Prediction of the intramembranous tissue formation during perisprosthetic healing with uncertainties. Part 2. Global clinical healing due to combination of random sources

Abstract

This work proposes to examine the variability of the bone tissue healing process in the early period after the implantation surgery. The first part took into account the effect of variability of individual biochemical factors on the solid phase fraction, which is an indicator of the quality of the primary fixation and condition of its long-term behaviour. The next issue, addressed in this second part, is the effect of cumulative sources of uncertainties on the same problem of a canine implant. This paper is concerned with the ability to increase the number of random parameters to assess the coupled influence of those variabilities on the tissue healing. To avoid an excessive increase in the complexity of the numerical modelling and further, to maintain efficiency in computational cost, a collocation-based polynomial chaos expansion approach is implemented. A progressive set of simulations with an increasing number of sources of uncertainty is performed. This information is helpful for future implant design and decision process for the implantation surgical act.

Keywords:

• Implant fixation
• stochastic model
• combined uncertainties
• collocation-based polynomial chaos expansion
• biomechanics

Acknowledgements

This work was completed thanks to J. E. Bechtold PhD (Departments of Orthopaedic Surgery, Mechanical and Biomedical Engineering, University of Minnesota USA) and K. Søballe MD, PhD (University Hospital of Aarhus, Denmark). Experimental studies were conducted with the support of NIH USA (AR 42051). B. Faverjon gratefully acknowledges the French Education Ministry, University of Lyon, CNRS, INSA of Lyon and LabEx iMUST for the CRCT and the out mobility grant.

Notes

No potential conflict of interest was reported by the authors.