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Adaptation effects in static postural control by providing simultaneous visual feedback of center of pressure and center of gravity

Abstract

Background

The benefit of visual feedback of the center of pressure (COP) on quiet standing is still debatable. This study aimed to investigate the adaptation effects of visual feedback training using both the COP and center of gravity (COG) during quiet standing.

Methods

Thirty-four healthy young adults were divided into three groups randomly (COP + COG, COP, and control groups). A force plate was used to calculate the coordinates of the COP in the anteroposterior (COPAP) and mediolateral (COPML) directions. A motion analysis system was used to calculate the coordinates of the center of mass (COM) in both directions (COMAP and COMML). The coordinates of the COG in the AP direction (COGAP) were obtained from the force plate signals. Augmented visual feedback was presented on a screen in the form of fluctuation circles in the vertical direction that moved upward as the COPAP and/or COGAP moved forward and vice versa. The COP + COG group received the real-time COPAP and COGAP feedback simultaneously, whereas the COP group received the real-time COPAP feedback only. The control group received no visual feedback. In the training session, the COP + COG group was required to maintain an even distance between the COPAP and COGAP and reduce the COGAP fluctuation, whereas the COP group was required to reduce the COPAP fluctuation while standing on a foam pad. In test sessions, participants were instructed to keep their standing posture as quiet as possible on the foam pad before (pre-session) and after (post-session) the training sessions.

Results

In the post-session, the velocity and root mean square of COMAP in the COP + COG group were lower than those in the control group. In addition, the absolute value of the sum of the COP − COM distances in the COP + COG group was lower than that in the COP group. Furthermore, positive correlations were found between the COMAP velocity and COP − COM parameters.

Conclusions

The results suggest that the novel visual feedback training that incorporates the COPAP–COGAP interaction reduces postural sway better than the training using the COPAP alone during quiet standing. That is, even COPAP fluctuation around the COGAP would be effective in reducing the COMAP velocity.

Introduction

The ability to maintain balance in static postures relies on the ability of the central nervous system to control movements or positional fluctuations by using the body’s center of mass (COM) so that it remains within safe boundaries above the base of support [1, 2]. If static balance during quiet standing is controlled by shifting the center of pressure (COP) through the feet, the body will move as a single segment, often modeled as an inverted pendulum [3]. Previous studies have reported that the augmented visual feedback of the COP has been used for static balance training [4,5,6].

However, the benefits gained from visual feedback of the COP during quiet standing are still under debate [7, 8]. Kilby et al. reported that the real-time visual feedback of neither the COP nor the COM affected the postural motion of healthy adults during quiet standing [9]; in other words, neither the COP nor the COM velocities changed when conditions were altered between a presence and lack of augmented visual feedback. In addition, the participants in the study of Lakhani et al. showed no postural stability learning effects when visual feedback training was using either as a vertical projection of the COM onto the ground (i.e., the center of gravity (COG)) or the COP during quiet standing [10]. In fact, under no feedback conditions did the root mean square values of the COP or COG change between the pre-training and post-training sessions.

The impact of the difference in position between the COP and COG (COP–COG distance) on postural stability in static balance has also been investigated [11]. A larger COP–COG distance has been shown to indicate greater body acceleration during quiet standing [12, 13]. During quiet standing, the COP–COG distance increases with age and depends on whether the participant’s eyes are closed or open [12, 14]. Postural instability may result from biased positioning of the COP relative to the COG, as this will result in a unidirectional moment acting on the COM [3]. In fact, Mani et al. reported that elderly participants were not able to maintain equilibrium standing on one leg when the position of the COP was biased relative to the COG, such as when the COP was located laterally in the direction of the supporting leg, while the younger group of participants experienced less difficulty [14]. In addition, Ibuki et al. reported that the COP − COM distance decreased and the COP fluctuated more evenly around the COM during one-legged standing in the ballet dancer group than in the control group [15]. These findings imply that feedback training incorporating the interaction between the COP and COG may be more effective for improving static balance than training using the COP or COG alone.

With this background in mind, the purpose of this study was to investigate the adaptive effects of augmented visual feedback training using both the COP and COG, as compared to training using only the COP, during quiet standing. The hypothesis was that novel balance training, which incorporates the interaction between the COP and COG using simultaneously the visual feedback of both, would reduce postural sway compared to training that used the COP alone without feedback. The findings of this study could contribute toward the development of an effective visual feedback training system for improving postural static balance.

