Synthetic M arker Data with N oise ............................ ................................... 13 Experimental M arker Data .................... ................ ........... 14 4 R E S U L T S .....................................................................................................2 9 Synthetic M arker Data without N oise ............................................. ............... 29 Synthetic M arker D ata w ith N oise ........................................ ........................ 29 E xperim ental M arker D ata .............................................................. .....................29 5 D ISC U S SIO N ............... ................................................................................ 36 Assumptions, Limitations, and Future W ork................................... ............... 36 Joint M odel Selection ............... ........... .. ...... ....... ................... 36 Design Variable Constraints........ ........... ... ............. .... ..... .......... 36 Objective Function Formulation.................................................................... 37 Optimization Time and Parallel Computing............................................ 37 M ulti-Cycle and One-Half-Cycle Joint M otions..............................................38 Range of Motion and Loading Conditions .................................39 Optimization Using Gait Motion...... .................................... 39 Comparison of Experimental Results with Literature ............................. .............40 6 CONCLUSION ........... ................ .... .. ... ......... ...... .............. 43 Rationale for New Approach ............... ......... ..................... 43 Synthesis of Current W ork and Literature........................................ ....... ............ 43 G L O S SA R Y ...................................................................4 5 APPENDIX A NOMINAL JOINT PARAMETERS & OPTIMIZATION BOUNDS FOR SYN TH ETIC M ARK ER D A TA ................................................... ............... ............52 B NOMINAL JOINT PARAMETERS & OPTIMIZATION BOUNDS FOR EXPERIMENTAL M ARKER DATA ............................................ ............... 55 C NOMINAL & OPTIMUM JOINT PARAMETERS FOR SYNTHETIC MARKER D A TA W ITH OU T N OISE .............................................. ..... ........................ 58 D NOMINAL & OPTIMUM JOINT PARAMETERS FOR SYNTHETIC MARKER D A TA W ITH N O ISE ........................................................................... .............61 E NOMINAL & OPTIMUM JOINT PARAMETERS FOR MULTI-CYCLE EXPERIMENTAL MARKER DATA ............................... .......................... 64 F NOMINAL & OPTIMUM JOINT PARAMETERS FOR FIRST ONE-HALF-CYCLE EXPERIMENTAL MARKER DATA...............................67