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Effects of the local mechanical environment on vertebrate tissue differentiation during repair: does repair recapitulate development?

Dennis M. Cullinane1,3,*, Kristy T. Salisbury1,3, Yaser Alkhiary2, Solomon Eisenberg3, Louis Gerstenfeld1 and Thomas A. Einhorn1

1 Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, Boston University Medical Center, 715 Albany Street, Housman-205, Boston, MA 02118-2526, USA
2 Department of Restorative Sciences and Biomaterials, Boston University School of Dental Medicine, Boston, MA 02118, USA
3 Department of Biomedical Engineering, Boston University, Boston, MA 02115, USA



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Fig. 1. A finite element model of the defect. Cortical bone is represented as an ideal tube of appropriate thickness, while the defect is represented as a mid-segment of the tube. The mechanical properties of the defect tissues are taken from the literature for callus mechanics, while the cortical bone is modeled as an incompressible solid. The model incorporates geometry, mechanical properties and load characteristics and generates stress and strain distribution fields that are used to create tissue differentiation predictions.

 


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Fig. 2. An external fixator mounted on a rat femur with an AutoCad representation of the device. (A) The pin clamping screws can be seen facing out from the animal. The device is in the straight and locked position, maintaining rigid fixation within the defect. The healed surgical incision site can be seen below the fixator. (B) The bicortex pins are situated in the pin channels (green arrows) and are fixed by clamp screws (yellow arrows). The black arrow indicates the axis of the bending fixator. When the locking screws are in place (white arrows), the device is capable of rigid fixation.

 


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Fig. 3. The linkage system connecting the motor and torque sensor to the fixator, which is inserted by pins into the rat femur. As the wheel (bottom right) rotates, the horizontal actuator arm (bottom) drives the vertical accuator arm (bottom left), which is attached to one side of the fixator (hidden by the plate). As the fixator bends on its axis or displaces in shear, the defect is stimulated. The rat is lying in a sling hammock with its tail protruding to the left of the image.

 


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Fig. 4. An example Fourier transform of collagen fibril architecture. The panels represent the stages of Fourier analysis including a thresholded image, ellipse and frequency distribution. The transform identifies the predominant pattern angle within an image (in this case, fibrillar orientation). The predominant angle, identified by highest frequency, is relative to the original captured image's orientation, but in the final analysis the angle is relative to a presumed defect midline, perpendicular to the bone long axis.

 


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Fig. 5. Finite element models (FEMs) illustrating strain distribution within the defect for shear (A,B) and bending (C,D). The three-dimensional models are to the left (A,C), while their respective cross-section representations are to the right (B,D). The models presented are from an intermediate stage of loading to illustrate the strain progression. The distribution of strain is illustrated using the quantitative color bars to the right of each active model. Altering the mechanical properties of the defect tissues alters the results of the models. The number of brick elements and the composition of the structure also play a role in determining the model's effectiveness in estimating local mechanical loads.

 


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Fig. 6. Graphic stress- and strain-based tissue prediction diagrams created from finite element results for (A) 12° bending and (B) shear. The areas in green represent putative cartilage, the areas in red represent fibrous tissues, and the blue areas represent bone. The bending model predicts two opposing bone elements but does not predict that the cartilage element will completely segment between the proximal and distal halves. The shear model predicts cartilage segmentation between the halves.

 


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Fig. 7. Moment resistance data for bending, shear and combination loading. The bending (dotted line), shear (solid line) and combination (dashed line) data correlate highs and lows very well, except for an initial lag in the combination group. Tissue appearance seems constrained by the timing of physiological processes and mechanobiological principles, while the architecture and maintenance of tissues seems to be controlled primarily by the mechanical environment. Note how the timing of the peaks and troughs correlates well among the three treatment regimens, while the magnitude of the moment resistance varies by treatment.

 


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Fig. 8. Radiographs of (A) control, (B) bending and (C) shear specimens with the external fixators attached. In every case, the mechanically stimulated defects resulted in non-union. The cartilage tissues in the experimental treatment defects are represented by translucencies in the gaps between the segments. All experimental treatments were for a 35-day (six-week) duration. The control specimen example is from a four-week control specimen, demonstrating the rapid bony bridging occurring in the controls.

 


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Fig. 9. An illustrative example of the mechanobiological paradigm's predictive value. Here, the magnitude of strain graphically dictates the differentiation of cartilage (shown in red) versus fibrous tissue (shown in blue) within the mechanically stimulated defects. The defect shown in A underwent 10% cortex diameter shear, whereas the defect shown in B underwent 25% shear. Thus, a threshold exists between these shear magnitudes that determines cartilage versus fibrous tissue outcomes.

 


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Fig. 10. The histological results from (A) control, (B) bending, (C) bending and shear, and (D) shear stimulations. Note that the control exhibits very little cartilage, while the treatment groups all present cartilage bands (shown in red) spanning the defect. Note also the arched nature of the cartilage band in the bending specimen, a further mechanobiological response to the bending action.

 


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Fig. 11. Fourier transformation of control cartilage collagen fibril orientation. The control cartilage collagen is randomly oriented due to a small-magnitude, unpredictable loading environment. Very little cartilage is produced within the control specimens due to rigid fixation.

 


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Fig. 12. In situ hybridization analysis of type II collagen mRNA expression in control murine femoral joint tissues and in mechanically induced tissues. (A) 10x magnification analysis comparing light- and dark-field images of in situ hybridization profiles of a normal murine joint and the underlying epiphyseal plate. Note the intense primary expression of type II collagen in the epiphyseal plate but not in the area of mature joint cartilage collagen. The black arrowheads in A and B indicate expression of Type II collagen. (B) 20x magnification analysis of the cartilage tissue produced by controlled mechanical loading, forming an artificial joint-like structure. Collagen type II expression is seen at low levels throughout the tissue but shows higher levels of expression in a band of cells adjacent to the area of fibrous tissue where cartilage cavitation is beginning to occur. (C) The 40x magnification shows silver grain localization over cartilage cells of native cartilage within the epiphysis and (D) over chondrocytes within mechanically generated tissues.

 


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Fig. 13. Immunohistologically stained sections of (A) bending-stimulated and (B) control cartilages. The brown stain in the mechanically stimulated cartilage indicates the expression of growth and differentiating factor 5 (GDF-5), whereas the control section demonstrates no reaction. The positive reaction to GDF-5 indicates that the mechanical stimulation therapy is causing the expression of this joint-determining gene.

 





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