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Logo of ijsptInternational Journal of Sports Physical Therapy
Int J Sports Phys Ther. 2017 August; 12(4): 592–600.
PMCID: PMC5534149


Eric Schussler, PhD, PT, ATC,1 David Stark, MS,2 John H. Bolte, IV, PhD,2 Yun Seok Kang, PhD,2 and James A. Onate, PhD, ATC, FNATA2



Reports estimate that 1.6 to 3.8 million cases of concussion occur in sports and recreation each year in the United States. Despite continued efforts to reduce the occurrence of concussion, the rate of diagnosis continues to increase. The mechanisms of concussion are thought to involve linear and rotational head accelerations and velocities. One method of quantifying the kinematics experienced during sport participation is to place measurement devices into the athlete's helmet or directly on the athlete's head.


The purpose of this research to determine the accuracy of a head mounted device for measuring the head accelerations experienced by the wearer. This will be accomplished by identifying the error in Peak Linear Acceleration (PLA), Peak Rotational Acceleration (PRA) and Peak Rotational Velocity (PRV) of the device.

Study Design

Laboratory study.


A helmeted Hybrid III 50th percentile male headform was impacted via a pneumatic ram from the front, side, rear, front oblique and rear oblique at speeds from 1.5 to 5 m/s. The X2 Biosystems xPatch® (Seattle, WA) sensor was placed on the headform's right side at the approximate location of the mastoid process. Measures of PLA, PRA, PRV from the xPatch ® and Hybrid III were analyzed for Root Mean Square Error (RMSE), and Absolute and Relative Error (AE, RE).


Seventy-six impacts were analyzed. All measures of correlation, fixed through the origin, were found to be strong: PLA R2=0.967 p<0.01, PRA R2=0.933 p<0.01, PRV R2=0.999 p<0.00. PLA RMSE was 34%, RE 31.0%±14.0, and AE 31.1%±13.7. PRA RMSE was 23.4%, RE -6.7 ± 22.4 and AE 18.9%±13.8. PRV RMSE was 2.2%, RE 0.1 ± 2.2, and AE 1.8 ± 1.3.


Without including corrections for effect of skin artifact, the xPatch® produces measurements highly correlated with the gold standard yet above the average error of testing devices in both PLA and PRA, but a low error in PRV. PLA measures from the xPatch® system demonstrated a high level of correlation with the PLA data from the Hybrid III mounted data collection system.

Level of Evidence


Keywords: Concussion, head acceleration, head velocity


Reports estimate that between 1.6 and 3.8 million cases of concussion occur in sports and recreation each year in the United States.1 Despite continued efforts to reduce the occurrence of concussion, the rate of diagnosis continues to increase. The rate of occurrence has increased from 0.23 to 0.51 per 1000 high school athlete exposures in the period from 2005-2006 to 2011-2012.2 The cause of these concussions is often contact of a player's head with the opponent's head, body, or the ground.3 Sports related concussions affect more than 5% of high school and collegiate football players. Nearly 15% of the affected population goes on to sustain repeat concussions within the same season.4 Concussion has been identified as a potential risk factor for neurodegenerative dementia and decreased neurocognitive performance.5,6 Researchers utilize measurement devices to quantify the head impacts experienced by players in order to improve safety of athletes, but the technology of these devices often moves faster than the ability to independently test their accuracy.

A method of quantifying head impulses experienced during sport is to place measurement devices such as accelerometers and gyroscopes into the athlete's helmet or directly on the athlete's head. Such technology allows potentially injurious accelerations to be quantified immediately during participation as well as for the collection of cumulative impact data from multiple players over the course of a season.7,8 Current wearable systems, often worn on or in helmets, have shown to be ineffective in accurately measuring the kinematics of the head.9-15 The X2 Biosystems’ xPatch® system (Seattle, WA) is an option to measure head kinematics directly from the scalp. This system consists of a triaxial linear accelerometer and a triaxial gyroscope contained in a 1½ in by ½ in device that attaches directly to the skin over the mastoid process of the athlete (Figure 1A). The system allows measurement of head accelerations for activities whose participants do not typically wear headgear or helmets. Previous research on the accuracy of a mouthguard based system manufactured and tested by the same company indicated the design may be capable of accurately measuring the accelerations experienced by the head16,17 yet limited research currently exists on the ability of the xPatch® device to accurately measure head accelerations.

