Neural networks for beat perception in musical rhythm

Frontiers in Systems Neuroscience

Volumn 9, Issue November, 2015, Pages

  Large, Edward W ^a   Herrera, Jorge A ^b   Velasco, Marc J ^c  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b STANFORD UNIVERSITY   (United States)

^c FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

Beat perception; Dynamical systems; Musical rhythm; Neural networks; Neural resonance

Indexed keywords

COORDINATION; FAMILY; HUMAN; MODEL; NERVOUS SYSTEM; OSCILLATION; PERCEPTION; PREDICTION; RHYTHM; THEORETICAL MODEL;

EID: 84948743397     PISSN: 16625137     EISSN: None     Source Type: Journal    
DOI: 10.3389/fnsys.2015.00159     Document Type: Article

References (106)

1. Ainsworth, M., Lee, S., Cunningham, M. O., Traub, R. D., Kopell, N. J., and Whittington, M. A. (2012). Rates and rhythms: a synergistic view of frequency and temporal coding in neuronal networks. Neuron 75, 583. doi: 10.1016/j.neuron.2012.08.004
2. Aronson, D. G., Ermentrout, G. B., and Kopell, N. (1990). Amplitude response of coupled oscillators. Physica D 41, 449. doi: 10.1016/0167-2789(90)90007-C
3. Barnes, R., and Jones, M. R. (2000). Expectancy, attention, and time. Cogn. Psychol. 41, 254-311. doi: 10.1006/cogp.2000.0738
4. Bartolo, R., and Merchant, H. (2015). β oscillations are linked to the initiation of sensory-cued movement sequences and the internal guidance of regular tapping in the monkey. J. Neurosci. 35, 4635-4640. doi: 10.1523/JNEUROSCI.4570-14.2015
5. Bartolo, R., Prado, L., and Merchant, H. (2014). Information processing in the primate basal ganglia during sensory-guided and internally driven rhythmic tapping. J. Neurosci. 34, 3910-3923. doi: 10.1523/JNEUROSCI.2679-13.2014
6. Batschelet, E. (1981). Circular Statistics in Biology. London: Academic Press.
7. Bengtsson, S. L., Ullén, F., Ehrsson, H. H., Hashimoto, T., Kito, T., Naito, E., et al. (2009). Listening to rhythms activates motor and premotor cortices. Cortex 45, 62-71. doi: 10.1016/j.cortex.2008.07.002
8. Berens, P., and Velasco, M. J. (2009). The Circular Statistics Toolbox for Matlab. Research Group Bethge, Biologische Kybernetik, Max-Planck-Gesellschaft, Max Planck Institute for Biological Cybernetics, Tübingen. Report No: 184. Available online at: http://www.kyb.tuebingen.mpg.de/fileadmin/user_upload/files/publications/MPIK-TR-184_[0].pdf
9. Bergeson, T. R., and Trehub, S. E. (2006). Infants’ perception of rhythmic patterns. Music Percept. 23, 345-360. doi: 10.1525/mp.2006.23.4.345
10. Bolton, T. L. (1894). Rhythm. Am. J. Psychol. 6, 145-238. doi: 10.2307/1410948
11. Börgers, C., and Kopell, N. (2003). Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Comput. 15, 509-539. doi: 10.1162/089976603321192059
12. Brunel, N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J. Computat. Neurosci. 8, 183-208. doi: 10.1023/A:1008925309027
13. Brunel, N. (2003). Dynamics and plasticity of stimulus-selective persistent activity in cortical network models. Cereb. Cortex 13, 1151-1161. doi: 10.1093/cercor/bhg096
