Delp S.L., Loan J.P., Hoy M.G., Zajac F.E., Topp E.L., Rosen J.M., Thelen D.G., Anderson F.C., Seth A.
Notes: 3D, 23 DOF gait model created by D.G. Thelen, Univ. of Wisconsin-Madison, and Ajay Seth, Frank C. Anderson, and Scott L. Delp, Stanford University. Lower extremity joint defintions based on Delp et al. (1990). Low back joint and anthropometry based on Anderson and Pandy (1999, 2001). Planar knee model of Yamaguchi and Zajac (1989). Seth removed the patella to avoid kinematic constraints; insertions of the quadrucepts are handled with moving points in the tibia frame. Number of muscles was reduced by Anderson to improve simulation speed for demonstrations and is not intended to be used in research.
Delp, S.L., Loan, J.P., Hoy, M.G., Zajac, F.E., Topp E.L., Rosen, J.M.: An interactive graphics-based model of the lower extremity to study orthopaedic surgical procedures, IEEE Transactions on Biomedical Engineering, vol. 37, pp. 757-767, 1990.
Yamaguchi G.T., Zajac F.E.: A planar model of the knee joint to characterize the knee extensor mechanism." J . Biomecl7. vol. 21. pp. 1-10. 1989.
Anderson F.C., Pandy M.G.: A dynamic optimization solution for vertical jumping in three dimensions. Computer Methods in Biomechanics and Biomedical Engineering 2:201-231, 1999.
Anderson F.C., Pandy M.G.: Dynamic optimization of human walking. Journal of Biomechanical Engineering 123:381-390, 2001.
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knee_angle_l
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0.01546364 0.01785887 0.02730179 0.02943393 0.03053083 0.03629525 0.04189086 0.04475199 0.04802806 0.05302919 0.06129436 0.06130361 0.06131287 0.06283349 0.06649150 0.07275368 0.05691796
knee_angle_l
-2.09439510 -1.99997279 -1.57079633 -1.45752446 -1.39626340 -1.04719755 -0.69813170 -0.52639130 -0.34906585 -0.17453293 0.00000000 0.00017453 0.00034907 0.02792527 0.08726646 0.17453293 2.09439510
0.02642961 0.02682437 0.02835158 0.02853825 0.02857793 0.02813062 0.02736173 0.02691854 0.02643875 0.02569895 0.02368907 0.02368614 0.02368320 0.02316802 0.02164731 0.01801225 -0.07606296
knee_angle_l
-2.09440000 0.17450000
-0.00127031 -0.00127031
1169.00000000
0.11944674
0.32481130
0.08726646
9
0.03149497 -0.20281428 -0.03102780
femur_l
0.03638212 -0.21968034 -0.02852556
femur_l
0.03725095 -0.42481370 -0.00550493
femur_l
knee_angle_l
-2.61799388 -1.41999988
tibia_l
knee_angle_l
-2.09439510 -1.99997279 -1.57079633 -1.45752446 -1.39626340 -1.04719755 -0.69813170 -0.52639130 -0.34906585 -0.17453293 0.00000000 0.00017453 0.00034907 0.02792527 0.08726646 0.17453293 2.09439510
0.00821125 0.01060647 0.02005263 0.02218533 0.02328233 0.02905197 0.03468438 0.03758700 0.04094746 0.04617972 0.05504724 0.05505740 0.05506758 0.05674289 0.06081244 0.06792357 0.06439513
knee_angle_l
-2.09439510 -1.99997279 -1.57079633 -1.45752446 -1.39626340 -1.04719755 -0.69813170 -0.52639130 -0.34906585 -0.17453293 0.00000000 0.00017453 0.00034907 0.02792527 0.08726646 0.17453293 2.09439510
0.02889900 0.02929376 0.03083324 0.03102203 0.03106207 0.03063441 0.02999929 0.02969852 0.02948565 0.02936623 0.02855274 0.02855133 0.02854991 0.02828210 0.02734121 0.02464272 -0.07740996
knee_angle_l
-2.09440000 2.09440000
-0.00163325 -0.00163325
5000.00000000
0.11134031
0.12070538
0.05235988
9
-0.02063464 -0.41416700 0.02352108
femur_l
-0.03258101 -0.42397040 0.02582314
femur_l
