Principal Component Analysis of the Modified Clinical Test of Sensory

Principal Component Analysis of the Modified Clinical Test of Sensory

WSEAS TRANSACTIONS on BIOLOGY and BIOMEDICINE DOI: 10.37394/23208.2020.17.15 Oseikhuemen Davis Ojie, Reza Saatchi Principal component analysis of the modified clinical test of sensory interaction in healthy adult humans OSEIKHUEMEN DAVIS OJIE, REZA SAATCHI Industry & Innovation Research Institute (I2Ri), Faculty of Science, Technology and Arts, Sheffield Hallam University, Sheffield, UNITED KINGDOM Abstract: A number of mechanisms and sensory systems in humans are associated with the maintenance of balance. Diagnosis and monitoring of balance dysfunctions could be assisted by exploring deviations of data recorded from patients with comparative or reference data from healthy individuals. To this effect, principal component analysis (PCA) was applied to accelerometry obtained time domain balance data. The data were recorded from 21 healthy adults (10 males and 11 females, mean age 24.5 years, standard deviation 4.0 years, mean height 173.6 cm, standard deviation 6.8 cm, and mean weight 72.7 kg, standard deviation 9.9 kg) in the medio-lateral (ML) and anterior- posterior (AP) directions. The subjects performed tasks specified in the modified clinical test of sensory interaction on balance (mCTSIB) while an accelerometry device was attached at their lower back, in the position of the iliac crest. Eighteen-time domain measures that quantified body's displacement, velocity and acceleration were obtained and processed using PCA. Based on the observations from PCA, further investigations were carried out on the root mean square (RMS) velocity using the Bland and Altman plots and other statistical related analysis. It was observed that the anterior and posterior directions were more sensitive to the absence or presence of balance sensory (visual, somatosensory and vestibular) inputs as compared to the mediolateral (ML) direction. A greater coherence in sway information was observed in the somatosensory system as compared to the visual and vestibular systems. There was more stability in the interaction between the somatosensory and the vestibular systems as compared to that of the visual and vestibular systems. The results obtained could be helpful to clinicians in balance related analysis and diagnosis. Keywords: sensory interaction, balance dysfunctions, mCTSIB, Accelerometry 1. Introduction standing with a visual conflict dome on a compliant surface [4]. The mCTSIB examines The ability to maintain balance is crucial in the subject under four balance-related sensory performing daily activities safely and effectively. conditions. In condition one, the subject stands Balance in humans is primarily based on on a firm surface with eyes open. In this integration of information from the visual, condition all the three balance-related sensory somatosensory and vestibular systems [1] [2]. systems (i.e. visual, somatosensory and The understanding of these systems is imperative vestibular) contribute to maintenance of balance in determining the manner they contribute to unhindered. The second condition is similar to balance. The modified clinical test of sensory the first but the visual input is excluded by the interaction on balance (mCTSIB) allows the eyes being closed. The third condition is as the relationships between the relevant sensory first condition but the input from the systems' contributions to balance to be examined. somatosensory system is affected, e.g. by the It was derived from the clinical test of sensory person standing on a flexible surface such as interaction with balance (CTSIB) [3] that has six thick foam. Finally, the forth condition involves conditions: (i) standing on a firm surface with the subject standing on a flexible surface with eyes open, (ii) standing on a firm surface with eyes closed, i.e. affecting both the visual and eyes closed, (iii) standing on a firm surface with somatosensory systems. a visual conflict dome, (iv) standing on a compliant surface with eyes open, (v) standing A number of studies have used the mCTSIB to on a compliant surface with eyes closed and (vi) investigate balance dysfunctions. The E-ISSN: 2224-2902 125 Volume 17, 2020 WSEAS TRANSACTIONS on BIOLOGY and BIOMEDICINE DOI: 10.37394/23208.2020.17.15 Oseikhuemen Davis Ojie, Reza Saatchi investigation of postural sway and its relation to explored the distinctive characteristics between stereopsis function in patients with rapid eye the medial-lateral (ML) and anterior-posterior movement (REM) sleep behaviour disorder (AP) directions in relation to balance. The (RBD) have been reported [5]. Using hypotheses investigated were: accelerometers and with the eyes open and closed conditions, they found that a subtle sign of • The AP direction may be more sensitive to postural sway instability existed in patients with postural sway as compared to the ML idiopathic RBD, most especially in subjects with direction due to a larger area of the base of abnormal stereopsis [5]. Postural sway support and the observance of the concepts of measurements obtained using an accelerometer inverted pendulum. were compared