Page 300 - Biomedical Engineering and Design Handbook Volume 1, Fundamentals
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VIBRATION, MECHANICAL SHOCK, AND IMPACT  277

               Z displacement OC joint, m  0.10  Head angle ϕ – ϕ 0 , deg 150  Neck angle θ – θ 0 , deg 150
                 0.15
                                                   B
                      A
                                                                              C
                                              100
                                                                          100
                                               50
                 0.05
                                                                           50
                                               0
                 0.00
                 –0.05
                    –0.05 0.00 0.05 0.10 0.15  –50  0  50 100 150 200 250  –0  0    50   100   150
                     X displacement OC joint, m  50     Time, ms          400  Head angle ϕ – ϕ 0 , deg
                Angular head acceleration, rad/s 2  –1250 0  D  Moment of force (Y) OC joint, N·m  –50 0  E  Response of head acceleration, m/s 2  300  F
                  2500

                  1250

                                                                          200

                                                                          100
                 –2500
                      0
                            100
                         50
                                150
                                                                                    Time, ms
                                                        Time, ms
                             Time, ms  200  250  –100  0  50 100 150 200 250  0  0  50 100 150 200 250
                                                   100% active muscle behavior
                                                   Passive muscle behavior
                                                   Human volunteer corridor
              FIGURE 11.12  Response of human volunteers and the 3D MADYMO model of the head and neck to spineward decelerations. The range
              of responses from human subjects is shown by the dotted lines, and the response of the model with passive and active muscles is shown by
              the dashed and continuous lines, respectively (see text for explanation of the motions plotted). (RTO-MP-20, 1999.)

                          (Fig. 11.11 f )]. In contrast, the three-dimensional head and neck model for MADYMO can be seen
                          to reproduce most human responses when active muscle behavior is included (the continuous lines
                          in Fig. 11.12). In this computer model, the neck muscles are represented by simple cords between
                          anatomical attachment points on the head and the base of the neck.

                          Animals. Employing the results of experiments with animals to predict biodynamic responses in
                          humans introduces uncertainties associated with interspecies differences such as the size of body
                          parts and organs, which influence resonance frequencies. For this reason, most animal research on
                          the limit of exposure to rapid horizontal deceleration and to vertical acceleration, which commonly
                          involves shock and impact, has employed mammals of roughly similar size and mass to man
                          (i.e., pigs and chimpanzees). Research on pathophysiological mechanisms is less subject to concerns
                          with different body size, and more with the biological equivalence of the systems being studied.

                          Cadavers. Human cadavers have also been used for experiments involving potentially injurious
                          stimuli, and in particular to relate skull fracture to frontal head impact. Such studies resulted in the for-
                          mulation of the Wayne State concussion tolerance curve, which has been widely used to define surviv-
                          able head impacts in motor vehicle collisions (SAE J885, 1986). Cadavers lack appropriate mechanical
                          properties for tissues and muscle tension. The latter is important for obtaining realistic human responses,
                          as can be seen from Fig. 11.12 by comparing the results with and without active muscle behavior.
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