Time scale hierarchies in the functional organization of complex behaviors

PLoS Computational Biology

Volumn 7, Issue 9, 2011, Pages

  Perdikis, Dionysios ^a   Huys, Raoul ^a   Jirsa, Viktor K ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARCHITECTURE; BEHAVIORAL RESEARCH; PHASE SPACE METHODS; TIME MEASUREMENT;

ATTRACTOR DYNAMICS; COGNITIVE MODEL; DISCRETE STATE; ENTRY POINT; FUNCTIONAL ARCHITECTURE; FUNCTIONAL ORGANIZATION; STATE POINTS; TEMPORAL DIMENSIONS; TIME-SCALES; TRADITIONAL APPROACHES;

DYNAMICS;

ARTICLE; BEHAVIOR; COGNITION; COMPLEX BEHAVIOR; DYNAMICS; EXPERIENCE; FEEDBACK SYSTEM; HANDWRITING; MATHEMATICAL MODEL; MODEL; SIGNAL TRANSDUCTION; TIME; TIME SCALE HIERARCHY; BIOLOGICAL MODEL; BIOLOGY; COMPUTER SIMULATION; HUMAN; LEARNING; PHYSIOLOGY; SENSORY FEEDBACK;

BEHAVIOR; COGNITION; COMPUTATIONAL BIOLOGY; COMPUTER SIMULATION; FEEDBACK, SENSORY; HANDWRITING; HUMANS; LEARNING; MODELS, BIOLOGICAL; MODELS, NEUROLOGICAL; TIME FACTORS;

EID: 80053456319     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1002198     Document Type: Article

References (119)

1. Maturana HR, Varela FJ, (1980) Autopoiesis and Cognition: The Realization of the Living (Boston Studies in the Philosophy of Science, Vol. 42). D. Reidel Publishing Company.
2. Maturana HR, Varela FJ, (1998) The tree of knowledge: the biological roots of human understanding. Boston & London Shambhala.
3. Mussa-Ivaldi FA, Giszter SF, Bizzi E, (1994) Linear combinations of primitives in vertebrate motor control. Proc Natl Acad Sci U S A 91: 7534-7538.
4. Mussa-Ivaldi FA, Bizzi E, (2000) Motor learning through the combination of primitives. Philos Trans R Soc B 355: 1755-1769 Available:http://www.ncbi.nlm.nih.gov/pubmed/11205339.
5. Flash T, Hochner B, (2005) Motor primitives in vertebrates and invertebrates. Curr Opin Neurobiol 15: 600-666 Available:http://www.ncbi.nlm.nih.gov/pubmed/16275056.
6. Bizzi E, Cheung VCK, d'Avella A, Saltiel P, Tresch M, (2008) Combining modules for movement. Brain Res Rev 57: 125-133.
7. Schmidt RA, (1975) A schema theory of discrete motor skill learning. Psychol Rev 82: 225-260.
8. Schmidt RA, Lee TD, (2005) Motor control and learning: A behavioral emphasis. Human Kinetics Champaign IL.
9. Yu AC, Margoliash D, (1996) Temporal hierarchical control of singing in birds. Science 273: 1871-1875.
10. Friston K, Kiebel S, (2009) Predictive coding under the free-energy principle. Philos Trans R Soc B 364: 1211-21 Available:http://rstb.royalsocietypublishing.org/cgi/content/abstract/364/1521/1211.
11. Poeppel D, Idsardi WJ, van WassenhoveV, (2008) Speech perception at the interface of neurobiology and linguistics. Philos Trans R Soc B 363: 1071-86 Available:http://rstb.royalsocietypublishing.org/cgi/content/abstract/363/1493/1071.
12. Liberman AM, Whalen DH, (2000) On the relation of speech to language Trends Cogn Sci 4: 187-196 Available:http://dx.doi.org/10.1016/S1364-6613(00)01471-6.
