Abstract
Temporal phases of threat response including Potential Threat (Anxiety), Acute Threat (Startle, Fear), and Post-threat Response Modulation have been identified as underlying markers of anxiety disorders. Objective measures of response during these phases may help identify children at risk for anxiety, however the complexity of current assessment techniques prevent their adoption in many research and clinical contexts. We propose an alternative technology, an inertial measurement unit (IMU), that enables non-invasive measurement of the movements associated with threat response, and test its ability to detect threat response phases in young children at heightened risk for developing anxiety. We quantified the motion of 18 children (3–7 years old) during an anxiety/fear provoking behavioural task using an IMU. Specifically, measurements from a single IMU secured to the child’s waist were used to extract root-mean-square acceleration and angular velocity in the horizontal and vertical directions, and tilt and yaw range-of-motion during each threat response phase. IMU measurements detected expected differences in child motion by threat phase. Additionally, potential threat motion was positively correlated to familial anxiety risk, startle range of motion was positively correlated with child internalizing symptoms, and response modulation motion was negatively correlated to familial anxiety risk. Results suggest differential theory-driven threat response phases, and support previous literature connecting maternal child risk to anxiety with behavioural measures using more feasible objective methods. This is the first study demonstrating the utility of an IMU for characterizing the motion of young children to mark the phases of threat response modulation. The technique provides a novel and objective measure of threat response for mental health researchers.
Index Terms: Mental Health, Inertial Sensors, Wearable Sensors, Child Anxiety, Fear
I. Introduction
Child anxiety is a widespread problem with studies showing that by age 12, up to 41% of children have experienced an anxiety disorder [1]. Early identification of these disorders improves the efficacy of intervention efforts [2]. Unfortunately, children under age 8 are not reliable reporters of their own anxiety [3], which leaves symptom reporting up to parents. However, parental report of child emotional problems are often inaccurate (i.e. [4]). Thus, researchers have looked to elicit observable markers of child anxiety using minimal-risk threat induction tasks to ultimately improve the reliability of anxiety assessment. Specifically, response to potential threat (anxiety), initial response to a known threat (startle response) [5] and “response modulation” (tempering the initial response) [6], have been identified as underlying markers of risk for anxiety disorders [7]–[9]. However, research is still limited by the scarcity of standardized, objective assessments for anxiety-relevant constructs in young children.
Objective assessments of child threat response phases currently include behavioral coding and physiological measures of startle including eye blink and muscle contraction. Child behaviors [10] are coded for anxiety and fear during standardized threat tasks, but these constructs are often referred to interchangeably [10]–[12]. While this aggregate fear/anxiety construct has been linked to familial risk for internalizing disorders in young children (e.g., [13]) and parent-reported child fear and internalizing symptoms [14], it does not discriminate the three distinct threat phases. Similarly, the startle phase is commonly measured using the Fear Potentiated Startle (FPS) technique, where electrodes quantify muscle activity during unpleasant stimuli [8], but this technique cannot be used to assess the other phases of threat response. With that said, eye blinks (i.e., small muscle contractions) have been related to child anxiety risk [8], and elevated child anxiety symptoms [7]. However, one study demonstrated that muscle group contractions were also significantly enlarged in children with anxiety compared to controls, suggesting measurement of full body motion may be used to examine initial threat response [9].
While these methodologies can detect threat phase data and predict anxiety risk, their use remains challenging due to personnel, time, expense, and data fidelity (e.g., 38% of FPS data are unusable due to child fidgeting [8]) issues. Moreover, their complexity hinders eventual translation to clinical applications. Therefore, there is significant motivation to find a measure that reduces these barriers while providing sufficient sensitivity to expose the links between potential threat, startle, and response modulation behaviors and anxiety risk.