Methods

Participants

Thirty-four healthy young adults without any known neurological, motor, or visual disorders or disabilities participated in this study. All the study protocols were approved by the ethics committee of the institution where the study was conducted, and written informed consent was obtained from all participants according to the Declaration of Helsinki. The age, sex, height, body weight, and foot length of each participant were recorded (Table 1). The participants were divided randomly into three groups. The first group, i.e., the COP group, received visual feedback of their real-time COP during the training session. The second group, i.e., the COP + COG group, received real-time visual feedback of their COG as well as their COP during the training session. The third group, i.e., the control group, received no visual feedback and was instructed to focus on a fixed visual target.

Table 1 The characteristics of the COP, COP + COG, and control groups

Equipment

Kinematic data were collected using a six-camera 3D motion analysis system (Motion Analysis Corporation, Santa Rosa, CA, USA) at a sampling frequency of 200 Hz. Twenty reflective markers were attached to the following bony landmarks: the acromioclavicular joint, the lateral epicondyle of the upper arm, the wrist, the head of the second metacarpal, the great trochanter of the femur, the lateral malleolus, the second metatarsal head, the calcaneus, and the C7, S1, and bilateral point of the external acoustic foramen. These markers were used to calculate the COM in the anteroposterior (AP) and mediolateral (ML) directions (COMAP and COMML), based on the 14 body segments and an anthropometrical model [3]. A force plate (Kistler, Winterthur, Switzerland) was used to calculate the coordinates of the COP in the AP (COPAP; Appendix 1) and ML (COPML) directions. Force plate signals were collected at a sampling frequency of 1000 Hz and synchronized with the motion analysis system. The real-time COG in the AP direction (COGAP) was obtained from the force plate signals (Appendix 2) [10, 12].

Augmented visual feedback was provided in the form of fluctuating circles moving vertically upward as the COPAP and COGAP moved forward and downward as they moved backward. LabVIEW software (National Instruments, USA) was used to present this feedback on a screen (height 1.8 m, width 2.5 m) located approximately 5 m away from the participant. The vertical movement of the circles on the screen was 16 times greater than the true COPAP and COGAP displacements [16].

Procedures

The participants stood with both their feet placed on a foam pad (thickness 6.5 cm, SAKAI Medical, Japan) throughout the pre-training, training, and post-training sessions. Only the AP direction was applied to reduce feedback complexity and allow the participants to focus on minimizing COP and COG fluctuations along a single axis [10]. The distance of the two horizontal lines on the screen corresponded to the two standard deviations (SD) of the first COGAP displacement measurement. The center point between the two lines identified the center of the force plate in the AP direction.

In the pre- and post-training test sessions (hereafter called pre-session and post-session, respectively), participants were required to lock their eyes on the fixed visual target and stand as steadily as possible for 60 s. In the training session, participants in the COP group were required to align the center of the blank circle (φ13.5 cm), which represented their COPAP, to the center of the two horizontal lines for 40 s (Fig. 1a). The participants in the COP + COG group were required to align the center of the filled circle to the center of the horizontal lines and maintain an even distance in the up-down direction between the blank and filled circles (φ4.5 cm), which respectively represented their COPAP and COGAP, for 40 s (Fig. 1b). In practice, this required the participants to keep the filled circle inside the blank circle. The participants in the control group were instructed to lock their eyes on a fixed visual target and stand as steadily as possible for 40 s.

Fig. 1
figure 1

Visual feedback on screen for the a COP group and b COP + COG group. Blank circles represent the real-time COPAP, and filled circle represent the real-time COGAP. These circles move in the vertical direction 16 times greater than the real amount of COPAP or COGAP movements. The width between the two horizontal lines indicates each participant’s 2SD of COGAP displacements on a force plate during quiet standing

The participants were instructed to stand barefoot with their arms across their chest in front of a visual target located at an eye-level height on the screen. First, to measure the SD of the COGAP displacements, each participant was instructed to stand quietly with both feet placed together on the force plate with their eyes open for 10 s. Horizontal lines, indicating the two SDs of each participant, were also projected on the screen during the training session (Fig. 1). Subsequently, the participants were required to stand on the foam pad, which was attached to the force plate with double-sided adhesive tapes, as steadily as possible with their feet placed together. The position of the feet on the pad was standardized: the center of the force plate in the sagittal plane was matched with the position of the feet 40% down the length from the heel [17]. The exact location where the feet were to be placed was marked on the pad to ensure that all the participants started with the same foot position in each trial. Each participant was asked to perform 12 trials with a 5-min rest after the first six trials. The break between trials was approximately 1 min, while the time between the trials and pre- or post-sessions was 5 min.

