A micro-macro evaluation of the vertebral bony endplate permeability based on computational fluid dynamics

Abstract

The intrinsic permeability is an important parameter that describes the resistance of a porous structure to fluid flo w. It has a key role in poroelastic finite element models of spinal segments, especially at the vertebral endplate, i.e. the interface between intervertebral disc and vertebra. In the understanding of the properties of the complex endplate system, an expli cit evaluation for permeability of subchondral bone is missing. Thus, a new method wa s proposed to evaluate the intrinsic permeability of the bony endplate. CT - based reconstruction s of the bony endplate from a lumbar vertebra were analyzed using computational fluid dynamics , and the i ntrinsic permeability and porosity of the structure were calculated. Results showed that the permeability did not depend on the fluid flow direction, and was statistically similar for both the superior and inferior endplates . Permeability values varied within the range of trabecular bone, while porosity values w ere lower than trabecular bone characteristic values. Finally, i ntrins ic permeability correlated well with porosity through the Kozeny - Karman model, which offer s perspectives for parametric studies involving degenerative or age - related changes at the disc - bone interface.