To this end, we propose the use of an inertial measurement unit (IMU) for measuring child motion quickly and inexpensively during clinical mood induction tasks. The IMU provides direct measurement of the full six degree-of-freedom motion of any body segment to which it is attached [15], [16], and can therefore be used for characterizing child behavior in a variety of contexts. Our hypothesis is that data from an IMU can be used to quantify the nuanced child behaviors inherent to the temporal threat response phases. Herein, we test this hypothesis by examining the relationship between movement parameters extracted from IMU data and the temporal constructs of threat response in a sample at heightened risk for developing anxiety: children of parents with post-traumatic stress disorder (PTSD) [17], and children with elevated internalizing symptoms [18].
II. Methods
A. Participants
Participants included 18 children (13 male) aged 3–7 years (M: 5.68, SD: 1.03) and their primary caregivers (16 mothers). Participants were recruited from a prior study (Maternal Anxiety During the Childbearing Years, PI: Muzik) of mothers with PTSD and from flyers in the community/psychiatry/psychology clinics. Thus, 47% of caregivers had a diagnosis of PTSD. Studies had approval from the University of Michigan Institutional Review Board (HUM00091788; HUM00033838). At-risk children were over-recruited in order to compare objective assessments to a wide range of symptomatology.
B. Protocol
The child and caregiver were brought into the university-based laboratory and consented to complete a videotaped threat response task with an IMU secured to the child’s waist. Meanwhile, the caregiver completed multiple self-report questionnaires. Parents, but not children, were informed of the Snake Task to ensure a novel reaction from each child.
C. Measures
The Snake Task lasts approximately 1.5 minutes, and has been previously shown to induce anxiety and fear in children [19], [20]. The task was temporally segmented into three threat response phases:
-
Potential Threat
When entering a novel, dimly lit room, the administrator whispers to the child, “There’s something I want to show you in this room.” The administrator then slowly steps forward into the middle of the room, gesturing the child to stand still in front of a covered terrarium. The administrator whispers, “I’m going to uncover it now” and steps toward the terrarium.
-
Startle
The administrator quickly uncovers the terrarium and pulls the fake snake out toward the child at their eye level. The administrator then says, “See it’s fake, you can touch it”.
-
Response Modulation
The administrator continues holding the snake for the child to see, reassures verbally as needed (e.g., “It’s just a silly toy snake.”), and waits in the room before gesturing the child to leave the room with them.
After the Snake Task, children transitioned to free play with the administrator to regulate and debrief about their experience.
D. Questionnaires
The Child Behavior Checklist 1.5–5 and 6–18 (CBCL) [21] was used to assess internalizing symptoms. Symptoms include anxious and depressed problems (e.g., “fearful”, “feels worthless”), withdrawn and depressed problems (e.g., “sad”, “lacks energy”), and somatic complaints (e.g., “nightmares”, “overtired”). Internalizing broadband scores were standardized into ‘T scores’ respective to child age and sex. No child met the threshold T score of 70 which would indicate a clinical disorder.
PTSD was assessed using the National Women’s Study PTSD Module [22], which yields a score related to the number and severity of symptoms caused by a traumatic event (continuous scale, 0–17). This score is an aggregate measure of symptoms clustered into three categories: Re-experiencing (e.g., flashbacks/nightmares of the event), Hyper-arousal (e.g., insomnia, exaggerated startle response), and Avoidance (e.g., efforts to avoid reminders of trauma, detachment).
E. Instrumentation and Data Processing
Motion of each participant was tracked using a belt-worn inertial measurement unit (3–Space Sensor, YEI Technology, Portsmouth, OH, USA). Measurements from the accelerometer and angular rate gyro of the IMU are defined as a⃗M and ω⃗M, respectively. The angular rate gyro measurements can be modeled as a linear combination of the angular velocity (ω⃗), a time-varying bias (ω⃗b), and white measurement noise (n⃗ω) as per
| (1) |
Similarly, the accelerometer data can be modeled as a linear combination of translational acceleration (a⃗), the acceleration due to gravity (g⃗), and white measurement noise (n⃗a) as per
| (2) |
These values are reported in a body-fixed frame FM characterized by the orthonormal vector triad (x̂M, ŷM, ẑM, see Fig. 1) and assumed to be roughly aligned with the anatomical axes of the body (Anterior-Posterior : ẑM, Medial-Lateral : x̂M, Longitudinal : ŷM). Data were sampled by the device at approximately 300 Hz, down-sampled to 100 Hz, and low pass filtered using a 4th order Butterworth IIR filter with a cutoff frequency of 20 Hz in software prior to use.