Data and statistical analysis

All signals were processed offline using MATLAB software (MathWorks, Natick, MA, USA). The motion analysis system data were filtered with a fourth-order 20-Hz low-pass zero-lag Butterworth filter, and the force plate data were filtered with a fourth-order 8-Hz low-pass zero-lag Butterworth filter. Although the signals obtained in the pre- and post-sessions had a duration of 60 s, only 50-s durations of the signals were analyzed, excluding the initial and final 5 s. The mean absolute velocities and root mean squares of both the COP and COM in the AP and ML directions (COPAP/ML velocity and COMAP/ML velocity, COPAP/ML RMS and COMAP/ML RMS) were calculated to assess postural stability. Furthermore, the mean absolute value of the COP − COM distance (COP − COMclose, Eq. 1) and the absolute value of the sum of the COP − COM distance (COP − COMeven, Eq. 2) in the AP direction were calculated as follows:

$$ \mathrm{COP}-{\mathrm{COM}}_{\mathrm{close}}=\frac{{\displaystyle {\sum}_{t=1}^N\left|{\mathrm{COP}}_t-{\mathrm{COM}}_t\right|}}{N} $$
(1)
$$ \mathrm{COP}-{\mathrm{COM}}_{\mathrm{even}}=\left|{\displaystyle {\sum}_{t=1}^N\left({\mathrm{COP}}_t-{\mathrm{COM}}_t\right)}\right| $$
(2)

where N is the total sampling number. Thus, a lower value of COP − COMclose indicated that movements of the COP were held closer to the COM in the AP direction. A shorter COP − COMeven indicated that the COP position was more even, with fewer fluctuations around the COM in the AP direction. All parameters were normalized by the foot length (FL) of each participant.

Both one-way and two-way mixed-design ANOVA were used in each group (factor Group: COP, COP + COG, and control); one-way ANOVA was used to identify and analyze differences in biomechanical characteristics, and two-way mixed-design ANOVA compared the group data to test sessions (factor Test Session: pre and post) to analyze possible differences in the value of the indices. A post hoc analysis was performed using Bonferroni pairwise comparison, and Pearson’s correlation coefficient was used to identify and analyze correlations between the COMAP velocity and COP − COM parameters. The statistical significance was set to p < 0.05 for all tests.

Results

No significant differences were observed among the three groups in terms of age (F 2, 31 = 0.500, p = 0.611), height (F 2, 31 = 1.170, p = 0.324), weight (F 2, 31 = 0.391, p = 0.680), and foot length (F 2, 31 = 1.779, p = 0.186) (Table 1).

Figure 2 shows the characteristic data of COMAP and COPAP velocity profiles in the pre- and post-sessions for each group. In the COP + COG group, the amplitude of the COMAP velocity during the post-session decreased compared to the pre-session values, while the amplitude of the COPAP velocity did not change. Table 2 lists the mean and SD of velocities and RMSs of both the COM and COP in the AP and ML directions.

Fig. 2
figure 2

The typical data of COMAP and COPAP velocity profiles. The data of the COP + COG, COP, and control groups are represented from the top to bottom columns, respectively. The gray lines represent velocities during the pre-test session, and the black lines represent those during the post-test session

Table 2 The results of postural stability

No significant effect was observed on the COMAP velocity between Group factors (F 2, 31 = 0.946, p = 0.399). However, the COMAP velocity showed a significant change between Test session factors (F 1, 31 = 42.361, p < 0.001). A significant interaction was observed between the Group and Test session factors in terms of the COMAP velocity (F 2, 31 = 3.391, p = 0.047). The post hoc test revealed that post-session COMAP velocity values were significantly lower in the COP + COG group compared to those in the control group (p = 0.047). For both the COP + COG and control groups, the COMAP velocity in the post-session was significantly lower than that in the pre-session (p < 0.001); however, no significant difference was observed in the COP group between the pre- and post-sessions (p = 0.117).

