Prediction of the intramembranous tissue formation during perisprosthetic healing with uncertainties. Part 1. Effect of the variability of each biochemical factor

Abstract

A stochastic model is proposed to predict the intramembranous process in periprosthetic healing in the early post-operative period. The methodology was validated by a canine experimental model. In this first part, the effects of each individual uncertain biochemical factor on the bone-implant healing are examined, including the coefficient of osteoid synthesis, the coefficients of haptotactic and chemotactic migration of osteoblastic population and the radius of the drill hole. A multi-phase reactive model solved by an explicit finite difference scheme is combined with the polynomial chaos expansion to solve the stochastic system. In the second part, combined biochemical factors are considered to study a real configuration of clinical acts.

Keywords:

• Implant fixation
• stochastic model
• polynomial chaos expansion
• biomechanics

Acknowledgements

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. The authors wish to thank J. E. Bechtold PhD (Departments of Orthopaedic Surgery, Mechanical and Biomedical Engineering, University of Minnesota USA) and K. Soballe MD, PhD (University Hospital of Aarhus, Denmark) for the experimental studies (NIH USA AR 42051).

Notes

No potential conflict of interest was reported by the authors.