Abstract
A large range of biodegradable polymers are used to produce scaffolds for tissue engineering, which temporarily replace the biomechanical functions of a biologic tissue while it progressively regenerates its capacities. However, the mechanical behavior of biodegradable materials during its degradation, which is an important aspect of the scaffold design, is still an unexplored subject. For a biodegradable scaffold, performance will decrease along its degradation, ideally in accordance to the regeneration of the biologic tissue, avoiding the stress shielding effect or the premature rupture. In this chapter, a new numerical approach to predict the mechanical behavior of complex 3D scaffolds during degradation time (the 4th dimension) is presented. The degradation of mechanical properties should ideally be compatible to the tissue regeneration. With this new approach, an iterative process of optimization is possible to achieve an ideal solution in terms of mechanical behavior and degradation time. The scaffold can therefore be pre-validated in terms of functional compatibility. An example of application of this approach is demonstrated at the end of this chapter.
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References
Aslan S, Calandrelli L, Laurienzo P, Malinconico M, Migliares C (2000) Poly(d,l-lactic ac-id)/poly(caprolactone) blend membranes: preparation and morphological characterization. J Mater Sci 35:1615–1622
Auras R, Harte B, Selke S (2004) An overview of polylactides as packaging materials. Macromol Biosci 4:835–864
Bastin G, Dochain D (1990) On-line estimation and adaptative control of bioreactor. Elsevier, Amsterdam
Bellenger V, Ganem M, Mortaigne B, Verdu J (1995) Lifetime prediction in the hydrolytic age-ing of polyesters. Polym Degrad Stab 49:91–97
Bikiaris D, Papageorgiou G, Achilias D, Pavlidou E, Stergiou A (2007) Miscibility and enzymatic degradation studies of poly(e-caprolactone)/poly(propylene succinate) blends. Eur Polym J 43:2491–2503
Chen G-Q, Wu Q (2005) Review: the application of polyhydroxyalkanoates as tissue engineering materials. Biomaterials 26:6565–6578
Chu CC (1985) Strain-accelerated hydrolytic degradation of synthetic absorbable sutures. In: Hall CW (ed) Surgical research, recent developments: proceedings of the first annual scientific session of the Academy of Surgical Research. Pergamon Press, San Antonio
Colombo A, Karvouni E (2000) Biodegradable stents: fulfilling the mission and stepping away. Circulation 102:371–373
Endo M, Aida T, Inoue A (1987) Immortal polymerization of e-caprolactone initiated by aluminum porphyrin in the presence of alcohol. Macromolecules 20:2982–2988
Fan LT, Lee Y (1983) Kinetic studies of enzymatic hydrolysis of insoluble cellulose: derivation of a mechanistic kinetic model. Biotechnol Bioeng 25:2707–2733
Fan LT, Lee Y, Beardmore DH (1980) Major chemical and physical features of cellulosic materials as substrates for enzymatic hydrolysis. Adv Biochem Eng 14:101–117
Farrar DF, Gilson RK (2002) Hydrolytic degradation of polyglyconate B: the relationship between degradation time, strength and molecular weight. Biomaterials 23:3905–3912
Garlotta DA (2001) Literature review of poly(latic acid). J Polym Environ 9:63–84
Göpferich A (1996) Mechanisms of polymer degradation and erosion. Biomaterials 17:103–114
Göpferich A, Langer R (1993) Modeling of polymer erosion. Macromolecules 26:4105–4112
Grizzi I, Garreau H, Li S, Vert M (1995) Hydrolytic degradation of devices based on poly[DL-lactic acid size-dependence. Biomaterials 16:305–311
Han X, Pan J (2009) A model for simultaneous crystallization and biodegradation of biodegradable polymers. Biomaterials 30:423–430
