Identifying Musculo-tendon Parameters of Human
Body Based on the Musculo-skeletal Dynamics
Computation and Hill-Stroeve Muscle Model
Gentiane Venture, Katsu Yamane and Yoshihiko Nakamura
Department of Mechano-Informatics
University of Tokyo
7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
gentiane@ynl.t.u-tokyo.ac.jp, yamane@ynl.t.u-tokyo.ac.jp, nakamura@ynl.t.u-tokyo.ac.jp
Abstract— The goal of the works presented in this paper is
to study the feasibility of the in-vivo estimation of the musculo-
tendon dynamics using an original approach. Contrarily to usual
literature in this field the Hill-Stroeve based model parameters
are estimated, and not only some global parameters with
little physiological meaning. This estimation is based on the
computation of the inverse kinematics and the inverse dynamics
of the human body, using a musculo-skeletal description. It
also includes an optimization of the muscle force. Muscles
are described by a modified and simplified Hill-type model.
Parameters involved in this model are estimated in-vivo. In the
preliminary works the flexion-extension of the elbow joint only
is considered. Experimental set-up includes EMGs acquisition
and motion capture data. Movements are chosen to limit co-
contraction of antagonist muscles. Results are given for three of
four muscles involved in the joint movements. Such results are
very important for medical applications in rehabilitation, sport
science, study of muscle diseases...
I. I NTRODUCTION
Robots get closer to human due to the miniaturization of
components and the developments of artificial organs such as
muscles and the enhanced computation power. Although the
human body is very complex and the ability of movement is
very wide which make its comprehension more difficult. For
a clear understanding of the human dynamics and to generate
smooth movements it is very important to have a good knowl-
edge of the human anatomy and of its dynamics. Though
actuators of the human body are the muscles, their dynamics
is very important in the study of the human body movements.
Its complexity is mainly due to its biologic nature, the high
number of muscles and degrees of freedom and also because
of the differences between each human being: size, mass,
strength, capacity... which are closely related to the history
of the subject: doing sports, having had injuries... In dynamic
modelling it is important that the model used gives a realistic
description of the behavior and that this model is adapted
to the subject. For this reason the subject specific musculo-
tendon’s dynamics must be estimated. The model used for the
muscle modelling is based on the Hill-Stroeve model, known
to be the most accurate model to describe the complex muscle
CE
l
mt
l
m
l
t
muscle tendon
Fig. 1. Musculo-tendon complex without pinnation angle
dynamics, and related to the micro-structure of the muscle.
Unlike usual works on the human body where this model is
globally scaled to the subject, the proposed method focuses
on the subject-specific parameters involved in this model.
Previous simulation results have shown that it is technically
possible to estimate those dynamic parameters of the muscles.
This paper first presents a sum up of the dynamic modelling
of musculo-tendon complex based on the Hill-type modelling
(Section II). Then in the third section a simple modelling of
the elbow joint, considering one degree of freedom, is given.
The fourth section presents the experimental set up based on
the use of EMGs measurements and motion capture system.
Finally the fifth section gives the identification method, some
simulation results and the preliminary experimental results.
II. MUSCULO- TENDON COMPLEX DYNAMICS
The musculo-tendon complex is composed of the tendon
and the muscle (Fig.1). The tendon is a passive wire that does
not generate movement. The muscle is an active contractile
element (generally noted CE) that generates contraction of the
muscle controlled by neural excitation and then its lengthen-
ing or its shortening. Contractions of the muscle are assumed
to be iso-volume [1].
A. Musculo-tendon complex dynamics modelling
The musculo-tendon dynamics is function of the muscle
activity a(t), and the length and velocity of the muscle and the
tendon, respectively l
m
,
˙
l
m
, l
t
and
˙
l
t
. The model given here
Proceedings of 2005 5th IEEE-RAS International Conference on Humanoid Robots
0-7803-9320-1/05/$20.00 ©2005 IEEE 351