Cited by 191biodegradable polymer synthesis and propertiesMagnesium Alloys: Properties and ApplicationsOrthopaedic implants and arthroplasty

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A phenomenological model for the degradation of biodegradable polymers

Wang, Ying, Pan, Jingzhe, Han, Xiaoxiao, Sinka, Csaba, Ding, Lifeng·2008·Biomaterials

DOI 10.1016/j.biomaterials.2008.04.042

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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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Authors: Wang, Y., Pan, J., Han, X., Sinka, C., & Ding, L.
Affiliations: University of Leicester (GB)
Corresponding author: Pan, Jingzhe
ORCID: Wang, Ying
Han, Xiaoxiao
Ding, Lifeng
Venue: Biomaterials
Publisher: Elsevier BV
Published: 2008-08
Volume: 29
Issue: 23
Pages: 3393-3401
ISSN: 0142-9612 (ISSN-L)
DOI: 10.1016/j.biomaterials.2008.04.042
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
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
www.elsevier.com/legal/tdmrep-license (tdm)
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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A phenomenological model for the degradation of biodegradable polymers

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