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Mean square of the specified angle torque as a function of the adaptive parameter for different stimulus conditions (the adaptive scheme's objective functions) 

Mean square of the specified angle torque as a function of the adaptive parameter for different stimulus conditions (the adaptive scheme's objective functions) 

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Reweighting sensory information adaptively is considered critical for flexible postural control, but little is known of the time scale of the reweighting process. We analyzed the transient dynamics of sensory reweighting in a previously published nonlinear adaptive model of sensory integration in the human postural control system. The model's dynam...

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Context 1
... situation is quite different upon the switch from the low amplitude condition to the high amplitude condition. The asymptotic value in the high amplitude condition is sub- stantially larger than in the low amplitude condition. When the switch occurs the adaptive parameter responds at a very rapid rate. However, the approach to the high amplitude equi- librium slows and the adaptive parameter fails to reach its asymptotic value by the time the 60 s in the high condition is complete. Upon the switch from the high condition to the low condition, the rate of adaptation is initially much slower than during the reverse switch. However, the rate increases as the adaptive parameter falls and the adaptive parameter crosses its low condition asymptotic value by the end of the 360 s trial. The temporal asymmetry can be understood by looking at the objective function -the mean square of the specified ankle torque -that the modeled nervous system seeks to min- imize by tweaking the adaptive parameter (see Fig. 4). We caution the reader that the objective function interpretation of this stochastic model is an approximation that only becomes accurate as the adaptation gain ε becomes small. Details of how the objective function is computed are presented in the appendices to Carver et al. (2005). The value of the objective function depends both on the current value of the adaptive parameter and on the current stimulus condition. Thus Fig. 4 shows three functions of the adaptive parameter -one for each stimulus condition (quiet stance, low amplitude, high amplitude). The scheme adjusts θ to minimize the objec- tive function corresponding to the current stimulus condi- tion. During quiet stance, this minimum lies on the square of Fig. 4; during the low amplitude condition this minimum lies on the asterisk, and during the high amplitude condition this minimum lies on the ...
Context 2
... situation is quite different upon the switch from the low amplitude condition to the high amplitude condition. The asymptotic value in the high amplitude condition is sub- stantially larger than in the low amplitude condition. When the switch occurs the adaptive parameter responds at a very rapid rate. However, the approach to the high amplitude equi- librium slows and the adaptive parameter fails to reach its asymptotic value by the time the 60 s in the high condition is complete. Upon the switch from the high condition to the low condition, the rate of adaptation is initially much slower than during the reverse switch. However, the rate increases as the adaptive parameter falls and the adaptive parameter crosses its low condition asymptotic value by the end of the 360 s trial. The temporal asymmetry can be understood by looking at the objective function -the mean square of the specified ankle torque -that the modeled nervous system seeks to min- imize by tweaking the adaptive parameter (see Fig. 4). We caution the reader that the objective function interpretation of this stochastic model is an approximation that only becomes accurate as the adaptation gain ε becomes small. Details of how the objective function is computed are presented in the appendices to Carver et al. (2005). The value of the objective function depends both on the current value of the adaptive parameter and on the current stimulus condition. Thus Fig. 4 shows three functions of the adaptive parameter -one for each stimulus condition (quiet stance, low amplitude, high amplitude). The scheme adjusts θ to minimize the objec- tive function corresponding to the current stimulus condi- tion. During quiet stance, this minimum lies on the square of Fig. 4; during the low amplitude condition this minimum lies on the asterisk, and during the high amplitude condition this minimum lies on the ...
