Dj. Zhang et al., ON THE CALCULATION OF BONE PORE-WATER PRESSURE DUE TO MECHANICAL LOADING, International journal of solids and structures, 35(34-35), 1998, pp. 4981-4997
The purpose of this paper is to calculate the bone fluid pressure in t
he lacunar-canalicular porosity of the cortical bone matrix induced by
functional mechanical loading and compare it with that induced by the
blood pressure differences. This problem reduces to the problem of de
termining the bone fluid pressure in a representative axially compress
ed osteon which is approximately an annular cylindrical structure. Two
available poroelastic approximations, a beam analogy model and a sing
le osteon model, are compared and discussed. We find that: (1) at the
lacunar-canalicular porosity of a typical load-carrying long bone, nor
mal physiological loading induces a bone fluid pressure that is at lea
st 40 times larger than that induced by the blood pressure differences
; (2) the solutions of the beam analogy model and the single osteon mo
del approach each other as the exterior-to-interior radius ratio of th
e osteon approaches one. (C) 1998 Elsevier Science Ltd. All rights res
erved.