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A continuous latent spatial model for crack initiation in bone cement
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Heron, Elizabeth A. and Walsh, Cathal D. (2008) A continuous latent spatial model for crack initiation in bone cement. Royal Statistical Society. Journal. Series C: Applied Statistics, Volume 57 (Part 1). pp. 25-42. doi:10.1111/j.1467-9876.2007.00598.x ISSN 0035-9254.
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Official URL: http://dx.doi.org/10.1111/j.1467-9876.2007.00598.x
Abstract
Hip replacements rovide a means of achieving a higher quality of life for individuals who have, through aging or injury, accumulated damage to their natural joints. This is a very common operation, with over a million people a year benefiting from the procedure. The replacements themselves fail mainly as a result of the mechanical loosening of the components of the artificial joint due to damage accumulation. This damage accumulation consists of the initiation and growth of cracks in the bone cement which is used to fixate the replacement in the human body. The data come from laboratory experiments that are designed to assess the effectiveness of the bone cement in resisting damage. We examine the properties of the bone cement, with the aim being to estimate the effect that both observable and unobservable spatially varying factors have on causing crack initiation. To do this, an explicit model for the damage process is constructed taking into account the tension and compression at different locations in the specimens. A gamma random field is used to model any latent spatial factors that may be influential in crack initiation. Bayesian inference is carried out for the parameters of this field and related covariates by using Markov chain Monte Carlo techniques.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
| Library of Congress Subject Headings (LCSH): | Bone cement -- Cracking, Random fields, Poisson processes, Algorithms, Probability measures | ||||
| Journal or Publication Title: | Royal Statistical Society. Journal. Series C: Applied Statistics | ||||
| Publisher: | Wiley-Blackwell Publishing Ltd. | ||||
| ISSN: | 0035-9254 | ||||
| Official Date: | 2008 | ||||
| Dates: |
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| Volume: | Volume 57 | ||||
| Number: | Part 1 | ||||
| Number of Pages: | 18 | ||||
| Page Range: | pp. 25-42 | ||||
| DOI: | 10.1111/j.1467-9876.2007.00598.x | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Trinity College (Dublin, Ireland), Irish Research Council for Science, Engineering and Technology (IRCSET) | ||||
| Grant number: | SC/02/187 (IRCSET) |
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