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Research Papers

# Wireless Implantable Sensor for Noninvasive, Longitudinal Quantification of Axial Strain Across Rodent Long Bone DefectsOPEN ACCESS

[+] Author and Article Information
Brett S. Klosterhoff, Robert E. Guldberg

George W. Woodruff School
of Mechanical Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332;
Parker H. Petit Institute for
Bioengineering and Bioscience,
Georgia Institute of Technology,
Atlanta, GA 30332

Keat Ghee Ong

Department of Biomedical Engineering,
Michigan Technological University,
Houghton, MI 49931

Laxminarayanan Krishnan, Kevin M. Hetzendorfer

Parker H. Petit Institute for
Bioengineering and Bioscience,
Georgia Institute of Technology,
Atlanta, GA 30332

Young-Hui Chang

School of Biological Sciences,
Georgia Institute of Technology,
Atlanta, GA 30332

Mark G. Allen

School of Electrical and
Computer Engineering,
Georgia Institute of Technology,
Atlanta, GA 30332;
Department of Electrical and
Systems Engineering,
University of Pennsylvania,

Nick J. Willett

Parker H. Petit Institute for
Bioengineering and Bioscience,
Georgia Institute of Technology,
Atlanta, GA 30332;
Department of Orthopaedics,
Emory University,
Atlanta, GA 30303;
Atlanta Veteran’s Affairs Medical Center,
Department of Orthopaedics,
Decatur, GA 30033;
Wallace H. Coulter Department
of Biomedical Engineering,
Georgia Institute of Technology
and Emory University,
Atlanta, GA 30332

Manuscript received May 12, 2017; final manuscript received September 15, 2017; published online October 3, 2017. Editor: Victor H. Barocas.

J Biomech Eng 139(11), 111004 (Oct 03, 2017) (8 pages) Paper No: BIO-17-1208; doi: 10.1115/1.4037937 History: Received May 12, 2017; Revised September 15, 2017

## Abstract

Bone development, maintenance, and regeneration are remarkably sensitive to mechanical cues. Consequently, mechanical stimulation has long been sought as a putative target to promote endogenous healing after fracture. Given the transient nature of bone repair, tissue-level mechanical cues evolve rapidly over time after injury and are challenging to measure noninvasively. The objective of this work was to develop and characterize an implantable strain sensor for noninvasive monitoring of axial strain across a rodent femoral defect during functional activity. Herein, we present the design, characterization, and in vivo demonstration of the device’s capabilities for quantitatively interrogating physiological dynamic strains during bone regeneration. Ex vivo experimental characterization of the device showed that it possessed promising sensitivity, signal resolution, and electromechanical stability for in vivo applications. The digital telemetry minimized power consumption, enabling extended intermittent data collection. Devices were implanted in a rat 6 mm femoral segmental defect model, and after three days, data were acquired wirelessly during ambulation and synchronized to corresponding radiographic videos, validating the ability of the sensor to noninvasively measure strain in real-time. Together, these data indicate the sensor is a promising technology to quantify tissue mechanics in a specimen specific manner, facilitating more detailed investigations into the role of the mechanical environment in dynamic bone healing and remodeling processes.

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## Introduction

Fracture healing is a dynamic physiological process requiring rapid and highly coordinated morphogenesis of numerous cell populations to restore functional bone tissue. While the majority of the 12 million annual fractures in the United States heal without complications, 5–10% of fractures do not heal in a timely fashion and require lengthy clinical interventions involving multiple surgeries before function is restored [14]. To address this unmet clinical need, much research has been devoted to understanding mechanisms of fracture nonunion and to developing novel therapeutic strategies to stimulate bone repair. As the primary load bearing tissue in the human body, bone development, maintenance, and regeneration are remarkably sensitive to mechanical cues [57]. Numerous studies have identified the critical role of local mechanical cues in tissue differentiation, formation, and functional restoration of bone defects [816]. Due to these findings, mechanical stimulation has long been sought after as a putative target to stimulate endogenous bone healing mechanisms.

Before moving to costly and resource intensive studies in large animals, the rodent femoral defect model has emerged as a primary preclinical test bed to evaluate novel therapeutics—including drugs, biologics, and scaffolds—for the treatment of load-bearing bone defects [17,18]. In this model, various fixation systems have been utilized with varying levels of load-sharing across the defect region. Ultimately, the mechanical environment experienced locally by cells in the defect milieu regulates the healing response [19]. Given the transient nature of bone repair, these tissue-level mechanical cues evolve rapidly with time after injury and are highly dependent on the specific injury model and treatment under investigation. However, the biomechanical environment in these models has rarely been analyzed and the multiscale role of mechanical stimuli in the observed healing response remains poorly understood.

