The internal parameters in bone remodelling theories often are not cle
arly related to the bony structure which results from the simulations
in which they are implemented. For a restricted class of bone remodell
ing theories, we have previously found a connection between overall st
ructural optimization and the parameters within a continuum-level remo
delling rule. In this study, we assess whether a simplified analytical
formula based on structural optimization can predict the behaviour of
a large-scale finite element bone remodelling simulation. The analyti
cal formula predicts when bone will remain around an intramedullary im
plant. The predictions of the formula are borne out in the numerical r
esults. This leads to a physical interpretation of one of the two para
meters in the remodelling rule used. The results also show some charac
teristics which are clinically relevant. This study extends earlier re
sults due to Huiskes for internal remodelling around intramedullary im
plants by using a different, numerically stable remodelling algorithm
based on optimization. The study also shows a direct practical applica
tion of the optimizing remodelling theory the authors have developed p
reviously.