13. Jackendoff R, (2003) Foundations of language: brain, meaning, grammar, evolution. Oxford University Press.
14. Feldman JA, (2006) From molecule to metaphor: a neural theory of language. MIT Press.
15. Lakoff G, (1993) The contemporary theory of metaphor. Metaphor and thought.
16. Lakoff G, Nuñez R, (2001) Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being. Basic Books.
17. Newel A, (1990) Unified theories of cognition. Cambridge Harvard University Press.
18. Rumelhart DE, McClelland JL, Group the PR (1987) Parallel Distributed Processing, Vol. 1 Foundations. The MIT Press.
19. Bechtel W, Abrahamsen A, (2002) Connectionism and the Mind: Parallel Processing, Dynamics, and Evolution in Networks. Wiley-Blackwell.
20. Kremer SC, (2006) Spatiotemporal Connectionist Networks: A Taxonomy and Review. 13: 249-306 Available:http://www.mitpressjournals.org/doi/abs/10.1162/089976601300014538.
21. Sun R, Alexandre F, eds. (1997) Connectionist-Symbolic Integration: From Unified to Hybrid Approaches. Psychology Press.
22. Carpenter GA, Grossberg S, (2003) Adaptive resonance theory. In: Arbib M, editors. The handbook of brain theory and neural networks Cambridge The MIT Press pp. 87-90.
23. Kremer SC, (1995) On the computational power of Elman-style recurrent networks. IEEE T Neural Networ 6: 1000-4 doi:10.1109/72.392262.
24. Kolen JF, Kremer SC, eds. (2001) A Field Guide to Dynamical Recurrent Networks. Wiley-IEEE Press.
25. Maass W, Natschlager T, Markram H, (2002) Real-time computing without stable states: A new framework for neural computation based on perturbations. Neural Comput 14: 2531-2560 Available:http://www.mitpressjournals.org/doi/abs/10.1162/089976602760407955.
26. Perdikis D, Huys R, Jirsa V, (2011) Complex Processes from Dynamical Architectures with Time-Scale Hierarchy. PLoS ONE 6 Available:http://dx.plos.org/10.1371/journal.pone.0016589.
27. Grossberg S, (1980) Biological Competition: Decision Rules, Pattern Formation, and Oscillations. Proc Natl Acad Sci U S A 77: 2338-2342 Available:http://www.pnas.org/cgi/content/abstract/77/4/2338.
28. Haken H, (2004) Synergetic computers and cognition: A top-down approach to neural nets. Springer Verlag.
29. Song J-H, Nakayama K, (2009) Hidden cognitive states revealed in choice reaching tasks. Trends Cogn Sci 13: 360-366 doi:10.1016/j.tics.2009.04.009.
30. Kelso JAS, (1995) Dynamic Patterns: The Self-Organization of Brain and Behavior. The MIT Press.
31. Kelso JAS, Jirsa VK, eds. (2004) Coordination dynamics: issues and trends. Berlin, Heidelberg Springer-Verlag.
32. Haken H, (1983) Synergetics. An Introduction:Nonequilibrium Phase Transitions and Self Organization in Physics, Chemistry and Biology Springer.
33. Ditzinger T, Haken H, (1989) Oscillations in the perception of ambiguous patterns a model based on synergetics. Biological Cybernetics 61 Available:http://www.springerlink.com/content/nk2276642u7u8086/.
34. Ditzinger T, Haken H, (1990) The impact of fluctuations on the recognition of ambiguous patterns. Biol Cybern 63: 453-456 Available:http://www.springerlink.com/content/w461231618728272/.
35. Haken H, Kelso JAS, Bunz H, (1985) A theoretical model of phase transitions in human hand movements. Biol Cybern 51: 347-356 Available:http://www.springerlink.com/index/P41423752378G6G5.pdf.
36. Kelso J, (1984) Phase transitions and critical behavior in human bimanual coordination. Am J Physiol 246: R1000-R1004.
37. Jirsa VK, Fuchs A, Kelso JAS, (1998) Connecting cortical and behavioral dynamics: bimanual coordination. Neural Comput 10 Available:http://www.mitpressjournals.org/doi/abs/10.1162/089976698300016954.
38. Wallenstein G, Kelso J, Bressler SL, (1995) Phase transitions in spatiotemporal patterns of brain activity and behavior Physica D 84: 626-634 Available:http://dx.doi.org/10.1016/0167-2789(95)00056-A.
