Abstract
A model for the motor-unit action-potential train is developed, based on previously obtained empirical information. The auto and cross-correlation functions are calculated. The autocorrelation function is used to derive the mean rectified value, the variance and the root-mean-squared value of a motor-unit action-potential train. These parameters are solved by using two approximations for the motor-unit action-potential; a piece-wise approximation and a Dirac Delta function approximation. The Dirac Delta function approximation sufficiently simplifies the mathematics so that the model can be extended to myoelectric signals. The cross-correlation function contains information about the synchronization of motorunit action-potential trains that may be useful as an objective indicator of muscle fatigue.
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De Luca, C.J. A model for a motor unit train recorded during constant force isometric contractions. Biol. Cybernetics 19, 159–167 (1975). https://doi.org/10.1007/BF00337255
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DOI: https://doi.org/10.1007/BF00337255