knee_angle_l
-0.78539816 0.17453293
0.00000000 0.03250753 0.00533804
calcn_l
2500.00000000
0.10191780
0.40767121
0.29670597
9
-0.00238200 -0.17306184 -0.00644228
tibia_l
0.00000000 0.03250753 0.00533804
calcn_l
4000.00000000
0.09072734
0.24950019
0.43633231
9
-0.00932950 -0.15217702 -0.00172399
tibia_l
-0.01429200 -0.45732128 0.02077862
tibia_l
0.04459214 0.03502424 0.02880529
calcn_l
0.08255428 0.01667322 0.02830170
calcn_l
3600.00000000
0.03500219
0.35002194
0.20943951
9
0.01776575 -0.18333492 -0.01043468
tibia_l
0.03265325 -0.44603219 0.01606033
tibia_l
0.12468691 0.01866561 0.03071892
calcn_l
3000.00000000
0.11150989
0.25374188
0.08726646
9
-0.15630571 0.04527550 0.04125414
pelvis
-0.06385320 0.10128110 0.02429877
torso
2500.00000000
0.11421347
0.02855337
0.00000000
9
-0.15630571 0.04527550 -0.04125414
pelvis
-0.06385320 0.10128110 -0.02429877
torso
2500.00000000
0.11421347
0.02855337
0.00000000
9
-0.04465877 0.07219329 0.10947488
pelvis
0.08126770 0.14731796 0.01512371
torso
900.00000000
0.09318711
0.09318711
0.00000000
9
-0.04465877 0.07219329 -0.10947488
pelvis
0.08126770 0.14731796 -0.01512371
torso
900.00000000
0.09318711
0.09318711
0.00000000
9
-0.03349408 -0.06559276 0.00946196
pelvis
0.07546287 0.10128110 0.11090723
torso
900.00000000
0.11852044
0.13827384
0.00000000
9
-0.03349408 -0.06559276 -0.00946196
pelvis
0.07546287 0.10128110 -0.11090723
torso
900.00000000
0.11852044
0.13827384
0.00000000
9
0.00000000 -9.80665000 0.00000000
0.00000000
0.00000000 0.00000000 0.00000000
0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
1.00000000 1.00000000 1.00000000
11.41814775
-0.07893438 0.00000000 0.00000000
0.09642110 0.00000000 0.00000000 0.00000000 0.09642110 0.00000000 0.00000000 0.00000000 0.06463759
sacrum.vtp pelvis.vtp l_pelvis.vtp
1.11646936 1.03133267 0.94619598
9.48437306
0.00000000 -0.17920181 0.00000000
0.15128207 0.00000000 0.00000000 0.00000000 0.03890451 0.00000000 0.00000000 0.00000000 0.15128207
femur.vtp
1.08603351 1.05412829 1.00089682
3.35417916
0.00000000 -0.21076742 0.00000000
0.05724788 0.00000000 0.00000000 0.00000000 0.00415515 0.00000000 0.00000000 0.00000000 0.05724788
tibia.vtp fibula.vtp
0.99249988 1.12890961 0.90736320
0.09047011
0.00000000 0.00000000 0.00000000
0.00092671 0.00000000 0.00000000 0.00000000 0.00090895 0.00000000 0.00000000 0.00000000 0.00090895
talus.vtp
0.99249988 1.12890961 0.90736320
1.25630477
0.10693560 0.03145890 0.00000000
0.00148608 0.00000000 0.00000000 0.00000000 0.00442077 0.00000000 0.00000000 0.00000000 0.00442077
foot.vtp
1.06935597 1.04862992 1.00717781
0.21769249
0.03699972 0.00629178 -0.01762561
0.00010615 0.00000000 0.00000000 0.00000000 0.00022547 0.00000000 0.00000000 0.00000000 0.00022547
bofoot.vtp
1.06935597 1.04862992 1.00717781
9.48437306
0.00000000 -0.17920181 0.00000000
0.15128207 0.00000000 0.00000000 0.00000000 0.03890451 0.00000000 0.00000000 0.00000000 0.15128207
l_femur.vtp
1.08603351 1.05412829 1.00089682
3.35417916
0.00000000 -0.21076742 0.00000000
0.05724788 0.00000000 0.00000000 0.00000000 0.00415515 0.00000000 0.00000000 0.00000000 0.05724788
l_tibia.vtp l_fibula.vtp
0.99249988 1.12890961 0.90736320
0.09047011
0.00000000 0.00000000 0.00000000
0.00092671 0.00000000 0.00000000 0.00000000 0.00090895 0.00000000 0.00000000 0.00000000 0.00090895
l_talus.vtp
0.99249988 1.12890961 0.90736320
1.25630477
0.10693560 0.03145890 0.00000000
