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. 2020 May 29;15(5):e0233649. doi: 10.1371/journal.pone.0233649

Automatic detection of break-over phase onset in horses using hoof-mounted inertial measurement unit sensors

M Tijssen 1,*, E Hernlund 2, M Rhodin 2, S Bosch 3,4, J P Voskamp 5,6, M Nielen 1, F M Serra Braganςa 6
Editor: Chris Rogers7
PMCID: PMC7259550  PMID: 32469939

Abstract

A prolonged break-over phase might be an indication of a variety of musculoskeletal disorders and can be measured with optical motion capture (OMC) systems, inertial measurement units (IMUs) and force plates. The aim of this study was to present two algorithms for automatic detection of the break-over phase onset from the acceleration and angular velocity signals measured by hoof-mounted IMUs in walk and trot on a hard surface. The performance of these algorithms was evaluated by internal validation with an OMC system and a force plate separately. Seven Warmblood horses were equipped with two wireless IMUs which were attached to the lateral wall of the right front (RF) and hind (RH) hooves. Horses were walked and trotted over a force plate for internal validation while simultaneously the 3D position of three reflective markers, attached to lateral heel, lateral toe and lateral coronet of each hoof, were measured by six infrared cameras of an OMC system. The performance of the algorithms was evaluated by linear mixed model analysis. The acceleration algorithm was the most accurate with an accuracy between -9 and 23 ms and a precision around 24 ms (against OMC system), and an accuracy between -37 and 20 ms and a precision around 29 ms (against force plate), depending on gait and hoof. This algorithm seems promising for quantification of the break-over phase onset although the applicability for clinical purposes, such as lameness detection and evaluation of trimming and shoeing techniques, should be investigated more in-depth.

Introduction

The break-over phase starts after the loading phase when the horse lifts its heel, causing a rotational movement around the toe, and ends with hoof-off [1, 2] as can be seen in Fig 1A. During this rotation, the body weight moves towards the toe; reducing the contact area with the ground and increasing the force on the toe and navicular bone. This increase in force results in high tensile forces on the muscles, ligaments and tendons [3, 4]. The ease of rotation of the hoof is affected by the toe length and hoof angle [46]. The break-over phase duration is the time between the start of the rotation and hoof-off. In general, this duration is around 20% of the stance duration in walk [7] but will be influenced by the gait and velocity of the horse, hoof shape and different surface properties. A prolonged break-over phase might increase the risk for development of navicular disease and tendon injury [3, 4, 8]. Prolongation can also be a result of a mechanical restriction or pain and thus an indication of an orthopedic disorder or lameness [4].

Fig 1.

Fig 1

Generic illustration of the movement of the hoof (A), modified from Witte et al. [15], the signals of the acceleration (B), angular velocity (C), vertical force and first derivative of the vertical force (D), and vertical displacement of the heel and toe markers of the OMC system. The start of the break-over is depicted with the vertical dashed lines and the dots show the detected break-over from the different signals. The swing phase is underlined with a dark beam.

The break-over phase can be measured with kinematic methods such as optical motion capture (OMC) systems, and inertial measurement units (IMUs) since the rotation of the hoof can be derived from the output of these methods. The OMC systems measure the position of markers, placed on the hoof, over time and give information about the displacement of these markers. The IMUs can also be attached to the hoof and measure the acceleration and angular velocity in three directions over time [9, 10]. The displacement can be calculated by integration, although some noise in the input data and unknown initial conditions might affect the integration and lead to inaccurate results [11]. In a previous study by Clayton et al. (2000), the vertical force, measured by a force plate, was used to determine the loading rate on a limb [12]. The loading rate was defined as the slope of the vertical force right after hoof impact, in which the longitudinal force was decreasing. However, the slope of the decreasing vertical force, unloading rate, was not assessed in this study. In another study by Weishaupt et al. 2004, the typical shape of the vertical force curve was described in trot and a discrete kink after midstance was allocated to the breakover of the hoof [13].

In the current study, the three abovementioned techniques (IMU, OMC and force plate) are used to detect the start of the break-over phase. While OMC and force plate can be considered established methods, neither can be considered a perfect gold standard, as both measure different quantities (force versus position). The aim of this study was to present two algorithms for automatic detection of the break-over phase onset from the acceleration and angular velocity data measured by hoof-mounted IMUs in walk and trot on a hard surface. The performance of these algorithms was evaluated through internal validation with the OMC system and the vertical force separately.

Materials and methods

Data collection

The same data collection procedure was performed as described earlier [10, 14]. In short, measurements were performed with seven Warmblood horses (Equus ferus caballus; for further details see S1 Appendix).

These horses were equipped with two ProMove-mini wireless IMUs (Inertia-Technology B.V., Enschede, The Netherlands; for further details see S1 Appendix) which measured the low-g acceleration with a range of ±16 g, high-g acceleration with a range of ±400 g, angular velocity with a range of ±2000 º/s, and sampling frequency of 200 Hz. These IMUs were attached to the lateral wall of the right front (RF) and hind (RH) hooves with double sided and normal tape.

All horses were walked and trotted over a force plate (Z4852C, Kistler, Winterthur, Switzerland; for further details see S1 Appendix) to collect at least five valid force plate impacts for both front and hind hooves; each valid impact will be considered a trial in the further analysis.

Three reflective markers of the OMC system (Qualisys AB, Motion Capture System, Göteborg, Sweden; for further details see S1 Appendix) were attached to lateral heel, lateral toe and lateral coronet of each hoof with super glue. The 3D position of three reflective markers were measured with a sampling frequency of 200 Hz by six infrared cameras (ProReflex 240) of the OMC system (Qualisys AB, Motion Capture System, Göteborg, Sweden). The position of these markers and the acceleration and angular velocity signal measured by the IMU sensors was obtained simultaneously.

The systems were time synchronized as described earlier [10], for more details see S1 Appendix.

The original horse measurements were performed in compliance with the Dutch Act on Animal Experimentation and approved by the local ethics committee of Utrecht University. All horses were present for teaching purposes and these measurements were not considered additional animal experiments within the Dutch law at that time. Therefore, no specific experiment number is available.

Data analysis

At the start of this study, data of the force plate, OMC system and IMUs were visually evaluated and a change in unloading rate of the vertical force signal was seen prior to hoof-off. To depict the unloading rate, the first derivative of the vertical force signal with respect to time was calculated and used during this study. The vertical force signal and the first derivative are depicted in Fig 1D.