14. Buzsáki, G. (2006). Rhythms of the Brain. New York, NY: Oxford University Press.
15. Buzsáki, G., Anastassiou, C. A., and Koch, C. (2012). The origin of extracellular fields and currentseeg, ecog, lfp and spikes. Nat. Rev. Neurosci. 13, 407-420. doi: 10.1038/nrn3241
16. Buzsáki, G., and Draguhn, A. (2004). Neuronal oscillations in cortical networks. Science 304, 1926-1929. doi: 10.1126/science.1099745
17. Chapin, H. L., Zanto, T., Jantzen, K. J., Kelso, S. J. A., Steinberg, F., and Large, E. W. (2010). Neural responses to complex auditory rhythms: the role of attending. Front. Psychol. 1:224. doi: 10.3389/fpsyg.2010.00224
18. Chen, J. L., Penhune, V. B., and Zatorre, R. J. (2008a). Listening to musical rhythms recruits motor regions of the brain. Cereb. Cortex 18, 2844-2854. doi: 10.1093/cercor/bhn042
19. Chen, J. L., Penhune, V. B., and Zatorre, R. J. (2008b). Moving on time: brain network for auditory-motor synchronization is modulated by rhythm lexity and musical training. J. Cogn. Neurosci. 20, 226-239. doi: 10.1162/jocn.2008.20018
20. Cook, P., Rouse, A., Wilson, M., and Reichmuth, C. (2013). A California sea lion (Zalophus californianus) can keep the beat: motor entrainment to rhythmic auditory stimuli in a non vocal mimic. J. Comp. Psychol. 127, 412-427. doi: 10.1037/a0032345
21. Crowe, D. A., Zarco, W., Bartolo, R., and Merchant, H. (2014). Dynamic representation of the temporal and sequential structure of rhythmic movements in the primate medial remotor cortex. J. Neurosci. 34, 11972-11983. doi: 10.1523/JNEUROSCI.2177-14.2014
22. Fisher, N. I. (1993). Statistical Analysis of Circular Data. Cambridge: Cambridge University Press.
23. Fitch, W. T. (2012). "The biology and evolution of rhythm: unravelling a paradox," in language and Music as Cognitive Systems, eds P. Rebuschat, M. Rohmeier, J. A., Hawkins, and I. Cross (Oxford, UK: Oxford University Press), 73-95.
24. Fujioka, T., Trainor, L. J., Large, E. W., and Ross, B. (2009). Beta and gamma rhythms in human auditory cortex during musical beat processing. Ann. N.Y. Acad. Sci. 1169, 89-92. doi: 10.1111/j.1749-6632.2009.04779.x
25. Fujioka, T., Trainor, L. J., Large, E. W., and Ross, B. (2012). Internalized timing of isochronous sounds is represented in neuromagnetic beta oscillations. J. Neurosci. 32, 1791-1802. doi: 10.1523/JNEUROSCI.4107-11.2012
26. Grahn, J. A., and Rowe, J. B. (2009). Feeling the beat: premotor and striatal interactions in musicians and non-musicians during beat processing. J. Neurosci. 29, 7540-7548. doi: 10.1523/JNEUROSCI.2018-08.2009
27. Grahn, J. A., and Rowe, J. B. (2013). Finding and feeling the musical beat: striatal dissociations between detection and prediction of regularity. Cereb. Cortex 23, 913-921. doi: 10.1093/cercor/bhs083
28. Hannon, E. E., and Trehub, S. E. (2005). Tuning in to musical rhythms: infants learn more readily than adults. Proc. Natl. Acad. Sci. U.S.A. 102, 12289-12290. doi: 10.1073/pnas.0504254102
29. Hattori, Y., Tomonaga, M., and Matsuzawa, T. (2013). Spontaneous synchronized tapping to an auditory rhythm in a chimpanzee. Sci. Rep. 3:1566. doi: 10.1038/srep01566
30. Henry, M. J., and Herrmann, B. (2014). Low-Frequency Neural Oscillations Support Dynamic Attending in Temporal Context. Timing Time Percept. 2, 62-86. doi: 10.1163/22134468-00002011
31. Honing, H., Merchant, H., Háden, G., Prado, L., and Bartolo, R. (2012). "Probing beat induction in Rhesus monkeys: is beat induction species-specific," in Proceedings of the International Conference on Music Perception and Cognition (Thessaloniki), 454-455.
32. Hoppensteadt, F., and Izhikevich, E. M. (1997). Weakly Connected Neural Networks. Applied Mathematical Sciences. New York, NY: Springer.
