Image-Guided Failure Assessment of Trabecular Bone

 

 

Introduction
Osteoporosis occurs most frequently in post-menopausal women and the elderly.  It is defined as a systemic skeletal disease characterized by low bone mass and micro-architectural deterioration of bone tissue, with a concomitant increase in bone fragility and fracture risk. Until recently the structural analysis of these fractures has been limited to two-dimensional sections.  Due to the inherent destructiveness of this method, dynamic assessment of fracture progression has not been possible.  An image-guided technique, utilizing micro-compression in combination with micro-computed tomography (
µCT), has been developed, which allows for the first time, the direct three-dimensional visualization and quantification of fracture progression on the microscopic level. This technique allows for the definition of a quantitative method to relate the global failure properties of trabecular bone to those of the individual trabeculae.  The goal of this project was first, to design a micro-mechanical testing system, composed of the micro-compression device (MCD) and the material testing and data acquisition system (MTDAQ), and second, to validate the testing system to perform step-wise testing of trabecular bone specimens using image-guided failure analysis (IGFA) technique and µCT imaging.  This technique has been implemented before by using a standard mechanical testing machine and aluminum foam specimens. However, in order to obtain better results on bone specimens, the design and manufacture of the abovementioned MTDAQ was deemed necessary.

Methods
IGFA is based on the step-wise or time-lapsed compression and imaging of bone specimens.  It is a three-dimensional and dynamic technique that allows for the study of bone failure beyond the elastic region.  It is also capable of studying the influence of local variation of bone tissue and structure on the mechanical behavior of bone. IGFA allows simoultaneous
µCT imaging as bone tissue is progressively compressed beyond yield.  The testing protocol consists of applying sequential compression steps of 0%, 2%, 4%, 8%, 12%, 16% and 20% global strain, while simultaneously measuring nominal stress.  The specimen is imaged after each strain step to observe microstructural deformation.
The MCD is designed to house the test specimens and act as a transportable link between the mechanical testing and micro-CT imaging steps.  Its duties are to hold the specimen, lock the applied strain to the specimen, record the applied load via an onboard load-cell, and provide a radiolucent window for scanning.  Previously, the micro-compression device (MCD) was loaded axially via a standard mechanical testing machine.  The axial strain was applied through a pushpin on the MCD cap and locked manually.  This combination introduced errors in the form of strain application fluctuation, due to reduced sensitivity of the testing machine at small strains, and the application of unknown manual torque in the strain locking process. In order to alleviate these problems, the MCD is instead interfaced with the MTDAQ.  This system is designed to introduce axial strain to the specimen using a custom screw drive micro-stepping compression actuator.  Also, an onboard LVDT measures the applied strain to the specimen.
Specimens from whale vertebral bodies (n=10) and ERG aluminum foam specimens (n=30) were divided into two groups with nearly identical mass and apparent densities.  One group was tested from 0-20% strain based on conventional continuous mechanical testing method, while the other
was tested from 0-20% strain using IGFA testing method.  All specimens were cored along the principal trabecular axis and cut into cylinders of  8 mm diameter and 16 mm height taking into consideration protocols to minimize end effect artifacts such as attachment of brass end caps to both ends of the specimens using cyanoacrylate.  All biological specimens were wrapped in saline soaked gauze and stored at –4°C to preserve their mechanical properties.  The specimens were tested at a 0.01s-1 strain rate and preconditioned to 0.3% strain at a rate of 0.005 s-1 for 10 cycles.  Whale specimens were chosen for biological samples due to the large size of the vertebral bodies with large regions of homogenous, uniformly oriented trabeculae.  The aluminum foam specimens were selected due to their predictable mechanical characteristics, and similar architecture to human lumbar spine trabecular network.  Statistical analyses were performed by ANOVA.
 

  Results
Mechanical properties obtained from the continuous and step-wise methods were not significantly different for both aluminum and whale trabecular bone specimens (p>0.05).  Both testing methods yielded very similar stress-strain graphs with almost identical elastic regions, and plastic regions with overlaying standard error bars for both whale bone specimens and aluminum foam specimens.  This was further concurred by performing regression analyzes between the stress data from both testing methods (r2=0.98 for whale specimens, and r2=0.98 for aluminum foam specimens). 
In aluminum specimens a general trend of buckling was observed within the structure due to imposed strain (Figure 1-a), where the individual trabeculae throughout the entire specimen tended to bend and buckle.  Failure was observed differently in whale trabecular bone specimens (Figure 1-b).  Over the imposed strain range of 20%, the top one third of the specimen crumbled significantly with the individual trabecular elements experiencing high levels of deformations such as bending and buckling, whereas the remaining lower part of the specimen was relatively intact.  It is observed that bone fails in a brittle manner due to the presence of minerals, but then it show
s a very ductile post failure behavior.  The collagen network within the trabeculae is responsible for keeping the mineral phase together over a long range of strain. 
 
 
Discussion
The MTDAQ was successfully designed and validated for usage in conjunction with the step-wise IGFA testing technique and time-lapsed micro-CT imaging.  One of the limitations of the system was the load frame compliance, which resulted from the finite stiffness of the load frame.  This artifact can be partially accounted for by calculating the compliance and incorporating it with the strain measurements of the specimens. Another limitation was the method of displacement measurement.  The current LVDT measures the displacement of the end-effector, which is prone to compliance and end-effect artifacts.  In order to measure the mid-axis strain within the specimen, optical methods will be considered.  Spatial constraints of the micro-CT prevented us from using longer brass end-caps to further reduce end-effect artifacts.
In conclusion, step-wise micro-compression yields the same mechanical properties as classical continuous tests for biological specimens, and IGFA provides insight in the pre and post failure behavior of microstructural bone.
 

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