OMC data

The collected OMC data were preprocessed by Inertia Technology B.V. and segmented in different trials corresponding with the force plate trials. The OMC data were analyzed and heel-off and toe-off time points, corresponding with the valid impact on the force plate, were selected by an algorithm described by Bragança et al. [14]. In short, the data from the toe and heel markers were filtered with a ‘maxflat filter’ with a cut-off frequency of 8 Hz. Then, the stance phase was detected by calculating the average variance of the signal using a moving window of 40 frames and allocating the moments with the lowest variance to the stance phase. Thereafter, the elevation of the markers was detected by performing a forward search to find the first frame where the marker was elevated by 1 mm, using the stance phase as a reference. This frame was allocated as the toe- and heel-off moments respectively. The same steps were performed with a backward search to find the toe- and heel-on moments. For this study, the break-over phase onset was determined as the heel-off time point.

Force plate data

The collected force plate data were preprocessed by Inertia Technology B.V.. The valid impacts were selected and cut into different trials; each trial consisted of at least one valid impact and sometimes two for consecutive impacts of the RF and RH hoof. The first derivative of the vertical force signal was calculated with a fourth order differentiator FIR filter with a passband frequency of 40 Hz and a stopband frequency of 100 Hz. The break-over phase onset was determined as the time point that the first derivative of the vertical force changed from decreasing to increasing values as can be seen in Fig 1D.

IMU data

The collected IMU data were preprocessed by Inertia Technology B.V. and cut into different trials corresponding with the force plate trials. The tri-axial acceleration and angular velocity signals were preprocessed by removing the offset drift and calculation of the Euclidean norm resulting in a one-directional acceleration and angular velocity signal. Thereafter, the swing phase was estimated to distinguish between consecutive steps by allocating the time points with a low variance as stance phase and the remaining time points as swing phase (for further details see companion paper [10]).

Next, we determined the break-over phase onset from the acceleration and angular velocity signal separately but by the same procedure. For both algorithms a threshold was developed to detect the start of the break-over phase. This threshold value was calculated from the signal mean (x) and signal standard deviation (s) of the stance phases. For every trial, this threshold value (T) was determined by:

T=x+1.96×s

The standard deviation was multiplied by 1.96 resulting in detection of the upper 2.5% of a normally distributed signal, to make sure that no random noise was detected.

The break-over phase onset was determined as the last time point that the signal was below the threshold value before hoof-off was detected.

Performance evaluation

The time differences between the detection of the break-over phase onset of both algorithms were assessed with the OMC and force derivative separately as reference. The normality of the time differences was visually checked by examining the QQ plot and histogram in R (version 1.1.414, RStudio Inc, Boston, Massachusetts, USA). Thereafter, the distribution of the time differences was visualized to interpret the results and the performance of both algorithms was evaluated by a linear mixed model analysis.

For the linear mixed model analysis, the same model building and reduction procedure was performed as described previously [10]. In short, a linear mixed model analysis was performed with hoof, gait, number of trials and interaction term between hoof and gait as independent variables. A random intercept for every horse was included in the model. Model reduction was applied based on the AIC and residuals of each selected model were visually checked for any deviations of normality and homoscedasticity. The predicted value of the time difference between both algorithms with the OMC and force derivative separately were calculated for every combination of hoof and gait. The same procedure was performed for the time differences between the force derivative and the OMC system.

The performance of the algorithms was evaluated based on the predicted values and the width of the 95% confidence intervals of the time differences. The predicted value was deemed better if closer to zero which indicates a small difference between the algorithm and the reference measurement, i.e. a good accuracy. A positive predicted value indicates a delayed detection by the algorithm and a negative predicted value indicates a too early detection by the algorithm compared with the reference measurement. The width of the 95% confidence interval of the time difference was preferred to be small, which means that the time difference is measured precisely, i.e. a good precision. Schematic representations of these predicted values were used to visualize the accuracy and precision of the algorithms compared with the reference.

Results

A total of 147 trials were analyzed: 75 trials of the right front (RF) hoof (36 in walk and 39 in trot) and 72 trials of the right hind (RH) hoof (34 in walk and 38 in trot). An overview of the analyzed trials is given elsewhere [10]. Preprocessed data of one measurement in trot can be seen in S1 Fig. The time differences between the detection of the break-over phase onset of both algorithms and the two reference methods (OMC and force plate) were normally distributed.

Time differences between both algorithms and the OMC system are depicted in the upper row of Fig 2. The distribution of the acceleration algorithm versus OMC system (Fig 2A) shows a bell shape curve ranging from -70 to 135 ms and a mean of 3.12 ms with higher values found for RH. The distribution of the angular velocity algorithm versus OMC system (Fig 2B) shows a smaller half bell shape curve, ranging from -100 to 10 ms, and a mean of -32.77 ms with lower values found for RF in trot. Time differences between both algorithms and the force derivative are depicted in the bottom row of Fig 2. The distribution of the acceleration algorithm versus force derivative (Fig 2C) shows a bell shape curve ranging from -155 to 125 ms and a mean of -12.18 ms with lower values found for RH in walk and higher values found for RF in walk. The distribution of the angular velocity algorithm versus force derivative (Fig 2D) shows a smaller right skewed curve ranging from -195 to 30 ms with a mean of -48.27 ms.

Fig 2. Distributions of time differences between both algorithms and reference methods for the break-over phase onset detection.

Fig 2

Time differences with the OMC system are depicted in the upper row and time differences with the force derivative are depicted in the bottom row. The different hoof/gait combinations are depicted with their own color.

Time differences between both reference methods are depicted in Fig 3A and show a bell shape curve, ranging from -75 to 120 ms and mean of 16.11 ms. Lower values were found for RH in walk and higher values for RF in walk.

Fig 3. Time differences and predicted values of time differences between force derivative and OMC system for break-over phase onset detection.

Fig 3

Time differences between the two reference methods are depicted in the upper figure with the different hoof/gait combinations depicted in their own color. In the bottom, the predicted values are indicated with dots for a certain hoof/gait combination and their 95% confidence intervals are shown by the whiskers. The dashed line indicates a predicted time difference of 0 ms.

