INSTITUTE OF PHYSICS PUBLISHING MEASUREMENT SCIENCE AND TECHNOLOGY
Meas. Sci. Technol. 15 (2004) 1–9 PII: S0957-0233(04)57547-1
The characterization of human compact
bone structure changes by low-field
nuclear magnetic resonance
Qingwen Ni
1,3
, J Derwin King
1
and Xiaodu Wang
2
1
Southwest Research Institute, San Antonio, TX, USA
2
Department of Mechanical Engineering and Biomechanics, University of Texas,
San Antonio, TX, USA
E-mail: qni@tamiu.edu
Received 6 December 2002, in final form 17 September 2003
Published
Online at stacks.iop.org/MST/15/1 (DOI: 10.1088/0957-0233/15/0/000)
Abstract
A technique of low-field pulsed proton nuclear magnetic resonance (NMR)
spin relaxation is described for characterizing the porosity and (effective)
pore size distribution in vitro in human compact bone. The technique
involves spin–spin relaxation measurement and inversion spin–spin
relaxation spectral analysis methods. The spin–spin relaxation decay curve
is converted into a T
2
distribution spectrum by a sum of single exponential
decays. The advantages of using low-field NMR for the spin–spin relaxation
technique are illustrated. The results obtained from NMR methodology are
compared with the results obtained from currently available but destructive
histomorphometry and mercury porosimetry methods. The NMR porosities
correlate well with the results obtained from the histomorphometry
measurements of eight samples from donors of ages 21–89 years. The pore
size distributions from T
2
relaxation measurements are similar to the
distributions obtained from the mercury porosimetry and histomorphometry
measurements. This indicates that the age-related porosity and pore size
changes in human compact bone can be detected using the low-field NMR
technique.
Keywords: NMR, spin–spin relaxation time, microphotograph,
NMR system, microphotograph system, bone, cortical porosity, pore size
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1. Introduction
Age-related fracture of bone is a major concern of health
care for the elderly population because such fractures may Q.1
lead to a high rate of mortality and morbidity. Although
the underlying mechanisms are not well understood, previous
studies have shown that an increase in the porosity of bone
considerably contributes to the age-related decrease of bone
mechanical strength. In a comprehensive review on the
porosity of bone, Martin [1] described that small changes in
porosity would lead to significant changes in the stiffness and
strength of both compact and spongy bone. In another study,
3
Address for correspondence: Department of Mathematics and Physical
Sciences, Texas A&M International University, Laredo, TX 78041, USA.
McCalden [2] reported that the capability of bone to absorb
energy during fracture strongly correlates with the porosity
of human bone. Since changes in bone porosity are directly
related to biomechanical properties of bone [2, 3], a direct
sensing technique to detect such changes in bone has been
long wanted. In this paper the focus is to demonstrate that the
age-related microstructural changes of the human compact (or
cortical) bone can be detected by low-field nuclear magnetic
resonance (NMR) relaxation techniques.
In human compact bone, there are three major natural
types of cavities or ‘voids’. Among them, Haversian and
Volkmann’s canals play a role in accommodating longitudinal
and transverse vascular vessels to transport cells, nutrients,
and proteins needed for metabolism inside the bone. Besides,
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