To elucidate the role of mechanical stimuli in skeletal healing, there is a need to quantify the mechanical environment experienced by the healing tissue during routine in vivo activities. However, standard techniques for quantitatively assessing the mechanical environment in preclinical animal models are limited to external fixation systems periodically affixed to mechanical loading instruments which impart a prescribed load stimulus to the defect [14,20,21], or computational image-based finite element simulations based on estimated mechanical boundary conditions [12]. The boundary conditions applied to such models are typically based on broad assumptions because they are challenging to measure noninvasively and change throughout the progression of healing. Consequently, neither technique directly captures loading patterns due to functional activities such as walking. Recognizing these limitations, we reasoned that the ability to directly and longitudinally measure the mechanical environment during fracture healing would enable quantification of the mechanical cues produced in specific bone defect models and provide a more detailed understanding of mechanical stimuli that can promote or impair functional healing of skeletal injuries.

Sustained technological advancements in microelectronics and short-range wireless communication systems have rapidly refined biomedical sensor technologies, thus motivating research to explore implantable sensor based approaches to monitor an array of clinical diseases [2225]. In particular, the introduction of small and inexpensive passive and active telemetry systems show promise for rapid deployment into preclinical models. The potential of implantable sensors to longitudinally monitor important environmental cues during regenerative processes in preclinical models could aid in the rational design and evaluation of novel therapeutics and advance understanding of the fundamental principles of mechanobiology [26]. To achieve this, we set out to engineer an implantable strain sensor—with a sufficiently small footprint to be utilized in the rodent femoral defect model—that can wirelessly transmit real time measurements of mechanical strain across a bone defect to a computer.

To obtain accurate measurements, an implantable sensing device should possess key functional characteristics including sufficient sensitivity and signal resolution to detect relevant changes in the parameter of interest (e.g., mechanical strain), limits of detection well outside the physiological dynamic range, and stable electromechanical characteristics throughout implantation under repeated functional loading and submersion in bodily fluids. In addition, telemetry must possess sufficient signal strength for wireless transmission through bodily tissues and an adequate power source for long-term data acquisition. The packaged device must be biocompatible, and preferably be compatible with longitudinal imaging techniques (e.g., radiography). Furthermore, the implant must have an adequate envelope for implantation in preclinical rodent models while maintaining mechanical durability to withstand surgical deployment and animal activity. Finally, a data acquisition system requiring minimal external hardware for logging wireless measurements to a PC is desirable. These characteristics informed our approach to the design of the device and the test methods used to characterize and validate its capabilities.

The objective of this work was to develop and characterize an implantable strain sensor for noninvasive, real-time monitoring of axial strain across a rodent femoral defect due to functional activity. Extensive ex vivo and in vivo validations were conducted to evaluate the device to meet the aforementioned functional criteria. Herein, we present the design, characterization, and in vivo evaluation of the device’s capabilities for quantitatively interrogating functional biomechanics post fracture.

## Materials and Methods

###### Strain Sensor Device Design.

The implantable device consisted primarily of two components: (1) an internal fixation plate instrumented with a strain sensor and (2) a stacked board processing unit enabling sensor functionality and wireless data transmission. The modular fixation plate used to stabilize the rat femoral defect, as reported in previous studies, consists of a polysulfone segment which acts as the fixator and two stainless steel plates which interface the polysulfone segment with each end of the femur (Fig. 1) [27,28]. The radiolucent polysulfone segment was modified to accommodate a single-element 350 Ω micro strain gage (Vishay PG EA-06-125BZ-350/E, Raleigh, NC) adhered into a recessed pocket on the back side by a two-component epoxy (Vishay PG M-Bond AE-10, Raleigh, NC) while permitting in vivo radiographic imaging of the healing defect. Insulated lead wires running to the processing unit were soldered to the strain gauge pads, cannulated through medical grade silicone tubing, and routed into a recessed channel on the side of the plate. To protect the sensor from fluid infiltration and mechanical impingement during surgery, the wire channel and pocket containing the strain gauge was potted with a biocompatible (ISO 10993) light-curing sealant (Dymax 1072-M, Torrington, CT) and shielded by thin (380 μm thick) laser-cut polytetrafluoroethylene (PTFE) covers.

The stacked chip processing unit consisted of an active wireless network system (Texas Instruments EZ430-RF2500, Dallas, TX) featuring an ultra-low power microcontroller and 2.4 GHz RF transceiver. The network chip was interfaced with a custom signal conditioning circuit including a Wheatstone bridge, low pass filter, two-stage amplifier, voltage regulator, and 240 mAh lithium coin cell battery (Energizer CR-2032, St. Louis, MO) permitting approximately 33 total hours of active data transmission at 7–8 Hz. After connecting the circuit to the sensor lead wires, the entire stacked chip was housed in a custom three-dimensional printed pack (Stratsys RGD720, Eden Prairie, MN) and encapsulated with the same biocompatible sealant used for the strain sensor. Wireless sensor data were acquired in real-time via a paired transceiver and USB plug-in mounted to a remote computer using a custom matlab graphical user interface (The MathWorks, Natick, MA).