Linear mixed model analysis

The residuals of all selected linear mixed models were normally distributed and did not show homoskedasticity. Table 1 gives a summary of the results of the linear mixed model analysis.

Table 1. Linear mixed model results for the acceleration and angular velocity algorithm.

OMC system as reference
predicted value (ms) lower CI (ms) upper CI (ms)
Model 1: acceleration walk RF 22.57 10.43 34.72
RH 2.03 -10.67 14.73
trot RF -8.42 -20.08 3.23
RH -2.64 -14.61 9.34
Model 2: angular velocity walk -33.51 -47.08 -19.95
trot -31.56 -45.10 -18.02
RF -43.57 -57.11 -30.02
RH -21.50 -35.07 -7.94
Force derivative as reference
predicted value (ms) lower CI (ms) upper CI (ms)
Model 3: acceleration walk RF 20.25 5.76 34.74
RH -36.86 -51.65 -22.07
trot RF -16.51 -30.65 -2.38
RH -16.73 -30.97 -2.50
Model 4: angular velocity walk RF -43.39 -59.28 -27.50
RH -65.13 -81.15 -49.10
trot RF -52.13 -67.87 -36.39
RH -34.48 -50.26 -18.69

The predicted values are determined in milliseconds (ms) and are deemed better if closer to zero. The upper and lower limits of the 95% confidence interval are determined in milliseconds (ms) and were preferred to be small.

OMC as a reference

The models with the lowest AIC are presented in Table 1. The predicted values of the time difference between the acceleration algorithm and the OMC system (model 1) were best explained when hoof, gait and interaction term were included as fixed effect in the model with no random effect. The predicted values of the time difference between the angular velocity algorithm and the OMC system (model 2) were best explained when hoof and gait were included as fixed effect and horse as random effect in the model.

The results in Table 1 show that the predicted values of the time differences were closer to zero for the acceleration algorithm (model 1) compared with the angular velocity algorithm (model 2). For model 1, the predicted values were positive in walk and negative in trot indicating a delayed detection in walk and a too early detection in trot in contrast to model 2 for which all predicted values were negative indicating a too early detection. Also, the confidence intervals are smaller for the acceleration algorithm (model 1) compared with the angular velocity algorithm (model 2).

In Fig 4, the predicted values and their 95% confidence intervals are shown for all models. For model 1 (Fig 4A), these values are shown for every hoof/gait combination because this model needs an interaction term to explain the data. The predicted values and their 95% confidence intervals of model 2 (Fig 4B) are shown for walk versus trot and the RF hoof versus the RH hoof because this model did not need an interaction term to explain the data. For model 1, the predicted values for RH are located closer to zero compared with the RF. All confidence intervals contain both positive and negative values except for the interval of the RF in walk. For model 2, the predictive values of the gaits are located closer to each other than the values of both hooves. The predictive value of RH is located closest to zero and the value of RF is located most distant from zero.

Fig 4. Schematic representation of the predicted values of the time differences and their 95% confidence intervals.

Fig 4

The dots indicate the predicted value for a certain hoof/gait combination and the 95% confidence intervals are shown by the whiskers. The dashed line indicates a predicted time difference of 0 ms.

These results indicate that the agreement with the OMC was better for the acceleration algorithm with an accuracy of between -8.42 and 22.57 ms depending on the gait and hoof and a precision around 24.24 ms.

Force derivative as a reference

The predicted values of the time differences between the acceleration algorithm and the force plate (model 3) and the angular velocity algorithm and the force plate (model 4) were best explained when in the model hoof, gait and interaction term were included as fixed effect and horse as random effect.

The results in Table 1 show that the predicted values were smaller for the acceleration algorithm (model 3) compared with the angular velocity algorithm (model 4). The predictive values of both models were all negative, indicating a too early detection, except for RF in walk of model 3. Also, the widths of the 95% confidence intervals were smaller for the acceleration algorithm (model 3).

For model 3 (Fig 4C) and model 4 (Fig 4D), these values are shown for every hoof/gait combination because this model needs an interaction term to explain the data. For model 3, the predictive values and confidence intervals are negative except for the RF in walk which has a positive predictive values and completely positive confidence interval. The values of both hooves are located closer to zero in trot compared to walk. For model 4, the predictive values and all confidence intervals are completely negative. The predictive value of RH in trot is located the closest to zero and the value of RH in walk is located the most distant from zero.

These results indicate that the agreement with the force derivative was better for the acceleration algorithm, which agrees with the results found for the validation with the OMC system. The accuracy of this algorithm was found between -36.86 and 20.25 ms, depending on gait and hoof, and the precision was around 28.83 ms.

Force derivative versus OMC system

The predicted values of the time differences between the two references methods, force derivative and OMC system, were best explained when the model contained a fixed effect for hoof and gait, an interaction term and no random horse effect.

The results in Table 2 show that all predicted values are positive, indicating a delayed detection with the force derivative compared to the OMC system. The value for RH in walk was the most located from zero. The confidence intervals were all completely positive, except for the interval of the RF in walk.

Table 2. Linear mixed model results for the reference methods, OMC system and force derivative.

Force derivative vs OMC system
predicted values (ms) lower Cl (ms) upper Cl (ms)
walk RF 1.57 9.56 -6.44
RH 40.62 49.01 32.24
trot RF 7.97 15.77 0.18
RH 16.81 24.71 8.90

The predicted values are determined in milliseconds (ms) and are deemed better if closer to zero. The lower and upper limits of the 95% confidence interval are determined in milliseconds (ms) and were preferred to be small.

In Fig 3B, the predicted values and their 95% confidence intervals are shown for every hoof/gait combination because this model needs an interaction term to explain the data. For the RF hoof in both gaits, the predicted values were closer to zero in contrast to the RH in walk for which the predicted value was the most distant from zero. All the confidence intervals were completely positive except for the interval of the RF in walk.

Discussion

Two algorithms are described to automatically detect the break-over phase onset from the acceleration and angular velocity signals measured with hoof-mounted IMUs in walk and trot on a hard surface. Results of the internal validation show that the acceleration algorithm was the most accurate with an accuracy between -9 and 23 ms and a precision around 24 ms with assessment against the OMC system and an accuracy between -37 and 20 ms and a precision around 29 ms with assessment against the force plate, depending on gait and hoof.