0.00148608 0.00000000 0.00000000 0.00000000 0.00442077 0.00000000 0.00000000 0.00000000 0.00442077
l_foot.vtp
1.06935597 1.04862992 1.00717781
0.21769249
0.03699972 0.00629178 0.01762561
0.00010615 0.00000000 0.00000000 0.00000000 0.00022547 0.00000000 0.00000000 0.00000000 0.00022547
l_bofoot.vtp
1.06935597 1.04862992 1.00717781
32.83581308
-0.03482902 0.29463592 0.00000000
1.31581676 0.00000000 0.00000000 0.00000000 0.84816187 0.00000000 0.00000000 0.00000000 1.31581676
hat_spine.vtp hat_jaw.vtp hat_skull.vtp hat_ribs.vtp
1.16096720 0.92073725 1.00824757
-5.00000000 5.00000000
0.00000000
0.00000001
0.00000000
p_key
true
false
false
-1.00000000 2.00000000
0.93000000
0.00000001
0.00000000
q_key
true
false
false
-3.00000000 3.00000000
0.00000000
0.00000001
0.00000000
q_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
q_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
q_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
q_key
true
false
false
-2.09439510 2.09439510
0.00000000
0.00000001
0.00000000
h_key leftmouse_button
true
false
false
-2.09439510 2.09439510
0.00000000
0.00000001
0.00000000
h_key leftmouse_button
true
false
false
-2.09439510 2.09439510
0.00000000
0.00000001
0.00000000
h_key leftmouse_button
true
false
false
-2.09439510 0.17453293
0.00000000
0.00000001
0.00000000
k_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
a_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
a_key
true
true
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
t_key
true
true
false
-2.09439510 2.09439510
0.00000000
0.00000001
0.00000000
h_key leftmouse_button
true
false
false
-2.09439510 2.09439510
0.00000000
0.00000001
0.00000000
h_key leftmouse_button
true
false
false
-2.09439510 2.09439510
0.00000000
0.00000001
0.00000000
h_key leftmouse_button
true
false
false
-2.09439510 0.17453293
0.00000000
0.00000001
0.00000000
k_key
true
false
false
-1.04719755 1.04719755
0.00000000
0.00000001
0.00000000
a_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
a_key
true
true
false
-1.04719755 1.04719755
0.00000000
0.00000001
0.00000000
t_key
true
true
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
q_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
q_key
true
false
false
-1.57079633 1.57079633
0.00000000
0.00000001
0.00000000
q_key
true
false
false
0.00000000
pelvis_tx
0.00000000
pelvis_ty
0.00000000
pelvis_tz
0.00000000
pelvis_tilt
0.00000000
pelvis_list
0.00000000
pelvis_rotation
0.00000000
hip_flexion_r
0.00000000
hip_adduction_r
0.00000000
hip_rotation_r
0.00000000
knee_angle_r
0.00000000
ankle_angle_r
0.00000000
subtalar_angle_r
0.00000000
mtp_angle_r
0.00000000
hip_flexion_l
0.00000000
hip_adduction_l
0.00000000
hip_rotation_l
0.00000000
knee_angle_l
0.00000000
ankle_angle_l
0.00000000
subtalar_angle_l
0.00000000
mtp_angle_l
0.00000000
lumbar_extension
0.00000000
lumbar_bending
0.00000000
lumbar_rotation
ground pelvis
pelvis_tx
-360.00000000 360.00000000
-360.00000000 360.00000000
pelvis_ty
-360.00000000 360.00000000
-360.00000000 360.00000000
pelvis_tz
-360.00000000 360.00000000
-360.00000000 360.00000000
0.00000000 0.00000000 1.00000000
pelvis_tilt
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
pelvis_list
-6.28318531 6.28318531
-6.28318531 6.28318531
0.00000000 1.00000000 0.00000000
pelvis_rotation
-6.28318531 6.28318531
-6.28318531 6.28318531
pelvis femur_r
-0.07893438
-0.06817109
0.07900736
0.00000000 0.00000000 1.00000000