Herzog K, Müller R-J, Deckwer W-D (2006) Mechanism and kinetics of the enzymatic hydrolysis of polyester nanoparticles by lipases. Polym Degrad Stab 91:2486–2498
Hill CG (1977) An introduction to chemical engineering kinetics and reactor design. Wiley, New York
Kennedy JF, Melo EHM (1990) Bioconversions of cellulose—a major source of material for the biochemical industry. Br Polym J 23:193–198
Kirby AJ (1972) Hydrolysis and formation of esters of organic acids. In: Bamford CH, Tipper CFH (eds) Comprehensive chemical kinetics, ester formation and hydrolysis and related reactions. Elsevier, Amsterdam
Klyosov AA, Rabinowitch M (1980) Enzymatic conversion of cellulose to glucose: present state of the art and potential. Plenum Press, New York
Krynauw H, Bruchmüller L, Bezuidenhout D, Zilla P, Franz T (2011) Constitutive modelling of degradation induced mechanical changes in a polyester-urethane scaffold for soft tissue regeneration. In: Fernandes PR et al. (eds) Proceedings of II international conference on tissue engineering. Lisbon
Levenberg S, Langer R (2004) Advances in tissue engineering. In: Schatten GP (ed) Current topics in developemental biology. Elsevier, San Diego
Li SM, Garreau H, Vert M (1990) Structure-property relationships in the case of the degradation of massive aliphatic poly(α-hydroxyacids) in aqueous media. Part 3: Influence of the morphology of poly(L-lactic acid). J Mater Sci, Mater Med 1:198–206
Lunt J (1998) Large-scale production, properties and applications of polylatic acid polymers. Polym Degrad Stab 59:145–152
Lyu SP, Sparer R, Untereker D (2005) Analytical solutions to mathematical models of the surface and bulk erosion of solid polymers. J Polym Sci, Part B 43:383–397
Meek M, Jansen K, Steendam R, van Oeveren W, van Wachem P, van Luyn M (2004) In vitro degradation and biocompatibility of poly(DL-lactide-ε-caprolactone) nerve guides. J Biomed Mater Res, Part A 68:43–51
Metzmacher I, Radu F, Bause M, Knabner P, Friess W (2007) A model describing the effect of enzymatic degradation on drug release from collagen minirods. Eur J Pharm Biopharm 67:349–360
Miller ND, Williams DF (1984) The in vivo and in vitro degradation of poly(glycolic acid) suture material as a function of applied strain. Biomaterials 5:365–368
Morrison RT, Boyd RN (1992) Organic chemistry. Prentice Hall, New Jersey
Nair LS, Laurencin CT (2007) Biodegradable polymers as biomaterials. Prog Polym Sci 32:762–798
Nikolic MS, Poleti D, Djonlagic J (2003) Synthesis and characterization of biodegradable poly(butylene succinate-co-butylene fumarate)s. Eur Polym J 39:2183–2192
Pitt GG, Gratzl MM, Kimmel GL, Surles J, Sohindler A (1982) Aliphatic polyesters II. The degradation of poly(d,l-lactide), poly(e-caprolactone), and their copolymers in vivo. Biomaterials 2:215–220
Saha SK, Tsuji H (2009) Enhanced crystallization of poly(L lactide-co-ε caprolactone) in the presence of water. J Appl Polym Sci 112:715–720
Seretoudi G, Bikiaris D, Panayiotou C (2002) Synthesis, characterization and biodegradability of poly(ethylene succinate)/poly(e-caprolactone) block copolymers. Polymer 43:5405–5415
Shen-Guo W, Bo Q (1992) Polycaprolactone–poly(ethylene glycol) block copolymer, I: Synthesis and degradability in vitro. Polym Adv Technol 4:363–368
Siparsky GL, Voorhees KJ, Miao F (1998) Hydrolysis of polylactic acid (PLA) and polycaprolactone (PCL) in aqueous acetonitrile solutions: autocatalysis. J Environ Polym Degrad 6:31–41
Soares JS, Rajagopal KR, Moore JE (2010) Deformation induced hydrolysis of a degradable polymeric cylindrical annulus. Biomech Model Mechanobiol 9:177–186