Figure 1.
A) Front-Oblique testing setup. B) Affixation of the xPatch Device to the HIII.

The purpose of this study is to determine the measurement error of the xPatch® system when compared to a gold standard Hybrid III 50th percentile male headform (HIII) in a laboratory setting. Accurate measurements of the kinematics of the head during athletic competition are important in determining the risk of concussion, alerting medical personnel of the need for secondary evaluation and for developing concussion prevention strategies and equipment. It is theorized that these devices will have error percentages equivalent to other equipment currently commercially available.


A helmeted HIII headform (Humanetics, Plymouth MA) was impacted via a pneumatic ram at varying impact speeds and directions. The HIII headform was attached to a HIII neck secured to a 40.23 kg mass on roller bearings which approximates the mass of a human thorax.18 The head was level (i.e. 0°of tilt) for all impacts. The xPatch® sensor was placed on the headform's right side at the approximate location of the mastoid process. Orientation of the sensor was set with the front of the device oriented perpendicular to the plane of testing (Figure 1A). The sensor was attached utilizing the manufacturer provided adhesive patch. The headform was then fitted with a Schutt Stallion lacrosse helmet (STX, Model: Stallion 500, Baltimore, MD) under which a wig comprised of human hair was placed and kept moist with a spray bottle, to simulate sweat. A Cascade STX chinstrap (Cascade Sports, Liverpool, NY) was used to secure the helmet to the headform and the helmet was fitted using manufacturer's recommendations.

A pneumatic ram weighing 23.9 kg was utilized to impact the helmet (Figure 1B). The impacting surface of the ram was an 8.25 inch diameter cylinder made of ultrahigh molecular weight polyethylene (UHMWPE). The helmet was impacted at four different speeds: 1.5, 2.5, 3.75, and 5 m/s from five different locations: frontal, side, rear, front-oblique and rear-oblique (Figure 2) to create a kinematic profile of impacts previously described to be representative of impacts experienced during play in light helmeted sports.14,19 Ram speed was controlled to within 0.1m/s. These speeds of impact were shown to produce accelerations at the head which have been reported during sports participation.10,20,21 All oblique impacts were directed 45° from the mid-sagittal plane. Each impact was directed through the center of gravity of the headform. Four impacts were performed at each selected speed for each selected direction. The number, location and velocity of the impacts were controlled rather than resultant kinematics.

Figure 2.
Testing Matrix.

Linear accelerations and angular velocities of the HIII were recorded utilizing sensors placed within the headform. Piezoelectric accelerometers (Megitt's Endevco, Model #:7246C-2000, Irvine CA) were used to measure linear acceleration while Angular Rate Sensors (ARS) (DTS ARS P18K Pro, Seal Beach CA) were used to measure angular velocity. Accelerometers were organized within the headform in a 3-2-2-2 configuration described by Padgaonkar22 typical for acquiring head impact data. Linear accelerations and angular velocities were stored using data acquisition system TDAS G5® (DTS, Seal Beach CA). Data were imported into DIAdem (National Instruments, Austin TX) where it was zeroed and filtered using CFC 1000 filters as per standard practices described in the Society of Automotive Engineers standard J211-1.23 While angular accelerations were not directly measured within the headform, they were calculated using algebraic equations as described by Padgaonkar.22

Immediately prior to data collection, the xPatch® units were synced with the data recording system which set the time stamp on each device to the computer generated time. This same computer was utilized to run to HIII data acquisition system. Data from the xPatch® sensor were downloaded from the device into the manufacturer's software at the completion of testing. This software automatically converts the linear acceleration data from the lateral aspect of the head (ap) to the center of gravity (aCG) (Equation 1) where ω is angular velocity, ω˙ is angular acceleration and rpCG is the geometrical relationship between point P, the location of the device on the head and Q, the location of the center of gravity of the head.24


These calculations take place within the system utilizing manufacturer preset rpCG distance and orientation which are not altered by the user. All data were transferred to excel spreadsheets to coordinate time stamps. The impacts measured by the xPatch® and sensors within the HIII were matched utilizing the time stamp on the xPatch® device and the data acquisition system regardless of the system determination of an actual impact or a non-intentional impact. The xPatch® system identifies false impacts through two methods including comparison to a set of wave form parameters and comparison to a reference waveform using cross-correlation.25 Two hundred and forty eight impacts were recording during testing.


