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

A phenomenological model for the degradation of biodegradable polymers

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

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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Registry

Crossref · 10.1016/j.biomaterials.2008.04.042

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23 of 23 references verified0 citation errors · 0 not checkable

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  • The rapid decrease in molecular weight is explained by the highest concentration of ester bonds per volume unit leading to a greater ability of long chains to be hydrolysed.

    “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).”

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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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