###### Electromechanical Characterization.

The electromechanical characteristics of three instrumented fixation plates were evaluated ex vivo to assess the sensor’s sensitivity to detect strains due to physiological ambulatory loads and robustness to sustain long-term measurements in the in vivo environment. In order to simulate the eccentric bending loads placed on the internal fixation plates during functional loading, each end of the plates were attached to predrilled and tapped aluminum blocks approximating the length and cross-sectional area of the distal and proximal ends of the femur post osteotomy using the same screws used to anchor the plate to the femur during surgery (Fig. 2(a)). After assembly, a mechanical testing instrument (Electroforce 3220, TA Instruments, New Castle, DE) was used to apply cyclical compressive axial loads to the aluminum block-fixation plate construct. The constructs were preloaded to −2.5 N and tested for 25 cycles by a 0.5 Hz sinusoidal waveform to various magnitudes under displacement control, creating tensile local strains on the back surface of the fixation plate to which the strain sensor was adhered. Each test condition was repeated in triplicate for all three devices. The maximum displacement magnitude for each test was selected to achieve resultant axial load magnitudes of 16–20 N, which was the estimated peak axial force on the femur of a 250 g rat based on kinetic analysis of rodent gait [29]. In addition to testing the sensor with an empty gap between the two aluminum blocks, cylindrical defect surrogate materials of 40A polyurethane rubber and PTFE (McMaster-Carr, Douglasville, GA) were placed to fill the gap between the blocks to mimic the stiffness of the bone defect region during different stages of healing, including the proliferating soft tissue callus stage and the eventual mineralization stage (Fig. 2(b)); Rubber: elastic modulus = 4.766 ± 0.1153 MPa, axial stiffness = 19.26 ± 0.3646 N/mm; PTFE: elastic modulus= 319.3 ± 2.100 MPa, axial stiffness = 681.3 ± 39.11 N/mm). Throughout testing, the local axial strain along the sensor region of the fixation plate was measured by laser extensometer (LX-500, resolution = 1μm, MTS, Eden Prairie, MN) while simultaneously recording the differential voltage output of the strain sensor to validate the measurements (Fig. 2(c)).

###### Fatigue Testing.

In order to assess the durability of the sensor to endure repeated flexural strains due to ambulatory loading, three plates were cyclically loaded in three-point bending to achieve the maximum anticipated local axial strain on the sensor in vivo (6800 με). Loads were applied for 10,000 cycles at 1 Hz while recording the output from the sensor.

###### Biostability.

To ensure the electromechanical characteristics of the sensor were stable under prolonged exposure to bodily fluids, instrumented fixation plates (n = 2) were submerged in phosphate buffered saline and placed in an oven at 37 °C for 4 weeks [30]. Prior to submersion and at weekly intervals thereafter, the sensitivity of the strain sensor was quantified by loading the fixation plate in three-point bending over a range of physiological strain magnitudes on the sensor from 300 to 6800 με.

###### Surgical Procedures.

All procedures were approved by the Georgia Institute of Technology Institutional Animal Care and Use Committee (IACUC protocol A14040). After arrival, rats were single housed for 1–2 weeks after procurement for acclimatization before experimental use, with unlimited access to food and water under a 12:12 h light:dark cycle throughout the study. Unilateral 6 mm segmental defects were surgically created in the femurs of 8 month old male retired breeder Sprague Dawley rats weighing approximately 550–650 g (n = 2, CD, Charles River Labs, Wilmington, MA) under isofluorane anesthesia (1.5–2.5%) using a modification of previously established procedures to implant the transceiver pack in the abdominal cavity [27]. Briefly, the left femur was exposed from an anterior approach using blunt dissection. Next, the abdominal cavity was exposed by a 2 cm midline skin incision initiating 1 cm below the sternum (xiphoid) followed by an incision of the abdominal musculature (on the linea alba) and peritoneum, avoiding the subdiaphragmatic organs. A keyhole incision was made through the abdominal wall superior to the left inguinal ligament and the fixation plate and associated wire were passed through the keyhole into the hindlimb compartment before positioning the transceiver pack into the abdominal cavity. The peritoneum and abdominal musculature were then sutured and the skin was closed with wound clips. The keyhole incision was carefully sutured with a loose loop around the traversing wire to prevent herniation while permitting translation of the wire during joint movement. The fixation plate was mounted to the anterolateral aspect of the femur using four screws and a critically sized 6 mm defect was created in the mid-diaphysis using an oscillating saw and left untreated. A subcutaneous injection of sustained-release buprenorphine was administered for analgesia prior to surgery.