Correlational analysis of peak linear acceleration, peak rotational acceleration and velocity were computed utilizing SPSS version 24 (IBM Armonk, NY). Error between the devices was calculated in Percent Relative Error (Equation 2), Percent Absolute Error (Equation 3) and Root mean square error (RMSE) (Equation 4) for each of the peak accelerations and velocities14.



RMSE=iN(Relative Error)2N


Seventy-six tests were utilized for comparison of the xPatch® and HIII systems. Front and front oblique low speed tests included two impacts each that were below the 10g threshold of the xPatch® system as confirmed by the HIII system, thus they have been excluded from analysis. All remaining tests were identified as impacts by the xPatch® system and were not determined to be non-impact signals referred to by the manufacturer as “clacks”.

Resultant peak linear accelerations from the HIII headform ranged from 7.1 to 134.5g (average = 40.4g ± 27.5), resultant peak rotational accelerations ranged from 606.8 to 8328.6 rad/s2 (average=2862.9 rad/s2 ± 1889.2) and resultant peak rotational velocity ranged from 7.5 to 42.5 rad/s (average = 22.7 rad/s ± 9.7).

Analysis of the data indicated high correlations between the xPatch® and the HIII system. A correlation of linear acceleration fixed through the origin was found to be strong (p<0.01, R2=0.967). The results of rotational velocity were strongly correlated (p<0.00, R2=0.999) along with rotational acceleration (p<0.01, R2=0.933) when regressed through the origin (Figure 3).

Figure 3.
Correlation of Measurements from xPatch to HIII system.

Analysis of the RE, AE and RMSE for Linear, and Rotational Acceleration and Rotational Velocity are presented in Table 1. RMSE for PLA in all combined directions was 34%, 2.8% for PRV and 23.4% for PRA. Percent relative error by averaged HIII and xPatch® measurements indicate an average error of 31% ±14.1 PLA, -6.7% ±22.6 PRA and 1.7% ±2.2 PRV (Table 1).

Table 1.
Error by Type and Measurement
Table 2.
Percent Root Mean Square Error (RMSE) Measures by Direction and Magnitude of Impact

Bland-Altman Plots are presented (Figure 4) for the percent error of each of the measures at the average measure of each of the devices. Average percent error for PLA was 31.0 (Limit of Agreement; 58.6, 3.3), average percent error for PRA was -6.7 (Limit of agreement: 37.6, -51.0), indicating an under estimation of the acceleration by the xPatch® system and average percent error for PRV was 1.7 (Limit of agreement: 6.0, -2.6).

Figure 4.
Bland-Altman Plot of Percent Error in A) Linear Acceleration B) Rotational Acceleration C) Rotational Velocity

Significantly higher error was found between devices in RE and AE between the oblique measures over the non- oblique measures of PLA (Figure 5). Significant differences in AE: Front to Front Oblique (p = 0.029), Front to Rear Oblique (p < 0.001), Front-Oblique to Rear (p = 0.018), Side to Rear Oblique (p = 0.010), Rear Oblique to Rear (p < 0.001). Significant Differences in RE: Front to Rear Oblique (p < 0.001), Front-Oblique to Rear (p = 0.044), Side to Rear Oblique (p = 0.016), Rear Oblique to Rear (p < 0.001). Significant differences were found in PRV between rear oblique measures and all other measures in RE and AE at p < 0.001 (Figure 6). No significant difference was found between AE in PRA (p = 0.199), with the only difference in RE between Rear Oblique and Rear (p = 0.05, Figure 7).

Figure 5.
Percent Error in Linear Acceleration
Figure 6.
Percent Error in Rotational Velocity.
Figure 7.
Percent Error in Rotational Acceleration.