Context 3
... situation is quite different upon the switch from the low amplitude condition to the high amplitude condition. The asymptotic value in the high amplitude condition is sub- stantially larger than in the low amplitude condition. When the switch occurs the adaptive parameter responds at a very rapid rate. However, the approach to the high amplitude equi- librium slows and the adaptive parameter fails to reach its asymptotic value by the time the 60 s in the high condition is complete. Upon the switch from the high condition to the low condition, the rate of adaptation is initially much slower than during the reverse switch. However, the rate increases as the adaptive parameter falls and the adaptive parameter crosses its low condition asymptotic value by the end of the 360 s trial. The temporal asymmetry can be understood by looking at the objective function -the mean square of the specified ankle torque -that the modeled nervous system seeks to min- imize by tweaking the adaptive parameter (see Fig. 4). We caution the reader that the objective function interpretation of this stochastic model is an approximation that only becomes accurate as the adaptation gain ε becomes small. Details of how the objective function is computed are presented in the appendices to Carver et al. (2005). The value of the objective function depends both on the current value of the adaptive parameter and on the current stimulus condition. Thus Fig. 4 shows three functions of the adaptive parameter -one for each stimulus condition (quiet stance, low amplitude, high amplitude). The scheme adjusts θ to minimize the objec- tive function corresponding to the current stimulus condi- tion. During quiet stance, this minimum lies on the square of Fig. 4; during the low amplitude condition this minimum lies on the asterisk, and during the high amplitude condition this minimum lies on the ...
Context 4
... trial begins with the adaptive parameter near its quiet stance asymptotic value (the square). At time 0 the low ampli- tude condition begins. The adaptive parameter changes con- tinuously because its rate of change is given by a stochastic differential equation (Eq. (7) in Appendix A). In contrast, the stimulus condition changes abruptly as specified by our experimental protocol. When the low amplitude condition begins the adaptive parameter initially remains near its quiet stance asymptotic value (≈ 0.1 cm s −1/2 ) but now the low amplitude curve applies. Thus, the horizontal position (rep- resenting θ ) on Fig. 4 initially remains roughly unchanged but the vertical position (representing the mean square of the specified ankle torque in the current condition) changes abruptly with the change in condition. At time 0, upon the switch to low amplitude stimulation, the point represent- ing the value of the objective function becomes the point above the square on the low amplitude (solid) curve. After the switch, the adaptive parameter begins to approach its low amplitude asymptotic value (the asterisk). By 120 s we can expect the adaptive parameter to be hovering near its low amplitude asymptotic value (the asterisk). In a similar man- ner, upon the switch to high amplitude stimulation, the point on Fig. 4 representing the current value of the objective func- tion becomes the point on the high amplitude (dashed) curve above the low amplitude asymptotic value (the asterisk). The slope of this curve is relatively large at this point. Because the adaptive scheme optimizes ankle torque, according to the gra- dient, descent rule adaptation happens at a rate proportional to this large slope -quickly. Thus, changing from low ampli- tude to high amplitude stimulation causes initially very rapid changes. Nevertheless, the rate of adaptation slows down as θ increases and after 60 s, at the end of the high ampli- tude condition, the system does not reach its high amplitude asymptotic value (the triangle) as evidenced by the trace of θ in Fig. 3. Instead, θ lies somewhere to the left of its high amplitude asymptotic value (the triangle). The slope of the low amplitude curve is relatively shallow in this region. Thus, upon the return to the low amplitude condition, the initial rate of return to the low amplitude asymptotic value (the asterisk) is slower than the previous initial rate of approach to the high amplitude asymptotic value (the triangle). From the differ- ential values of the slopes of the objective function in each condition arises the temporal asymmetry in the model. Figure 4 shows how the adaptive parameter changes as a function of stimulus condition. However, this figure does not make it directly apparent how gain changes as a function of stimulus condition. Nevertheless, gain is a function of the adaptive parameter and a simple change of variables makes the predicted changes in gain apparent (see Appendix B for details). Figure 5 plots the predicted approximate average rate of change of gain as a function of gain in the low ampli- tude condition (solid) and in the high amplitude condition (dashed). This plot depicts the vector fields that we call the averaged vector fields which are approximately accurate for small ε. The asymptotic values of gain in each condition are the values of gain at which the corresponding curves cross the horizontal axis (zero rate of change of gain). The direc- tion of crossing determines the stability of the equilibria. In this case, both equilibria are stable. As with the adaptive parameter, gain (the horizontal position on the axis of Fig. 5) changes continuously but the experimental condition (deter- mining which curve applies) changes abruptly. Part of the high amplitude curve is off the scale of the graph. Indeed, the high amplitude curve is about −0.7 below the low amplitude asymptotic value. Thus switching from low to high ampli- tude can cause rapid changes. This graph predicts that gain changes at an initial rate of about −0.7 s −1 upon a switch from low to high amplitude stimulation. However, the rate of change of gain is much more modest after a switch in the reverse direction: the rate is less than 0.02 s −1 . Close to the value of the high amplitude equilibrium the rate of change of gain in the low condition is even considerably lower. Note that the predicted high and low amplitude asymptotic gains match the simulations shown in Fig. ...