33. Hoppensteadt, F. C., and Izhikevich, E. M. (1996a). Synaptic organizations and dynamical properties of weakly connected neural oscillators I: analysis canonical model. Biol. Cybern. 75, 117-127. doi: 10.1007/s004220050279
34. Hoppensteadt, F. C., and Izhikevich, E. M. (1996b). Synaptic organizations and dynamical properties of weakly connected neural oscillators II: learning e information. Biol. Cybern. 5, 126-135. doi: 10.1007/s004220050280
35. Hoppensteadt, F. C., and Izhikevich, E. M. (1999). Oscillatory neurocomputers with dynamic connectivity. Phys. Rev. Lett. 82, 2983-2986. doi: 10.1103/PhysRevLett.82.2983
36. Iversen, J. R., Repp, B. H., and Patel, A. D. (2009). Top-down control of rhythm perception modulates early auditory responses. Ann. N.Y. Acad. Sci. 1169, 58-73. doi: 10.1111/j.1749-6632.2009.04579.x
37. Izhikevich, E. M. (2000). Neural excitability, spiking and bursting. Int. J. Bifurcat. Chaos. 10, 1171-1266. doi: 10.1142/s0218127400000840
38. Jones, M. R. (1976). Time, our lost dimension: toward a new theory of perception, attention, and memory. Psychol. Rev. 83, 323-335. doi: 10.1037/0033-295X.83.5.323
39. Jones, M. R. (2008). "Musical time," in Oxford Handbook of Music Psychology, eds S. Hallam, I. Cross, and M. Thaut (Oxford: Oxford University), 81-92.
40. Jones, M. R., and Boltz, M. (1989). Dynamic attending and responses to time. Psychol. Rev. 96, 459-491. doi: 10.1037/0033-295X.96.3.459
41. Jones, M. R., Johnston, H. M., and Puente, J. (2006). Effects of auditory pattern structure on anticipatory and reactive attending. Cogn. Psychol. 53, 59-96. doi: 10.1016/j.cogpsych.2006.01.003
42. Jones, M. R., and McAuley, J. D. (2005). Time judgments in global temporal contexts. Percept. Psychophys. 67, 398-417. doi: 10.3758/BF03193320
43. Jones, M. R., and Yee, W. (1997). Sensitivity to time change: the role of context and skill. J. Exp. Psychol. Hum. Percept. Perform. 23, 693-709. doi: 10.1037/0096-1523.23.3.693
44. Kayser, C., Montemurro, M. A., Logothetis, N. K., and Panzeri, S. (2009). Spikephase coding boosts and stabilizes information carried by spatial and temporal spike patterns. Neuron 61, 597-608. doi: 10.1016/j.neuron.2009.01.008
45. Kirschner, S., and Tomasello, M. (2009). Joint drumming: Social context facilitates synchronization in preschool children. J. Exp. Psychol. 102, 299-314. doi: 10.1016/j.jecp.2008.07.005
46. Koepsell, K., Wang, X., Hirsch, J. A., and Sommer, F. T. (2010). Exploring the function of neural oscillations in early sensory systems. Front. Neurosci. 4:53. doi: 10.3389/neuro.01.010.2010
47. Kung, S.-J., Chen, J. L., Zatorre, R. J., and Penhune, V. B. (2013). Interacting cortical and basal ganglia networks underlying finding and tapping to the musical beat. J. Cogn. Neurosci. 25, 401-420. doi: 10.1162/jocn_a_00325
48. Lakatos, P., Karmos, G., Mehta, A. D., Ulbert, I., and Schroeder, C. E. (2008). Entrainment of neuronal oscillations as a mechanism of attentional selection. Science 320, 110-113. doi: 10.1126/science.1154735
49. Lakatos, P., Shah, A. S., Knuth, K. H., Ulbert, I., Karmos, G., and Schroeder, C. E. (2005). An oscillatory hierarchy controlling neuronal excitability and stimulus processing in the auditory cortex. J. Neurophysiol. 94, 1904-1911. doi: 10.1152/jn.00263.2005
50. Langner, G. (1992). Periodicity coding in the auditory system. Hear. Res. 60, 115-142. doi: 10.1016/0378-5955(92)90015-F
51. Large, E. W. (2008). "Resonating to musical rhythm: theory and experiment," in The Psychology of Time, ed S. Grondin (Cambridge: Emerald), 189-231.