One week prior to surgery, animals were trained to walk on a rat treadmill (Metabolic Modular Treadmill, Columbus Instruments, Columbus, OH) at slow ambulatory speeds ranging from 0.08 to 0.16 m/s. A custom radiographic imaging system consisting of bi-plane X-ray generators and X-ray image intensifiers (Imaging Systems & Service, Inc., Painesville, OH) modified with the addition of high-speed digital video cameras (Xcitex XC-2M, Woburn, MA) was utilized to obtain high-speed images of the animal’s skeleton during walking periods. Three days after surgery, animals were imaged (100 frames/s; Camera 1–42 kV, 80 mA, 5 ms exposure; Camera 2–40 kV, 80 mA, 5 ms exposure) while walking on the treadmill at 0.1 m/s. Throughout all treadmill activities, strain sensor readings were recorded wirelessly at 7–8 Hz.

###### Statistical Analysis.

All data are presented as mean ± standard deviation unless otherwise stated. Multiple group comparisons were assessed by Analysis of Variance, with pairwise comparisons analyzed using Tukey’s post hoc test (Graphpad Prism 7, San Diego, CA). A one-sample two-tailed Student’s t-test was utilized to evaluate fatigue testing results. A p-value < 0.05 was defined as a statistically measurable difference.

## Results

###### Electromechanical Characterization.

The results of off-axis electromechanical characterization are summarized in Fig. 3 and Table 1. Sensors exhibited high linearity (Table 1; r2 = 0.993 ± 0.017, p < 0.0001 all tests) and distinct sensor outputs for each test condition (Figs. 3(a) and 3(b); Empty = .65 ± 1.51 mV/N, Rubber = 21.69 ± 1.45 mV/N, PTFE = 3.17 ± 1.24 mV/N, p < 0.001 all comparisons), demonstrating the sensor had sufficient sensitivity to detect changes in axial strain on the fixation plate under loading at different healing stages (with different stiffness surrogate defect materials). Taking into account op-amp gain and excitation voltage used for empty and rubber surrogate mechanical testing, the overall sensitivity of the device was 0.287 ± 0.035 μV/V/με. Sensitivity under PTFE surrogate test conditions could not be computed as local plate strains were at or below the resolution of the laser extensometer and could not be reliably measured.

To quantify the lower limit of detection of the device, we computed the signal-to-noise ratio (SNR) of the mechanical testing output and performed linear regression as a function of axial strain on the fixation plate (Fig. 4, Table 2). A limit of detection cut-off criteria of 20 dB (corresponding to a signal amplitude-to-noise ratio of 10–1) was applied, and linear regression computed that 300 με was the minimum detectable strain amplitude on the fixation plate that would be utilized in analysis of in vivo testing. Strains of this magnitude were only observed in PTFE surrogate defect testing, suggesting the sensor possessed sufficient resolution to accurately characterize the strain due to functional loading until and potentially after complete and robust bridging of the entire bone defect occurred.

###### Fatigue Testing.

The normalized output of sensors (n = 3) throughout 10,000 cycles was analyzed to determine if repeated deformation at the maximum anticipated strain in vivo would alter its sensitivity (Fig. 5(a)). Throughout testing, the response of the sensors was stable within ±4%. The slope of the regression lines (Table 3; −2.32 $×$ 10−7 ± 2.32 $×$ 10−6) was not significantly different from 0 (p = 0.877), demonstrating the sensor was sufficiently durable to maintain a constant sensitivity under high cycle peak physiological loads.

###### Biostability.

Throughout submersion in phosphate buffered saline at body temperature, the sensitivity of the sensor was stable within 7% of the value measured prior to submersion (Fig. 5(b)). High linearity was maintained throughout testing trials (r2 range = 0.9938–0.9988). These data indicate that the sensor can sustainably provide precise measurements under long term physiological conditions.

###### Wireless Strain Data Acquisition and Radiographic Imaging of Rodent Gait After Surgical Implantation and Creation of Femoral Defect.

After implantation of two devices in untreated 6 mm femoral defects, strain data were recorded wirelessly by a nearby laptop. Stable wireless acquisition was maintained up to a distance of approximately 20 feet, with further increasing distance resulting in lost data packets and thereby reducing sampling frequency. The presence of metal tables or objects in the transmitter line-of-sight was determined to reduce the transmission range to as low as 5 feet, depending on the spatial configuration. Three days after surgery, the rats were walked on a treadmill at a slow speed of 0.1 m/s. The belt speed was selected to produce a gait cycle of about 1–1.3 Hz, which was sufficiently slow to mitigate the risk of severe aliasing the gait cycle while recording strain data at 7–8 Hz. The logged sensor data were synchronized to 6 s videos of the animal recorded by high-speed radiographic videos from two different angles (Supplemental Videos 1 and 2 are available under the “Supplemental Data” tab for this paper on the ASME Digital Collection). The synchronized videos demonstrated the sensor signal coincides with the phase and frequency of the operated limb gait cycle, with lower strains being measured when the leg is lifted and rapid increases in strain observed when the leg is planted.

