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Portfolio theory of optimal isometric force production: Variability predictions and nonequilibrium fluctuation-dissipation theorem |
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| Authors: | TD Frank K Patanarapeelert |
| Institution: | a Department of Psychology, Center for the Ecological Study of Perception and Action, University of Connecticut, 406 Babbidge Road, Storrs, CT 06269, USA b Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany c Faculty of Science, Department of Mathematics, Silpakorn University, Sanam Chandra Palace Campus, Nakhon Pathom 73000, Thailand d Faculty of Human Movement Sciences and Research Institute Move, VU University Amsterdam, Van der Boechorststraat 9, 1081 BT Amsterdam, The Netherlands |
| Abstract: | We derive a fundamental relationship between the mean and the variability of isometric force. The relationship arises from an optimal collection of active motor units such that the force variability assumes a minimum (optimal isometric force). The relationship is shown to be independent of the explicit motor unit properties and of the dynamical features of isometric force production. A constant coefficient of variation in the asymptotic regime and a nonequilibrium fluctuation-dissipation theorem for optimal isometric force are predicted. |
| Keywords: | 87 19 Ff 89 65 Gh 02 70 Rr |
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