As has been previously reported,15,26,27 there is a high correlation between the measurements of linear acceleration from a gold standard system and linear acceleration reported by the xPatch® system yet higher pooled RE and AE than other devices previously studied.15 All xPatch® measures of linear acceleration over-estimated the linear acceleration recorded by the HIII system. While pooled rotational acceleration measures were comparable to previously reported error seen in the X2 mouth guard and the Head Impact Telemetry® (HIT) System (Simbex, Lebanon, NH),15 the rotational velocity measures were quite accurate when compared to both the gold standard and other tested systems on market. Whereas linear accelerations were routinely over estimated, the RMSE of rotational acceleration from the xPatch® was found to be 24%, with errors in both the positive and negative direction. The lack of uniformity in the error makes this measure difficult to interpret when measuring on the field accelerations, limiting clinical utility of the measure. The rotational velocity measure however was very accurate at 2.8% RMSE. The rotational velocity of the head is utilized for calculation of the Brain Injury Criterion (BrIC) which has strong support to be a predictor of brain injury in other applications such as motor vehicle accidents28. When analyzing the impacts from differing directions, oblique measures had higher error between the HIII and xPatch® measures for PLA and PRV. This response precludes the PLA and PRA data from being utilized to quantify peak acceleration of a single impact but does allow continued use of the pooled data to identify impact trends.

By directly placing the xPatch® on the head, this type of system may minimize the effect of interaction that has been found between the helmet and the head. Despite this, the design of the xPatch® has been shown to allow extraneous motion due to skin artifact. Accelerometers mounted on or within the helmet experience accelerations much larger than those that are experienced at the head.29 Athletes who do not wear tightly fitting equipment30 increase the disconnection between the accelerometers and the head, potentially introducing error.13 Studies identifying the motion artifact of the device during in vivo use found the device displaced on average 4mm from reference with the skull.26 This may affect the interpretation of these results, as the HIII skin may not accurately recreate the motion artifact of human skin. By placing the monitoring system directly on the head, the measurements are unaffected by the interaction of the impact and helmet design but the xPatch® unit has more extraneous motion than a mouthpiece based system.26

Identification of head impact severity utilizing head mounted and helmet mounted accelerometers and gyroscopes has been indicated to be unable to produce an accurate measurement of the forces experienced. The studies discussed throughout this paper indicate the usefulness of these devices may not lie in detecting a single impact injury but in quantifying the number of impacts that occur or utilization of pooled data. Future research should be performed to identify the effectiveness of these devices in monitoring total head impact exposure and the effectiveness of combined video review and impact profiles to reduce overall head contact.


Limitations of this study include the absence of a mechanism to account for the difference in displacement of the device on human skin compared to the covering of the ATD. The xPatch® device is placed over the mastoid process and may displace up to 4mm26 introducing error to the measure that was not replicated in this study. The data collected contains more data points at lower accelerations. While this profile is representative of the effects of impacts expected in participation, additional testing should include higher acceleration tests. This research utilized one style of helmet throughout; different styles of helmets may change the acceleration profile which can be interpreted differently by the device. Because this device was tested specifically in conjunction with lacrosse helmets, the impactor design and speeds were best suited to recreate the acceleration profile involved in light helmeted sports.19,31 Additional work should be performed to identify the error source of this device through analysis of the raw data rather than the data as interpreted by the xPatch® software. This analysis may reveal a systematic error in the handling of the acceleration data by the software. Research should also identify the accuracy of derived measures of head acceleration such as Head Impact Criterion and Gadd Severity Index from the xPatch® compared to a gold standard measure. Future work should expand the range of impact speeds to be representative of the impacts experienced in different sports to accurately reflect the possible uses of the device.


Accurate measurement of head accelerations experienced during sports participation is necessary for determining the specific mechanics of concussion in sport, determining methods to reduce concussions and identification of those who have experienced an impact that may have caused a concussion. The xPatch® System provides a strongly correlated overestimation of linear acceleration and a high level of accuracy in rotational velocity when compared to a gold standard measure. As linear acceleration is often the primary injury criteria used in sport at this time, consistent over estimation of the linear acceleration makes the xPatch® system a good tool to identify those in need of secondary injury screening by a qualified medical professional.


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Articles from International Journal of Sports Physical Therapy are provided here courtesy of The Sports Physical Therapy Section of the American Physical Therapy Association