In terms of COMAP RMS, no significant main effect was observed for the factor Test session (F 1, 31 = 0.979, p = 0.330), nor was there a significant interaction (F 2, 31 = 1.036, p = 0.367). On the other hand, the COMAP RMS showed a significant main effect for the factor Group (F 2, 31 = 4.158, p = 0.025). The post hoc test revealed that the overall COMAP RMS of the COP + COG group was significantly lower than that of the control group (p = 0.042), while there was no significant difference between that of the COP and control groups (p = 0.068). The post-session COMAP RMS of the COP + COG group was significantly lower than that of the control group (p = 0.022); however, there was no significant difference in the pre-session (p = 0.154).

In terms of the COPAP velocity and COPAP RMS, no significant differences were observed between the Group (COPAP velocity F 2, 31 = 0.443, p = 0.646; COPAP RMS F 2, 31 = 2.199, p = 0.128) and Test session factors (COPAP velocity F 1, 31 = 2.544, p = 0.121; COPAP RMS F 1, 31 = 3.106, p = 0.088). No significant interaction (COPAP velocity F 2, 31 = 1.520, p = 0.235; COPAP RMS F 2, 31 = 0.797, p = 0.460; Table 2) was observed.

With regard to COMML velocity and COMML RMS, no significant main effect was observed for the factor Group (COMML velocity F 2, 31 = 2.329, p = 0.114; COMML RMS F 2, 31 = 2.842, p = 0.074), nor was there a significant interaction (COMML velocity F 2, 31 = 0.121, p = 0.887; COMML RMS F 2, 31 = 2.049, p = 0.146). In contrast, the COMML velocity and COMML RMS showed significant main effects for the factor Test session (COMML velocity F 1, 31 = 12.497, p = 0.001; COMML RMS F 1, 31 = 8.57, p = 0.006). The post hoc test revealed that the post-session COMML velocity of the COP group was significantly lower than that for the pre-session (p = 0.04). However, in the COP + COG and control groups, no significant difference was observed between the sessions (COP + COG group, p = 0.125; control group, p = 0.056). Meanwhile, the post-session COMML RMS of the COP group was significantly higher than that for the pre-session (p = 0.009). The COMML RMS of the COP + COG and control groups showed no significant difference between the sessions (COP + COG group, p = 0.82; control group, p = 0.114).

With regard to COPML velocity, no significant main effect was observed for the factor Group (F 2, 31 = 0.722, p = 0.494), nor was there a significant interaction (F 2, 31 = 0.526, p = 0.596). On the contrary, the COPML velocity presented a significant main effect for the factor Test session (F 1, 31 = 15.86, p < 0.001). The post hoc test revealed that the post-session COPML velocity of the COP group was significantly lower than that for the pre-session (p < 0.001). However, in the COP + COG and control groups, no significant difference was found between the sessions (COP + COG group, p = 0.081; control group, p = 0.195).

Meanwhile, the COPML RMS demonstrated no significant differences between the Group (F 2, 31 = 2.697, p = 0.083) and Test session factors (F 1, 31 = 0.24, p = 0.628). No significant interaction (F 2, 31 = 0.789, p = 0.463) was observed.

No significant differences were observed between the Group (F 2, 31 = 2.162, p = 0.132) or Test session factors (F 1, 31 = 0.047, p = 0.829) in terms of COP − COMeven. A significant COP − COMeven interaction was observed between the two factors (F 2, 31 = 3.517, p = 0.042; Fig. 3a): The post hoc test revealed that the post-session COP − COMeven was significantly smaller for the COP + COG group than that for the pre-session (p = 0.002). On the other hand, no significant difference was observed between the pre- and post-sessions in the COP group (p = 0.234). Furthermore, the COP − COMeven for the COP + COG group was significantly smaller than that for the COP group (p < 0.001) or control group (p = 0.033) in the post-session.