Context 5
... trial begins with the adaptive parameter near its quiet stance asymptotic value (the square). At time 0 the low ampli- tude condition begins. The adaptive parameter changes con- tinuously because its rate of change is given by a stochastic differential equation (Eq. (7) in Appendix A). In contrast, the stimulus condition changes abruptly as specified by our experimental protocol. When the low amplitude condition begins the adaptive parameter initially remains near its quiet stance asymptotic value (≈ 0.1 cm s −1/2 ) but now the low amplitude curve applies. Thus, the horizontal position (rep- resenting θ ) on Fig. 4 initially remains roughly unchanged but the vertical position (representing the mean square of the specified ankle torque in the current condition) changes abruptly with the change in condition. At time 0, upon the switch to low amplitude stimulation, the point represent- ing the value of the objective function becomes the point above the square on the low amplitude (solid) curve. After the switch, the adaptive parameter begins to approach its low amplitude asymptotic value (the asterisk). By 120 s we can expect the adaptive parameter to be hovering near its low amplitude asymptotic value (the asterisk). In a similar man- ner, upon the switch to high amplitude stimulation, the point on Fig. 4 representing the current value of the objective func- tion becomes the point on the high amplitude (dashed) curve above the low amplitude asymptotic value (the asterisk). The slope of this curve is relatively large at this point. Because the adaptive scheme optimizes ankle torque, according to the gra- dient, descent rule adaptation happens at a rate proportional to this large slope -quickly. Thus, changing from low ampli- tude to high amplitude stimulation causes initially very rapid changes. Nevertheless, the rate of adaptation slows down as θ increases and after 60 s, at the end of the high ampli- tude condition, the system does not reach its high amplitude asymptotic value (the triangle) as evidenced by the trace of θ in Fig. 3. Instead, θ lies somewhere to the left of its high amplitude asymptotic value (the triangle). The slope of the low amplitude curve is relatively shallow in this region. Thus, upon the return to the low amplitude condition, the initial rate of return to the low amplitude asymptotic value (the asterisk) is slower than the previous initial rate of approach to the high amplitude asymptotic value (the triangle). From the differ- ential values of the slopes of the objective function in each condition arises the temporal asymmetry in the model. Figure 4 shows how the adaptive parameter changes as a function of stimulus condition. However, this figure does not make it directly apparent how gain changes as a function of stimulus condition. Nevertheless, gain is a function of the adaptive parameter and a simple change of variables makes the predicted changes in gain apparent (see Appendix B for details). Figure 5 plots the predicted approximate average rate of change of gain as a function of gain in the low ampli- tude condition (solid) and in the high amplitude condition (dashed). This plot depicts the vector fields that we call the averaged vector fields which are approximately accurate for small ε. The asymptotic values of gain in each condition are the values of gain at which the corresponding curves cross the horizontal axis (zero rate of change of gain). The direc- tion of crossing determines the stability of the equilibria. In this case, both equilibria are stable. As with the adaptive parameter, gain (the horizontal position on the axis of Fig. 5) changes continuously but the experimental condition (deter- mining which curve applies) changes abruptly. Part of the high amplitude curve is off the scale of the graph. Indeed, the high amplitude curve is about −0.7 below the low amplitude asymptotic value. Thus switching from low to high ampli- tude can cause rapid changes. This graph predicts that gain changes at an initial rate of about −0.7 s −1 upon a switch from low to high amplitude stimulation. However, the rate of change of gain is much more modest after a switch in the reverse direction: the rate is less than 0.02 s −1 . Close to the value of the high amplitude equilibrium the rate of change of gain in the low condition is even considerably lower. Note that the predicted high and low amplitude asymptotic gains match the simulations shown in Fig. ...