Absolute strains on each plate were computed from the in vivo voltage signal based on the calibrated sensitivity determined by electromechanical characterization of each device prior to implantation. To account for changes in the zero strain set-point which occur while surgically anchoring the fixation plate to the femur, the voltage corresponding to zero static strain was estimated by the median voltage signal while the animal sat in its cage prior to the treadmill walking period, which was nearly constant due to the minimal motion of the animal. During the videos, peak strains of up to 3290 με were observed during loading phases, whereas strain reversal relaxed the static flexural strain on the plate up to −3140 με while the leg was lifted (Fig. 6).

###### Fixation Plate Strain Analysis.

The distribution of dynamic strain cycles experienced by the fixation plate during the entire treadmill walking period for both animals were quantified using a peak analysis to compute strain amplitudes between adjacent local minima and maxima in the recorded sensor signals (matlab). The load history revealed a number of similarities between the two animals. Histograms of the strain amplitudes indicate a skewed distribution with approximately 35% of the total strain cycles falling in relatively low strains between 300 and 1000 με (Fig. 7). The incidence of strain cycles between 1000 and 5000 με were observed to be nearly constant for both implants. The median and 95th percentile strain amplitude were computed to be 1929 με and 5543 με, and 1889 με and 6041 με for each implant, respectively.

## Discussion

The mechanical environment within healing tissue evolves rapidly with time and is challenging to quantify longitudinally in a noninvasive fashion. The aim of this study was to develop, characterize and evaluate the ability of an internal fixation plate with an integrated wireless strain sensor to noninvasively quantify dynamic axial strains across a rodent bone defect during functional activity. Key technical criteria were defined and evaluated through ex vivo and in vivo experiments. In summary, the data indicate the sensor possesses sufficient sensitivity to detect progressive changes in physiological strain as healing occurs. Additionally, the lower limit of detection was sufficient to obtain strain measurements until robust bridging of the entire defect occurs. The sensor was proven to withstand 10,000 cycles at the maximum in vivo strain with no change in sensitivity, indicating the dynamic range of the sensor encompasses the relevant physiological range. Submersion testing demonstrated the sensor is packaged and sealed in a manner which maintains electromechanical stability for sustained physiological measurements. In vivo implantation demonstrated the device could be surgically implanted into a rat femoral segmental defect model and successfully transmit data wirelessly to a nearby computer. Animals tolerated the abdominal implant well throughout the study. Strain measurements were acquired in real-time while animals walked on a treadmill, and the data were validated by synchronizing to high-speed radiographic videos recorded simultaneously. High-speed X-ray imaging was a desirable validation technique for the sensor because it allowed for direct and accurate visualization of the position of the long bones during the gait cycle, overcoming movement artifacts caused by the large amount of soft tissue mass surrounding the hindlimb which limits the accuracy of standard optical imaging techniques [31].

The primary contribution of the reported device is the capability to longitudinally acquire quantitative measurements describing the in vivo evolution of the mechanical environment during bone healing. Perren et al. were the first to develop a predictive theory of mechanical boundary conditions that determine the differentiation of skeletal tissues after fracture [8]. Since then, many studies have utilized a variety of experimental and computational techniques to elucidate tissue-level mechanical conditions that enhance or impair bone repair [916]. While these studies have refined our understanding of the mechanobiological regulation of fracture healing, the majority of the studies rely on nonphysiological mechanical stimuli [14,15,20,21] or assumed boundary conditions for computational analysis that are not determined from the specific model under investigation [12]. A key limitation in the field is the technical challenge of longitudinally and noninvasively measuring mechanical conditions in in vivo models of skeletal healing [32,33]. By incorporating a wireless sensor, the mechanical boundary conditions of the defect can be quantified during physiological activities without disrupting the normal activity of the animal to obtain the measurement. The nondestructive measurement approach maximizes the amount of data acquired from a single animal, thereby reducing the number of animals needed to fully characterize the healing process and enabling specimen-specific analyses over multiple time points. Here, we report a wireless device that has the capability to facilitate flexible, long-term data acquisition at discrete time points. The fully digital telemetry approach with an integrated ultra-low-power (50 μA) sleep mode permits the 33 h of total power budget for active data transmission to be allocated over extended periods of time by programming the microcontroller for intermittent transmission. In our initial validation study, we selected a measurement protocol to obtain the majority of in vivo data within the first 72 h post surgery. In future studies, the measurement periods can be reprogrammed to extend the device over weeks and months.

