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248                             Georgios A. Bertos and Evangelos G. Papadopoulos


             Siegler et al. (1982) performed simulations of the human gait with the aid
          of a simple mechanical model consisting of a spring in parallel to a damping
          element (Fig. 2C). Gard and Childress (2002) expanded the rocker-based
          inverted pendulum model by adding a spring and a damper (Fig. 2D).
             Τo design improved lower-limb prostheses, we need to understand
          the normal gait and the interaction of the amputees with the prostheses,
          so as to be able to improve the prosthetic gait to match the characteristics
          of the normal one. Despite many attempts around the world, there is no
          complete theory of the gait up to now.
             Two of the aspects of normal walking we have investigated are the
          stance-phase knee flexion and pelvic obliquity. We believe that both of these
          movements provide shock absorption during the early stance phase. Pelvic
          obliquity was one of the six determinants of gait believed to decrease the
          vertical excursion of the body center of mass (BCOM) in order to conserve
          energy (Saunders et al., 1953; Inman et al., 1994, 1981). Using the NUPRL,
          it was found that the above statement is not true for normal walking (Gard
          and Childress, 1997a). The peak-to-peak vertical displacement of the center
          of mass due to pelvic obliquity is not different than the peak-to-peak vertical
          displacement of the center of mass without pelvic obliquity (Fig. 3A). The
          conclusion was that pelvic obliquity does not decrease the vertical excursion
          of the BCOM. Pelvic obliquity is maximum at around the time of contra-
          lateral toe-off, being out of phase with the vertical excursion of the BCOM,
          suggesting that this movement is important for shock absorption in the early
          stance phase, as suggested by Perry (1992) and Sutherland et al. (1994).
             Similar to pelvic obliquity, stance-phase knee flexion during the early
          stance is one of the six determinants of gait and was believed to lower the
          vertical excursion of the BCOM in order to conserve energy (Inman
          et al., 1981, 1994; Saunders et al., 1953). Data show that the effect of the
          stance-phase knee flexion on the peak-to-peak vertical excursion of the
          BCOM is negligible (Gard and Childress, 1997a,b, 1999; Fig. 3B). During
          the stance phase, knee flexion is maximized around the time of contralateral
          toe-off, and minimized when the knee is nearly fully extended and the trunk
          reaches its peak vertical displacement during the gait cycle (Fig. 3B). Like
          pelvic obliquity, stance-phase knee flexion is out of phase with the BCOM
          vertical displacement due to joint configuration; these results also have been
          verified by Quesada and Rash (1998).
             Pelvic obliquity and stance-phase knee flexion play a critical role in
          shock absorption during the early stance phase of normal walking. Thus,
          it might be beneficial for the amputees to incorporate the shock absorption
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