to those obtained using a force • No difference in sway between the interaction platform in patients with untreated Parkinson's of the somatosensory and visual systems with disease (PD) in scenarios of the eyes open and the vestibular system. This hypothesis closed conditions of the mCTSIB and explored the uniformity and performance of accelerometer based sway metrics [6]. They the somatosensory and visual systems in concluded that accelerometer-based sway metrics relation to balance. could be used as objective measures of postural In the following sections, the accelerometry for instability in untreated PD patients [6]. In some sway path analysis and PCA are briefly described studies, the analysis had been based on the then the methodology and results are discussed. comparison of balance parameters between patients and healthy individuals. Thus, there is a 2. Accelerometry based sway need to investigate balance patterns in healthy subjects to allow possible deviations from the analysis expected measures to be better interpreted in Human balance analysis in a standstill position patients. Principal component analysis (PCA) is a can be described using the inverted pendulum statistical technique used mainly for data model that has a centre of mass (COM) above its dimensionality reduction and detecting base of support [12]. Accelerometry requires the differentiating patterns [7][8]. The use of PCA in use one or more accelerometers to record and finding distinctive features in balance and gait interpret motion. It captures the motion of the related analysis has been reported in a number of COM position and other areas of the human studies. Acceleration and velocity of the tibial body. Accelerometry is gaining applications in a translation information obtained using number of medical monitoring and diagnostic electromagnetic sensors were analysed using fields due to its cost effectiveness, portability and PCA [9]. The study included 127 pivot shift flexibility in implementation. A model to project examinations by orthopaedic surgeons on 70 COM sway to the ground surface has been subjects presenting various degrees of knee joint developed [13] and extended based on the instability. They determined the features that inverted pendulum in [14]. In this model, the explained the observed variabilities [9]. PCA of sway at the COM position is projected postural movement data in fifty healthy adults downwards to the ground surface. The projection involved in 80 seconds tandem stance indicated is shown in Figure 1. In the Figure, R represents that age altered the postural control system in the resultant acceleration (unit cm/s2) obtained specific task relevant components [10]. The from the orthogonal coordinates of the results obtained by applying PCA to the accelerations , and of all three accelerometer obtained data of 43 young and 100 accelerometer axes͕3 (i.e.͕4 x, y and͕5 z); , , and older subjects showed that the ratio of the medio- are angles (unit degrees) made by each lateral and vertical derivative of acceleration was coordinate to the resultant obtained from a distinct gait construct [11]. In this study, we directional cosines, i.e. , , and investigated the patterns of postural sway in and (unit cm)cos( ) are thecos( respective ) healthy adults by analysing accelerometry data projected ground3 displacements4 in the medial- obtained during mCTSIB. Significant deviations cos( ); ͘ ͘ lateral (ML) and anterior-posterior (AP) from the postural sway patterns observed in directions from the origin; L represents the fixed healthy subjects may be indicative of possible position of the COM of the subject and H is the balance dysfunctions. To carry out the analysis, inclined height of the COM above the ground PCA was employed owing to its effectiveness in surface kinematic investigations. We specifically E-ISSN: 2224-2902 126 Volume 17, 2020 WSEAS TRANSACTIONS on BIOLOGY and BIOMEDICINE DOI: 10.37394/23208.2020.17.15 Oseikhuemen Davis Ojie, Reza Saatchi . ͌ 5 ͕ &ͥ L ͕4 ͨ H &ͩ ͕3 ͧ & &ͦ dx Ground surface ̻ ̼ Figure 1. Inverted pendulum ground projection of COM sway (Ojie et al., 2020). The formulae to obtain the above measures are m is the number of subjects and n is the number given in equations 1 to 3, where , , , ; of time domain variables. and ; are angles used for ͥmathematicalͦ ͧ ͨ representations,ͩ A is the point of origin and point B is deviation from the origin. ͥ͘,ͥ … ͥ͘,) (×) = ʬ ⋮ ⋮ ⋮ ʭ ͘(,ͥ … ͘(,) ͌ = The eigenvalues and vectors of the correlation or ͦ ͦ ͦ covariance matrix obtained by eigenvalue ǯ͕3 + ͕4 + ͕5 (1)decomposition represent the magnitudes of the variance and their principal components ͕3 cos( ) = , cos( ) respectively. The principal components are ̻ ranked in order of the magnitudes of their ͕4 = , cos( ) eigenvalues, i.e. the eigenvector with the ̻ ͕5 maximum eigenvalue is referred to as the first = (2) principal component and so on. Prior to its ̻ application on a data set, the variables are ͘3 = −͆ cos( ) , standardised in order to prevent variables with ͘4 = −͆ cos( ) , relatively larger magnitudes from suppressing ͂ = ͆ cos( ) (3) those with lower magnitudes.

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