Södergard A, Stolt M (2002) Properties of lactic acid based polymers and their correlation with composition. Prog Polym Sci 27:1123–1163
Sykes P (1975) A guidebook to mechanism in organic chemistry. Longman, London
Tamela TL, Talja M (2003) Biodegradable urethral stents. BJU Int 92:843–850
Therin M, Christel P, Li SM, Garreau H, Vert M (1992) In vivo degradation of massive poly(a-hydroxyacids): validation of in vitro findings. Biomaterials 13:594–600
Tokiwa Y, Suzuki T (1977) Hydrolysis of polyesters by lipase. Nature 270:76–78
Tsuji H, Ikada Y (1998) Properties and morphology of poly(L-lactide). II. Hydrolysis in alkaline solution. J Polym Sci, Part A 36:59–66
Tsuji H, Ikada Y (2000) Properties and morphology of poly(L-lactide) 4. Effects of structural parameters on long-term hydrolysis of poly(L-lactide) in phosphate-buffered solution. Polym Degrad Stab 67:179–189
Tsuji H, Nakahara K (2001) Poly(L-lactide)—IX hydrolysis in acid media. J Appl Polym Sci 86:186–194
Tzafriri AR, Bercovier M, Parnas H (2002) Reaction diffusion model of enzymatic erosion of insoluble fibrillar matrices. Biophys J 83:776–793
Van Krevelen DW (1976) Properties of polymers. Elsevier, Amsterdam
Vert M, Li S, Garreau H (1991) More about the degradation of LA/GA-derived matrices in aqueous media. J Control Release 16:15–26
Vieira AC, Guedes RM, Marques AT (2009) Development of ligament tissue biodegradable devices: a review. J Biomech 42:2421–2430
Vieira AC, Marques AT, Guedes RM, Tita V (2011) Material model proposal for biodegrada-ble materials. Proc Eng 10:1597–1602
Vieira AC, Vieira JC, Ferra JM, Magalhães FD, Guedes RM, Marques AT (2011) Mechanical study of PLA–PCL fibres during in vitro degradation. J Mech Behav Biomed 4:451–460
von Burkersroda F, Schedl L, Göpferich A (2002) Why biodegradable polymers undergo surface or bulk erosion. Biomaterials 23:4221–4231
Walker LP, Wilson DB (1991) Enzymatic hydrolysis of cellulose: an overview. Bioresour Technol 36:3–14
Wang Y, Pan J, Han X, Sinka C, Ding L (2008) A phenomenological model for the degradation of biodegradable polymers. Biomaterials 29:3393–3401
Ward I (1983) Mechanical properties of solid polymers. Wiley, Chichester
Yu R, Chen H, Chen T, Zhou X (2008) Modeling and simulation of drug release from multi-layer biodegradable polymer microstructure in three dimensions. Simul Model Pract Theory 16:15–25
Zhang X, Espiritu M, Bilyk A, Kurniawan L (2008) Morphological behaviour of poly(lactic acid) during hydrolytic degradation. Polym Degrad Stab 93:1964–1970
Acknowledgements
The authors Vieira A. and Guedes R.M. would like to thank the FCT (Portuguese Science and Technology Foundation) for financial support under the grants PTDC/EME-PME/70155/2006 and PTDC/EME-PME/114808/2009. Tita V. would like to thank FAPESP (Research Foundation of State of São Paulo) for financial support under the grant 09/00544-5. The authors would like to highlight that this work was also partially supported by the Program USP/UP, which is a scientific cooperation agreement established between the University of Porto (Portugal) and the University of São Paulo (Brazil).
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Vieira, A.C., Marques, A.T., Guedes, R.M., Tita, V. (2014). 4D Numerical Analysis of Scaffolds: A New Approach. In: Fernandes, P., Bartolo, P. (eds) Tissue Engineering. Computational Methods in Applied Sciences, vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7073-7_4
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DOI: https://doi.org/10.1007/978-94-007-7073-7_4
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