Fig. 1.

Belt worn IMU secured to participant. Body-fixed device measurement frame (FM) and ground-fixed inertial frame (FG) are as illustrated.
To help quantify the motion of each participant, we define an inertial frame FG characterized by the orthonormal vector triad (x̂G, ŷG, ẑG, see Fig. 1) where ẑG is aligned with gravity. The quaternion (q⃗) defining the relationship between FG and FM is calculated following the complementary filtering technique described in [23] and evolves from a short period of time at the beginning of the task where each participant was asked to stand still. This initial condition enables numerical solution of the system of ordinary differential equations that describe the evolution of the angular rate gyro bias and quaternion, respectively, as per
| (3) |
| (4) |
where KI is an adaptive gain, θ⃗ is a time-varying error term that captures the angular difference between the direction of gravity identified with each data source, ⊗ refers to the quaternion multiplication operation, and q⃗ω⃗′ is the quaternion representation of the estimated angular velocity. This angular velocity is defined as
| (5) |
where KP is an adaptive gain, and the quaternion representation of ω⃗′ = ω′ x x̂M + ω′ y ŷM + ω′ z ẑM + is defined as
| (6) |
Fundamentally, the complementary filtering algorithm described in (3)–(5) fuses error-prone orientation estimates from the accelerometer and angular rate gyro to yield an accurate orientation estimate with bounded error. Additional details regarding this approach are presented in [23].
The resulting quaternion is used to resolve the measured acceleration and angular velocity in FG as per
| (7) |
where q⃗* is the conjugate1 of q⃗, and q⃗M and q⃗G are quaternion representations of vectors resolved in FM and FG, respectively. Accelerometer and angular rate gyro measurements resolved in FG are defined as a⃗G and ω⃗G, respectively. The translational acceleration of the participant, sampled at the location of the IMU and resolved in FG, is then defined as
| (8) |
where a⃗ is the translational acceleration and g = 9.81 m/s2.
F. Data Segmentation
The approximate startle instant was identified manually in a video recording of the task for each participant and the corresponding point was then identified in the inertial sensor data. The IMU data was aligned with the video using several synchronization events including participant transitions from resting to moving. As indicated in Fig. 2, the startle period was defined as the six seconds immediately surrounding the identified startle instant (three seconds before and three seconds after). The potential threat and response modulation periods were then defined as the 20 seconds immediately before and after the start and end of the startle period, respectively.
Fig. 2.
Vector magnitude of accelerometer measurement with the potential threat, startle, and response modulation periods (and corresponding images) indicated.
G. Movement Indicators
Data from the IMU were used to calculate a series of six movement indicators for each analysis period. Calculation of these quantities begins by defining the vertical component and horizontal magnitude of the acceleration and angular velocity as per
| (9) |
| (10) |
| (11) |
| (12) |
where aV and aH are the vertical component and horizontal magnitude of the translational acceleration, respectively, and ωV and ωH are the corresponding angular velocity quantities. These quantities represent time series during each threat response phases. We reduce dimensionality by taking the root mean square (rms) of each time series during each phase. The horizontal and vertical acceleration movement indicators are then defined as , and during potential threat, startle, and response modulation, respectively. Similarly, the horizontal and vertical angular velocity movement indicators are defined as , and during potential threat, startle, and response modulation, respectively.
The next series of movement indicators are based on the tilt angle (α), which is an approximate measure of the tilt of the subject’s waist/torso from vertical. This quantity is defined as the angle between ŷM and ẑG at every instant during the task, and is calculated as per
| (13) |
where R(·) is a rotation operator that transforms a vector resolved in FM to FG as per (7). We define the tilt angle movement indicator as the range of α during the corresponding threat response phase, where , and are the tilt range of motion (rom) during potential threat, startle, and response modulation, respectively. The final series of movement indicators are based on the yaw angle (γ), which is an approximate measure of the direction the subject’s waist/torso is pointing within the plane of the floor. The yaw angle is calculated by considering the projection of ẑM onto the horizontal plane as per
| (14) |
The yaw angle is then defined as the angle between the current (ẑMproj) and initial (ẑMproj(0)) projection of ẑM onto the horizontal plane as per
| (15) |
We define the yaw angle movement indicator as the range of γ during the corresponding threat response phase, where , and are the yaw rom during potential threat, startle, and response modulation, respectively.
