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A model for neural control of gradation of muscle force

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Abstract

A mathematical muscle model is presented that relates neural control signals linearly to muscle force without violating important known physiological constraints, such as the size-principle (Henneman and Mendell 1981) and non-linear twitch summation (Burke et al. 1976). This linearity implies that the neural control signals (defined as a weighted sum of activities in a nerve bundle) can be interpreted as the internal representation of total muscle force. The model allows for different relative contributions from the two force-grading mechanisms, i.e. the recruitment of motor units and the modulation of their firing frequency. It can therefore be applied to a variety of (distal and proximal) muscles. Furthermore, it permits simple mechanisms for controlling muscle force, e.g. in superposed motor tasks. The model confirms our intuitive notion that a weighted sum of activities in a nerve bundle can directly represent an external controlled variable, which in this case is exerted muscle force.

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  1. A. A. M. Tax

    Present address: Department of Medical Physics and Biophysics, University of Nijmegen, P.O. Box 9101, 6500 HB, Nijmegen, The Netherlands

Authors and Affiliations

  1. Department of Medical and Physiological Physics, Buys Ballot Laboratory, R. U. Utrecht, Princetonplein 5, 3584 CC, Utrecht, The Netherlands

    A. A. M. Tax & J. J. Denier van der Gon

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  1. A. A. M. Tax
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  2. J. J. Denier van der Gon
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Tax, A.A.M., Denier van der Gon, J.J. A model for neural control of gradation of muscle force. Biol. Cybern. 65, 227–234 (1991). https://doi.org/10.1007/BF00206220

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  • DOI: https://doi.org/10.1007/BF00206220

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