Abstract
The complex structure of tendons relates to their mechanical properties. Previous research has associated the waviness of collagen fibers (crimp) during quasi-static tensile loading to tensile mechanics, but less is known about the role of fatigue loading on crimp properties. In this study (IACUC approved), mouse patellar tendons were fatigue loaded while an integrated plane polariscope simultaneously assessed crimp properties. We demonstrate a novel structural mechanism whereby tendon crimp amplitude and frequency are altered with fatigue loading. In particular, fatigue loading increased the crimp amplitude across the tendon width and length, and these structural alterations were shown to be both region and load dependent. The change in crimp amplitude was strongly correlated to mechanical tissue laxity (defined as the ratio of displacement and gauge length relative to the first cycle of fatigue loading assessed at constant load throughout testing), at all loads and regions evaluated. Together, this study highlights the role of fatigue loading on tendon crimp properties as a function of load applied and region evaluated, and offers an additional structural mechanism for mechanical alterations that may lead to ultimate tendon failure.
Keywords: imaging, patellar tendon, ligament, collagen, polarized light
Introduction
Tendons have a complex hierarchical structure that relates to their mechanical properties. For example, during mechanical loading a distinct nonlinearity or “toe” region is present that is often attributed to collagen fiber straightening or “uncrimping.”1–4 Alterations in tendon crimp may portend changes in mechanical properties. Structure-function relationships are therefore important to both provide an understanding of healthy tendon properties and serve as a guideline for injury assessment and treatment.
Although much research has investigated structure-function relationships during quasi-static tensile loading (e.g.,5; 6), evaluation during dynamic loading has been limited.7; 8 Recently, crimp was visualized with polarized light imaging during dynamic loading.9 This technique, which consists of two polarizing sheets on either side of the tendon, depicts its birefringence, as a crimped waveform containing alternating patterns of bright and dark bands (Fig. 1).2–4; 9 This innovative approach allows whole tissue, region specific, and load dependent crimp properties, to be inferred simultaneously during a mechanical test without destructively altering the tendon. Crimp is believed to be ubiquitous in all tendons,10 and as a property, is strain dependent2 and planar at this hierarchical level.4; 11 Understanding the process of uncrimping is significant as many tendons are believed to operate within the toe region of the stress-strain curve12 and experience a wide range of in vivo strains and strain rates.
Figure 1. Experimental setup of a plane polariscope.

The setup (A) consists of a backlight, two linear polarizers on either side of the tendon(s), and a camera. (B) The polarizer (P) and analyzer (A) are crossed at 90° and are oriented at the angle θ at which maximal extinction in the dark crimp bands occurred at preload.
Studying structure-function relationships during dynamic loading at high loads is also important for elucidating potential mechanical mechanisms governing fatigue-induced damage and injury. Initially, mechanical fatigue properties in tendon highlighted the three-phase pattern of fatigue damage accumulation,13 but no structural evaluation was completed.13–15 Questions regarding the structural alterations contributing to the monotonic increases in peak cyclic strain during fatigue loading led to work utilizing in vivo and ex vivo animal models with structural image-based measures.16–20 Although these previous studies have used various imaging modalities to study the accumulation and progression of fatigue induced structural alterations, such studies were not designed to simultaneously evaluate the load and region dependence of tendon crimp in the entire tissue. In addition, the imaging techniques utilized may be costly, time consuming, or destructive to the tissue.18; 21; 22
The purpose of this study was to determine if tendon crimp could serve as an ex vivo structural and region dependent metric of fatigue-induced structural alteration. Specifically, we investigated fatigue-induced changes in crimp frequency and amplitude in the mouse patellar tendon using polarized light imaging. We hypothesized that crimp properties would increase with fatigue loading, show regional differences, and correlate with mechanical properties assessed during fatigue loading.