The device also has some limitations. First, the single-element strain sensor is only capable of quantifying mechanical strain in one direction; in the configuration reported here, it was along the axis of the femur. Wehner and colleagues performed kinetic analysis of rodent gait to demonstrate this direction is the primary load trajectory during ambulation [29]. In their analysis, bending moments in the mid-diaphysis were also observed in all anatomical planes. Based on this analysis and our own observations in the eccentric loading tests, the sensor was positioned in the optimal region to detect the primary mode of deformation. In the segmental defect model, the addition of the fixation plate naturally produces an eccentric axial load on the plate and out-of-plane bending, resulting in peak local tensile strains on the sensor while the defect zone undergoes compression. The plate cross section is designed so the bending moment of inertia is threefold higher to in-plane bending that cannot be detected by the sensor, so its contribution to the overall mechanical environment is less significant. Second, the single-element design is sensitive to temperature differences between the hindlimb and abdomen. However, the in vivo conditions are essentially isothermal between the two regions as confirmed experimentally by the negligible drift in the baseline voltage of the sensor throughout implantation. Future improvements to address the aforementioned limitations could include a full-bridge strain sensor that is sufficiently small for the internal fixation plate, but commercial sensors satisfying these size constraints do not currently exist. We are actively pursuing custom full-bridge strain sensors fabricated via microelectromechanical systems manufacturing processes for this application. For the purposes of this study, a circuit sampling frequency of 7–8 Hz was selected as a compromise between battery life and sufficient sampling to avoid drastic aliasing of the gait cycle, which was approximately 1–1.3 Hz. Ideally, a higher sampling frequency (in the range of 25–30 Hz) for in vivo gait analysis would be desirable to ensure that peaks in strain are not missed. Continued work on circuit improvements is warranted to reduce power consumption during data transmission to enable higher sampling frequency while maintaining 20+ h of active data acquisition.

To conclude, we report the characterization and initial in vivo data obtained by a novel implantable wireless strain sensor in a preclinical model of bone repair. The device is capable of measuring axial mechanical strain during physiological activities and met key technical criteria outlined in the introduction. The technological underpinnings are broadly applicable to the mechanical characterization of therapeutics in diaphyseal fracture or defect models. This sensor platform is a promising approach to longitudinally characterize tissue mechanics in a specimen specific manner, enabling more detailed investigations into the role of the mechanical environment in bone repair.

## Acknowledgements

This work was supported by a research partnership between Children’s Healthcare of Atlanta and the Georgia Institute of Technology.

## Funding Data

• National Science Foundation Graduate Research Fellowship Program, Division of Graduate Education (Grant No. DGE-1650044).

• National Institutes of Health (Grant Nos. R01-AR069297, R21-AR066322, and T32-GM008433).

• National Science Foundation, Civil, Mechanical and Manufacturing Innovation (Grant No. NSF CMMI-1400065).

