Title page for ETD etd-09162005-172347

Type of Document Master's Thesis
Author England, Scott Alan
Author's Email Address scenglan@vt.edu
URN etd-09162005-172347
Title Quantifying Dynamic Stability of Musculoskeletal Systems using Lyapunov Exponents
Degree Master of Science
Department Engineering Science and Mechanics
Advisory Committee
Advisor Name Title
Granata, Kevin P. Committee Chair
Hong, Dennis W. Committee Member
Madigan, Michael L. Committee Member
  • Stability
  • Lyapunov Exponents
Date of Defense 2005-09-13
Availability restricted
Increased attention has been paid in recent years to the means in which the body maintains stability and the subtleties of the neurocontroller. Variability of kinematic data has been used as a measure of stability but these analyses are not appropriate for quantifying stability of dynamic systems. Response of biological control systems depend on both temporal and spatial inputs, so means of quantifying stability should account for both. These studies utilized tools developed for the analysis of deterministic chaos to quantify local dynamic stability of musculoskeletal systems.

The initial study aimed to answer the oft assumed conjecture that reduced gait speeds in people with neuromuscular impairments lead to improved stability. Healthy subjects walked on a motorized treadmill at an array of speeds ranging from slow to fast while kinematic joint angle data were recorded. Significant (p < 0.001) trends showed that stability monotonically decreased with increasing walking speeds.

A second study was performed to investigate dynamic stability of the trunk. Healthy subjects went through a variety of motions exhibiting either symmetric flexion in the sagittal plane or asymmetric flexion including twisting at both low and high cycle frequencies. Faster cycle frequencies led to significantly (p<0.001) greater instability than slower frequencies. Motions that were hybrids of flexion and rotation were significantly (p<0.001) more stable than motions of pure rotation or flexion.

Finding means of increasing dynamic stability may provide great understanding of the neurocontroller as well as decrease instances of injury related to repetitive tasks. Future studies should look in greater detail at the relationships between dynamic instability and injury and between local dynamic stability and global dynamic stability.

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