Context 6
... trial begins with the adaptive parameter near its quiet stance asymptotic value (the square). At time 0 the low ampli- tude condition begins. The adaptive parameter changes con- tinuously because its rate of change is given by a stochastic differential equation (Eq. (7) in Appendix A). In contrast, the stimulus condition changes abruptly as specified by our experimental protocol. When the low amplitude condition begins the adaptive parameter initially remains near its quiet stance asymptotic value (≈ 0.1 cm s −1/2 ) but now the low amplitude curve applies. Thus, the horizontal position (rep- resenting θ ) on Fig. 4 initially remains roughly unchanged but the vertical position (representing the mean square of the specified ankle torque in the current condition) changes abruptly with the change in condition. At time 0, upon the switch to low amplitude stimulation, the point represent- ing the value of the objective function becomes the point above the square on the low amplitude (solid) curve. After the switch, the adaptive parameter begins to approach its low amplitude asymptotic value (the asterisk). By 120 s we can expect the adaptive parameter to be hovering near its low amplitude asymptotic value (the asterisk). In a similar man- ner, upon the switch to high amplitude stimulation, the point on Fig. 4 representing the current value of the objective func- tion becomes the point on the high amplitude (dashed) curve above the low amplitude asymptotic value (the asterisk). The slope of this curve is relatively large at this point. Because the adaptive scheme optimizes ankle torque, according to the gra- dient, descent rule adaptation happens at a rate proportional to this large slope -quickly. Thus, changing from low ampli- tude to high amplitude stimulation causes initially very rapid changes. Nevertheless, the rate of adaptation slows down as θ increases and after 60 s, at the end of the high ampli- tude condition, the system does not reach its high amplitude asymptotic value (the triangle) as evidenced by the trace of θ in Fig. 3. Instead, θ lies somewhere to the left of its high amplitude asymptotic value (the triangle). The slope of the low amplitude curve is relatively shallow in this region. Thus, upon the return to the low amplitude condition, the initial rate of return to the low amplitude asymptotic value (the asterisk) is slower than the previous initial rate of approach to the high amplitude asymptotic value (the triangle). From the differ- ential values of the slopes of the objective function in each condition arises the temporal asymmetry in the model. Figure 4 shows how the adaptive parameter changes as a function of stimulus condition. However, this figure does not make it directly apparent how gain changes as a function of stimulus condition. Nevertheless, gain is a function of the adaptive parameter and a simple change of variables makes the predicted changes in gain apparent (see Appendix B for details). Figure 5 plots the predicted approximate average rate of change of gain as a function of gain in the low ampli- tude condition (solid) and in the high amplitude condition (dashed). This plot depicts the vector fields that we call the averaged vector fields which are approximately accurate for small ε. The asymptotic values of gain in each condition are the values of gain at which the corresponding curves cross the horizontal axis (zero rate of change of gain). The direc- tion of crossing determines the stability of the equilibria. In this case, both equilibria are stable. As with the adaptive parameter, gain (the horizontal position on the axis of Fig. 5) changes continuously but the experimental condition (deter- mining which curve applies) changes abruptly. Part of the high amplitude curve is off the scale of the graph. Indeed, the high amplitude curve is about −0.7 below the low amplitude asymptotic value. Thus switching from low to high ampli- tude can cause rapid changes. This graph predicts that gain changes at an initial rate of about −0.7 s −1 upon a switch from low to high amplitude stimulation. However, the rate of change of gain is much more modest after a switch in the reverse direction: the rate is less than 0.02 s −1 . Close to the value of the high amplitude equilibrium the rate of change of gain in the low condition is even considerably lower. Note that the predicted high and low amplitude asymptotic gains match the simulations shown in Fig. ...