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Schwarz, C. , Wulsten, D. , Ellinghaus, A. , Lienau, J. , Willie, B. M. , and Duda, G. N. , 2013, “ Mechanical Load Modulates the Stimulatory Effect of BMP2 in a Rat Nonunion Model,” Tissue Eng. Part A, 19(1–2), pp. 247–254. [PubMed]
Gibney, E. , 2015, “ The Inside Story on Wearable Electronics,” Nature, 528(7580), pp. 26–28. [PubMed]
McGilvray, K. C. , Unal, E. , Troyer, K. L. , Santoni, B. G. , Palmer, R. H. , Easley, J. T. , Demir, H. V. , and Puttlitz, C. M. , 2015, “ Implantable Microelectromechanical Sensors for Diagnostic Monitoring and Post-Surgical Prediction of Bone Fracture Healing,” J. Orthop. Res., 33(10), pp. 1439–46. [PubMed]
Wise, K. D. , 2007, “ Integrated Sensors, MEMS, and Microsystems: Reflections on a Fantastic Voyage,” Sens. Actuators, A, 136(1), pp. 39–50.
Wachs, R. A. , Ellstein, D. , Drazan, J. , Healey, C. P. , Uhl, R. L. , Connor, K. A. , and Ledet, E. H. , 2013, “ Elementary Implantable Force Sensor: For Smart Orthopaedic Implants,” Adv. Biosens. Bioelectron., 2(4), p. 12477.
Klosterhoff, B. S. , Tsang, M. , She, D. , Ong, K. G. , Allen, M. G. , Willett, N. J. , and Guldberg, R. E. , 2017, “ Implantable Sensors for Regenerative Medicine,” ASME J. Biomech. Eng., 139(2), p. 021009.
Oest, M. E. , Dupont, K. M. , Kong, H.-J. , Mooney, D. J. , and Guldberg, R. E. , 2007, “ Quantitative Assessment of Scaffold and Growth Factor-Mediated Repair of Critically Sized Bone Defects,” J. Orthop. Res., 25(7), pp. 941–950. [PubMed]
Kolambkar, Y. M. , Dupont, K. M. , Boerckel, J. D. , Huebsch, N. , Mooney, D. J. , Hutmacher, D. W. , and Guldberg, R. E. , 2011, “ An Alginate-Based Hybrid System for Growth Factor Delivery in the Functional Repair of Large Bone Defects,” Biomaterials, 32(1), pp. 65–74. [PubMed]
Wehner, T. , Wolfram, U. , Henzler, T. , Niemeyer, F. , Claes, L. , and Simon, U. , 2010, “ Internal Forces and Moments in the Femur of the Rat During Gait,” J. Biomech., 43(13), pp. 2473–2479. [PubMed]
Luo, M. , Martinez, A. W. , Song, C. , Herrault, F. , and Allen, M. G. , 2014, “ A Microfabricated Wireless RF Pressure Sensor Made Completely of Biodegradable Materials,” J. Microelectromech. Syst., 23(1), pp. 4–13.
Bauman, J. M. , and Chang, Y.-H. , 2010, “ High-Speed X-ray Video Demonstrates Significant Skin Movement Errors With Standard Optical Kinematics During Rat Locomotion,” J. Neurosci. Methods, 186(1), pp. 18–24. [PubMed]
Epari, D. R. , Duda, G. N. , and Thompson, M. S. , 2010, “ Mechanobiology of Bone Healing and Regeneration: In Vivo Models,” Proc. Inst. Mech. Eng., Part H, 224(12), pp. 1543–1553.
Claes, L. E. , and Cunningham, J. L. , 2009, “ Monitoring the Mechanical Properties of Healing Bone,” Clin. Orthop. Relat. Res., 467(8), pp. 1964–71. [PubMed]
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Klosterhoff, B. S. , Nagaraja, S. , Dedania, J. J. , Guldberg, R. E. , and Willett, N. J. , 2017, “ Material and Mechanobiological Considerations for Bone Regeneration,” Materials and Devices for Bone Disorders, S. Bose , and A. Bandyopadhyay , eds., Academic Press, Cambridge, MA, pp. 197–264.
Wulsten, D. , Glatt, V. , Ellinghaus, A. , Schmidt-Bleek, K. , Petersen, A. , Schell, H. , Lienau, J. , Sebald, W. , Plöger, F. , Seemann, P. , and Duda, G. N. , 2011, “ Time Kinetics of Bone Defect Healing in Response to BMP-2 and GDF-5 Characterised by In Vivo Biomechanics,” Eur. Cell. Mater., 21, pp. 177–192. [PubMed]
Schwarz, C. , Wulsten, D. , Ellinghaus, A. , Lienau, J. , Willie, B. M. , and Duda, G. N. , 2013, “ Mechanical Load Modulates the Stimulatory Effect of BMP2 in a Rat Nonunion Model,” Tissue Eng. Part A, 19(1–2), pp. 247–254. [PubMed]
Gibney, E. , 2015, “ The Inside Story on Wearable Electronics,” Nature, 528(7580), pp. 26–28. [PubMed]
McGilvray, K. C. , Unal, E. , Troyer, K. L. , Santoni, B. G. , Palmer, R. H. , Easley, J. T. , Demir, H. V. , and Puttlitz, C. M. , 2015, “ Implantable Microelectromechanical Sensors for Diagnostic Monitoring and Post-Surgical Prediction of Bone Fracture Healing,” J. Orthop. Res., 33(10), pp. 1439–46. [PubMed]
Wise, K. D. , 2007, “ Integrated Sensors, MEMS, and Microsystems: Reflections on a Fantastic Voyage,” Sens. Actuators, A, 136(1), pp. 39–50.
Wachs, R. A. , Ellstein, D. , Drazan, J. , Healey, C. P. , Uhl, R. L. , Connor, K. A. , and Ledet, E. H. , 2013, “ Elementary Implantable Force Sensor: For Smart Orthopaedic Implants,” Adv. Biosens. Bioelectron., 2(4), p. 12477.
Klosterhoff, B. S. , Tsang, M. , She, D. , Ong, K. G. , Allen, M. G. , Willett, N. J. , and Guldberg, R. E. , 2017, “ Implantable Sensors for Regenerative Medicine,” ASME J. Biomech. Eng., 139(2), p. 021009.
Oest, M. E. , Dupont, K. M. , Kong, H.-J. , Mooney, D. J. , and Guldberg, R. E. , 2007, “ Quantitative Assessment of Scaffold and Growth Factor-Mediated Repair of Critically Sized Bone Defects,” J. Orthop. Res., 25(7), pp. 941–950. [PubMed]
Kolambkar, Y. M. , Dupont, K. M. , Boerckel, J. D. , Huebsch, N. , Mooney, D. J. , Hutmacher, D. W. , and Guldberg, R. E. , 2011, “ An Alginate-Based Hybrid System for Growth Factor Delivery in the Functional Repair of Large Bone Defects,” Biomaterials, 32(1), pp. 65–74. [PubMed]
Wehner, T. , Wolfram, U. , Henzler, T. , Niemeyer, F. , Claes, L. , and Simon, U. , 2010, “ Internal Forces and Moments in the Femur of the Rat During Gait,” J. Biomech., 43(13), pp. 2473–2479. [PubMed]
Luo, M. , Martinez, A. W. , Song, C. , Herrault, F. , and Allen, M. G. , 2014, “ A Microfabricated Wireless RF Pressure Sensor Made Completely of Biodegradable Materials,” J. Microelectromech. Syst., 23(1), pp. 4–13.
Bauman, J. M. , and Chang, Y.-H. , 2010, “ High-Speed X-ray Video Demonstrates Significant Skin Movement Errors With Standard Optical Kinematics During Rat Locomotion,” J. Neurosci. Methods, 186(1), pp. 18–24. [PubMed]
Epari, D. R. , Duda, G. N. , and Thompson, M. S. , 2010, “ Mechanobiology of Bone Healing and Regeneration: In Vivo Models,” Proc. Inst. Mech. Eng., Part H, 224(12), pp. 1543–1553.
Claes, L. E. , and Cunningham, J. L. , 2009, “ Monitoring the Mechanical Properties of Healing Bone,” Clin. Orthop. Relat. Res., 467(8), pp. 1964–71. [PubMed]

