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.

journal_name

Biomaterials

journal_title

Biomaterials

authors

Wang Y,Pan J,Han X,Sinka C,Ding L

doi

10.1016/j.biomaterials.2008.04.042

subject

Has Abstract

pub_date

2008-08-01 00:00:00

pages

3393-401

issue

23

eissn

0142-9612

issn

1878-5905

pii

S0142-9612(08)00308-6

journal_volume

29

pub_type

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