Fig. 3
figure 3

Mean ± SD of a COP − COMeven and b COP − COMclose for both groups in pre- and post-sessions. The white circles represent the COP group, the gray squares represent the COP + COG group, and the dark gray triangles represent the control group. COP − COMeven for the COP + COG group is seen to be significantly smaller than that for the COP group in the post-session (*p < 0.05). For the COP + COG group, COP − COMeven in the post-session was significantly smaller than that in the pre-session (*p < 0.05). The data were normalized by the foot length (FL) for each participant

In terms of COP − COMclose, no significant effects were observed for the factor Group (F 2, 31 = 1.457, p = 0.248) and no significant interaction (F 2, 31 = 1.267, p = 0.296) was observed. On the other hand, the factor Test session showed significant discrepancies (F 1, 31 = 11.884, p = 0.002; Fig. 3b).

In the post-session, significant positive correlations were observed between the COM velocity and COP − COMeven in the COP + COG group (r = 0.729, p < 0.01) and the COP group (r = 0.526, p < 0.05). Significant positive correlations were observed between the COM velocity and COP − COMclose in the COP + COG group (r = 0.823, p < 0.01) and the COP group (r = 0.843, p < 0.01). No significant correlations were observed between the COM velocity and COP − COMeven (r = −0.291, p > 0.05) or COP − COMclose (r = 0.457, p > 0.05) in the control group. Significant positive correlations were observed between the COM velocity and COP − COMeven (r = 0.670, p < 0.01: Fig. 4a) as well as COP − COMclose (r = 0.798, p < 0.01: Fig. 4b) for the combined data of the COP + COG and COP groups.

Fig. 4
figure 4

Relationship between the COMAP velocity, a COP − COMeven, and b COP − COMclose. A significant positive correlation was observed between the COMAP velocity and COP − COMeven (r = 0.670) and COP − COMclose (r = 0.789). The data for COP + COG and COP groups were combined. The abbreviations are the same as those used in Fig. 3

Discussion

The mean absolute velocity of the COM has been proven to be a highly reliable and sensitive indicator of postural sway [18, 19]. The main finding of this study is that the COMAP velocity decreased after the training session in the COP + COG and control groups, but not in the COP group. The COMAP velocity in the COP + COG group was lower than that in the control group during post-session quiet standing (Table 2). Furthermore, the COMAP RMS was significantly lower in the COP + COG group compared to that in the control group following training. These results suggest that training conducted using simultaneous COPAP and COGAP visual feedback increases postural stability compared to training using the COPAP alone under a no-feedback condition. Therefore, the results of this study have confirmed the hypothesis.

The effects that were related to a decrease in the post-session COMAP velocity would be enhanced by even fluctuations of the COPAP around the COGAP (Fig. 3a) because of the significant correlation between the COMAP velocity and COP − COMeven (Fig. 4a). According to the inverted pendulum model, inertial forces produced by even fluctuations of the COP toward the COG restrain COM movements toward the center of its fluctuation range; this is because the COP − COM distance reflects the moment arm for inertial forces, such as propulsion toward the COM or braking against movements toward the COM [20, 21].

Interestingly, the COPAP velocity did not decrease even though the COMAP velocity decreased in the post-session for each group (Table 2). In general, minimizing the COM displacement would be expected to result in a concurrent decrease in the COP displacement [22]. However, Carpenter et al. [23] and Murnaghan et al. [24] showed that COP displacements increased when COM movements were stabilized. They proposed that COP fluctuations played an exploratory role, gathering sensory information during quiet standing. The results of this study indicate that a decrease in the COMAP velocity do not result in a concurrent decrease in the COPAP velocity; as such, the COP and COM velocities may realistically behave in different ways.

No significant differences of the velocity and the RMS of COM and COP between the pre- and post-sessions were found in the COP + COG group in the ML direction. Therefore, the decreased postural stability in the ML direction after the training could not be confirmed in the COP + COG group. Interestingly, the COMML and COPML velocities in the COP group decreased after the training. However, the increased postural stability in the ML direction could not be confirmed because the COMML RMS in the COP group increased after the training. The standing postural controls for the AP or ML direction are involved in two distinct ankle and hip mechanisms [3]. The possibility effects of the postural control during quiet standing between the two mechanisms by the feedback training should be further investigated in future studies [25].