H. Statistical Analysis
Descriptive statistics including means, kurtosis, and skewness were calculated on the six movement indicators across the three phases, as well as familial PTSD symptoms and child internalizing symptoms (see Table I). All variables met normal assumptions with the exception of (kurtosis 3.41, SE 1.04) and (kurtosis 3.27, SE 1.04), which were corrected after being log transformed. Movement indicators were correlated across phases, familial PTSD symptoms, and child symptoms. Significance for all analyses were interpreted at p < 0.05.
TABLE I.
Descriptive Statistics for Child Motion and Familial and Child Anxiety Risk Factors
| Measure (Units) | Range | Mean (SD) |
|---|---|---|
| (m/s2) | 0.60–3.91 | 1.41 (0.91) |
| (m/s2) | 0.39–3.38 | 1.18 (0.97) |
| (deg) | 10.52–82.72 | 27.87 (19.81) |
| (deg) | 42.49–179.98 | 99.15 (44.89) |
| (deg/s) | 12.05–56.45 | 26.96 (12.71) |
| (deg/s) | 13.13–70.07 | 35.65 (16.72) |
|
| ||
| (m/s2) | 0.30–11.84 | 3.23 (3.03) |
| (m/s2) | 0.25–7.25 | 2.76 (2.38) |
| (deg) | 1.97–32.26 | 16.69 (10.25) |
| (deg) | 1.16–179.79 | 86.30 (60.00) |
| (deg/s) | 1.79–170.80 | 65.99 (54.71) |
| (deg/s) | 1.20–198.79 | 60.42 (47.96) |
|
| ||
| (m/s2) | 0.47–4.77 | 1.72 (1.24) |
| (m/s2) | 0.35–4.73 | 1.48 (1.23) |
| (deg) | 8.15–59.20 | 23.49 (14.75) |
| (deg) | 20.03–179.98 | 108.08 (56.26) |
| (deg/s) | 6.98–130.16 | 35.69 (32.43) |
| (deg/s) | 13.50–74.61 | 37.14 (19.58) |
|
| ||
| Familial PTSD Symptoms | 0–12 | 5.65 (3.59) |
| Re–experiencing Symptoms | 0–4 | 1.35 (1.11) |
| Avoidance Symptoms | 0–4 | 1.88 (1.62) |
| Hyper-arousal Symptoms | 0–5 | 2.41 (1.54) |
|
| ||
| Internalizing Symptoms | 33–69 | 44.75 (9.54) |
III. Results
In addition to the descriptive statistics reported in Table I, tables show results of bi-variate correlation matrices for Inter-correlated Motions (Table II), and Motions by Child Anxiety Risks (Table III).
TABLE II.
Bi-Variate Correlation Matrix of Motion Factors in startle and Response Modulation Phases (N=18)
|
|
|
|
|
|
|
|||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
|
|
.667 | .685 | .336 | .415t | .554 | .550 | ||||||
|
|
.705 | .738 | .388 | .415t | .555 | .514 | ||||||
|
|
.380 | .306 | .461t | .445t | .388 | .317 | ||||||
|
|
.503 | .493 | .257 | .238 | .238 | .310 | ||||||
|
|
.673 | .714 | .455t | .353 | .636 | .524 | ||||||
|
|
.675 | .685 | .195 | .399t | .466 | .521 |
Note: Bold indicates p<0.05,
indicates trend at p<0.10,
indicates variable is log transformed
TABLE III.