Both models needed a hoof, gait and interaction term to explain the predicted values of the time differences. The hoof effect might be explained by the fact that the shape of the hind- and front hooves are different; the hind hoof angle is steeper and the hoof is narrower, which results in a different hoof-unrollment pattern compared with the front hoof [6, 16]. The hoof-unrollment pattern might be affected by the velocity of the horse which explained the gait effect. The interaction term might be explained by the fact that hoof-unrollment patterns of hind- and front hooves might change differently over different gaits.

This is the first study that reports the use of the slope of the decreasing vertical force, unloading rate, for detection of the break-over phase onset. When the two established methods, OMC system and force plate, were assessed with each other, the predicted values of the time difference showed a time difference of 7.97 and 16.81 ms for respectively RF and RH in trot and 1.57 and 40.62 ms for respectively RF and RH in walk. This shows that the break-over phase onset detection based on the first derivative of the vertical force signal did not agree closely to the OMC system for all hoof/gait combinations. Based on the results of the current study, it’s not possible to conclude which method detects the break-over phase onset most accurately. However, the OMC system might be better suited for detecting of rotational movement around the toe while the force plate might be better suited for detection of sudden hoof contact moments [10]. Although, to determine toe-off and heel-off timings with the OMC system, an arbitrary threshold is needed in contrast to the force derivative.

During this study, no clear effect of stance duration on the performance of the break-over phase onset detection was seen. Stance durations can be found in S1 Table of the companion paper [10]. With the force derivative as reference, the angular velocity algorithm did not show a better performance in walk or trot, although the acceleration algorithm did show a better performance in trot compared to walk. With the OMC system as reference, the angular velocity algorithm did show a better performance in trot compared to walk, although the acceleration algorithm did not show a better performance in walk or trot.

The results of this study show that the acceleration algorithm was the most accurate algorithm to detect the break-over phase onset which was not as expected since the hoof was not yet lifted from the ground and no big acceleration change occurred. This might be a result of calculation of the Euclidean norm; an increasing angular velocity in one direction might become concealed by a decrease in angular velocity in another direction. For clinical applications, such as evaluation of hoof trimming, testing different shoeing techniques [6, 1719] and lameness detection [20], it might be beneficial to investigate the acceleration and angular velocity in three directions separately since rotation direction and maximal angle of rotation change with different hoof shapes and when horses are lame.

Besides measuring the rotation direction, the break-over duration might be a helpful addition for these applications. An increased break-over duration was found at mild lameness, even before lameness could be detected with the naked eye and before the stance duration of the lame limb increased [21]. In the current study, break-over durations were not evaluated by statistical analysis because calculation of these durations depends on the break-over onset as well as hoof-off detection per measurement method. Both detections are performed with their corresponding accuracy and precision, where the accuracy and precision of hoof-off detections is discussed in the companion paper [10]. An overview of the break-over durations within each measurement method is given in S1S4 Tables with their relative duration as percentage of the corresponding stance duration.

Break-over onset timing relative to the stance phase might also be of importance. In a previous study by Clayton et al. (2000), coffin joint moment and force plate data showed that the center of pressure began to move forward in a relatively early stage of the stance phase, initiating an early break-over phase onset in the lame limb [12].Further research should be performed to investigate the possible wider applicability of these algorithms, for instance on different surfaces. On a hard surface, the hoof remains flat on the ground until heel-off, in contrast to a soft surface on which the toe rotates into the surface before heel-off [22]. This will probably make break-over phase onset detection more difficult with these algorithms. Furthermore, reliability of these algorithms should be revalued in different situations, such as sound and lame conditions or before and after hoof trimming.

Conclusion

Two algorithms were presented to automatically detect the start of the break-over phase from the acceleration and angular velocity data measured with hoof-mounted IMUs in walk and trot on a hard surface. Internal validations against the OMC system and unloading rate, measured by the force derivative, were performed separately. The acceleration algorithm appeared to perform best with an accuracy between -9 and 23 ms and a precision around 24 ms (with the OMC system as reference), and an accuracy between -37 and 20 ms and a precision around 29 ms (with the force plate as reference), depending on gait and hoof. These algorithms seem promising for the onset of the break-over phase quantification. However, a more extensive validation process should be performed with more data and additional horses. Furthermore, the applicability of these algorithms for clinical purposes, such as lameness detection and evaluation of trimming and shoeing techniques, should be investigated more in-depth, including on different surfaces.

Supporting information

S1 Appendix. Additional information.

Document with additional information about the population, data collection and synchronization of all the measurement systems.

(DOCX)

S2 Appendix. Dataset.

Excel file with hoof-on, hoof-off and break-over data.

(XLSX)

S1 Fig

Preprocessed signals of the force plate, vertical force (A) and the first derivative of the vertical force (B), the acceleration (C) and angular velocity (D) signals of the IMU, and vertical displacement signals of the heel and toe markers of the OMC system (E) from one hoof from one measurement in trot. The hoof-on events are depicted with upward-pointing triangle markers, hoof-off events are depicted with downward-pointing triangle markers and break-over onset events are depicted with diamond shaped markers. For the OMC data, break-over onset events are depicted were the heel of the hoof leaves the ground and hoof-off events are depicted were the toe of the hoof leaves the ground.

(TIF)

S1 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right front hoof in walk.

Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

(DOCX)

S2 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right hind hoof in walk.

Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

(DOCX)

S3 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right front hoof in trot.

Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

(DOCX)

S4 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right hind hoof in trot.

Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

(DOCX)

Acknowledgments

We would like to thank W. Back, M. Marin-Perianu and P.R. van Weeren for making this study possible. A special thanks to W. Back and P.R. van Weeren for the feedback on preliminary results of the current study and J. van den Broek for statistical guidance.

Data Availability

All relevant data are within the manuscript and its Supporting Information files.

Funding Statement

No external funding was utilized for the current analysis of the existing data. Indirect support was provided through salaries by the home institutions of all co-authors. Inertia-Technology B.V. provided support in the form of salary for author S. Bosch, Rosmark Consultancy provided support in the form of salary for author J.P. Voskamp, the specific roles of these authors are articulated in the ‘author contribution’ section. The funders did not have any additional role in the study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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Decision Letter 0

Chris Rogers

2 Mar 2020

PONE-D-19-28210

Automatic detection of break-over phase onset in horses using hoof-mounted inertial measurement unit sensors

PLOS ONE

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Reviewer #2: Yes

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Reviewer #1: A useful methods manuscript. Robust methods, although in places there needs to be further clarity. Well written. Please see comments below in relation to the discussion. I feel further work here would enhance the manuscript.