Methods
Experimental Design
Patellar tendons from C57BL/6 mice at 150 days of age (IACUC approved) were used (N=10–11) (Level of Evidence: Basic Science Study). While hydrated in phosphate buffered saline (PBS), the surrounding musculature was removed, and the patella-patellar tendon-tibia unit was prepared for mechanical testing.8 Cross sectional area was measured using a laser-based device.23
Mechanical testing and image capture protocol
To test the effect of fatigue loading on tendon crimp properties, patellar tendons were secured in a mechanical testing setup while submerged in a PBS bath. Tendons were preloaded, preconditioned, imaged at three loads (representing the toe (F=0.1N), transition (F=0.5N), and linear regions (F=2.0N) of the force-displacement curve), and fatigue tested at 1Hz between 2 and 4N corresponding to 25–75% of the ultimate failure load using an Instron Microtester (Instron 5848, Norwood, MA) (Fig. 2A,B). A preliminary study determined that the mean failure load of mouse patellar tendons was approximately 5.5N, from which the necessary target loads were computed for the load controlled fatigue test. During loading, force and displacement data were acquired at 100 Hz and analyzed using custom MATLAB code (Mathworks, Natick, MA). Several post processing parameters were computed:17 1) maximum/minimum cyclic displacement and strain; 2) tangent stiffness (calculated as the slope between the maximum and minimum force and displacements for each cycle); 3) stress (calculated as the force divided by the cross sectional area); 4) dynamic modulus (calculated as the slope between the maximum and minimum stress and strain for each cycle; 5) hysteresis (defined as the area enclosed by the stress-strain curve for a cycle); and 6) laxity (defined as the ratio of displacement and gauge length relative to the first cycle of fatigue loading, and assessed at constant load throughout fatigue testing).24; 25 Specifically, after each cycle of fatigue loading, the length (LS) of the patellar tendon was measured at the load level of 2.5 N. The percent change in nonrecoverable length (laxity) relative to the tendon’s original length (Lo) is therefore defined as L= 100*[(LS − Lo)/Lo].17; 24–26
Figure 2. Mechanical testing and image capture protocol.
(A) Tendons were preloaded (a), preconditioned (b), imaged at three loads (0.1N, 0.5N, and 2.0N) (c), and fatigue loaded (d). After 10, 100, and 1000 cycle intervals of fatigue loading, images were captured at these three loads to quantify tendon crimp properties in the toe, transition, and linear regions of a representative load-displacement curve (B). This process was repeated until tendons reached 1000 fatigue loading cycles. (C) Four ROIs were selected representing the midsubstance (orange), insertion (yellow), center (solid), and lateral (dashed) regions of the tendon. ROIs were low pass filtered to enhance the visibility of light and dark bands and intensities were averaged across the ROI width (red dashed line) before being highpass filtered (blue line). From these spectra, the crimp amplitude and frequency were computed.
For image capture of tendon crimp, a plane polariscope was integrated with the mechanical testing setup, consisting of a backlight, two linear polarizers surrounding the tendon, and a camera (Basler GigE aca2040gm camera (resolution: 2048x2048 pixels); Exton, PA) (Fig. 1). This provided a pixel size of 3 microns, and the total average length at baseline was 820 pixels (~2.4 mm). The polarizer (P) and analyzer (A) were crossed at 90° and were oriented at the angle θ at which maximal extinction in the dark crimp bands occurred at preload. In this setup, alternating light and dark bands appear in a crimped tendon. Images of the whole tendon were captured after 0, 10, 100, and 1000 fatigue loading cycles at loads described (Fig. 2A,B).
Image Processing
A custom program was created (MATLAB, Version: R2012a, Natick, MA) to quantify tendon crimp properties. Four regions of interest (ROIs) (200x30pixels) were chosen to represent the insertion and midsubstance, at the tendon center and lateral positions (Fig. 2C). These same ROIs were used for the analysis of all images throughout the fatigue test across all loads evaluated. A Gaussian low-pass filter was applied to the image within the ROI to enhance the visibility of light and dark bands. Next, intensity values were averaged across the ROI width to give an intensity profile as a function of the vertical axis of the region that was then high-pass filtered. The spectral power was determined using the Fast Fourier Transform (FFT), which was then integrated to determine the cumulative spectral power (CSP). Finally, the crimp frequency (Fcrimp) was determined by taking the frequency at mean spectral power. Throughout specimen fatigue life, the CSP was evaluated at the Fcrimp to provide an optical measure of average crimp amplitude (Acrimp). All post-processing procedures were completed for all images acquired throughout specimen testing.
Statistical Evaluation
For statistical evaluation, one-way repeated measures ANVOAs followed by paired t-tests with Bonferroni corrections were used to evaluate the effect of fatigue loading on the change in crimp amplitude (ΔAcrimp) and frequency (ΔFcrimp) (SPSS, IBM SPSS Inc. Version 20, Armonk, New York). Two-way repeated measures ANOVAs were used to evaluate changes in region dependent crimp properties for each load and fatigue loading cycle evaluated. Significant relationships were assessed using post hoc paired T-tests (SPSS, IBM SPSS Inc. Version 20, Armonk, New York). One-way repeated measures ANOVAs were also used to determine if cycle number was a significant factor for the measured peak strain, tangent stiffness, hysteresis, and laxity. Pearson’s correlation coefficients were used to determine if fatigue properties (i.e., peak strain, laxity, stiffness, hysteresis, and modulus) were correlated to the ΔAcrimp and ΔFcrimp. Significant relationships were defined as α≤0.05 and trends α<0.1 after applying the appropriate Bonferroni correction factor.