hip_flexion_r
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
hip_adduction_r
-6.28318531 6.28318531
-6.28318531 6.28318531
0.00000000 1.00000000 0.00000000
hip_rotation_r
-6.28318531 6.28318531
-6.28318531 6.28318531
femur_r tibia_r
knee_angle_r
-2.09439510 -1.74532925 -1.39626340 -1.04719755 -0.69813170 -0.34906585 -0.17453293 0.19734422 0.33739496 0.49017757 1.52146027 2.09439510
-0.00347531 0.00194400 0.00446360 0.00445274 0.00230239 -0.00108603 -0.00336670 -0.00567670 -0.00590259 -0.00605355 -0.00590259 -0.00570168
knee_angle_r
-2.09439510 -1.22173048 -0.52359878 -0.34906585 -0.17453293 0.15914856 2.09439510
-0.44547462 -0.43029517 -0.42059719 -0.41912141 -0.41806728 -0.41665896 -0.41743480
0.00000000
0.00000000 0.00000000 1.00000000
knee_angle_r
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
0.00000000
0.00000000 1.00000000 0.00000000
0.00000000
tibia_r talus_r
0.00000000
-0.48543113
0.00000000
-0.10501355 -0.17402245 0.97912632
ankle_angle_r
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
0.00000000
0.00000000 1.00000000 0.00000000
0.00000000
talus_r calcn_r
-0.04840422
-0.04735776
0.00718632
0.78717961 0.60474746 -0.12094949
subtalar_angle_r
-6.28318531 6.28318531
-6.28318531 6.28318531
0.00000000 1.00000000 0.00000000
0.00000000
0.00000000 0.00000000 1.00000000
0.00000000
calcn_r toes_r
0.19120085
-0.00209726
0.00108775
-0.58095440 0.00000000 0.81393611
mtp_angle_r
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
0.00000000
0.00000000 1.00000000 0.00000000
0.00000000
pelvis femur_l
-0.07893438
-0.06817109
-0.07900736
0.00000000 0.00000000 1.00000000
hip_flexion_l
-6.28318531 6.28318531
-6.28318531 6.28318531
-1.00000000 0.00000000 0.00000000
hip_adduction_l
-6.28318531 6.28318531
-6.28318531 6.28318531
0.00000000 -1.00000000 0.00000000
hip_rotation_l
-6.28318531 6.28318531
-6.28318531 6.28318531
femur_l tibia_l
knee_angle_l
-2.09439510 -1.74532925 -1.39626340 -1.04719755 -0.69813170 -0.34906585 -0.17453293 0.19734422 0.33739496 0.49017757 1.52146027 2.09439510
-0.00347531 0.00194400 0.00446360 0.00445274 0.00230239 -0.00108603 -0.00336670 -0.00567670 -0.00590259 -0.00605355 -0.00590259 -0.00570168
knee_angle_l
-2.09439510 -1.22173048 -0.52359878 -0.34906585 -0.17453293 0.15914856 2.09439510
-0.44547462 -0.43029517 -0.42059719 -0.41912141 -0.41806728 -0.41665896 -0.41743480
0.00000000
0.00000000 0.00000000 1.00000000
knee_angle_l
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
0.00000000
0.00000000 1.00000000 0.00000000
0.00000000
tibia_l talus_l
0.00000000
-0.48543113
0.00000000
0.10501355 -0.17402245 0.97912632
ankle_angle_l
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
0.00000000
0.00000000 1.00000000 0.00000000
0.00000000
talus_l calcn_l
-0.04840422
-0.04735776
-0.00718632
-0.78717961 -0.60474746 -0.12094949
subtalar_angle_l
-6.28318531 6.28318531
-6.28318531 6.28318531
0.00000000 1.00000000 0.00000000
0.00000000
0.00000000 0.00000000 1.00000000
0.00000000
calcn_l toes_l
0.19120085
-0.00209726
-0.00108775
0.58095440 0.00000000 0.81393611
mtp_angle_l
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
0.00000000
0.00000000 1.00000000 0.00000000
0.00000000
pelvis torso
-0.11242846
0.08405361
0.00000000
0.00000000 0.00000000 1.00000000
lumbar_extension
-6.28318531 6.28318531
-6.28318531 6.28318531
1.00000000 0.00000000 0.00000000
lumbar_bending
-6.28318531 6.28318531