52. Large, E. W. (2010). "Neurodynamics of music," in Springer Handbook of Auditory Research: Music Perception, eds R. J. Mari and F. R. Richard, and P. N. Arthur (New York, NY Springer), 201-231.
53. Large, E. W. (2014). "Rhythm perception: pulse and meter," in Encyclopedia of Computational Neuroscience, eds D. Jaeger and R. Jung (New York, NY: Springer New York), 1-6. doi: 10.1007/978-1-4614-7320-6_106-2
54. Large, E. W., Almonte, F., and Velasco, M. (2010). A canonical model for gradient frequency neural networks. Physica D 239, 905-911. doi: 10.1016/j.physd.2009.11.015
55. Large, E. W., and Gray, P. (2015). Spontaneous tempo and entrainment in a bonobo (pan paniscus). J. Comp. Psychol. doi: 10.1037/com0000011. [Epub ahead of print].
56. Large, E. W., and Jones, M. R. (1999). The dynamics of attending: how people track time varying events. Psychol. Rev. 106, 119-159. doi: 10.1037/0033-295X.106.1.119
57. Large, E. W., and Snyder, J. S. (2009). Pulse and meter as neural resonance. Ann. N.Y. Acad. Sci. 1169, 46-57. doi: 10.1111/j.1749-6632.2009.04550.x
58. Ledoux, E., and Brunel, N. (2011). Dynamics of networks of excitatory and inhibitory neurons in response to time-dependent inputs. Front. Comput. Neurosci. 5:25. doi: 10.3389/fncom.2011.00025
59. Lerdahl, F., and Jackendoff, R. S. (1983). A Generative Theory of Tonal Music. Cambridge: MIT Press.
60. Licklider, J. (1956). "Auditory frequency analysis," in Information Theory, ed C. Cherry (New York, NY: Academic Press), 253-268.
61. London, J. M. (2004). Hearing in Time: Psychological Aspects of Musical Meter. New York, NY: Oxford University Press.
62. McAuley, J. D., and Kidd, G. R. (1995). Temporally directed attending in the discrimination of tempo: further evidence for an entrainment model. J. Acoust. Soc. Am. 97, 3278. doi: 10.1121/1.411574
63. Meddis, R., and O’Mard, L. (2006). Virtual pitch in a computational physiological model. J. Acoust. Soc. Am. 120, 3861-3896. doi: 10.1121/1.2372595
64. Merchant, H., Grahn, J., Trainor, L., Rohrmeier, M., and Fitch, W. T. (2015a). Finding the beat: a neural perspective across humans and non-human primates. Philos. Trans. R. Soc. B 370:20140093. doi: 10.1098/rstb.2014.0093
65. Merchant, H., and Honing, H. (2013). Are non-human primates capable of rhythmic entrainment? Evidence for the gradual audiomotor evolution hypothesis. Front. Neurosci. 7:274. doi: 10.3389/fnins.2013.00274
66. Merchant, H., Pérez, O., Bartolo, R., Méndez, J. C., Mendoza, G., Gámez, J., et al. (2015b). Sensorimotor neural dynamics during isochronous tapping in the medial premotor cortex of the macaque. Eur. J. Neurosci. 41, 586-602. doi: 10.1111/ejn.12811
67. Merchant, H., Pérez, O., Zarco, W., and Gámez, J. (2013). Interval tuning in the primate medial premotor cortex as a general timing mechanism. J. Neurosci. 33, 9082-9096. doi: 10.1523/JNEUROSCI.5513-12.2013
68. Morillon, B., Hackett, T. A., Kajikawa, Y., and Schroeder, C. E. (2015). Predictive motor control of sensory dynamics in auditory active sensing. Curr. Opin. Neurobiol. 31, 230-238. doi: 10.1016/j.conb.2014.12.005
