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Abstract
Traditional muscle paths (the straight-line model and the viapoint-line model) emphasise either the mechanical properties that arouse joint movement or the morphological characteristics of the muscles. To consider both the factors, a muscle-path-plane (MPP) method is introduced to model the paths of muscles during joint movement. This method is based on the premise that there is a MPP, constructed by origin, insertion and MPP control point, which represents the major direction of the muscle contraction for an arbitrary joint configuration at any time. Then, we can calculate the functions and the lengths of the muscle paths during instantaneous joint movement in MPP by mathematical approaches. Taking the triceps brachii as an example, the lengths of its paths during elbow flexion are calculated and compared with the relative studies reported in the literature. It is concluded that this method can provide an insight into the simulation of the muscle contraction.
Acknowledgement
This work was supported by National Natural Science Foundation of China (Grant no. 30530230).
Notes
1. All the superscripts ‘i’ in this article represent the sequence number of muscle.
2. Since it is similar to the transformation from JCS to SWCS, this will not be described in detail.
3.
and
are the dependent variables with respect to
on origin P and insertion Q, respectively;
and
are the derivatives with respect to
on origin P and insertion Q, respectively.
4. The method used here is the minimum square fitting method.