-6.28318531 6.28318531
0.00000000 1.00000000 0.00000000
lumbar_rotation
-6.28318531 6.28318531
-6.28318531 6.28318531
torso
0.13015571 0.16304112 0.00166879
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
torso
0.04279787 0.33924172 0.00445359
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
torso
-0.09423519 0.37961857 0.00300742
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
torso
-0.03372238 0.35262453 0.17684329
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
torso
-0.03666102 0.35293312 -0.18549675
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
pelvis
0.00983783 0.00931958 0.12018901
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
pelvis
0.00850939 0.00939535 -0.11859979
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
pelvis
-0.16842834 0.03644810 0.02999398
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
pelvis
-0.17194684 0.03758002 -0.03158123
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_r
0.00299169 -0.41900777 0.05307223
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_r
-0.02299580 -0.42929582 -0.04881439
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_r
0.00744555 -0.10090077 0.11022516
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_r
-0.00757705 -0.24582786 0.09443894
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_r
0.08481214 -0.17159107 0.07644910
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_r
-0.00696522 -0.45776648 0.03498098
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_r
0.01854667 -0.43734883 -0.04080668
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_r
-0.00504342 -0.07821079 0.06959002
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_r
-0.00867119 -0.27148825 0.06524397
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_r
0.02868062 -0.18602152 0.01028524
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
calcn_r
-0.02451073 0.03103243 -0.01170043
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
calcn_r
0.15438136 0.01466426 0.07154801
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
calcn_r
0.19992202 0.04127184 0.01812011
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_l
0.00388678 -0.42065358 -0.06246578
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_l
-0.00866362 -0.43408831 0.04156682
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_l
0.02769768 -0.10888894 -0.10628517
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_l
0.04167159 -0.26166017 -0.08571599
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
femur_l
0.09794163 -0.18492375 -0.06050038
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_l
-0.00129954 -0.46500166 -0.03290763
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_l
0.01580701 -0.45144601 0.04498635
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_l
0.00715125 -0.10711118 -0.07698394
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_l
-0.00008349 -0.29731438 -0.06149102
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
tibia_l
0.04227196 -0.19327241 -0.02571266
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
calcn_l
-0.02405658 0.02710576 0.02087076
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
calcn_l
0.15954577 0.01449634 -0.06403769
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000
calcn_l
0.19904447 0.04362830 -0.01265146
false
4
false
false
DEFAULT
1.00000000 1.00000000 1.00000000