Parametric sensitivity analysis applied to a specific one-dimensional internal bone remodelling problem

The relative importance of the various parameters in inducing bone mass loss and osteoclastic perforations is still controversial. Therefore, there is a significant motivation to better understand the parameters behind such dynamic response, and great interest to carry out a parametric sensitivity study as it can provide useful information. As an application, the widely-accepted bone remodelling equation [M.G. Mullender, R. Huiskes, H. Weinans, A physiological approach to the simulation of bone remodeling as self organizational control process, J. Biomech. 27 (1994) 1389.] is investigated using the "n units" model [M. Zidi, S. Ramtani, Bone remodeling theory applied to the study of n unit-elements model, J Biomech. 32 (1999) 743.]. This analysis pointed out that the power in the modulus density relationship p and the power to which density is raised in normalizing the energy stimulus q, known as strongly implicated in the stability condition of the remodelling process, were also stated as insensitive parameters in the bone loss area.