39. Tognoli E, Lagarde J, DeGuzman GC, Kelso JAS, (2007) The phi complex as a neuromarker of human social coordination. Proc Natl Acad Sci U S A 104: 8190-5 Available:http://www.pnas.org/cgi/content/abstract/104/19/8190.
40. Zanone P-G, Kelso JAS, (1994) The coordination dynamics of learning: Theoretical structure and experimental agenda. In: Swinnen S, Heuer H, Massion J, Casaer P, editors. Interlimb Coordination: Neural Dynamical and Cognitive Constraints San Diego Academic Press pp. 461-490.
41. Pillai AS, (2008) Structured flows on manifolds: Distributed functional architectures Boca Raton FL Florida Atlantic University.
42. Jirsa V, Mersmann J, (2009) Neuronal network structure and method to operate a neuronal network structure. International Patent Application: WO 2009/037526 A1.
43. Strogatz SH, (2001) Nonlinear Dynamics And Chaos: With Applications To Physics, Biology, Chemistry, And Engineering (Studies in Nonlinearity). Westview Press.
44. Petitot J, (1995) Morphodynamics and attractor syntax: constituency in visual perception and cognitive grammar. In: Port RF, van TGelde, editors. Mind as motion: explorations in the dynamics of cognition The MIT Press pp. 227-281.
45. Jirsa VK, Kelso JAS, (2005) The excitator as a minimal model for the coordination dynamics of discrete and rhythmic movement generation. J Motor Behav 37: 35-51.
46. Fink PW, Kelso JAS, Jirsa VK, (2009) Perturbation-induced false starts as a test of the Jirsa-Kelso Excitator model. J Motor Behav 41: 147-157.
47. Huys R, Fernandez L, Bootsma RJ, Jirsa VK, (2010) Fitts' law is not continuous in reciprocal aiming. Proc R Soc B 277: 1179-1184.
48. Huys R, Studenka BE, Rheaume NL, Zelaznik HN, Jirsa VK, (2008) Distinct timing mechanisms produce discrete and continuous movements. PloS Comput Biol 4: e1000061. doi:ARTN e1000061 DOI 10.1371/journal.pcbi.1000061.
49. Kiebel SJ, Daunizeau J, Friston KJ, (2008) A hierarchy of time-scales and the brain. PLoS Comput Bioldoi 4: e1000209 doi:ARTN e1000209 DOI 10.1371/journal.pcbi.1000209.
50. Kiebel SJ, Daunizeau J, Friston KJ, (2009) Perception and hierarchical dynamics. FNINF 3 Available:http://www.ncbi.nlm.nih.gov/pmc/articles/PMC2718783/.
51. Kiebel SJ, von KriegsteinK, Daunizeau J, Friston KJ, (2009) Recognizing sequences of sequences. PLoS Comput Biol 5: e1000464 Available:http://dx.plos.org/10.1371/journal.pcbi.1000464.
52. Rabinovich MI, Huerta R, (2008) Transient cognitive dynamics, metastability, and decision making. PLoS Comput Biol 4 Available:http://dx.plos.org/10.1371/journal.pcbi.1000072.
53. Rabinovich MI, Muezzinoglu MK, Strigo I, Bystritsky A, (2010) Dynamical principles of emotion-cognition interaction: mathematical images of mental disorders. PLoS ONE 5 Available:http://dx.plos.org/10.1371/journal.pone.0012547.
54. Sternberg S, Monsell S, Knoll RL, Wright CE, (1978) The latency and duration of rapid movement sequences: Comparisons of speech and typewriting. Information processing in motor control and learning pp. 117-152 Available:http://www.psych.upenn.edu/~saul/lat.dur.pdf.
55. Rhodes BJ, Bullock D, Verwey WB, Averbeck BB, Page M, (2004) Learning and production of movement sequences: behavioral, neurophysiological, and modeling perspectives. Hum Movement Sci 23: 699-746.
56. Van Galen GP, Meulenbroek R, Hylkema H, (1986) On the simultaneous processing of words, letters and strokes in handwriting: evidence for a mixed linear and parallel model. Graphonomics: Contemporary research in handwriting pp. 5-20.
