Matrix factorization algorithms for the identification of muscle synergies: Evaluation on simulated and experimental data sets

Journal of Neurophysiology

Volumn 95, Issue 4, 2006, Pages 2199-2212

  Tresch, Matthew C ^a,d   Cheung, Vincent C K ^b   D'Avella, Andrea ^c  

^a NORTHWESTERN UNIVERSITY   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^c IRCCS FONDAZIONE SANTA LUCIA   (Italy)

^d NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; COMPARATIVE STUDY; CORRELATION COEFFICIENT; DATA ANALYSIS; FACTORIAL ANALYSIS; INDEPENDENT COMPONENT ANALYSIS; MATHEMATICAL COMPUTING; MUSCLE CONTRACTION; NORMAL DISTRIBUTION; PRINCIPAL COMPONENT ANALYSIS; PRIORITY JOURNAL; PROBABILITY; VARIMAX ROTATION;

ALGORITHMS; ANIMALS; ANURA; BEHAVIOR, ANIMAL; COMPUTER SIMULATION; FACTOR ANALYSIS, STATISTICAL; MUSCLE CONTRACTION; MUSCLE, SKELETAL; NORMAL DISTRIBUTION;

EID: 33646196851     PISSN: 00223077     EISSN: None     Source Type: Journal    
DOI: 10.1152/jn.00222.2005     Document Type: Article

References (53)

