The DOI matches its Crossref record; 23 of the 24 references it cites were found in a registry or an index.
A phenomenological model for the degradation of biodegradable polymers
Abstract
This paper presents a phenomenological diffusion-reaction model for the biodegradation of biodegradable polymers. The biodegradation process is modelled using a set of simplified reaction-diffusion equations. These partial differential equations are non-dimensionalised giving two normalised parameters which control the interplay between the hydrolysis reaction and the monomer diffusion. The equations are firstly solved for simple cases of plates and pins. The numerical results are presented in the form of biodegradation maps which show the conditions where the biodegradation is controlled by auto-catalysed hydrolysis, non-catalysed hydrolysis, a combination of auto-catalysed and non-catalysed hydrolyses, or a combination of hydrolysis and monomer diffusion, respectively. The degradation maps provide a clear guide for the design of biodegradable fixation devices used in orthopaedic surgeries. Finally the diffusion-reaction equations are solved using the finite element method for strip and square meshes, showing how the model can be used to assist the design of sophisticated fixation devices.
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“This trend is explained by the highest concentration of ester bonds per volume unit leading to a greater ability of long chains to be hydrolysed (Wang et al., 2008).”
From Mechanical behaviour׳s evolution of a PLA-b-PEG-b-PLA triblock copolymer during hydrolytic degradation (2016) · cites this paper as Wang et al., 2008
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Cites
Kinetics of Phase Change. I General Theory
Avrami, M. (1939) · The Journal of Chemical Physics · doi:10.1063/1.1750380 · Cited by 11,417
Kinetics of Phase Change. II Transformation-Time Relations for Random Distribution of Nuclei
Avrami, M. (1940) · The Journal of Chemical Physics · doi:10.1063/1.1750631 · Cited by 9,179
Granulation, Phase Change, and Microstructure Kinetics of Phase Change. III
Avrami, M. (1941) · The Journal of Chemical Physics · doi:10.1063/1.1750872 · Cited by 6,584
Modeling of drug release from delivery systems based on hydroxypropyl methylcellulose (HPMC)
Siepmann, J. (2001) · Advanced Drug Delivery Reviews · doi:10.1016/s0169-409x(01)00112-0 · Cited by 2,618
Hydrolytic degradation of devices based on poly(DL-lactic acid) size-dependence
Grizzi, I., Garreau, H., Li, S., & Vert, M. (1995) · Biomaterials · doi:10.1016/0142-9612(95)93258-f · Cited by 895
Mathematical modeling of bioerodible, polymeric drug delivery systems
Siepmann, J. (2001) · Advanced Drug Delivery Reviews · doi:10.1016/s0169-409x(01)00116-8 · Cited by 791
Tsuji, H., & Ikada, Y. (2000) · Polymer Degradation and Stability · doi:10.1016/s0141-3910(99)00111-1 · Cited by 329
Tsuji, H. (2002) · Polymer · doi:10.1016/s0032-3861(01)00752-2 · Cited by 226
Tsuji, H. (2000) · Polymer · doi:10.1016/s0032-3861(99)00545-5 · Cited by 200
The Use of Biodegradable Plates and Screws to Stabilize Facial Fractures
Bell, R. B., & Kindsfater, C. S. (2005) · Journal of Oral and Maxillofacial Surgery · doi:10.1016/j.joms.2005.09.010 · Cited by 156
The effect of crystallinity on the deformation mechanism and bulk mechanical properties of PLLA
Renouf-Glauser, A. C., Rose, J., Farrar, D. F., & Cameron, R. E. (2005) · Biomaterials · doi:10.1016/j.biomaterials.2005.03.002 · Cited by 153 · cited 1×
“Another factor that complicates the biodegradation is that the degree of crystallinity often increases significantly during the degradation [11,12].”
