synthetic matrix metalloproteinase-sensitive hydrogels for the conduction of tissue regeneration: Engineering cell-invasion characteristics , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[20]  P. Janmey,et al.  Tissue Cells Feel and Respond to the Stiffness of Their Substrate , 2005, Science.

[21]  J. Fredberg,et al.  Collective cell guidance by cooperative intercellular forces , 2010, Nature materials.

[22]  Sami Alom Ruiz,et al.  Mechanical tugging force regulates the size of cell–cell junctions , 2010, Proceedings of the National Academy of Sciences.

[23]  Eric M Furst,et al.  Microrheology of the liquid-solid transition during gelation. , 2008, Physical review letters.

[24]  H. Winter Can the gel point of a cross-linking polymer be detected by the G′ – G″ crossover? , 1987 .

[25]  K. Kiick Peptide- and protein-mediated assembly of heparinized hydrogels. , 2008, Soft matter.

[26]  I. Mandl,et al.  Isolation and characterization of proteinase and collagenase from Cl. histolyticum. , 1953 .

[27]  Kelly M Schultz,et al.  Gelation of Covalently Cross-Linked PEG-Heparin Hydrogels. , 2009, Macromolecules.

[28]  Dietrich Stauffer,et al.  Gelation and critical phenomena , 1982 .

[29]  T. Waigh Microrheology of complex fluids , 2005 .

[30]  J. Hubbell,et al.  Molecularly engineered PEG hydrogels: a novel model system for proteolytically mediated cell migration. , 2005, Biophysical journal.

[31]  Kristi S Anseth,et al.  Characterization of valvular interstitial cell function in three dimensional matrix metalloproteinase degradable PEG hydrogels. , 2009, Biomaterials.

[32]  M. Moo‐Young,et al.  Enzymatic breakdown of water insoluble substrates , 1975 .

[33]  Kristi S. Anseth,et al.  Fundamental studies of a novel, biodegradable PEG-b-PLA hydrogel , 2000 .

[34]  J. Hubbell,et al.  Development of fibrin derivatives for controlled release of heparin-binding growth factors. , 2000, Journal of controlled release : official journal of the Controlled Release Society.

[35]  Kristi S. Anseth,et al.  Exogenously triggered, enzymatic degradation of photopolymerized hydrogels with polycaprolactone subunits: experimental observation and modeling of mass loss behavior. , 2006, Biomacromolecules.

[36]  Kristi S Anseth,et al.  Mechanical Properties of Cellularly Responsive Hydrogels and Their Experimental Determination , 2010, Advanced materials.

[37]  Denis Wirtz,et al.  Mapping local matrix remodeling induced by a migrating tumor cell using three-dimensional multiple-particle tracking. , 2008, Biophysical journal.

[38]  A. Donald,et al.  Particle tracking microrheology of gel-forming amyloid fibril networks , 2009, The European physical journal. E, Soft matter.

[39]  D A Weitz,et al.  Investigating the microenvironments of inhomogeneous soft materials with multiple particle tracking. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  H. Henning Winter,et al.  Analysis of Linear Viscoelasticity of a Crosslinking Polymer at the Gel Point , 1986 .

[41]  Jennifer L West,et al.  Poly(ethylene glycol) hydrogels conjugated with a collagenase-sensitive fluorogenic substrate to visualize collagenase activity during three-dimensional cell migration. , 2007, Biomaterials.

[42]  Yu Cheng,et al.  Enzymatic degradation of guar and substituted guar galactomannans. , 2000, Biomacromolecules.

[43]  Mártin,et al.  Viscoelasticity near the sol-gel transition. , 1989, Physical review. A, General physics.

[44]  Walter H. Stockmayer,et al.  Theory of Molecular Size Distribution and Gel Formation in Branched‐Chain Polymers , 1943 .

[45]  P. Flory Constitution of Three-dimensional Polymers and the Theory of Gelation. , 1942 .

[46]  Denis Wirtz,et al.  Particle Tracking Microrheology of Complex Fluids , 1997 .

[47]  Kenneth S. Breuer,et al.  Microscale Diagnostic Techniques , 2005 .

[48]  D. Grier,et al.  Methods of Digital Video Microscopy for Colloidal Studies , 1996 .

[49]  Kelly M. Schultz,et al.  Microrheology of biomaterial hydrogelators , 2012 .

[50]  H. Winter,et al.  Linear Viscoelasticity at the Gel Point of a Crosslinking PDMS with Imbalanced Stoichiometry , 1987 .

[51]  K. Anseth,et al.  Synthetic hydrogel niches that promote hMSC viability. , 2005, Matrix biology : journal of the International Society for Matrix Biology.

[52]  J. West,et al.  Cell migration through defined, synthetic extracellular matrix analogues , 2002, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[53]  Jeffrey A. Hubbell,et al.  Polymeric biomaterials with degradation sites for proteases involved in cell migration , 1999 .

[54]  Kelly M. Schultz,et al.  Measuring the modulus and reverse percolation transition of a degrading hydrogel. , 2012, ACS macro letters.

[55]  S. Sen,et al.  Matrix Elasticity Directs Stem Cell Lineage Specification , 2006, Cell.

[56]  K. Anseth,et al.  Poly(ethylene glycol) hydrogels formed by thiol-ene photopolymerization for enzyme-responsive protein delivery. , 2009, Biomaterials.

[57]  A. Panitch,et al.  Viscoelastic Behavior of Environmentally Sensitive Biomimetic Polymer Matrices , 2006 .

[58]  T. C. B. McLeish,et al.  Polymer Physics , 2009, Encyclopedia of Complexity and Systems Science.

[59]  David A Weitz,et al.  Dealing with mechanics: mechanisms of force transduction in cells. , 2004, Trends in biochemical sciences.

[60]  A. Metters,et al.  A Generalized Bulk-Degradation Model for Hydrogel Networks Formed from Multivinyl Cross-linking Molecules , 2001 .

[61]  James E. Martin,et al.  Time-cure superposition during crosslinking , 1990 .

[62]  Kristi S Anseth,et al.  Encapsulating chondrocytes in copolymer gels: bimodal degradation kinetics influence cell phenotype and extracellular matrix development. , 2004, Journal of biomedical materials research. Part A.

[63]  S. Bryant,et al.  Hydrogel properties influence ECM production by chondrocytes photoencapsulated in poly(ethylene glycol) hydrogels. , 2002, Journal of biomedical materials research.

[64]  Paul J. Flory,et al.  Molecular Size Distribution in Three Dimensional Polymers. I. Gelation1 , 1941 .

[65]  J. Hubbell,et al.  Enhanced proteolytic degradation of molecularly engineered PEG hydrogels in response to MMP-1 and MMP-2. , 2010, Biomaterials.

[66]  M. Daoud Vulcanization and critical exponents , 1979 .