Mathematical Approaches to Biological Systems 2015
DOI: 10.1007/978-4-431-55444-8_1
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Human Balance Control: Dead Zones, Intermittency, and Micro-chaos

Abstract: Summary. The development of strategies to minimize the risk of falling in the elderly represents a major challenge for aging, in industrialized societies. The corrective movements made by humans to maintain balance are small amplitude, intermittent and ballistic. Small amplitude, complex oscillations (micro-chaos) frequently arise in industrial settings when a time-delayed digital processor attempts to stabilize an unstable equilibrium. Taken together these observations motivate considerations of the effects o… Show more

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Cited by 13 publications
(12 citation statements)
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References 100 publications
(168 reference statements)
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“…Indeed the transition between two attractors in DDEs typically takes multiple steps because any solutions with close initial conditions can be on opposite sides of the boundary between the two attractors [23,59,63]. The duration for the transiently stabilized state observed for (1.8) is an order of magnitude shorter than observed for (1.6) [31,54]. Presumably, as the number of thresholds to be negotiated increases (e.g., one each for θ,θ,θ), the duration of the transiently stabilized state becomes longer and longer.…”
Section: Semidiscretization: 0 < R < ∞mentioning
confidence: 95%
“…Indeed the transition between two attractors in DDEs typically takes multiple steps because any solutions with close initial conditions can be on opposite sides of the boundary between the two attractors [23,59,63]. The duration for the transiently stabilized state observed for (1.8) is an order of magnitude shorter than observed for (1.6) [31,54]. Presumably, as the number of thresholds to be negotiated increases (e.g., one each for θ,θ,θ), the duration of the transiently stabilized state becomes longer and longer.…”
Section: Semidiscretization: 0 < R < ∞mentioning
confidence: 95%
“…It is likely that all sensory receptors possess a dead zone, namely a threshold below which changes in input are not reflected by changes in output [50]. Usually, the dead zone is very small and hence the presence of lowamplitude oscillations and microchaos is buried within the intrinsic noisy variability.…”
Section: Discussionmentioning
confidence: 99%
“…The transition matrix, P, of the postural sway is irreducible by the construction 23 and aperiodic by its nature 70 . Note that the transition matrix, P, is an approximation of the Perron-Frobenius operator.…”
Section: Competing Interestsmentioning
confidence: 99%