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Journal of Computational Neuroscience

, Volume 22, Issue 3, pp 347–361 | Cite as

Analysis of the effects of firing rate and synchronization on spike-triggered averaging of multidirectional motor unit torque

  • Jason J. KutchEmail author
  • Nina L. Suresh
  • Anthony M. Bloch
  • William Z. Rymer
Article

Abstract

Spike-triggered averaging (STA) of muscle force transients has often been used to estimate motor unit contractile properties, using the discharge of a motor unit within the muscle as the triggering events. For motor units that exert torque about multiple degrees-of-freedom, STA has also been used to estimate motor unit pulling direction. It is well known that motor unit firing rate and weak synchronization of motor unit discharges with other motor units in the muscle can distort STA estimates of contractile properties, but the distortion of STA estimates of motor unit pulling direction has not been thoroughly evaluated. Here, we derive exact equations that predict that STA decouples firing rate and synchronization distortion when used to estimate motor unit pulling direction. We derive a framework for analyzing synchronization, consider whether the distortion due to synchronization can be removed from STA estimates of pulling direction, and show that there are distributions of motor unit pulling directions for which STA is insensitive to synchronization. We conclude that STA may give insight into how motoneuronal synchronization is organized with respect to motor unit pulling direction.

Keywords

Spike-triggered averaging Motor unit Pulling direction Firing rate Synchronization 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Jason J. Kutch
    • 1
    • 2
    Email author
  • Nina L. Suresh
    • 2
  • Anthony M. Bloch
    • 1
  • William Z. Rymer
    • 2
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Sensory Motor Performance ProgramRehabilitation Institute of ChicagoChicagoUSA

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