Bi-Variate Correlation Matrix of Motion Factors by Child Anxiety Risk Factors
| Familial PTSD Symptoms (n=17) | Child Symptoms (n=16) | |||||
|---|---|---|---|---|---|---|
|
| ||||||
| Motion | Total PTSD | Re-experiencing | Avoidance | Hyper-arousal | Internalizing | |
|
|
−.363 | .421t | −.051 | −.487 | −.001 | |
|
|
.227 | −.359 | .044 | −.314 | −.138 | |
|
|
.210 | .065 | .396 | .026 | −.150 | |
|
|
−.290 | −.337 | −.135 | −.288 | .481t | |
|
|
−.246 | −.451 | .076 | −.325 | −.136 | |
|
|
−.399 | −.519 | −.067 | −.484 | .26 | |
|
|
.293 | .187 | .251 | .282 | .347 | |
|
|
.145 | .059 | .272 | .009 | .303 | |
|
|
.230 | .226 | .147 | .216 | −.052 | |
|
|
.032 | −.123 | .145 | .012 | .512 | |
|
|
.110 | .095 | .181 | −.001 | .361 | |
|
|
.260 | .126 | .362 | .113 | .248 | |
|
|
.277 | .186 | .417t | .072 | .496t | |
|
|
.366 | .306 | .477t | .131 | .459t | |
|
|
.249 | .294 | .291 | .061 | .385 | |
|
|
.554 | .473t | .543 | .379 | .320 | |
|
|
.449t | .564 | .374 | .245 | .361 | |
|
|
.424 | .446t | .350 | .297 | .399 | |
Note: Bold indicates p<0.05,
indicates trend at p<0.10,
indicates variable is log transformed.
IV. Discussion
The measures extracted from IMU data for each subject provide unique insight into each participant’s distinct movements. Specifically, the horizontal and vertical acceleration rms measures indicate the intensity of translational motion in the horizontal plane and vertical direction, respectively. Similarly, the horizontal and vertical angular velocity rms measures indicate how fast a subject is leaning forward and backward (and left and right although this behavior was less common in the study sample). The tilt and yaw rom measures indicate how far each participant leans forward and backward and turns left and right, respectively. Motion during potential threat was procedurally characterized by slow approach to an unknown stimulus, so the associated movement indicators provide context for interpretation of subsequent, more abrupt movement in the startle and response modulation phases. Based on the data reported in Table I, the horizontal and vertical acceleration measures during startle are 2–3x those during potential threat (mean and ), and with significantly increased variability across the sample (standard deviation and ), indicating that the acute threat introduced during startle yielded a substantial and varied change in participant behavior.
The correlations reported in Table II demonstrate that there is carryover between startle and response modulation, where subjects who exhibit higher motion intensity ( ) and leaning/turning speed ( ) during startle exhibit similar behavior during response modulation, as evidenced by the significant, positive correlations. This suggests that the 20-second duration response modulation phase may be too short for participants with the largest physical reactions to acute threat to return to a behavioral baseline. Similarly, participants with the largest yaw rom during startle ( ) exhibit higher motion intensities ( ) during response modulation, as evidenced by significant, positive correlations. This movement pattern suggests that participants who respond to the acute threat by turning their body (maximizing yaw rom) follow this reaction by then quickly moving away during the response modulation phase.
Interestingly, child anxiety risk factors as characterized by familial PTSD symptoms (total score and/or symptom clusters), were significantly negatively associated with potential threat motion (less leaning ( ) and turning ( ) speed, less horizontal motion intensity ( )), but significantly positively associated with response modulation motion (more leaning ( ) and turning ( ) speed, larger turning range of motion ( )). These differential correlations demonstrate the sensitivity of this technology to these constructs, while connecting them to familial PTSD symptoms in directions consistent with prior research (i.e., freezing behaviors in response to potential threat [24]; emotional dysregulation in the face of acute threat [25]).