69. Morillon, B., Schroeder, C. E., and Wyart, V. (2014). Motor contributions to the temporal precision of auditory attention. Nat. Commun. 5:5255. doi: 10.1038/ncomms6255
70. Murdock, J. (2003). Normal Forms and Unfoldings for Local Dynamical Systems. Springer Monographs in Mathematics. New York, NY: Springer
71. Musacchia, G., Large, E. W., and Schroeder, C. E. (2014). Thalamocortical mechanisms for integrating musical tone and rhythm. Hear. Res. 308, 50-59. doi: 10.1016/j.heares.2013.09.017
72. Nozaradan, S., Chemin, B., and Mouraux, A. (2013). From sounds to movement and back: how movement shapes internal representation of musical rhythms. Front. Hum. Neurosci. doi: 10.3389/conf.fnhum.2013.214. 00044. Available online at: http://www.frontiersin.org/10.3389/conf.fnhum. 2013.214.00044/event_abstract
73. Nozaradan, S., Peretz, I., Missal, M., and Mouraux, A. (2011). Tagging the neuronal entrainment to beat and meter. J. Neurosci. 31, 10234-10240. doi: 10.1523/JNEUROSCI.0411-11.2011
74. Nozaradan, S., Peretz, I., and Mouraux, A. (2012). Selective neuronal entrainment to the beat and meter embedded in a musical rhythm. J. Neurosci. 32, 17572-17581. doi: 10.1523/JNEUROSCI.3203-12.2012
75. Oppenheim, A. V., and Schafer, R. W. (1975). Digital Signal Processing. Englewood Cliffs, NJ: Prentice Hall.
76. Patel, A. D. (2014). The evolutionary biology of musical rhythm: Was darwin wrong? PLoS Biol. 12:e1001821. doi: 10.1371/journal.pbio.1001821
77. Patel, A. D., and Iversen, J. R. (2014). The evolutionary neuroscience of musical beat perception: the action simulation for auditory prediction (asap) hypothesis. Front. Syst. Neurosci 8:57. doi: 10.3389/fnsys.2014.00057
78. Patel, A. D., Iversen, J. R., Bregman, M. R., and Schulz, I. (2009). Experimental evidence for synchronization to a musical beat in a nonhuman animal. Curr. Biol. 19, 830. doi: 10.1016/j.cub.2009.03.038
79. Phillips-Silver, J., Toiviainen, P., Gosselin, N., Piché, O., Nozaradan, S., Palmer, C., et al. (2011). Born to dance but beat deaf: a new form of congenital amusia. Neuropsychologia 49, 961-969. doi: 10.1016/j.neuropsychologia.2011.02.002
80. Phillips-Silver, J., and Trainor, L. J. (2005). Feeling the beat: movement influences infant rhythm perception. Science 308, 1430-1430. doi: 10.1126/science.1110922
81. Phillips-Silver, J., and Trainor, L. J. (2007). Hearing what the body feels: auditory encoding of rhythmic movement. Cognition 105, 546. doi: 10.1016/j.cognition.2006.11.006
82. Plack, C., and Oxenham, A. (2005). "The psychophysics of pitch," in Pitch: Neural Coding and Perception, eds C. Plack, R. Fay, A. Oxenham, and A. Popper (New York, NY: Springer), 7-55.
83. Rauschecker, J. P., and Scott, S. K. (2009). Maps and streams in the auditory cortex: nonhuman primates illuminate human speech processing. Nat. Neurosci. 12, 718-724. doi: 10.1038/nn.2331
84. Repp, B. H. (2008). Multiple temporal references in sensorimotor synchronization with metrical auditory sequences. Psychol. Res. 72, 79-98. doi: 10.1007/s00426-006-0067-1
85. Schouten, J. (1938). "The perception of subjective tones," in Proceedings of the Koninklijke Nederlandese Akademie van Wetenschapen, Vol. 41 (Eindhoven), 1086-1093.
