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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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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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