57. van GalenG, (1991) Handwriting: Issues for a psychomotor theory. Hum Movement Sci 10: 165-191 vailable:http://dx.doi.org/10.1016/0167-9457(91)90003-G.
58. Teulings H-L, Thomassen AJWM, J MF, (1989) A description of handwriting in terms of main axes. In: Plamondon R, Suen CY, L SM, editors. Computer recognition and human production of handwriting Singapore World Scientific Publishing pp. 193-211.
59. Thomassen AJWM, Meulenbroek RGJ, (1998) Low-frequency periodicity in the coordination of progressive handwriting. Acta Psychol 100: 133-144 Available:http://dx.doi.org/10.1016/S0001-6918(98)00030-4.
60. Grossberg S, (1978) A theory of human memory: Self-organization and performance of sensory-motor codes, maps, and plans. Prog T Biol 5: 233-374.
61. Houghton G, (1990) The problem of serial order: A neural network model of sequence learning and recall. Current research in natural language generation Academic Press Professional, Inc pp. 287-319.
62. Page MPA, Norris D, (1998) The primacy model: A new model of immediate serial recall. Psychol Rev 105: 761-781.
63. Bullock D, Rhodes BJ, (2003) Competitive queuing for planning and serial performance. In: Arbib M, editors. Handbook of brain theory and neural networks Cambridge, MA The MIT Press pp. 241-244.
64. Bullock D, Grossberg S, Mannes C, (1993) A neural-network model for cursive script production. 70: 15-28.
65. Wolpert DM, Ghahramani Z, Flanagan JR, (2001) Perspectives and problems in motor learning Trends Cogn Sci 5: 487-494 Available:http://www.ncbi.nlm.nih.gov/pubmed/11684481.
66. Wolpert DM, Doya K, Kawato M, (2003) A unifying computational framework for motor control and social interaction. Philos Trans R Soc B 358: 593-602.
67. Kandel S, Alvarez CJ, Vallée N, (2006) Syllables as processing units in handwriting production. J Exp Psychol Human 32: 18-31 Available:http://dx.doi.org/10.1037/0096-1523.32.1.18.
68. Kandel S, Hérault L, Grosjacques G, Lambert E, Fayol M, Orthographic vs. phonologic syllables in handwriting production. Cognition 110: 440-4 Available:http://dx.doi.org/10.1016/j.cognition.2008.12.001.
69. Lambert E, Kandel S, Fayol M, Espéret E, (2007) The effect of the number of syllables on handwriting production. Read Writ 21: 859-883 Available:http://www.springerlink.com/content/07k207945717x833/.
70. Kandel S, Soler O, Valdois S, Gros C, (2006) Graphemes as Motor Units in the Acquisition of Writing Skills. Read Wri 19: 313-337 Available:http://www.springerlink.com/content/e59x204xp14u4842/.
71. Tainturier M, Rapp B, (2004) Complex graphemes as functional spelling units: Evidence from acquired dysgraphia. Neurocase 10: 122-131.
72. Teulings H-L, Thomassen AJWM, Galen GP van, (1983) Preparation of partly precued handwriting movements: The size of movement units in handwriting. Acta Psychol 54: 165-177 Available:http://dx.doi.org/10.1016/0001-6918(83)90031-8.
73. Hulstijn W, van GalenGP, (1983) Programming in handwriting: Reaction time and movement time as a function of sequence length. Acta Psychol 54: 23-49 Available:http://dx.doi.org/10.1016/0001-6918(83)90021-5.
74. Teulings H, Mullins P, Stelmach G, (1986) The elementary units of programming in handwriting. Graphonomics: contemporary research in handwriting Elsevier Science Ltd pp. 21-32.
75. Woodman M, Perdikis D, Pillai AS, Dodel S, Huys R, et al. (2011) Building neurocognitive networks with a distributed functional architecture. Adv Exp Med Biol 718: 101-9 Available:http://www.springerlink.com/content/m1070j7t70221331/.
76. Jirsa VK, Huys AS, Pillai R, Perdikis D, Woodman M, Connectivity and dynamics of neural information processing. In: Rabinovich MI, editors.
77. Guckenheimer J, Holmes P, (2002) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. New York, NY Springer-Verlag.
78. Constantin P, Foias C, Nicolaenko B, Teman R, (1989) Intergral manifolds and inertial manifolds for dissipative partial differential equations. New York, NY Springer-Verlag.
