Fundamentals of Neuromechanics by Francisco J. Valero-Cuevas

Author:Francisco J. Valero-Cuevas
Language: eng
Format: epub
Publisher: Springer London, London

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7.5 Size and Shape of Feasible Sets

The first thing to notice when you build the feasible joint torque set in Fig. 7.5 is that each and every muscle affects the size and shape of the zonotope. Given that the transformation by the is linear, it stands to reason that the larger the feasible joint torque set is, the larger the feasible output wrench set will be. Having large joint torque and feasible force sets is, of course, desirable as it grants the system greater mechanical output capabilities, such as strength, but there are some interesting physiological consequences to zonotopes created by Minkowski sums:

Fig. 7.9Zonotope created to simulate the addition of 3 to 8 generators (i.e., independently controlled muscles). This was done by defining a random matrix and then using its first 3 to 8 column vectors, which is the same as adding the 3rd to 8th generator, one generator at a time

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