Triphasic mixture model of cell-mediated enzymatic degradation of hydrogels

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 15, Issue 11, 2012, Pages 1197-1210

  Vernerey, Franck J ^a   Greenwald, Eric C ^a   Bryant, Stephanie J ^a  

^a UCB 450   (United States)

Author keywords

hydrogel degradation; multiphasic model; tissue engineering

Indexed keywords

CRITICAL COMPONENT; DEGRADATION KINETICS; ENZYMATIC DEGRADATION; ENZYME CONCENTRATIONS; EXPERIMENTAL OBSERVATION; GOVERNING EQUATIONS; HYDROGEL DEGRADATION; KINETICS OF DEGRADATION; LIVING TISSUE EQUIVALENTS; MICHAELIS-MENTON KINETICS; MIXTURE MODEL; MIXTURE THEORY; NONLINEAR FINITE ELEMENT PROCEDURE; NONLINEAR PROCESS; RUBBER ELASTICITY THEORY; SOLID POLYMERS; STRONG COUPLING; TEMPORAL AND SPATIAL CHANGES; TISSUE DEVELOPMENT; TWO-REGIME;

BIOMECHANICS; CELL ENGINEERING; CELLS; CYTOLOGY; DEGRADATION; ELASTICITY; ENZYMES; KINETICS; MIXTURES; REACTION KINETICS; SCAFFOLDS (BIOLOGY); TISSUE; TISSUE ENGINEERING;

HYDROGELS;

ENZYME; MACROGOL DERIVATIVE; TISSUE SCAFFOLD;

ARTICLE; BIODEGRADABLE IMPLANT; BIOLOGICAL MODEL; BIOMECHANICS; CELLS; CHEMISTRY; COMPUTER SIMULATION; ELASTICITY; ENZYMOLOGY; FINITE ELEMENT ANALYSIS; HYDROGEL; KINETICS; METABOLISM; NONLINEAR SYSTEM; PHYSIOLOGY; TISSUE ENGINEERING;

ABSORBABLE IMPLANTS; BIOMECHANICS; CELLS; COMPUTER SIMULATION; ELASTICITY; ENZYMES; FINITE ELEMENT ANALYSIS; HYDROGELS; KINETICS; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; POLYETHYLENE GLYCOLS; TISSUE ENGINEERING; TISSUE SCAFFOLDS;

EID: 84868704507     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255842.2011.585973     Document Type: Article

References (41)