79. Hairer E, Nørsett S, Wanner G, (1993) Solving Ordinary Differential Equations I: Nonstiff problems.2nd ed.Berlin Springer-Verlag.
80. GNU Scientific Library (n.d.). Available:http://www.gnu.org/software/gsl/.
81. Viviani P, Schneider R, (1991) A developmental study of the relationship between geometry and kinematics in drawing movements. J Exp Psychol 17: 198-218.
82. van MourikAM, Daffertshofer A, Beek PJ, (2006) Estimating Kramers-Moyal coefficients in short and non-stationary data sets. Phys Lett A 351: 13-17 Available:http://dx.doi.org/10.1016/j.physleta.2005.10.066.
83. Daffertshofer A, (2010) Benefits and Pitfalls in Analyzing Noise in Dynamical Systems - On Stochastic Differential Equations and System Identification. In: Huys R, Jirsa VK, editors. Nonlinear Dynamics in Human Behavior Berlin Heidelberg Springer-Verlag pp. 35-68.
84. Ashwin P, Field M, Rucklidge AM, Sturman R, (2003) Phase resetting effects for robust cycles between chaotic sets. Chaos 13: 973-81 Available:http://www.ncbi.nlm.nih.gov/pubmed/12946190.
85. Ashwin P, Orosz G, Wordsworth J, Townley S, (2007) Dynamics on Networks of Cluster States for Globally Coupled Phase Oscillators. SIAM J Appl Dyn Syst 6: 728 Available:http://link.aip.org/link/SJADAY/v6/i4/p728/s1&Agg=doi.
86. Freeman WJ, (2001) How Brains Make Up Their Minds. Columbia University Press.
87. Kozma R, Freeman WJ, (2009) The KIV model of intentional dynamics and decision making. Neural Networks 22: 277-285.
88. Friston K, (2008) Hierarchical models in the brain. PLoS Comput Biol 4 Available:http://dx.plos.org/10.1371/journal.pcbi.1000211.
89. Friston KJ, Daunizeau J, Kilner J, Kiebel SJ, (2010) Action and behavior: a free-energy formulation. Biol Cybern 102: 227-60 Available:http://www.ncbi.nlm.nih.gov/pubmed/20148260.
90. Friston K, The free-energy principle: a unified brain theory? Nat Rev Neurosci 11: 127-38 Available:http://dx.doi.org/10.1038/nrn2787.
91. Verwey W, (2001) Concatenating familiar movement sequences: the versatile cognitive processor. Acta Psychol 106: 69-95 Available:http://dx.doi.org/10.1016/S0001-6918(00)00027-5.
92. Verwey WB, Abrahamse EL, de KleineE, (2010) Cognitive processing in new and practiced discrete keying sequences. FPSYG 2 Available:http://www.frontiersin.org/Journal/Abstract.aspx?f=69&name=psychology&ART_DOI=10.3389/fpsyg.2010.00032.
93. Thomassen AJWM, Schomaker LRB, (1986) Between-letter Context Effects in Handwriting Trajectories. In: Kao HSR, van GalenGP, Hoosain R, editors. Graphonomics: Contemporary research in handwriting Amsterdam North Holland pp. 253-272.
94. Rhodes BJ, Bullock D, (2010) Neural dynamics of learning and performance of fixed sequences: Latency pattern reorganizations and the N-STREAMS model. Boston, MA.
95. Huerta R, Rabinovich MI, (2004) Reproducible sequence generation in random neural ensembles. Phys Rev Lett 93: 238104-4.
96. Rabinovich MI, Varona P, Selverston AI, Abarbanel HDI, (2006) Dynamical principles in neuroscience. Rev Mod Phys 78: 1213-1265.
97. Ijspeert AJ, (2008) Central pattern generators for locomotion control in animals and robots: a review. Neural Netw 21: 642-53 Available:http://dx.doi.org/10.1016/j.neunet.2008.03.014.
98. Palva JM, Palva S, Kaila K, (2005) Phase synchrony among neuronal oscillations in the human cortex. J Neurosci 25: 3962-3972 doi:10.1523/JNEUROSCI.4250-04.2005.
