Title | ||
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Invariant Density Analysis: Modeling and Analysis of the Postural Control System Using Markov Chains |
Abstract | ||
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In this paper, a novel analysis technique, invariant density analysis (IDA), is introduced. IDA quantifies steady-state behavior of the postural control system using center of pressure (COP) data collected during quiet standing. IDA relies on the analysis of a reduced-order finite Markov model to characterize stochastic behavior observed during postural sway. Five IDA parameters characterize the model and offer physiological insight into the long-term dynamical behavior of the postural control system. Two studies were performed to demonstrate the efficacy of IDA. Study 1 showed that multiple short trials can be concatenated to create a dataset suitable for IDA. Study 2 demonstrated that IDA was effective at distinguishing age-related differences in postural control behavior between young, middle-aged, and older adults. These results suggest that the postural control system of young adults converges more quickly to their steady-state behavior while maintaining COP nearer an overall centroid than either the middle-aged or older adults. Additionally, larger entropy values for older adults indicate that their COP follows a more stochastic path, while smaller entropy values for young adults indicate a more deterministic path. These results illustrate the potential of IDA as a quantitative tool for the assessment of the quiet-standing postural control system. |
Year | DOI | Venue |
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2012 | 10.1109/TBME.2012.2184105 | Biomedical Engineering, IEEE Transactions |
Keywords | Field | DocType |
Markov processes,biomechanics,entropy,geriatrics,medical control systems,Markov chain,center of pressure data,entropy,invariant density analysis,middle-aged adult,older adult,postural control system,postural sway,quiet standing,reduced-order finite Markov model,stochastic behavior,stochastic path,young,Balance,Center of Pressure (COP),Nonlinear Biodynamics,Postural Control,Stochastic Mechanics | Data modeling,Markov process,Markov model,Computer science,Control theory,Markov chain,Balance (ability),Center of pressure (fluid mechanics),Trajectory,Centroid | Journal |
Volume | Issue | ISSN |
59 | 4 | 0018-9294 |
Citations | PageRank | References |
1 | 0.48 | 1 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Pilwon Hur | 1 | 4 | 4.37 |
K Alex Shorter | 2 | 1 | 0.82 |
Prashant G. Mehta | 3 | 4 | 1.07 |
Elizabeth T. Hsiao-Wecksler | 4 | 10 | 3.24 |