An analytical approach to the problem of inverse optimization with additive objective functions: An application to human prehension

Journal of Mathematical Biology

Volumn 61, Issue 3, 2010, Pages 423-453

  Terekhov, Alexander V ^a,b   Pesin, Yakov B ^a   Niu, Xun ^a   Latash, Mark L ^a   Zatsiorsky, Vladimir M ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

Human prehension; Inverse optimization; Principal component analysis; Uniqueness theorem

Indexed keywords

ARTICLE; FINGER; HAND STRENGTH; HUMAN; MOVEMENT (PHYSIOLOGY); PHYSIOLOGY; SKELETAL MUSCLE;

FINGERS; HAND STRENGTH; HUMANS; MOVEMENT; MUSCLE, SKELETAL;

EID: 77954035300     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-009-0306-3     Document Type: Article

References (35)

1. Ahuja RK, Orlin JB (2001) Inverse optimization. Oper Res 49(5): 771-783.
2. Ait-Haddou R, Binding P, Herzog W (2000) Theoretical considerations on cocontraction of sets of agonistic and antagonistic muscles. J Biomech 33(9): 1105-1111.
3. Anderson FC, Pandy MG (1999) A dynamic optimization solution for vertical jumping in three dimensions. Comput Methods Biomech Biomed Eng 2(3): 201-231.
4. Bernstein NA (1967) The coordination and regulation of movements. Pergamon, Oxford.
5. Biess A, Liebermann DG, Flash T (2007) A computational model for redundant human three-dimensional pointing movements: integration of independent spatial and temporal motor plans simplifies movement dynamics. J Neurosci 27(48): 13045-13064.
6. Bottasso CL, Prilutsky BI, Croce A, Imberti E, Sartirana S (2006) A numerical procedure for inferring from experimental data the optimization cost functions using a multibody model of the neuro-musculoskeletal system. Multibody Syst Dynam 16: 123-154.
7. Cole KJ, Johansson RS (1993) Friction at the digit-object interface scales the sensorimotor transformation for grip responses to pulling loads. Exp Brain Res 95(3): 523-532.
8. Collins JJ (1995) The redundant nature of locomotor optimization laws. J Biomech 28(3): 251-267.
9. Crowninshield RD, Brand RA (1981) A physiologically based criterion of muscle force prediction in locomotion. J Biomech 14(11): 793-801.
10. Cruse H, Wischmeyer E, Brwer M, Brockfeld P, Dress A (1990) On the cost functions for the control of the human arm movement. Biol Cybern 62(6): 519-528.
11. Edelman S, Flash T (1987) A model of handwriting. Biol Cybern 57(1-2): 25-36.
12. Engelbrecht S (2001) Minimum principles in motor control. J Math Psychol 45(3): 497-542.
13. Erdemir A, McLean S, Herzog W, van den Bogert AJ (2007) Model-based estimation of muscle forces exerted during movements. Clin Biomech (Bristol, Avon) 22(2): 131-154.
14. Flash T, Hogan N (1985) The coordination of arm movements: an experimentally confirmed mathematical model. J Neurosci 5(7): 1688-1703.
15. Herzog W (1992) Sensitivity of muscle force estimations to changes in muscle input parameters using nonlinear optimization approaches. J Biomech Eng 114(2): 267-268.
16. Herzog W, Binding P (1992) Predictions of antagonistic muscular activity using nonlinear optimization. Math Biosci 111(2): 217-229.
17. Johansson RS, Westling G (1984) Roles of glabrous skin receptors and sensorimotor memory in automatic control of precision grip when lifting rougher or more slippery objects. Exp Brain Res 56(3): 550-564.
18. Kuo AD, Zajac FE (1993) Human standing posture: multi-joint movement strategies based on biomechanical constraints. Prog Brain Res 97: 349-358.
19. Kuzelicki J, Zefran M, Burger H, Bajd T (2005) Synthesis of standing-up trajectories using dynamic optimization. Gait Posture 21(1): 1-11.
20. Niu X, Latash ML, Zatsiorsky VM (2007) Prehension synergies in the grasps with complex friction patterns: local versus synergic effects and the template control. J Neurophysiol 98(1): 16-28.
21. Pataky TC, Latash ML, Zatsiorsky VM (2004) Prehension synergies during nonvertical grasping, ii: modeling and optimization. Biol Cybern 91(4): 231-242.
22. Pham QC, Hicheur H, Arechavaleta G, Laumond JP, Berthoz A (2007) The formation of trajectories during goal-oriented locomotion in humans. ii. a maximum smoothness model. Eur J Neurosci 26(8): 2391-2403.
23. Plamondon R, Alimi AM, Yergeau P, Leclerc F (1993) Modelling velocity profiles of rapid movements: a comparative study. Biol Cybern 69(2): 119-128.
24. Prilutsky BI (2000) Coordination of two- and one-joint muscles: functional consequences and implications for motor control. Motor Control 4(1): 1-44.
25. Prilutsky BI, Gregory RJ (2000) Analysis of muscle coordination strategies in cycling. IEEE Trans Rehabil Eng 8(3): 362-370.
26. Prilutsky BI, Zatsiorsky VM (2002) Optimization-based models of muscle coordination. Exerc Sport Sci Rev 30(1): 32-38.
27. Raikova RT, Prilutsky BI (2001) Sensitivity of predicted muscle forces to parameters of the optimization-based human leg model revealed by analytical and numerical analyses. J Biomech 34(10): 1243-1255.
28. Redl C, Gfoehler M, Pandy MG (2007) Sensitivity of muscle force estimates to variations in muscle-tendon properties. Hum Mov Sci 26(2): 306-319.
29. Shim JK, Latash ML, Zatsiorsky VM (2003) Prehension synergies: trial-to-trial variability and hierarchical organization of stable performance. Exp Brain Res 152(2): 173-184.
30. Siemienski A (2006) Direct solution of the inverse optimization problem of load sharing between muscles. J Biomech 39: S45.
31. Tsirakos D, Baltzopoulos V, Bartlett R (1997) Inverse optimization: functional and physiological considerations related to the force-sharing problem. Crit Rev Biomed Eng 25(4-5): 371-407.
32. Westling G, Johansson RS (1984) Factors influencing the force control during precision grip. Exp Brain Res 53(2): 277-284.
33. Zatsiorsky VM, Latash ML (2008) Multifinger prehension: an overview. J Mot Behav 40(5): 446-476.
34. Zatsiorsky VM, Gregory RW, Latash ML (2002) Force and torque production in static multifinger prehension: biomechanics and control. ii. control. Biol Cybern 87(1): 40-49.
35. Zatsiorsky VM, Gao F, Latash ML (2003) Prehension synergies: effects of object geometry and prescribed torques. Exp Brain Res 148(1): 77-87.