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126  BIOMECHANICS OF THE HUMAN BODY

                       combinations of movement analysis and biomechanical modeling (e.g., Delp et al., 1996). Gait
                       analysis can also be used to monitor the progression of the disease and the efficacy of the treatment.
                         Third, the study of human athletic performance has been revolutionized by motion analysis
                       equipment and software that make it possible to readily analyze complex three-dimensional
                       movements. From cricket bowling to figure skating to swimming to pole vaulting, the kinematics
                       and kinetics have been examined with an aim to improve human performance.
                         Fourth, there is substantial interest in human movement from those studying ergonomics and
                       human factors related to military applications. Both the development of human-machine interfaces
                       for high-tech weapons and the minimization of industrial injuries require knowledge of human
                       kinematics and kinetics.
                         Finally, the kinematics of human movement has been studied by animators interested in making
                       computer-generated characters move in realistic ways. By recording actors while they perform
                       choreographed dances and movements, it is possible to get complex kinematic data into a computer,
                       which can then be used to animate a computer-generated image.


           6.2 FORWARD VERSUS INVERSE DYNAMICS

                       There are two fundamentally different approaches to studying the biomechanics of human movement:
                       forward dynamics and inverse dynamics. Either can be used to determine joint kinetics (e.g., estimate
                       joint moments during movements).


           6.2.1 Forward Dynamics
                       In a forward dynamics approach to the study of human movement, the input to the system is the neural
                       command (Fig. 6.1). This specifies the level of activation to the muscles. The neural command can
                       be estimated by optimization models (Zajac, 1989; Pandy and Zajac, 1991) or from electromyograms
                       (EMGs). The neural command is the sum of the neuronal signals from the α-motorneurons (that
                       originate in the spinal cord) to the fibers of each muscle. This can be represented by a single value


                        Muscle activation  Muscle forces     Joint moments





              External forces
                                                                      Multijoint dynamics
               and moments
                                                 Musculo-               ..        .
             Neural    α , α , α 3  Musculo-  F 1  skeletal   T 1  Eqs  θ 1       θ 1      θ 1
                           2
                        1
                                                                        ..
                                                                                  .
            command              tendon    F 2   geometry   T 2    of   θ 2   ∫   θ 2   ∫  θ 2
                                Dynamics   F 3    (moment        motion
                                                   arms)



                                              Sensory
                                               organs

           FIGURE 6.1 Forward dynamics approach to studying human movement. This simplified figure depicts the neural command and forces
           for three muscles and the moments and joint angles for a two-joint system. See text for details.
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