Line 63: manual, not manually

Line 84-85: Were these measurements from the two systems synchronized?

Line 108-111: Elevation of the heel and toe markers of 1mm may also be due to landing and breakover characteristics. e.g. the rotation of the hoof may lift the toe marker during breakover by more than 1 mm before the toe lifts.

Line 113-114: Please expand on this statement or rewrite it, as it is unclear what ‘the same preprocessing procedure’ is.

Line 120-121: As above.

Line 132-133: How was a factor of 1.96 established in the first place? Was this based on something about the signal? i.e. did you quantify random noise magnitudes? Or was this done using an iterative process, based on observation of data? Please expand to provide an explanation/justification.

Line 159: Trials

Table 1: There is a mistake in the way the table is displayed for walk/trot Model 5.

Line 217-219: Please clearly indicate in the methods your definition of accuracy and precision (i.e. how did you measure this?).

Line 245: The predicted values are all positive in the table?

Line 266: enrollment? Do you mean hoof-unrollment?

Line 268: hooves

The overall discussion gives me, to some extent, the impression of vagueness in relation to choice of methods to compare against. It may be better at the outset to state which is the gold method for stance phase detection first. In order to reference your break over timings (i.e. where they occur during each stance phase) I assume you will need to know the stance phase timings? Did stance phase detection timings have an influence on break over detection methods? For the hind hoof, as there is greater potential for slide and stop, did this influence your findings? Were the stance phase lengths all the same? One might expect the most accurate stance phase detection method to be the force plate, as kinematic detection methods usually suffer from inaccurate lift off timings, thereby altering the length of the breakover phase? Did you use just one method to identify the stance phase and then apply that to all data or did you use the timings from each individual method? You used a lateral marker configuration for the OMC system, how might this have been a limitation? Do all horses rotate laterally over the toe? Please revisit these questions and provide either more info in the results and/or discussion of them.

Additionally, the accuracy and precision are reported a number of times, but no indication of the effect or magnitude of this potential ‘error’ are given. e.g. the accuracy would provide a max of x% of the stance phase difference in breakover timing either before or after the actual event etc.

Reviewer #2: The Authors investigate an experimental set-up to automatically detect from the signals of hoof-mounted inertial measurement units (IMU) the break-over phase onset. Two algorithms are derived from the available IMU data (acceleration and angular velocity), referred to as acceleration algorithm and angular velocity algorithm. As validation of this approach, the data obtained from optical motion capture (OMC) in terms of hoof displacements and from a force plate in terms of the first time derivative of the vertical force are used. Linear mixed model analysis has been performed to assess the performance of the algorithms regarding the validation data.

The manuscript is well written and structured, only minor corrections (with respect to grammar and presentation of the methodology) should be applied. Before publication, the following comments should be considered by the Authors in a revised version of the manuscript:

1) Line 22: Check word repetition ‘of a of a’ in the Abstract.

2) Line 24: Please check the manuscript for consistency regarding the use of ‘algorithm’ (singular) and ‘algorithms’ (plural). Sometimes, ‘one algorithm’ is proposed and used, sometimes ‘the algorithms’ are employed. See also Comment 17.

3) Line 33: In addition to the absolute values for accuracy and precision given in the Abstract (and in the Discussion section Lines 299-301), relative values in percent (e.g. ratio of absolute values compared to the timespan of the break-over phase) might be helpful to judge the applicability of the proposed algorithms. If the timespan of the break-over phase is not a direct outcome of the presented algorithms, at least a general estimation/indication of the typical timespan of the break-over phase should be provided.

4) Line 41: For the illustration of the explanation of the break-over phase, the Authors might already refer to Fig. 1A at this text position.

5) Line 48 ‘..., although it can also ... indicating on...’: This sentence is hard to read in its current form. ‘although’ as well as ‘on’ in combination with ‘indicate’ have to be deleted.

6) Line 52: Please check if the statement ‘are able to measure’ is correct here. What are the raw data of OMC systems and IMU, i.e. rotations of the hoof or other quantities from which the rotation is derived? See also Comments 7 and 8.

7) Line 53, see also Comment 6: Here, it is stated that the OMC system measures the position/displacement of markers, hence, no rotations.

8) Line 54, see also Comment 6: Here, it is stated that the IMU measure acceleration and angular velocity, no rotations.

9) Line 56: The sentence part with ‘artifacts and inaccuracies...’ should be replaced by e.g. ‘noise in the input data and unknown initial conditions might affect the integration and lead to inaccurate results...’

10) Line 61: Replace ‘helpful with determining’ by ‘helpful for determining’.

11) Line 93: It should be mentioned which ‘derivative’ with respect to which quantity has been used, i.e. ‘... the first derivative of this signal with respect to time’?

12) Line 96: ‘force plate and first derivative of the force plate’: Compared to the other figure caption parts, the depicted quantities, i.e. vertical force and first derivative of the vertical force, should be mentioned here in the caption, not ‘force plate and its derivative’.

13) Line 97, see also Comment 12: Replace ‘OMC system’ in the figure caption by e.g. ‘rotation/displacement from the OMC system’ and add ‘(E)’. Or which quantities are depicted in Fig. 1E?

14) Line 110: There is a problem with ‘to the find the...’.

15) Line 117-118: The sentence should be checked (grammar).

16) Line 130: For the equation, symbols instead of the words should be used. Subsequently, introduce/explain the symbols of the equation in the text.

17) Line 136, see also Comment 18: Here, the two proposed algorithms, i.e. the ‘acceleration algorithm’ and the ‘angular velocity algorithm’, should be already introduced. Please state also clearly that these algorithms are compared to the validation methods, i.e. ‘OMC system data and the vertical force derivative of the force plate measurement’. In the current version, it is not clear why the new term ‘functionalities’ (better: refer to ‘algorithms’?) is used and the information in bracket is not nicely structured, i.e. mixes prediction methods with validation methods.

18) Line 140: Here, the word ‘algorithms’ is used instead of the term ‘functionalities’, see also Comment 17.

19) Line 141: Since the rest of the manuscript focuses on this assessment, some more details about the theory of the ‘model building and reduction procedure’ should be provided in the manuscript.