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... Postural control is possible through the integration of information from three sensory systems; somatosensory, visual and vestibular (Nashner, Black, & Wall, 1982). The integration of sensory information is dynamically regulated through a process referred to as sensory reweighting (Carver, Kiemel, & Jeka, 2006;Mahboobin, Loughlin, Redfern, & Sparto, 2005;Nashner & Berthoz, 1978;Peterka, 2002;Peterka & Loughlin, 2004;Van der Kooij, Jacobs, Koopman, & Van der Helm, 2001), which is a dynamical process in which the nervous system changes the "emphasis" of a particular sensory input by identifying and selecting the sensory inputs that provide the most useful and accurate information for attaining the postural control goals of orientation and equilibrium (Hwang, Agada, Kiemel, & Jeka, 2014). For example, changes in environmental conditions, such as moving from a bright to a dark environment, or from a fixed to a moving surface, or from a rough to slippery surface, requires dynamic updating of sensory weights to current conditions so that muscular control of balance is based on the most precise and accurate sensory information available (Horak, 2006;Logan, Kiemel, & Jeka, 2014;Teasdale, Stelmach, & Breunig, 1991;Woollacott, Shumway-Cook, & Nashner, 1986). ...
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... This further supports the notion of a shift in sensory weighting and the consequences for motion perception. Sensory reweighting has been predominantly observed in multisensory perception and postural control based on optimal integration around the reliability and functional significance of the sensory signals (Assländer and Peterka 2014;Carver et al., 2006;Ernst and Banks 2002;Ernst and Bülthoff 2004). However, whether this mechanism has any relationship with cybersickness and sensory conflict has yet to be established. ...
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The malaise symptoms of cybersickness are thought to be related to the sensory conflict present in the exposure to virtual reality (VR) content. When there is a sensory mismatch in the process of sensory perception, the perceptual estimate has been shown to change based on a reweighting mechanism between the relative contributions of the individual sensory signals involved. In this study, the reweighting of vestibular and body signals was assessed before and after exposure to different typical VR experiences and sickness severity was measured to investigate the relationship between susceptibility to cybersickness and sensory reweighting. Participants reported whether a visually presented line was rotated clockwise or counterclockwise from vertical while laying on their side in a subjective visual vertical (SVV) task. Task performance was recorded prior to VR exposure and after a low- and high-intensity VR game. The results show that the SVV was significantly shifted away from the body representation of upright and towards the vestibular signal after exposure to the high-intensity VR game. Cybersickness measured using the fast motion sickness (FMS) scale found that sickness severity ratings were higher in the high intensity compared to the low-intensity experience. The change in SVV from baseline after each VR exposure modelled using a simple 3-parameter Gaussian regression fit was found to explain 49.5% of the variance in the FMS ratings. These results highlight the aftereffects of VR for sensory perception and suggest a potential relationship between the susceptibility to cybersickness and sensory reweighting.
... The CNS, subsequently, reweights (dynamically adjusts the weight assigned to a particular signal) visual, vestibular, and proprioceptive input to generate the appropriate muscle forces required for the particular task. This allows effective control of the center of mass, resulting in proper equilibrium of the body (Brumagne et al., 2004;Carver et al., 2006). Previous investigations explored different models and methods for preserving equilibrium (Horak and Nashner, 1986;Runge et al., 1999). ...