Results
After 1000 fatigue loading cycles, all tendons attained the secondary phase of fatigue loading16 without rupture. Cycle number was a significant (p<0.001) factor for peak strain, tangent stiffness, hysteresis, and laxity (Fig. 3). At baseline, there were 14–18 crimps per mm, and the crimp amplitude ranged from 2.9–4.2 a.u. at 0.1N, 2.2–3.5 a.u. at 0.5N, and 1.8–2.4 a.u. at 2.0N depending on the ROI chosen. As hypothesized, fatigue loading resulted in crimp properties that were dependent on cycle number and the region of interest evaluated. The ΔAcrimp increased with fatigue loading (Fig. 4), and demonstrated load and region dependence. At low loads (0.1N), the ΔAcrimp was greatest (Fig. 4A). Additionally, the ΔAcrimp decreased at the higher loads evaluated (Fig. 4B,C). In contrast, the ΔFcrimp decreased with fatigue loading, but this was region dependent (Fig. 5). Regional variation was also evident in ΔAcrimp with fatigue loading (Fig. 4). The lateral region of the tendon demonstrated a larger increase in ΔAcrimp after 10, 100, and 1000 cycles of fatigue life at both lower loads (0.1 and 0.5N) when compared to the center region (p<0.001), but not at the higher load (2.0N) (Fig. 4C). Differences between the insertion and midsubstance regions were evident, but this response was load and cycle dependent.
Figure 3. Effect of fatigue loading on tendon mechanical properties.
Cycle number was a significant (p<0.001) factor for peak strain, tangent stiffness, hysteresis, and laxity. Individual lines indicate each specimen tested. With fatigue loading, peak strain, tangent stiffness, and laxity increased, whereas the hysteresis decreased.
Figure 4.
Δ Crimp amplitude (ΔAcrimp) increased with fatigue loading when assessed at (A) 0.1N (representative of the toe region of the force-displacement curve), (B) 0.5 N (representative of the transition region of the force-displacement curve), and (C) 2.0 N (representative of the linear region of the force-displacement curve). The ΔAcrimp demonstrated a load-dependent response, with lower values at higher loads. Bars indicate significant paired differences (p<0.0125) between the center and lateral ROIs and their corresponding insertion and midsubstances for a tendon after 10, 100, or 1000 cycles of fatigue loading. “u” indicates an intensity unit ranging between 1 and 256. *a,b,c,d indicates significant differences (p<0.0083) in the ROI when compared to 0, 10, 100, and 1000 cycles, respectively. “#” indicates trends (p<0.017).
Figure 5.
Δ Crimp frequency (ΔFcrimp) decreased with fatigue loading when assessed at 0.1N. Bars indicate significant paired differences (p<0.0125) between the center and lateral ROIs and their corresponding insertion and midsubstances for a tendon after 10, 100, or 1000 cycles of fatigue loading. *a,b,c,d indicates significant differences (p<0.0083) in the ROI when compared to 0, 10, 100, and 1000 cycles, respectively. “#” indicates trends (p<0.017). Data for ΔFcrimp at 0.5 and 2.0N are not shown since the power of crimp frequencies decreases to near the power of noise (high frequencies) at high loads. This is an unavoidable trade off with our high resolution images that does not exist in the evaluation of the ΔAcrimp.
Single linear regression analysis revealed that ΔAcrimp was strongly correlated to laxity at all loads and regions evaluated (r=0.72–0.89) (Fig. 6). In addition, ΔAcrimp was correlated to tendon strain, but only at the higher load (r=0.53) at both the center midsubstance and lateral insertion regions. No other fatigue mechanical properties correlated with ΔAcrimp (p>0.05). ΔFcrimp was not related to any mechanical property measured (p>0.05).
Figure 6.
Tendon laxity (defined as the ratio of displacement from gauge length at a set threshold to the tissue displacement and displacement at a set threshold after the first cycle of fatigue loading) was strongly correlated to the change in crimp amplitude at 0.1N as assessed at 0, 10, 100, and 1000 cycles of fatigue life. This same relationship held at both higher loads (0.5N and 2.0N). “u” indicates an intensity unit ranging between 1 and 256.
Discussion
This study evaluated real-time tendon crimp and mechanical properties nondestructively during tendon fatigue life using a plane polariscope. Results demonstrated that fatigue loading altered crimp properties and that this response was both region and load dependent. Such work is novel since it evaluated the effects of fatigue loading on tendon structure at several regions and loads simultaneously. This methodology provides further support for potential translation of other real-time structure-based assays, such as ultrasound,27 into in vivo systems to assess tendon mechanics.