1. Anseth, KS, Bowman, CN and Brannon-Peppas, L. 1996. Review: mechanical properties of hydrogels and their experimental determination. Biomaterials, 17: 1647-1657.
2. Bell, CL and Peppas, NA. 1995. Biomedical membranes from hydrogels and interpolymer complexes. Adv Polym Sci., 122: 125-175.
3. Biot, MA. 1941. General theory of three-dimensional consolidation. J Appl Phys, 12: 155-164.
4. Biot, MA. 1957. The elastic coefficients of the theory of consolidation. J Astrophys Astron, 24: 594-601.
5. Bowen, RM. 1980. Incompressible porous media models by the use of the theory of mixtures. Int J Eng Sci, 18: 1129-1148.
6. Bryant, SJ and Anseth, KS. 2003. Controlling the spatial distribution of ECM components in degradable peg hydrogels for tissue engineering cartilage. J Biomed Mater Res, 64A(1): 70-79.
7. Bryant, SJ, Bender, RJ, Durand, KL and Anseth, KS. 2004a. Encapsulating chondrocytes in degrading peg hydrogels with high modulus: engineering gel structural changes to facilitate cartilaginous tissue production. Biotechnol Bioeng, 86(7): 747-755.
8. Bryant, SJ and Anseth, KS. 2001. Hydrogel properties influence ECM production by chondrocyte photoencapsulated in poly(ethylene glycol) hydrogels. J Biomed Mater Res, 59: 63-72.
9. Bryant, SJ, Chowdhury, TT, Lee, DA, Bader, DL and Anseth, KS. 2004b. Crosslinking density influences chondrocyte metabolism in dynamically loaded photocrosslinked poly(ethylene glycol) hydrogels. Ann Biomed Eng, 32: 1143-1149.
10. Chandrupatla, T and Belegundu, A. 2002. Introduction to finite elements in engineering, 3rd ed., Upper Saddle River, NJ: Prentice Hall.
11. Chen, EI, Kridel, SJ, Howard, EW, Li, W, Godzik, A and Smith, JW. 2002. A unique substrate recognition profile for matrix metalloproteinase-2. J Biol Chem, 277(6): 4485-4491.
12. Elisseeff, J, Anseth, K, Sims, D, McIntosh, W, Randolph, M and Langer, R. 1999. Transdermal photopolymerization for minimally invasive implantation. Proc Natl Acad Sci USA, 96(6): 3104-3107.
13. Fahmi, H, DiBattista, JA, Pelletier, J, Mineau, F, Ranger, P and Martel-Pelletier, J. 2001. Peroxisome proliferator-activated receptor γ activators inhibit interlukin-1β-induced nitric oxide and matrix metalloproteinase 13 production in human chondrocytes. Arthritis Rheumatism, 44: 596-607.
14. Flory, PJ. 1941. Thermodynamics of high polymer solutions. J Chem Phys., 9(8): 660
15. Gobin, AS and West, JL. 2002. Cell migration through defined, synthetic extracellular matrix analogues. FASEB J, 16(3): 751-753.
16. Gu, WY, Lai, WM and Mow, VC. 1999. Transport of multi-electrolytes in charged hydrated biological soft tissues. Transport Porous Med, 34: 143-157.
17. Holmes, MH and Mow, VC. 1990. The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. J Biomech, 23: 1145-1156.
18. Horkay, F, Tasaki, I and Basser, PJ. 2000. Osmotic swelling of polyacrylate hydrogels in physiological salt solutions. Biomacromolecules, 1(1): 84-90.
19. Kim, J, Park, Y, Tae, G, Lee, KB, Hwang, SJ, Kim, IS, Noh, I and Sun, K. 2008. Synthesis and characterization of matrix metalloprotease sensitive-low molecular weight hyaluronic acid based hydrogels. J Mater Sci Mater Med, 19(11): 3311-3318.
20. Kraehenbuehl, TP, Zammaretti, P, Van der Vlies, AJ, Schoenmakers, RG, Lutolf, MP, Jaconi, ME and Hubbell, JA. 2008. Three-dimensional extracellular matrix-directed cardioprogenitor differentiation: Systematic modulation of a synthetic cell-responsive peg-hydrogel. Biomaterials, 29(18): 2757-2766.
21. Lee, SH, Moon, JJ, Miller, JS and West, JL. 2007. Poly(ethylene glycol) hydrogels conjugated with a collagenase-sensitive fluorogenic substrate to visualize collagenase activity during three-dimensional cell migration. Biomaterials, 28(20): 3163-3170.
22. Levesque, SG and Shoichet, MS. 2007. Synthesis of enzyme-degradable, peptide-cross-linked dextran hydrogels. Bioconjugate Chem., 18: 874-885.
23. Lustig, SR and Peppas, NA. 1988. Solute diffusion in swollen membranes. IX. Scaling laws for solute diffusion in gels. J. Appl. Polym. Sci, 36: 735-747.
24. Lutolf, MP and Hubbell, JA. 2005. Synthetic biomaterials as instructive extracellular microenvironments for morphogenesis in tissue engineering. Nature Biotechnol, 23(1): 47-55.
25. Lutolf, MP, Lauer-Fields, JL, Schmoekel, HG, Metters, AT, Weber, FE, Fields, GB and Hubbell, JA. 2003. Synthetic matrix metalloproteinase-sensitive hydrogels for the conduction of tissue regeneration: engineering cell-invasion characteristics. PNAS, 100: 5413-5418.
26. Martens, P and Anseth, KS. 2000. Characterization of hydrogels formed from acrylate modified poly(vinyl alcohol) macromers. Polymer, 41(21): 7715-7722.
27. Metters, AT, Bowman, CN and Anseth, KS. 2000. A statistical kinetic model for the bulk degradation of PLA-b-PEG-b-PLA hydrogel networks. J Phys Chem B., 104: 7043-7049.
28. Merrill, EW, Dennison, KA and Sung, C. 1993. Partitioning and diffusion of solutes in hydrogels of poly(ethylene oxide). Biomaterials, 14: 1117-1126.
29. Nicodemus, GD and Bryant, SJ. 2008. The role of hydrogel structure and dynamic loading on chondrocyte gene expression and matrix formation. J Biomech, 41: 1528-1536.
30. Park, Y, Lutolf, MP, Hubbell, JA, Hunziker, EB and Wong, M. 2004. Bovine primary chondrocyte culture in synthetic matrix metalloproteinase-sensitive poly(ethylene glycol)-based hydrogels as a scaffold for cartilage repair. Tissue Eng, 10(3-4): 515-522.
31. Peppas, NA and Barr-Howell, BD. 1986. "Characterization of the cross-linked structure of hydrogels". In Hydrogels in medicine and pharmacy, Boca Raton, FL: CRC Press.
32. Rice, MA, Sanchez-Adams, J and Anseth, KS. 2006. Exogenously triggered, enzymatic degradation of photopolymerized hydrogels with polycaprolactone subunits: experimental observation and modeling of mass loss behavior. Biomacromolecules, 7: 1968-1975.
33. Sengers, BG, Donkelaar, CCV, Oomens, CWJ and Baaijens, FPT. 2004a. The local matrix distribution and the functional development of tissue engineered cartilage, a finite element study. Ann Biomed Eng, 32: 1718-1727.
34. Sengers, BG, Oomens, CWJ and Baaijens, FPT. 2004b. An integrated finite-element approach to mechanics, transport and biosynthesis in tissue engineering. J Biomech Eng, 126: 82-91.
35. Shu, XZ, Liu, YC and Prestwich, GD. 2006. Osteochondral defect repair with autologous bone marrow-derived mesenchymal stem cells in an injectable, in situ, cross-linked synthetic extracellular matrix. Tissue Eng, 12(12): 3405-3416.
36. Sun, DN, Gu, WY, Guo, XE, Lai, WM and Mow, VC. 1999. A mixed finite element formulation of triphasic mechano-electromechanical theory for charged, hydrated biological soft tissues. Int J Numer Methods Eng, 45: 1375-1402.
37. Tibbitt, MW and Anseth, KS. 2009. Hydrogels as extracellular matrix mimics for 3D cell culture. Biotechnol Bioeng, 103(4): 655-663.
38. Trusdell, C and Noll, W. 1965. Non-linear field theories of mechanics, Handbuch des Physik 537-541. Berlin: Springer.
39. Vernerey, FJ, McVeigh, C, Liu, WK, Moran, B, Tewari, D, Parks, D and Olson, G. 2006. The 3-D computational modeling of shear-dominated ductile failure in steel. J Minerals Metals Mater Soc.,: 433-445.
40. Vernerey, FJ, Liu, WK and Moran, B. 2007a. Multi-scale micromorphic theory for hierarchical materials. J Mech Phys Solids, 55: 2603-2651.
41. Vernerey, FJ, Liu, WK, Moran, B and Olson, G. 2007b. A micromorphic model for the multiple scale failure of heterogeneous materials. J Mech Phys Solids, 56: 1320-1347.