... Many previous studies focused on the motor output of postural control in NSLBP patients (Ruhe et al., 2011). Others advocated the importance of considering the sensory inputs, particularly in terms of weighting the various proprioceptive signals, a critical consideration in optimal postural control (Gandevia et al., 1992;Lackner and DiZio, 2005;Carver et al., 2006). It is indeed well established that musculoskeletal injuries (Haghighat et al., 2021a;Haghighat et al., 2021b;Haghighat et al., 2021c;Haghighat et al., 2021d;Davoudi et al., 2022a), neuromusculoskeletal disease, such as stroke, Parkinson's, Multiple Sclerosis, Chronic obstructive pulmonary disease (Davoudi et al., 2022b) and other psychological factors including anxiety, are associated with disrupting the function of the sensory systems (Jamali et al., 2019;Dehmiyani et al., Frontiers in Bioengineering and Biotechnology frontiersin.org ...
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The central nervous system (CNS) dynamically employs a sophisticated weighting strategy of sensory input, including vision, vestibular and proprioception signals, towards attaining optimal postural control during different conditions. Non-specific low back pain (NSLBP) patients frequently demonstrate postural control deficiencies which are generally attributed to challenges in proprioceptive reweighting, where they often rely on an ankle strategy regardless of postural conditions. Such impairment could lead to potential loss of balance, increased risk of falling, and Low back pain recurrence. In this study, linear and non-linear indicators were extracted from center-of-pressure (COP) and trunk sagittal angle data based on 4 conditions of vibration positioning (vibration on the back, ankle, none or both), 2 surface conditions (foam or rigid), and 2 different groups (healthy and non-specific low back pain patients). Linear discriminant analysis (LDA) was performed on linear and non-linear indicators to identify the best sensory condition towards accurate distinction of non-specific low back pain patients from healthy controls. Two indicators: Phase Plane Portrait ML and Entropy ML with foam surface condition and both ankle and back vibration on, were able to completely differentiate the non-specific low back pain groups. The proposed methodology can help clinicians quantitatively assess the sensory status of non-specific low back pain patients at the initial phase of diagnosis and throughout treatment. Although the results demonstrated the potential effectiveness of our approach in Low back pain patient distinction, a larger and more diverse population is required for comprehensive validation.
... This further supports the notion of a shift in sensory weighting and the consequences for motion perception. Sensory reweighting has been predominantly observed in multisensory perception and postural control based on optimal integration around the reliability and functional significance of the sensory signals (Assländer and Peterka, 2014;Carver et al., 2006;Ernst and Banks, 2002;Ernst and Bülthoff, 2004). However, whether this mechanism has any relationship with cybersickness and sensory conflict has yet to be established. ...
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The malaise symptoms of cybersickness are thought to be related to the sensory conflict present in the exposure to virtual reality (VR) content. When there is a sensory mismatch in the process of sensory perception, the perceptual estimate has been shown to change based on a reweighting mechanism between the relative contributions of the individual sensory signals involved. In this study, the reweighting of vestibular and body signals was assessed before and after exposure to different typical VR experiences and sickness severity was measured to investigate the relationship between susceptibility to cybersickness and sensory reweighting. Participants reported whether a visually presented line was rotated clockwise or counterclockwise from vertical while laying on their side in a subjective visual vertical (SVV) task. Task performance was recorded prior to VR exposure and after a low and high intensity VR game. The results show that the SVV was significantly shifted away from the body representation of upright and towards the vestibular signal after exposure to the high intensity VR game. Cybersickness measured using the fast motion sickness (FMS) scale found that sickness severity ratings were higher in the high intensity compared to the low intensity experience. The change in SVV from baseline after each VR exposure modelled using a simple 3-parameter gaussian regression fit was found to explain 49.5% of the variance in the FMS ratings. These results highlight the aftereffects of VR for sensory perception and suggests a potential relationship between the susceptibility to cybersickness and sensory reweighting.