A comparison of methods for identifying the Jacobian for uncontrolled manifold variance analysis.

Journal of Biomechanics
Sandra Maria Sbeghen Ferreira de Freitas, J P Scholz

Abstract

Uncontrolled Manifold (UCM) analysis has been used to identify a component of joint variance leading to pointer-tip position variability and a component representing motor abundant joint combinations corresponding to an equivalent pointer-tip position. A Jacobian is required for UCM analysis, typically derived from an analytic model relating joint postures to pointer-tip position. Derivation of the Jacobian is often non-trivial, however, because of the complexity of the system being studied. In this article, we compared the effect of different methods of deriving the Jacobian on results of UCM analyses during reaching. Jacobian matrices were determined at each percentage of the reach across trials using one of three methods: (M1) partial derivatives of the geometric model relating ten joint postures, segment lengths and pointer length to the position of a hand-mounted pointer tip; or (M2-M3) as the coefficients of linear regression between the ten joint postures and either (M2) the pointer tip position measured directly from motion capture or (M3) the pointer-tip position estimated from the geometric model. For all methods, motor abundant joint variance (V(UCM)) was larger than joint variance leading to a variable pointer-tip p...Continue Reading

References

Dec 1, 1993·Journal of Biomechanics·I Söderkvist, P A Wedin
Jun 26, 1999·Experimental Brain Research·J P Scholz, G Schöner
Aug 9, 2003·Experimental Brain Research·Vijaya KrishnamoorthyVladimir M Zatsiorsky
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Mar 3, 2007·Neuroscience Letters·Sandra Maria Sbeghen Ferreira de FreitasAndrea Janelle Stehman
Jan 29, 2010·Journal of Neuroscience Methods·Sandra M S F FreitasMark L Latash

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Citations

Feb 18, 2016·Experimental Brain Research·Eunse ParkGregor Schöner
Aug 21, 2010·Neurobiology of Aging·Julius VerrelUlman Lindenberger
Nov 19, 2011·Human Movement Science·Wei-Li Hsu, John P Scholz
May 15, 2015·PloS One·Melissa C KilbyKarl M Newell
Nov 27, 2015·Experimental Brain Research·Geetanjali GeraJohn Peter Scholz
Feb 1, 2020·Human Factors·Leia StirlingHyeg Joo Choi
Jul 5, 2017·Frontiers in Human Neuroscience·Jaebum Park, Dayuan Xu
May 23, 2018·Developmental Psychobiology·Laura GoleniaRaoul M Bongers
Feb 6, 2017·Experimental Brain Research·Sarine BabikianJason J Kutch

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