20) Lines 154-156: Is this not already expressed in the paragraph before? What is the difference to Lines 145-153, where ‘reference measurement’ is used?

21) Line 161: Please consider replacing ‘functionalities’ by the algorithms, see also Comment 17.

22) Line 187: Explain the term ‘models’ in more detail.

23) Table 1: What are Models 1 to 3, why starting with Model 4? If the Authors change the model names (numbers), please adapt also references to these models in the rest of the manuscript.

24) Although a Conclusion section is optional for this journal, the Authors should think about splitting the Discussion section into ‘Discussion’ and ‘Conclusion’, e.g. starting from Line 295.

25) Fig. 1: Place the legend ‘first derivative’ also in the area of Fig. 1D so that this legend is not associated with (the area of) Fig. 1E.

**********

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Reviewer #1: Yes: Dr Sarah Jane Hobbs

Reviewer #2: No

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PLoS One. 2020 May 29;15(5):e0233649. doi: 10.1371/journal.pone.0233649.r002

Author response to Decision Letter 0


1 May 2020

Reviewer #1:

A useful methods manuscript. Robust methods, although in places there needs to be further clarity. Well written. Please see comments below in relation to the discussion. I feel further work here would enhance the manuscript.

1. Line 63: manual, not manually

Line 159: Trials, Line 268: hooves

Line 266: enrollment? Do you mean hoof-unrollment?

Thank you for reading the manuscripts with so much dedication. We have processed all your feedback in both manuscripts.

2. Line 84-85: Were these measurements from the two systems synchronized?

Yes, all three systems were hardware time synchronized which was not clearly described before. We added a short section on time synchronization in the method section and a more detailed section in the supplementary materials.

3. Line 108-111: Elevation of the heel and toe markers of 1mm may also be due to landing and breakover characteristics. e.g. the rotation of the hoof may lift the toe marker during breakover by more than 1 mm before the toe lifts.

Thank you for your feedback. We agree that 1mm is a small elevation. The toe-off and heel-off timings are determined in another study with this method (1). During the analysis, we have not seen any large differences between the force derivate and the OMC system, Table 2, nor between both algorithms and the OMC system, Table 1. Furthermore, the markers are firmly attached to the hoof which is very close to the ground and no skin artefacts are possible on this location. In addition, the horses are walked and trotted over a hard surface. Therefore, we had no reason to doubt the toe-off and heel-off timings used during this study.

4. Line 113-114: Please expand on this statement or rewrite it, as it is unclear what ‘the same preprocessing procedure’ is.

Line 120-121: As above.

Thank you for your comment. We have added a more detailed description about the preprocessing procedure of the force plate data and IMU data in the method section. More details are also provided in the companion paper (2).

5. Line 132-133: How was a factor of 1.96 established in the first place? Was this based on something about the signal? i.e. did you quantify random noise magnitudes? Or was this done using an iterative process, based on observation of data? Please expand to provide an explanation/justification.

We used 1.96 because we assumed that the values of the IMU signal was normally distributed. The threshold is calculated to detect the upper 2.5% of the signal to be sure that no random noise was detected. We have added this description in line 153-155.

6. Table 1: There is a mistake in the way the table is displayed for walk/trot Model 5.

No this is not a mistake; it follows from the lack of significant interaction term between gait and hoof in the model. The estimated values are depicted for the two hooves and gaits separately here. We explained this in more detail in line 237-239.

7. Line 217-219: Please clearly indicate in the methods your definition of accuracy and precision (i.e. how did you measure this?).

Thank you for your noticing. We have added a definition to the methods section in line 186 and 189.

8. Line 245: The predicted values are all positive in the table?

Yes, you’re right. Thank you for noticing.

9. The overall discussion gives me, to some extent, the impression of vagueness in relation to choice of methods to compare against. It may be better at the outset to state which is the gold method for stance phase detection first.

One might expect the most accurate stance phase detection method to be the force plate, as kinematic detection methods usually suffer from inaccurate lift off timings, thereby altering the length of the breakover phase?

Thank you for your contribution to the discussion. Indeed, it’s hard to say which method is the proper gold standard to measure the break-over onset and this is not strongly described in the literature either. There are many aspects that effects the break-over onset, for example gait, hoof/limb -conformation and horse. The force plate is considered the gold standard for kinetic measurements. In the companion paper (2), we used the force plate as gold standard for the hoof-on and hoof-off detection and we determined the stance duration as the time in between. However, determining the hoof-on and -off timings was subjective since a threshold was needed. Based on the value of this threshold, hoof-on and hoof-off timings were detected earlier or later, and stance durations became longer or shorter. The OMC system is considered the gold standard for kinematic measurements which can be used for position and rotation measurements. For the OMC system, it’s not clear whether to interpret toe-on or heel-on as hoof-on and toe-off or heel-off as hoof-off. Furthermore, to determine these toe-off and heel-off timings, a threshold of 1 mm elevation was used for both markers which is subjective but necessary. Also, we only look at the lateral side of the hoof, eliminating medial roll patterns. In this paper, we used heel-off as the break-over onset and toe-off as hoof-off moment. Since the force plate is widely used in the clinics and a flattening in the decrease of the vertical force was seen, we propose a method (first derivative) to analyse start of break-over phase from the vertical force signal. This is a novel approach to detect the break-over onset and therefore we included both force plate and OMC system as comparison. We have added this discussion point more clearly in the discussion section.

10. In order to reference your break over timings (i.e. where they occur during each stance phase) I assume you will need to know the stance phase timings? Did stance phase detection timings have an influence on break over detection methods?

Thank you for your feedback. It’s not clear to me what you mean by stance phase timings. In the companion paper (2), hoof-on and hoof-off timings were detected from the vertical force, acceleration and angular velocity signals. The stance phase durations were calculated as the time between hoof-on and hoof-off. The accuracy of break-over onset detection in relation to the stance duration was not yet described and we have added a paragraph about this in line 334-340. Please be aware that we only described break-over onset timings and not break-over durations. We expected that break-over duration changes with different walking velocities, gaits, hoof shapes and different surface properties as described in the introduction (line 46-48) and mention in the discussion section. Additionally, we now include estimated break-over durations for all methods, along with the relative duration as percentage of the corresponding stance duration, in Table S1-S4 of the supplementary materials.

