Different predictions by the minimum variance and minimum torque-change models on the skewness of movement velocity profiles

Neural Computation
Hirokazu TanakaNing Qian

Abstract

We investigated the differences between two well-known optimization principles for understanding movement planning: the minimum variance (MV) model of Harris and Wolpert (1998) and the minimum torque change (MTC) model of Uno, Kawato, and Suzuki (1989). Both models accurately describe the properties of human reaching movements in ordinary situations (e.g., nearly straight paths and bell-shaped velocity profiles). However, we found that the two models can make very different predictions when external forces are applied or when the movement duration is increased. We considered a second-order linear system for the motor plant that has been used previously to simulate eye movements and single-joint arm movements and were able to derive analytical solutions based on the MV and MTC assumptions. With the linear plant, the MTC model predicts that the movement velocity profile should always be symmetrical, independent of the external forces and movement duration. In contrast, the MV model strongly depends on the movement duration and the system's degree of stability; the latter in turn depends on the total forces. The MV model thus predicts a skewed velocity profile under many circumstances. For example, it predicts that the peak locati...Continue Reading

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Citations

Feb 9, 2011·Biological cybernetics·Xuezhong Wang, Simon M Hsiang
Feb 19, 2008·The European Journal of Neuroscience·Emmanuel GuigonMichel Desmurget
Nov 3, 2016·ELife·Jeremie GaveauCharalambos Papaxanthis
Mar 31, 2006·Journal of Neurophysiology·Hirokazu TanakaNing Qian
Oct 18, 2013·Journal of Neurophysiology·Jérémie GaveauCharalambos Papaxanthis
May 8, 2021··Xiuli ChenAditya Acharya

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