Child internalizing symptoms were significantly related to startle turning range of motion ( ), such that children were turning their entire body away from the trigger ( nearly 180 deg.), and thus effectively avoiding the threat, in the three seconds post reveal. This motion, and timing, suggests a heightened physiological reactivity to acute threat, supporting previous FPS work demonstrating that children with internalizing risk have a more pronounced eye blink startle response (shutting their eyes in a defensive reflex) in the moments post reveal [7]–[9]. The immediate nature of this heightened startle reactivity suggests that the child’s own internalizing symptoms may represent a biological/physiological sensitivity to acute threat. In contrast, correlations between variables within the Potential Threat or Response Modulation phases with familial PTSD may suggest learned environmental attunement from modeled parental behaviors. Moving forward, movement indicators extracted from IMU data during the 6-second startle period could be validated as an alternative, more feasible method for examining startle response.
More broadly, these results demonstrate the efficacy of this 2-minute startle task, meant to press for indicators of emerging psychopathology that are not readily observable during ordinary circumstances. While startle tasks are commonly used in child research, and present only minimal risk to participants, it is important to ensure that children are given the opportunity to debrief and discuss any induced anxiety following the task. In the current study, we address this concern in two ways. First, during the lab visit, participants engaged in positive mood induction tasks in addition to the anxiety inducing startle task, in an effort to present a balanced range of emotional expression. Second, following the startle task, administrators briefly discussed the child’s experience with them and validated their expressed emotions in an effort to aid child startle recovery. While there was no immediate benefit for participants besides compensation/toy gifts, parents and children were informed that this research could help future children by improving clinical assessment, and that induced anxiety plays a pivotal role in accomplishing this objective.
Future studies should increase sample size and compare motion results with FPS eye blink outcomes, coded child anxiety/fear behaviors, and other indicators of child anxiety risk. Nevertheless, the results presented herein demonstrate that an IMU can be used for measuring child motion quickly and inexpensively during clinical mood induction tasks, and that these measurements correlate with risk for developing mood and anxiety disorders. This is especially salient as these young patients are unable to effectively self-report their emotional needs [3], which often prevents early detection of risk. It is important to identify risk early as it improves the efficacy of prevention and intervention efforts [2]. In sum, this indicates the promise of this technology as a supplemental behavioral assessment tool for anxiety and mood disorders in clinical research and practice, and at a small fraction of the cost, time, and effort associated with existing techniques (i.e. FPS, behavioral coding).
V. Conclusion
In this proof of concept study, we characterized the movements of young children during a fear induction task using a belt-worn IMU. We demonstrate that this technology, and the extracted movement parameters, provides sufficient sensitivity to discriminate the temporal constructs of potential threat, startle to acute threat, and response modulation following threat in a sample of children with heightened risk for anxiety.
Acknowledgments
This work was supported in part by NIMH K23-MH080147 (PI: Muzik); Michigan Institute for Clinical and Health Research (UL1TR000433, PI: Muzik; Biomedical and Social Sciences Scholar Program PI: E.W. McGinnis); Blue Cross Blue Shield of Michigan Foundation Grant (1982.SAP, PI: E.W. McGinnis); Brain Behavior Research Foundation (PI: Fitzgerald); NIMH R03MH102648 (PI: Fitzgerald; Rosenblum).
Footnotes
For q⃗ = q0 + q1 x̂M + q2 ŷM + q3 ẑM, the quaternion conjugate q⃗* = q0 − q1 x̂M − q2 ŷM − q3 ẑM
Contributor Information
Ellen W. McGinnis, Department of Psychology, University of Michigan, Ann Arbor, MI USA.
Ryan S. McGinnis, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI USA and is now with the Department of Electrical and Biomedical Engineering, University of Vermont, Burlington, VT USA.
Maria Muzik, Department of Psychiatry, University of Michigan, Ann Arbor, MI USA.
Jessica Hruschak, Department of Psychiatry, University of Michigan, Ann Arbor, MI USA.
Nestor L. Lopez-Duran, Department of Psychology, University of Michigan, Ann Arbor, MI USA
Noel C. Perkins, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI USA
Kate Fitzgerald, Department of Psychiatry, University of Michigan, Ann Arbor, MI USA.
Katherine L. Rosenblum, Department of Psychiatry, University of Michigan, Ann Arbor, MI USA
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