11. For the hind hoof, as there is greater potential for slide and stop, did this influence your findings?

The results did not show a clear difference in performance for the front and hind hoof. With the OMC system as reference, the performance of both algorithms was better for the hind hoof. With the force derivative as reference, the performance of the acceleration algorithm was better for the front hoof in both gaits and for the angular velocity algorithm the performance was better for the front hoof in walk and for the hind hoof in trot. Furthermore, the break-over onset is measured prior to the hoof-off and after hoof-on which might the reason that no effect of slide and stop was found. In addition, valid hoof impacts were chosen by the researchers performing these measurements and steps were the horse was slipping and sliding were not included for further data collection.

12. Were the stance phase lengths all the same? Did you use just one method to identify the stance phase and then apply that to all data or did you use the timings from each individual method?

The stance durations are determined in the companion paper based on three methods; the vertical force, acceleration and angular velocity signals (2). The stance durations differ between gaits, hooves and horses since horse needed to be included as a random effect for the linear mixed model analysis. For this paper, we did not use the stance phase duration to detect the break-over onset.

13. You used a lateral marker configuration for the OMC system, how might this have been a limitation? Do all horses rotate laterally over the toe?

Studying different hoof unrollment patters was beyond the scope of this paper. We wanted to show that we could detect the onset of the break-over phase based on these signals with these algorithms. Therefore, we calculated the Euclidean norm, resulting in a one-directional signal, to conceal different hoof- and leg conformations.

14. Additionally, the accuracy and precision are reported a number of times, but no indication of the effect or magnitude of this potential ‘error’ are given. e.g. the accuracy would provide a max of a % of the stance phase difference in breakover timing either before or after the actual event etc.

Yes indeed, there are no magnitude of error are given because we only detect the break-over onset and not the duration. We have been thinking about how to calculate this magnitude of error since the break-over duration depends on hoof characteristics, gait and horse. So, an average break-over duration is not a possible here. The break-over duration can be determined for every measurement and compared with the break-over onset detection but that does not give an indication of the accuracy and precision either. Furthermore, the needed accuracy and precision depends on the gait of the horse and the application you want to use it for. Very subtle changes might be expected in case of lameness. The unrollment pattern is of more importance for hoof trimming purpose, although a more three-dimensional view would be more optimal than our presented lateral side. Furthermore, for these purposes a within horse comparison should be made and this was beyond the scope of this paper. For this paper, we only wanted to develop an algorithm that was able to detect the break-over onset.

Reviewer #2:

The Authors investigate an experimental set-up to automatically detect from the signals of hoof-mounted inertial measurement units (IMU) the break-over phase onset. Two algorithms are derived from the available IMU data (acceleration and angular velocity), referred to as acceleration algorithm and angular velocity algorithm. As validation of this approach, the data obtained from optical motion capture (OMC) in terms of hoof displacements and from a force plate in terms of the first time derivative of the vertical force are used. Linear mixed model analysis has been performed to assess the performance of the algorithms regarding the validation data. The manuscript is well written and structured, only minor corrections (with respect to grammar and presentation of the methodology) should be applied. Before publication, the following comments should be considered by the Authors in a revised version of the manuscript:

1) Line 22: Check word repetition ‘of a of a’ in the Abstract.

Line 110: There is a problem with ‘to the find the...’.

Line 117-118: The sentence should be checked (grammar).

Line 24: Please check the manuscript for consistency regarding the use of ‘algorithm’ (singular) and ‘algorithms’ (plural). Sometimes, ‘one algorithm’ is proposed and used, sometimes ‘the algorithms’ are employed. See also Comment 17.

Line 48 ‘..., although it can also ... indicating on...’: This sentence is hard to read in its current form. ‘although’ as well as ‘on’ in combination with ‘indicate’ have to be deleted.

Line 61: Replace ‘helpful with determining’ by ‘helpful for determining’.

Thank you for reading the manuscripts with so much dedication. We have processed all your feedback in both manuscripts.

2) Line 33: In addition to the absolute values for accuracy and precision given in the Abstract (and in the Discussion section Lines 299-301), relative values in percent (e.g. ratio of absolute values compared to the timespan of the break-over phase) might be helpful to judge the applicability of the proposed algorithms. If the timespan of the break-over phase is not a direct outcome of the presented algorithms, at least a general estimation/indication of the typical timespan of the breakover phase should be provided.

Thank you for your suggestion. As already answered to the other reviewer, relative values for accuracy and precision cannot be calculated because the break-over duration depends on hoof characteristics, gait and horse. So, an average break-over duration is not a possible here. The break-over duration can be determined for every measurement and compared with the break-over onset detection but that does not give an indication of the accuracy and precision either. However, we have added 4 tables with break-over durations for the different hooves and gaits in the supplementary material to give the reader some feeling with break-over durations. Furthermore, in Fig. 1 a general illustration is given of the hoof movements during stance phase and the break-over onset is indicated with a dotted line.

3) Line 41: For the illustration of the explanation of the break-over phase, the Authors might already refer to Fig. 1A at this text position.

Thank you for your suggestion, we now refer to Fig. 1A in line 41.

4) Line 52: Please check if the statement ‘are able to measure’ is correct here. What are the raw data of OMC systems and IMU, i.e. rotations of the hoof or other quantities from which the rotation is derived? See also Comments 7 and 8.

Line 53, see also Comment 6: Here, it is stated that the OMC system measures the position/displacement of markers, hence, no rotations.

Line 54, see also Comment 6: Here, it is stated that the IMU measure acceleration and angular velocity, no rotations.

Thank you for your feedback, the OMC system measures displacement of the markers and the IMUs measure acceleration and angular velocity. So, rotations of the hoof are not literally measured, and we changed this statement to “rotations of the hoof can be derived …” (line 54-55).

5) Line 56: The sentence part with ‘artifacts and inaccuracies...’ should be replaced by e.g. ‘noise in the input data and unknown initial conditions might affect the integration and lead to inaccurate results...’

Thank you for your input, we have added your suggestion to line 60.

6) Line 93: It should be mentioned which ‘derivative’ with respect to which quantity has been used, i.e. ‘... the first derivative of this signal with respect to time’?

You’re right, we forgot to mention that the first derivative is calculated with respect to time. We have now added this description in line 113.

