Determination of instantaneous stability against backward balance loss: two computational approaches.

Journal of Biomechanics
Feng YangYi-Chung Pai

Abstract

The purposes of this study were (1) to develop two computational methods and (2) to compare their performance (i.e. the accuracy and the time demand) in determining instantaneous stability, i.e., the shortest distance from an instantaneous center of mass (COM) state to all interpolated points on the stability boundary in the COM position-velocity state space. The intuitive numerical method interpolated the stability boundary against backward balance loss based on four sets of discrete boundary values with a spline function and a preset step size (Deltax). Then a brute-force search approach was used to determine this shortest distance. The analytical method used quadratic polynomial functions to represent the boundaries. The stability was then determined by using the Lagrange multiplier method to find the optimum for the analytical expression of the distance from this given COM state to the boundary. Because reducing Deltax can supposedly improve the accuracy of spline fitting, we used this approach to establish the benchmark employed to determine the accuracy level of all other computations. Based on the results from a database of 67 sit-to-stand-slip trials and 687 gait-slip trials, we would recommend the numerical method with...Continue Reading

References

Apr 1, 1997·Journal of Biomechanics·Y C Pai, J Patton
Jun 1, 1999·JAMA : the Journal of the American Medical Association·P KannusI Vuori
Aug 13, 2002·Experimental Brain Research·Michael J Pavol, Yi-Chung Pai
Dec 14, 2005·Experimental Brain Research·T BhattY-C Pai
May 26, 2006·Journal of Biomechanics·Feng YangYi-Chung Pai
Aug 1, 2006·Journal of Biomechanics·Michael J Pavol, Yi-Chung Pai
Jun 10, 2008·Journal of Biomechanics·Feng YangYi-Chung Pai

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Citations

Sep 18, 2009·Annals of Biomedical Engineering·Feng YangYi-Chung Pai
Jul 14, 2009·Journal of Motor Behavior·Tanvi Bhatt, Yi-Chung Pai
Apr 8, 2010·Chaos·Shane D RossCarmine Senatore
Dec 3, 2014·Journal of Biomechanics·Feng Yang, Yi-Chung Pai
Jun 10, 2008·Journal of Biomechanics·Feng YangYi-Chung Pai
Aug 28, 2013·Journal of Biomechanics·Feng Yang, Clive Yi-Chung Pai
May 20, 2014·Journal of Biomechanics·Feng YangYi-Chung Pai
Oct 4, 2016·Journal of Electromyography and Kinesiology : Official Journal of the International Society of Electrophysiological Kinesiology·Feng Yang, George A King

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