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
Biomaterialsjournal_title
Biomaterialsauthors
Wang Y,Pan J,Han X,Sinka C,Ding Ldoi
10.1016/j.biomaterials.2008.04.042subject
Has Abstractpub_date
2008-08-01 00:00:00pages
3393-401issue
23eissn
0142-9612issn
1878-5905pii
S0142-9612(08)00308-6journal_volume
29pub_type
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