BackgroundZong, X., Wang, Z., Hsiao, B. S., Chu, B., Zhou, J. J., Jamiolkowski, D. D., Muse, E., & Dormier, E. (1999) · Macromolecules · doi:10.1021/ma990630p · Cited by 141
Tsuji, H., & Muramatsu, H. (2001) · Polymer Degradation and Stability · doi:10.1016/s0141-3910(00)00192-0 · Cited by 105
Hydrolytic degradation of poly(d,l-lactide) as a function of end group: Carboxylic acid vs. hydroxyl
Wiggins, J. S., Hassan, M. K., Mauritz, K. A., & Storey, R. F. (2006) · Polymer · doi:10.1016/j.polymer.2006.01.021 · Cited by 103
Modeling monomer release from bioerodible polymers
Goepferich, A. M., & Langer, R. (1995) · Journal of Controlled Release · doi:10.1016/0168-3659(94)00064-2 · Cited by 97
In vitro hydrolysis of poly(l-lactide) crystalline residues as extended-chain crystallites
Tsuji, H., & Ikarashi, K. (2004) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2004.03.004 · Cited by 96
Zygourakis, K., & Markenscoff, P. A. (1996) · Biomaterials · doi:10.1016/0142-9612(96)85757-7 · Cited by 95
Siepmann, J., Siepmann, F., & Florence, A. T. (2006) · International Journal of Pharmaceutics · doi:10.1016/j.ijpharm.2005.07.027 · Cited by 82
Dynamics of controlled release from bioerodible matrices
Joshi, A., & Himmelstein, K. J. (1991) · Journal of Controlled Release · doi:10.1016/0168-3659(91)90067-n · Cited by 59
Inion biodegradable plates: The first century
Wood, G. D. (2005) · British Journal of Oral and Maxillofacial Surgery · doi:10.1016/j.bjoms.2005.07.026 · Cited by 51
A separation of scales homogenization analysis for the modelling of calcium leaching in concrete
Nguyen, V., Nedjar, B., Colina, H., & Torrenti, J. (2005) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2005.02.036 · Cited by 45
The use of biodegradable plates and screws to stabilize facial fractures
Bell, R. A., & Kindsfater, C. S. (2005) · International Journal of Oral and Maxillofacial Surgery · doi:10.1016/s0901-5027(05)81206-8 · Cited by 35
Editorial: Is there a need for resorbable implants or bone substitutes?
Gutwald, R., Schön, R., Gellrich, N.-C., Schramm, A. R., Schmelzeisen, R., & Pistner, H. (2002) · Injury · doi:10.1016/s0020-1383(02)00127-4 · Cited by 10
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1 of the 24 references couldn’t be matched to a known paper.
Research works printed but not linked: 1
- Siparsky, 1998, Hydrolysis of polylactic acid (PLA) and polycaprolactone (PCL) in aqueous acetonitrile solutions: autocatalysis, Journal of Environmental Polymer Degradation, 6, 31, 10.1023/A:1022826528673 · DOI
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Lifetime prediction of biodegradable polymers
Laycock, B. G., Nikolić, M., Colwell, J. M., Gauthier, E., Halley, P. J., Bottle, S. E., & George, G. A. (2017) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2017.02.004 · Cited by 678
Peppas, N. A., & Narasimhan, B. (2014) · Journal of Controlled Release · doi:10.1016/j.jconrel.2014.06.041 · Cited by 565
Xu, Y., Kim, C. S., Saylor, D. M., & Koo, D. (2016) · Journal of Biomedical Materials Research Part B Applied Biomaterials · doi:10.1002/jbm.b.33648 · Cited by 434
Versypt, A. N. F., Pack, D. W., & Braatz, R. D. (2012) · Journal of Controlled Release · doi:10.1016/j.jconrel.2012.10.015 · Cited by 355
Mechanical study of PLA–PCL fibers during in vitro degradation
Vieira, A. C., Vieira, J. C., Ferra, J. M. M., Magalhães, F. D., Guedes, R. M., & Marques, A. T. (2010) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2010.12.006 · Cited by 273
Metadata
- Authors
- Wang, Y., Pan, J., Han, X., Sinka, C., & Ding, L.
- Affiliations
- University of Leicester (GB)
- Corresponding author
- Pan, Jingzhe
- Venue
- Biomaterials
- Publisher
- Elsevier BV
- Published
- 2008-08
- Volume
- 29
- Issue
- 23
- Pages
- 3393-3401
- ISSN
- 0142-9612 (ISSN-L)
- OpenAlex
- W2095288499
- Cited by
- 191
- References
- 24
- Citations by year
- 2026: 5 · 2025: 6 · 2024: 13 · 2023: 10 · 2022: 6 · 2021: 14 · 2020: 16 · 2019: 15 · 2018: 8 · 2017: 17 · 2016: 14 · 2015: 10 · 2014: 9 · 2013: 10 · 2012: 10
- FWCI
- 4.02
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biomaterials (publishedVersion)
- PubMed (publishedVersion)
- Leicester Research Archive (University of Leicester) (submittedVersion)
- Funders
- University of Leicester
- Topics
- Physical Sciences › Materials Science › Biomaterials › biodegradable polymer synthesis and properties
- Physical Sciences › Materials Science › Biomaterials › Magnesium Alloys: Properties and Applications
- Health Sciences › Medicine › Surgery › Orthopaedic implants and arthroplasty
- Keywords
- biodegradable polymers, polymer biodegradation, reaction-diffusion systems, hydrolysis, monomer diffusion, biodegradable implants, finite element solution
- MeSH terms
- Biocompatible Materials, Bone Nails, Bone Plates, Catalysis, Diffusion, Humans, Hydrolysis, Models, Biological, Polymers, Internal Fixators, Absorbable Implants
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