The ΔAcrimp was region dependent, but region specific differences were muted at high loads. This supports the concept that crimp remains a primary factor at lower loads in the toe and transition regions of mechanical loading, but this response may be altered with fatigue loading. Furthermore, the regional difference in uncrimping across the tendon width and length, supports the observation that the structural response of collagen fibrils to loading is non-uniform.2 Regional differences in crimp properties across the patellar tendon width may be expected as a result of physiologic in vivo function. Variation in fibril area fraction has been demonstrated across the patellar tendon thickness,28 which may be due to the six degrees-of-freedom motion the patella29 and adjacent patellar tendon experiences during knee flexion/extension. Changes in crimp properties across the tendon length may be explained by the transition in mechanical properties from the tendon midsubstance to its fibrocartilagenous insertion.30 Similar changes in crimp properties with load have been observed in the supraspinatus.2
Several studies have measured structural changes in tendon following fatigue loading.16; 17; 21; 22; 31–33 Structural assessment following fatigue loading has ranged from histology,16 second harmonic generation,18–20; 31 polarized light imaging,17 scanning electron microscopy,32 and confocal imaging using photo bleaching.34 However, few measures of tendon fatigue mechanics have been reported,22; 32; 34 and only one study reported correlations between structure changes in tendon and fatigue loading.17 Further, our observed changes in crimp properties throughout fatigue life were more dramatic than previous reports assessing disorganization with fatigue loading.20; 35; 36 It is possible that evaluation of tendon crimp alterations with fatigue loading provides a more sensitive and mechanistic description than other metrics, such as the damage area fraction.20 In addition, recent studies have suggested that repeated subrupture loading results in fibril kinks that occur at distinct spacing intervals.33 Such changes have been shown to primarily occur early during repeated loading at the nanostructural level,32 which was also observed in this study for ΔAcrimp at the fascicle level. Thus, this provides support that fatigue loading alters collagen structure at several hierarchical levels of the tendon.
The strong relationship between ΔAcrimp and tendon laxity demonstrates both the use of laxity25 as a parameter for modeling the response of patellar tendon to fatigue loading, and ΔAcrimp as an indicator of the progression of tendon laxity. The strong relationships between structural metrics and fatigue loading have not been reported previously, with only qualitative relationships presented.16; 18–21; 31; 34 Such changes may also be incorporated into structural fit fiber recruitment models37 for the application of modeling tendon’s response to fatigue loading.
The primary limitation of the study was that relationships linking the induction of fatigue loading with concurrent cellular mechanisms were not investigated.38 Such effects likely have profound implications on the extracellular matrix, as well as the intracellular milieu in the tendon that may promote matrix remodeling or degeneration. Another potential limitation is that tendon mechanical and structural recovery following fatigue loading was not investigated. However, all tendons followed the standard multiphase pattern of fatigue life.16 Pilot tests evaluating the effect of a 45 minute recovery period following 1000 cycles of our fatigue loading protocol showed that whole tendon strain recovered less than 5%, and that this recovery was muted within 25 cycles of fatigue loading (data not shown). Therefore, we believe our fatigue protocol to be mechanically damaging, and suggest that our measure of nonrecoverable laxity in this study can be considered metrics of mechanical damage.17; 24–26 Additionally, given that fluid comprises 70% of the tendon wet weight,39; 40 it is possible that the alterations in ΔAcrimp observed were due to fluid exudation from the tendon.9; 41; 42 Although tensile stress can cause induced lateral contraction independent of uncrimping,9 this mechanism in the context of fatigue loading warrants future investigation. Finally, other factors may contribute to fatigue damage induction and progression, such as reductions in fibril continuity, and the role of glycosaminoglycans and other small matrix molecules.43; 44 Future studies will examine the effects of aging, additional tendon types,45 pathology, and knockout models on fatigue mechanics and crimp properties.
In conclusion, this study revealed alterations in tendon crimp and mechanical properties nondestructively, and in real-time, during fatigue loading. This work may lead to improved diagnostic imaging methods based on tissue-level structural measures to assess injured and healing tendons, which may ultimately improve patient monitoring. Although periodic crimp in tendon has been studied using high-magnification optical microscopy,2 electron microscopy,46 optical coherence tomography,47 and second harmonic generation,48 its study using polarized light microscopy4; 9 has been limited. In light of our findings and the low cost of our system ($<1000), this methodology presents both a robust and economic opportunity for understanding structure function relationships of tendons.
Acknowledgments
Grant Support: This study was funded by an NIH/NIAMS supported Penn Center for Musculoskeletal Disorders (NIH, P30 AR050950) and a National Science Foundation Graduate Fellowship.
We thank Akash Kumar for discussion.
Footnotes
Author Contributions: All authors were fully involved in the study and preparation of the manuscript. The manuscript has been read and approved by all of the authors.
Study approved by: University of Pennsylvania IACUC.
References
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