Microscopic Multi-Directional Permeability Coefficient of Human Lumbar Vertebral Cancellous Bone Tissue


Article Preview

The mechanical performance of cancellous bone is characterized using experimental measure of parameters (elastic moduli, permeability, etc.) which apply poroelasticity theory. Poroelastic investigations of bone are being extended to investigations of micro-mechanisms of remodeling processes and transport of metabolic product in bone. To understand physiological and pathological behavior of human skeletal system, the accurate measurement of biomechanical properties for bone is the one of important works. Particularly, the microscopic measurement is very important since the biomechanical behavior at the small scale of bone could be closely related to the remodeling of bone. But microscopic measurement of permeability coefficient which is one of important parameter of poroelasticity theory was never measured. In this study, a small scale permeability testing machine was developed to measure accurate coefficient of microscopic specimen permeability. Total of twenty one cylindrical cancellous specimens with a diameter of 500  from seven fresh male and female lumbar vertebrae (14, 39, 59, 61, 69, 75, and 77 years) were fabricated using a micro-milling machine having a resolution of 10 . To determine the directional permeability, bone coordinate was set to be x1 (longitudinal axis) and others were set as x2 (posteroanterior axis) and x3 (latero-medial axis). The measured mean permeability (± SD) values of each direction from x1 to x3 were 9 5.56 10− × (S.D. ± 10 7.10 10− × ), 9 6.66 10− × (S.D. ± 10 6.56 10− × ), and 9 7.04 10− × (S.D. ± 10 8.47 10− × ) m2/Pa/sec, respectively. Mean value in the x1 direction of specimens were the smallest (p<0.01) in comparison to x2 and x3 directions.



Key Engineering Materials (Volumes 345-346)

Edited by:

S.W. Nam, Y.W. Chang, S.B. Lee and N.J. Kim




J. H. Hong and Y. H. Park, "Microscopic Multi-Directional Permeability Coefficient of Human Lumbar Vertebral Cancellous Bone Tissue ", Key Engineering Materials, Vols. 345-346, pp. 1161-1164, 2007

Online since:

August 2007




[1] T.M. Keaveny and W.C. Hayes: A 20-year Perspective on the Mechanical Properties of Trabecular Bone, Journal of Biomechanical Engineering Vol. 115 (1993), pp.534-542.

DOI: https://doi.org/10.1115/1.2895536

[2] G. Baroud, R. Falk, M. Crookshank, S. Sponagel and T. Steffen: Experimental and Theoretical Investigation of Directional Permeability of Human Vertebral Cancellous Bone for Cement Infiltration, Journal of Biomechanics, Vol. 37, No2 (2004).

DOI: https://doi.org/10.1016/s0021-9290(03)00246-x

[3] J.C.M. Teo, W.S. Chang and S.H. Teoh: Simulation of Flow Across Cancellous Bone Cubes to Determine Permeability, Proceeding (458-134) Biomedical Engineering (2005).

[4] S.S. Kohles, J.B. Roberts: Linear Poroelastic Cancellous Bone Anisotropy: Trabecular Solid Elastic and Fluid Transport Properties, Journal of Biomechanical Engineering, Vol. 124, Issue 5 (2002), pp.521-526.

DOI: https://doi.org/10.1115/1.1503374

[5] A. E. Scheidegger: The Physics of Flow through Porous Media, University of Toronto Press, (1957).

[6] J.R. Rice and M.P. Cleary: Some Basic Stress-Diffusion Solutions for Fluid Saturated Elastic Porous Media with Compressible Constituents, Res Geophys Space Phys 14 (1976), pp.227-241.

DOI: https://doi.org/10.1029/rg014i002p00227