We suspect that efforts to maintain the COPAP at an even distance from the COGAP may have indirectly contributed to reducing the COP − COM distance; however, no interaction was observed in terms of COP − COMclose. The quantitative results of this study showed that the COMAP velocity was correlated to COP − COMclose (Fig. 4b). Therefore, adding visual targets indicating the COPAP and COGAP (e.g., two other horizontal lines positioned along the centers of the blank circle representing the COPAP and the filled circle representing the COGAP) and requiring participants to reduce the distance between these two horizontal lines may also be effective to decelerate the COMAP velocity.

The limitation of this study is that experiments were performed with a small sample size of participants. In addition, the adaptation effects of training may not be detected sufficiently with the small amount of training the participants underwent. Therefore, the training effects in the COP group may not be detected, although the COMAP velocity in the control group decreased after training. Furthermore, the force under the feet may not be identical to that under the foam pad because the force or moment could spread in the pad. The learning effects of this novel balance training should be further investigated with a retention test and applied to individuals with postural instability in future studies.

Conclusion

Simultaneous visual feedback training that uses both the COPAP and COGAP, and focuses on their interaction, reduces postural sway during quiet standing better than the training designed to affect only the COPAP under the no-feedback condition. It can therefore be stated that even COPAP fluctuations around the COGAP would be effective for maintaining postural static balance through an associated reduction in COMAP velocity.

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Funding

This work was supported in part by a Japanese Grant-in-Aid for Scientific Research (25350747, 16K16420).

Availability of data and materials

The datasets during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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TA, KT, and HMan designed the study. TA and HMae supervised the project. KT, HMan, NH, YS, and ST recorded, analyzed, and interpreted the data. TA and KT wrote the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Tadayoshi Asaka.

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All participants gave written informed consent after a complete explanation of this study. This study was approved by the Institutional Review Board, Faculty of Health Sciences of Hokkaido University.

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All participants gave written informed consent for publication after a complete explanation of this study.

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The authors declare that they have no competing interests.

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Appendices

Appendix 1

The COPAP was calculated as follows:

$$ {\mathrm{COP}}_{\mathrm{AP}}=\frac{Fy\times \left(-{D}_0-{D}_{\mathrm{mat}}\right)+ Mx}{Fz} $$
(3)

where Fy and Fz denote the force in the AP and vertical directions, respectively. Mx denotes the moment around the lateral axis. D 0 and D mat denote the thickness of the force plate and the foam pad, respectively.

Appendix 2

If human posture during quiet standing can be approximated as an inverted pendulum, the equation of motion can be described as follows:

$$ I\ddot{\theta}= m g h\kern0.5em \sin \kern0.5em \theta - T $$
(4)

where m is the mass of the body excluding feet, g is the gravitational acceleration coefficient, h is the distance between COM and the ankle joint, I is the moment of inertia of the body about the ankle joint, θ is the body angle to vertical axis, \( \ddot{\theta} \) is the body angular acceleration, and T is the ankle torque produced about the participant’s ankle joint. Assuming that the body sway amplitude is small, T ≈ mgCOP and mgh sin θ mgCOG. Thus, the right-hand side of Eq. (3) can be rewritten as − mg(COP − COG). Considering an additional approximation of \( \ddot{\theta}\approx C\ddot{O} M/ h= A C C/ h={F}_Y/ m h \), Eq. (3) can be derived as follows:

$$ {\mathrm{COG}}_{\mathrm{AP}}\kern0.5em =\kern0.5em {\mathrm{COP}}_{\mathrm{AP}}-\left(\frac{1}{m gh}\right)\ast \frac{Fy}{m\hbox{'}} $$
(5)

where Fy is the force in the AP direction.

$$ m=0.971\mathrm{M}, $$
(6)
$$ h = 0.547\mathrm{H}, $$
(7)
$$ I=0.319{\mathrm{MH}}^2, $$
(8)

where M is the participant mass of body in kilograms and H is the participant height in meters.

The details of the derivation steps and the anthropometric estimation of body dimensions can be obtained from previous reports [3, 12].

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Takeda, K., Mani, H., Hasegawa, N. et al. Adaptation effects in static postural control by providing simultaneous visual feedback of center of pressure and center of gravity. J Physiol Anthropol 36, 31 (2017). https://doi.org/10.1186/s40101-017-0147-5

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