86. Schroeder, C. E., Wilson, D. A., Radman, T., Scharfman, H., and Lakatos, P. (2010). Dynamics of active sensing and perceptual selection. Curr. Opin. Neurobiol. 20, 172-176. doi: 10.1016/j.conb.2010.02.010
87. Schubotz, R. I. (2007). Prediction of external events with our motor system: towards a new framework. Trends Cogn. Sci. 11, 211-218. doi: 10.1016/j.tics.2007.02.006
88. Shadlen, M. N., and Movshon, J. A. (1999). Synchrony unbound: a critical evaluation of the temporal binding hypothesis. Neuron 24, 67-77. doi: 10.1016/S0896-6273(00)80822-3
89. Slézia, A., Hangya, B., Ulbert, I., and Acsády, L. (2011). Phase advancement and nucleus-specific timing of thalamocortical activity during slow cortical oscillation. J. Neurosci. 31, 607-617. doi: 10.1523/JNEUROSCI.3375-10.2011
90. Snyder, J. S., and Large, E. W. (2005). Gamma-band activity reflects the metric structure of rhythmic tone sequences. Cogn. Brain Res. 24, 117-126. doi: 10.1016/j.cogbrainres.2004.12.014
91. Stefanescu, R. A., and Jirsa, V. K. (2008). A low dimensional description of globally coupled heterogeneous neural networks of excitatory and inhibitory neurons. PLoS Comput. Biol. 4:e1000219. doi: 10.1371/journal.pcbi.1000219
92. Stefanics, G., Hangya, B., Hernádi, I., Winkler, I., Lakatos, P., and Ulbert, I. (2010). Phase entrainment of human delta oscillations can mediate the effects of expectation on reaction speed. J. Neurosci. 30, 13578-13585. doi: 10.1523/JNEUROSCI.0703-10.2010
93. Steriade, M., McCormick, D. A., and Sejnowski, T. J. (1993). Thalamocortical oscillations in the sleeping and aroused brain. Science 262, 685. doi: 10.1126/science.8235588
94. Todd, N. P., and Lee, C. S. (2015). The sensory-motor theory of rhythm and beat induction 20 years on: a new synthesis and future perspectives. Front. Hum. Neurosci. 9:444. doi: 10.3389/fnhum.2015.00444
95. Todd, N. P. M. (1994). The auditory primal sketch: a multi-scale model of rhythmic grouping. J. New Music Res. 23, 25-69. doi: 10.1080/09298219408570647
96. Todd, N. P. M. (1995). The kinematics of musical expression. J. Acoust. Soc. Am. 97, 1940-1949. doi: 10.1121/1.412067
97. Varela, F., Lachaux, J. P., Rodriguez, E., and Martinerie, J. (2001). The brainweb: phase synchronization and large-scale integration. Nat. Rev. Neurosci. 2, 229-239. doi: 10.1038/35067550
98. Velasco, M. J., and Large, E. W. (2011). "Pulse detection in syncopating rhythms using neural oscillators," in Proceedings of the 12th Annual Conference of the International Society for Music Information Retrieval (Miami, FL).
99. Vos, P. G. M. M. (1973). Waarneming van metrische toonreeksen. Nikmegen: Stichting Studentenpers.
100. Whittington, M. A., Traub, R. D., Kopell, N., Ermentrout, G. B., and Buhl, E. H. (2000). Inhibition-based rhythms: experimental and mathematical observations on network dynamics. Int. J. Psychophysiol. 38, 315-336.
101. Will, U., and Berg, E. (2007). Brain wave synchronization and entrainment to periodic acoustic stimuli. Neurosci. Lett. 424, 55-60. doi: 10.1016/j.neulet.2007.07.036
102. Wilson, H. R., and Cowan, J. D. (1973). A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13, 5-80. doi: 10.1007/BF00288786
103. Wing, A. M., and Kristofferson, A. B. (1973a). Response delays and the timing of discrete motor responses. Percept. Psychophys. 14, 5-12. doi: 10.3758/BF03198607
104. Wing, A. M., and Kristofferson, A. B. (1973b). The timing of interresponse intervals. Percept. Psychophys. 13, 455-460. doi: 10.3758/BF03205802
105. Yee, W., Holleran, S., and Jones, M. R. (1994). Sensitivity to event timing in regular and irregular sequences: Influences of musical skill. Percept. Psychophys. 56, 461-471. doi: 10.3758/BF03206737
106. Zarco, W., Merchant, H., Prado, L., and Mendez, J. C. (2009). Subsecond timing in primates: comparison of interval production between human subjects and rhesus monkeys. J. Neurophysiol. 102, 3191-3202. doi: 10.1152/jn.00066.2009