99. Huys R, Studenka BE, Zelaznik HN, Jirsa VK, (2010) Distinct timing mechanisms are implicated in distinct circle drawing tasks. Neurosci Lett 472: 24-28 doi:DOI 10.1016/j.neulet.2010.01.047.
100. Wing AM, Kristofferson AB, (1973) The timing of interresponse intervals. Percept Psycho 13: 455-460.
101. Wing AM, Kristofferson AB, (1973) Response delays and the timing of discrete motor responses. Percept Psycho 14: 5-12.
102. Coull JT, Nobre AC, (2008) Dissociating explicit timing from temporal expectation with fMRI. Curr Opin Neurobiol 18: 137-144.
103. Ivry RB, Spencer RMC, Zelaznik HN, Diedrichsen J, (2002) The cerebellum and event timing. Annals NY Acad Sci 978: 302-317.
104. Spencer RMC, Zelaznik HN, Diedrichsen J, Ivry RB, (2003) Disrupted timing of discontinuous but not continuous movements by cerebellar lesions. Science 300: 1437-1439.
105. Ivry RB, Spencer RMC, (2004) The neural representation of time. Curr Opin Neurobiol 14: 225-232 doi:DOI 10.1016/j.conb.2004.03.013.
106. Ashby R, Conant R, (1970) Every good regulator of a system must be a model of that system. Int J Syst Sci 1: 89-97.
107. Huys R, L S, M B, VK J, (2010) Movement and brain dynamics: a dynamic isomorphism? 11th European Workshop on Ecological Psychology.
108. Jirsa VK, Friedrich R, Haken H, Kelso JAS, (1994) A theoretical model of phase transitions in the human brain. Biol Cybern 71: 27-35 Available:http://www.springerlink.com/content/t145816076445217/.
109. Fuchs A, Jirsa VK, Kelso JAS, (2000) Theory of the relation between human brain activity (MEG) and hand movements. Neuroimage 11: 359-69 Available:http://dx.doi.org/10.1006/nimg.1999.0532.
110. Bressler SL, Kelso JAS, (2011) Cortical coordination dynamics and cognition. Trends Cogn Sci 5: 26-36 Available:http://dx.doi.org/10.1016/S1364-6613(00)01564-3.
111. Kelso JAS, Fuchs A, Lancaster R, Cheyne D, Weinberg H, (1998) Dynamic cortical activity in the human brain reveals motor equivalence. Nature 392: 814-818.
112. Bach-y-Rita P, Kercel SW, (2003) Sensory substitution and the human-machine interface. Trends Cogn Sci 7: 541-546 Available:http://dx.doi.org/10.1016/j.tics.2003.10.013.
113. Amedi A, Stern WM, Camprodon JA, Bermpohl F, Merabet L, et al. (2007) Shape conveyed by visual-to-auditory sensory substitution activates the lateral occipital complex. Nat Neurosci 10: 687-9 Available:http://dx.doi.org/10.1038/nn1912.
114. Lakoff G, (1987) Women, fire, and dangerous things: What categories reveal about the mind. Chicago, IL University of Chicago Press.
115. Thom R, (1994) Structural Stability And Morphogenesis (Advanced Books Classics). Westview Press.
116. Jacobs D, Silva P, Calvo J, (2009) An Empirical Illustration and Formalization of the Theory of Direct Learning: The Muscle-Based Perception of Kinetic Properties. Ecol Psychol 21: 245-289 doi:10.1080/10407410903058302.
117. Paine RW, Tani J, (2005) How Hierarchical Control Self-organizes in Artificial Adaptive Systems. Adapt Behav 13: 211-225 Available:http://adb.sagepub.com/cgi/content/abstract/13/3/211.
118. Yamashita Y, Tani J, (2008) Emergence of functional hierarchy in a multiple timescale neural network model: a humanoid robot experiment. PLoS Comput Biol 4 Available:http://dx.plos.org/10.1371/journal.pcbi.1000220.
119. Sarpeshkar R, (2010) Ultra Low Power Bioelectronics: Fundamentals, Biomedical Applications, and Bio-Inspired Systems. Cambridge University Press.