1. Akaike H. Factor analysis and AIC. Psychometrika 52: 317-332, 1987.
2. Attias H. Independent factor analysis. Neural Comput 11: 803-851, 1999.
3. Baddeley R, Abbott LF, Booth MC, Sengpiel F, Freeman T, Wakeman EA, and Rolls ET. Responses of neurons in primary and inferior temporal visual cortices to natural scenes. Proc R Soc Lond B Biol Sci 264: 1775-1783, 1997.
4. Basilevsky A. Statistical Factor Analysis and Related Methods: Theory and Applications. New York: Wiley, 1994.
5. Bell AJ and Sejnowski TJ. An information-maximization approach to blind separation and blind deconvolution. Neural Comput 7: 1129-1159, 1995.
6. Bell AJ and Sejnowski TJ. The "independent components" of natural scenes are edge filters. Vision Res 37: 3327-3338, 1997.
7. Cheung VCK, d'Avella A, Tresch MC, and Bizzi E. Central and sensory contributions to the activation and organization of muscle synergies during natural motor behaviors. J Neurosci 25: 6419-6434, 2005.
8. d'Avella A and Bizzi E. Shared and specific muscle synergies in natural motor behaviors. Proc Natl Acad Sci USA 102: 3076-3081, 2005.
9. d'Avella A, Saltiel P, and Bizzi E. Combinations of muscle synergies in the construction of a natural motor behavior. Nat Neurosci 6: 300-308, 2003.
10. Dayan P and Abbott L. Theoretical Neuroscience. Cambridge, MA: MIT Press, 2001.
11. Donoho D and Stodden V. When does non-negative matrix factorization give a correct decomposition into parts? Adv Neural Inform Process Syst 16: 1141-1148, 2004.
12. Golub GH and van Loan CF. Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1983.
13. Hansen LK, Larsen J, and Kolenda T. Blind detection of independent dynamic components. Proc IEEE Int Conf on Acoustics, Speech, and Signal Processing, 2001, p. 3187-3200.
14. Hart CB and Giszter SF. Modular premotor drives and unit bursts as primitives for frog motor behaviors. J Neurosci 24: 5269-5282, 2004.
15. Højen-Sørensen PA, Winther O, and Hansen LK. Mean-field approaches to independent component analysis. Neural Comput 14: 889-918, 2002.
16. Hubel DH and Wiesel TN. Receptive fields of single neurons in the cat's striate cortex. J Physiol 148: 574-591, 1959.
17. Hyvärinen A and Oja E. Independent component analysis: algorithms and applications. Neural Networks 13: 411-430, 2000.
18. Ivanenko YP, Cappellini G, Dominici N, Poppele RE, and Lacquaniti F. Coordination of locomotion with voluntary movements in humans. J Neurosci 25: 7238-7253, 2005.
19. Ivanenko YP, Grasso R, Zago M, Molinari M, Scivoletto G, Castellano V, Macellari V, and Lacquaniti F. Temporal components of the motor patterns expressed by the human spinal cord reflect foot kinematics. J Neurophysiol 90: 3555-3565, 2003.
20. Ivanenko YP, Poppele RE, and Lacquaniti F. Five basic muscle activation patterns account for muscle activity during human locomotion. J Physiol 556: 267-282, 2004.
21. Jacobs R and Macpherson JM. Two functional muscle groupings during postural equilibrium tasks in standing cats. J Neurophysiol 76: 2402-2411, 1996.
22. Jordan L. Brainstem and spinal cord mechanisms for the initiation of locomotion. In: Neurological Basis of Human Locomotion, edited by Shimamura M, Grillner S, and Edgerton VR. Tokyo: Japan Scientific Societies Press, 1991, p. 3-20.
23. Kargo WJ and Nitz DA. Early skill learning is expressed through selection and tuning of cortically represented muscle synergies. J Neurosci 23: 11255-11269, 2003.
24. Kolenda T, Sigurdsson S, Winther O, Hansen LK, and Larsen J. DTU: Toolbox. Lyngby, Denmark: ISP Group at Institute of Informatics and Mathematical Modelling at the Technical University of Denmark, 2002.
25. Krishnamoorthy V, Goodman S, Zatsiorsky V, and Latash ML. Muscle synergies during shifts of the center of pressure by standing persons: identification of muscle modes. Biol Cybern 89: 152-161, 2003.
26. Lee DD and Seung HS. Learning the parts of objects by non-negative matrix factorization. Nature 401: 788-791, 1999.
27. Lee DD and Seung HS. Algorithms for non-negative matrix factorization. Adv Neural Inform Proc Syst 13: 556-562, 2001.
28. Lee WA. Neuromotor synergies as a basis for coordinated intentional action. J Mot Behav 16: 135-170, 1984.
29. Macpherson JM. How flexible are muscle synergies? In: Motor Control: Concepts and Issues, edited by Humphrey DR and Freund H-J. London: Wiley Ltd, 1991, p. 33-47.
30. Makeig S, Bell AJ, Jung T-P, and Sejnowski TJ. Independent component analysis of electroencephalographic data. In: Advances in Neural Information Processing Systems, edited by Touretzky D, Mozer M, and Hasselmo M. Cambridge, MA: MIT Press, 1996, vol. 8, p. 145-151.
31. Makeig S, Jung T-P, Bell AJ, Ghahremani D, and Sejnowski T. Blind separation of auditory event related brain responses into independent components. Proc Natl Acad Sci USA 94: 10979-10984, 1997.
32. Merkle LA, Layne CS, Bloomberg JJ, and Zhang JJ. Using factor analysis to identify neuromuscular synergies during treadmill walking. J Neurosci Methods 82: 207-214, 1998.
33. Minka T. Automatic choice of dimensionality for PCA. In: M.I.T. Media Laboratory Perceptual Computing Section Technical Report. Cambridge, MA: MIT Press, 2000.
34. Oja E and Plumbley M. Blind separation of positive sources by globally convergent gradient search. Neural Comput 16: 1811-1825, 2004.
35. Olree KS and Vaughan CL. Fundamental patterns of bilateral muscle activity in human locomotion. Biol Cybern 73: 409-414, 1995.
36. Olshausen B and Field D. Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381: 607-609, 1996.
37. Patla AE. Some characteristics of EMG patterns during locomotion: implications for the locomotor control process. J Mot Behav 17: 443-461, 1985.
38. Roweis S and Ghahramani Z. A unifying review of linear Gaussian models. Neural Comput 11: 305-345, 1999.
39. Sabatini AM Identification of neuromuscular synergies in natural upper-arm movements. Biol Cybern 86: 253-262, 2002.
40. Saltiel P, Wyler-Duda K, d'Avella A, Tresch MC, and Bizzi E. Muscle synergies encoded within the spinal cord: evidence from focal intraspinal NMDA iontophoresis in the frog. J Neurophysiol 85: 605-619, 2001.
41. Schmidt RA, Zelaznik H, Hawkins B, Frank JS, and Quinn JT Jr. Motor-output variability: a theory for the accuracy of rapid motor acts. Psychol Rev 47: 415-451, 1979.
42. Soechting JF and Lacquaniti F. An assessment of the existence of muscle synergies during load perturbations and intentional movements of the human arm. Exp Brain Res 74: 535-548, 1989.
43. Sutton GG and Sykes K. The variation of hand tremor with force in healthy subjects. J Physiol 191: 699-711, 1967.
44. Ting LH and Macpherson JM. A limited set of muscle synergies for force control during a postural task. J Neurophysiol 93: 609-613, 2005.
45. Tipping ME and Bishop CM. Probabilistic principal component analysis. In: Neural Computing Research Group. Birmingham, UK: Aston University, 1997.
46. Todorov E and Ghahramani Z. Unsupervised learning of sensory-motor primitives. Proc IEEE Eng Med Biol Soc, 2003, p. 1750-1753.
47. Tresch MC, Cheung VCK, and d'Avella A. Comparisons between synergy extraction algorithms. Soc Neurosci Abstr 30, 2004.
48. Tresch MC, Saltiel P, and Bizzi E. The construction of movement by the spinal cord. Nat Neurosci 2: 162-167, 1999.
49. Tresch MC, Saltiel P, d'Avella A, and Bizzi E. Coordination and localization in spinal motor systems. Brain Res Brain Res Rev 40: 66-79, 2002.
50. van Beers RJ, Haggard P, and Wolpert DM. The role of execution noise in movement variability. J Neurophysiol 91: 1050-1063, 2004.
51. Vinje WE and Gallant JL. Sparse coding and decorrelation in primary visual cortex during natural vision. Science 287: 1273-1276, 2000.
52. Weiss EJ and Flanders M. Muscular and postural synergies of the human hand. J Neurophysiol 92: 523-535, 2004.
53. Zucchini W. An introduction to model selection. J Math Psychol 44: 41-61, 2000.