## Figures

Fig. 1

(a) Exploded view schematic of instrumented internal femoral fixation plate with sensor adhered in recessed pocket on plate and lead wires routed through machined slot to the transceiver pack mounted in the abdominal cavity. Note: plate and transceiver schematics are not to same scale. (b) Photograph of instrumented plate before surgical implantation.

Fig. 2

(a) Experimental set-up for eccentric cyclical compression testing of instrumented fixation plates. (b) Elastic moduli of surrogate defect materials, which are placed in the gap between the loading blocks to simulate the progression of mechanical properties during bone defect repair. (c) Example output during a cyclic test, where local strain in the sensor region as measured by laser extensometer is plotted alongside the corresponding voltage signal from the sensor.

Fig. 3

(a) Sensor output plots for a range of physiological load magnitudes. The color of the dot represents a different sensor and the color of the line represents a different defect surrogate material. Cyclical tests were repeated in triplicate for each loading case, and error bars depicting standard deviation are included on all data points. (b) Normalizing the voltage output of the sensor by applied force demonstrates the sensor is able to discern changes in the stiffness of the defect region, and therefore appears promising to detect progression of bone repair under physiological load conditions, ***p < 0.001, Analysis of Variance, all comparisons.

Fig. 4

Regression of SNR of sensor output versus the local axial strain of the sensor region as measured by laser extensometer. Employing a limit of detection cut-off criteria of 20 dB (corresponding to a signal amplitude-to-noise ratio of 10–1) indicates the sensor can reliably detect plate strains as low as 300 με, suggesting the sensor possessed sufficient resolution to obtain measurements until and potentially after robust bridging of the bone defect occurred.

Fig. 5

(a) Fatigue testing of the devices (n = 3) for 10,000 cycles at maximum anticipated physiological strain. The normalized raw outputs for each device is shown, and their respective regression lines are depicted by the bright dotted lines. Throughout 10,000 cycles the outputs were stable within ±4 percent and the resultant slope was not significantly different than zero (p = 0.877). (b) Instrumented fixation plates were submerged in saline maintained at body temperature for 4 weeks and sensitivity was evaluated by mechanical testing at weekly intervals. The output was stable within 7% throughout the test and sensitivity plots for all time-points remained highly linear (r2 range = 0.9938–0.9988).

Fig. 6

(a) Representative in vivo strain versus time measurement recorded wirelessly during ambulation on a treadmill three days after the creation of a 6 mm segmental femoral defect. Actual data points are depicted as circles with a spline curve-fit illustrated by the black line. (b) During data acquisition, high-speed radiographic videos were acquired by two X-ray cameras mounted at different angles. The videos were synchronized with the recorded sensor output to validate the ability of the sensor to noninvasively quantify functional strains in real-time (see Supplemental Videos 1 and 2 which are available under “Supplemental Data” tab for this paper on the ASME Digital Collection). Radiopaque objects including the stainless steel components which anchor the femoral fixation plate, the abdominally implanted transceiver circuit pack, and the incision wound clips are labeled.

Fig. 7

Strain amplitude distributions during ambulation. The median and 95th percentile strain amplitude were computed to be 1929 με and 5543 με, and 1889 με and 6041 με for each implant, respectively.

## Tables

Table 1 Sensor output and linear regression results for electromechanical characterization testing in Fig. 2
Table 2 Linear regression of 95% confidence interval (CI) for SNR versus strain depicted in Fig. 3. Conservatively employing the lower bounds of the CI to compute the SNR gives 19.52 dB for 300 με, which consequently is defined as the limit of detection
Table 3 Linear regression results for sensor fatigue testing

## Errata

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