7) Line 96: ‘force plate and first derivative of the force plate’: Compared to the other figure caption parts, the depicted quantities, i.e. vertical force and first derivative of the vertical force, should be mentioned here in the caption, not ‘force plate and its derivative’.

Line 97, see also Comment 12: Replace ‘OMC system’ in the figure caption by e.g. ‘rotation/displacement from the OMC system’ and add ‘(E)’. Or which quantities are depicted in Fig. 1E?

Thank you for your suggestion, we agree and changed the caption of this figure (line 115).

8) Line 130: For the equation, symbols instead of the words should be used. Subsequently, introduce/explain the symbols of the equation in the text.

We have replaced the words with symbols.

9) Line 136, see also Comment 18: Here, the two proposed algorithms, i.e. the ‘acceleration algorithm’ and the ‘angular velocity algorithm’, should be already introduced. Please state also clearly that these algorithms are compared to the validation methods, i.e. ‘OMC system data and the vertical force derivative of the force plate measurement’. In the current version, it is not clear why the new term ‘functionalities’ (better: refer to ‘algorithms’?) is used and the information in bracket is not nicely structured, i.e. mixes prediction methods with validation methods.

Line 140: Here, the word ‘algorithms’ is used instead of the term ‘functionalities’, see also Comment 17.

Line 161: Please consider replacing ‘functionalities’ by the algorithms, see also Comment 17.

Thank you for your comments. You’re right, the use of ‘functionalities’ does not make the methods clearer. We changed ‘functionalities’ to ‘both algorithms’ and ‘OMC and force derivative’ respectively in line 163-165 and line 200. Furthermore, we changed the sentences with the brackets to improve readability.

10) Line 141: Since the rest of the manuscript focuses on this assessment, some more details about the theory of the ‘model building and reduction procedure’ should be provided in the manuscript.

We have added a more detailed description about the linear mixed model analysis in the method section. More details are also provided in the companion paper.

11) Lines 154-156: Is this not already expressed in the paragraph before? What is the difference to Lines 145-153, where ‘reference measurement’ is used?

We apologize for the confusion, we tried to explain that first the algorithms are compared with the OMC system and force derivative over time. Thereafter, we compared the OMC system with the force derivative over time. We changed this description in line 180, we hope the description is more clearly now.

12) Line 187: Explain the term ‘models’ in more detail.

We meant to say that the residuals of the linear mixed models were normally distributed. We hope that the description is now easier to understand (line 233).

13) Table 1: What are Models 1 to 3, why starting with Model 4? If the Authors change the model names (numbers), please adapt also references to these models in the rest of the manuscript.

We forgot to change the numbering after rewriting the manuscripts. Thank you for noticing.

14) Although a Conclusion section is optional for this journal, the Authors should think about splitting the Discussion section into ‘Discussion’ and ‘Conclusion’, e.g. starting from Line 295.

We agree, we have added a conclusion section to both manuscripts.

15) Fig. 1: Place the legend ‘first derivative’ also in the area of Fig. 1D so that this legend is not associated with (the area of) Fig. 1E.

Thank you for your suggestion, we have changed the location of the text in the figure. 

References:

1. Braganca FM, Bosch S, Voskamp JP, Marin-Perianu M, Van der Zwaag BJ, Vernooij JCM, et al. Validation of distal limb mounted inertial measurement unit sensors for stride detection in Warmblood horses at walk and trot. Equine Vet J. 2017;49(4):545-51.

2. Tijssen M. A method for automatic hoof-event detection in horses based on hoof-mounted inertial measurement units. Submitted to PLOS ONE. 2020a, companion paper.

Attachment

Submitted filename: Response to Reviewers B.docx

Decision Letter 1

Chris Rogers

11 May 2020

Automatic detection of break-over phase onset in horses using hoof-mounted inertial measurement unit sensors

PONE-D-19-28210R1

Dear Dr. Tijssen,

We are pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it complies with all outstanding technical requirements.

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Academic Editor

PLOS ONE

Additional Editor Comments (optional):

Many thanks for your edits to the manuscript. Well done on turning around the edited manuscripts within the relatively tight time frame.

Reviewers' comments:

Acceptance letter

Chris Rogers

14 May 2020

PONE-D-19-28210R1

Automatic detection of break-over phase onset in horses using hoof-mounted inertial measurement unit sensors

Dear Dr. Tijssen:

I am pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

If your institution or institutions have a press office, please notify them about your upcoming paper at this point, to enable them to help maximize its impact. If they will be preparing press materials for this manuscript, please inform our press team within the next 48 hours. Your manuscript will remain under strict press embargo until 2 pm Eastern Time on the date of publication. For more information please contact onepress@plos.org.

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Thank you for submitting your work to PLOS ONE.

With kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Chris Rogers

Academic Editor

PLOS ONE

Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Appendix. Additional information.

    Document with additional information about the population, data collection and synchronization of all the measurement systems.

    (DOCX)

    S2 Appendix. Dataset.

    Excel file with hoof-on, hoof-off and break-over data.

    (XLSX)

    S1 Fig

    Preprocessed signals of the force plate, vertical force (A) and the first derivative of the vertical force (B), the acceleration (C) and angular velocity (D) signals of the IMU, and vertical displacement signals of the heel and toe markers of the OMC system (E) from one hoof from one measurement in trot. The hoof-on events are depicted with upward-pointing triangle markers, hoof-off events are depicted with downward-pointing triangle markers and break-over onset events are depicted with diamond shaped markers. For the OMC data, break-over onset events are depicted were the heel of the hoof leaves the ground and hoof-off events are depicted were the toe of the hoof leaves the ground.

    (TIF)

    S1 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right front hoof in walk.

    Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

    (DOCX)

    S2 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right hind hoof in walk.

    Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

    (DOCX)

    S3 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right front hoof in trot.

    Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

    (DOCX)

    S4 Table. Break-over durations per trial in milliseconds (ms) and relative to stance duration (%) for right hind hoof in trot.

    Tables with break-over durations. Tables with break-over durations per trial in milliseconds (ms) and relative to corresponding stance duration (%) as detected with the acceleration and angular velocity algorithms, force derivative and OMC system for every hoof and gait combination.

    (DOCX)

    Attachment

    Submitted filename: Response to Reviewers B.docx

    Data Availability Statement

    All relevant data are within the manuscript and its Supporting Information files.


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