Why noise is useful in functional and neural mechanisms of interval timing?

BMC Neuroscience

Volumn 14, Issue , 2013, Pages

  Oprisan, Sorinel A ^a   Buhusi, Catalin V ^b  

^a School of Business   (United States)

^b UTAH STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MODEL; NOISE; OSCILLATOR; REINFORCEMENT; STRIATAL BEAT FREQUENCY MODEL; TIME;

ACTION POTENTIALS; ANIMALS; HUMANS; MODELS, NEUROLOGICAL; NEURONS; NORMAL DISTRIBUTION; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 84881034732     PISSN: None     EISSN: 14712202     Source Type: Journal    
DOI: 10.1186/1471-2202-14-84     Document Type: Article

References (113)

1. Buhusi C, Meck W. What makes us tick? Functional and neural mechanisms of interval timing. Nature Reviews Neuroscience 2005, 6(10):755-765.
2. Gallistel CR. The organization of learning 1990, Cambridge, MA: MIT Press.
3. Meck WH, Penney TB, Pouthas V. Cortico-striatal representation of time in animals and humans. Curr Opin Neurobiol 2008, 18(2):145-152. 10.1016/j.conb.2008.08.002, 18708142.
4. Gibbon J. Scalar expectancy theory and Weber's law in animal timing. Psychol Rev 1977, 84(3):279-325.
5. Gibbon J, Allan L. Time perception - introduction. Ann N Y Acad Sci 1984, 423:1. 10.1111/j.1749-6632.1984.tb23412.x, 6588776.
6. Gibbon J, Church RM. Sources of variance in an information processing theory of timing. Animal Cognition 1984, 465-488. Hillsdale, NJ: Erlbaum, Roitblat HL, Bever TG, Terrace HS.
7. Boisvert MJ, Sherry DF. Interval timing by an invertebrate, the bumble bee Bombus impatiens. Curr Biol 2006, 16(16):1636-1640. 10.1016/j.cub.2006.06.064, 16920625.
8. Talton LE, Higa J. Interval schedule performance in the goldfish Carassius auratus. Behav Process 1999, 45:193-206.
9. Cheng K, Westwood R. Analysis of single trials in pigeons' timing performance. J Exp Psychol: Anim Behav Process 1993, 19:56-67.
10. Dews PB. The effect of multiple S delta periods on responding on a fixed-interval schedule. J Exp Anal Behav 1962, 5:369-74. 10.1901/jeab.1962.5-369, 1404086, 13885929.
11. Buhusi CV, Aziz D. Interval timing accuracy and scalar timing in C57BL/6 mice. Behav Neurosci 2009, 123(5):1102-1113. 2822645, 19824777.
12. Rakitin BC, Gibbon J, Penney TB, Malapani C, Hinton SC, Meck WH. Scalar expectancy theory and peak-interval timing in humans. J Exp Psychol: Anim Behav Processes 1998, 24:15-33.
13. Matell MS, King GR, Meck WH. Differential modulation of clock speed by the administration of intermittent versus continuous cocaine. Behav Neurosci 2004, 118:150-156.
14. Clarke S, Ivry R. The effects of various motor system lesions on time perception in the rat. Proceedings of the Annual Meeting of the Society for Neuroscience 1997, 778-778. Washington, DC: Society for Neuroscience; 23.
15. Dallal NL, Meck WH. Depletion of Dopamine in the caudate nucleus but not destruction of vestibular inputs impairs short-interval timing in rats. Soc Neurosci Abstr 1993, 19:1583.
16. Matell MS, Chelius CM, Meck WH, Sakata S. Effect of unilateral or bilateral retrograde 6-OHDA lesions of the substantia nigra pars compacta on interval timing. Abstr-Soc Neurosci 2000, 26:650.
17. Matell MS, Meck WH, Nicolelis MA. Interval timing and the encoding of signal duration by ensembles of cortical and striatal neurons. Behav Neurosci 2003, 117:760-773.
18. Maricq AV, Roberts S, Church RM. Methamphetamine and time estimation. J Exp Psychol: Anim Behav Process 1981, 7:18-30.
19. Maricq AV, Church RM. The differential effects of haloperidol and methamphetamine on time estimation in the rat. Psychopharmacology 1983, 79:10-15. 10.1007/BF00433008, 6403957.
20. Matell MS, Meck WH. A comparison of the tri-peak and peak- interval procedure in rats: equivalency of the clock speed enhancing effect of methamphetamine on interval timing. Abs-Soc Neurosci 1997, 23:1315-1316.
21. Matell MS, Meck WH. Cortico-striatal circuits and interval timing: coincidence detection of oscillatory processes. Cogn Brain Res 2004, 21(2):139-70.
22. Meck WH. Selective adjustment of the speed of internal clock and memory processes. J Exp Psychol: Anim Behav Process 1983, 9(2):171-201.
23. Meck WH. Neuropharmacology of timing and time perception. Cogn Brain Res 1996, 3(3-4):227-242.
24. Neil DB, Herndon Jr JG. Anatomical specificity within rat striatum for the dopaminergic modulation of DRL responding and activity. Brain Res 1978, 153:529-538. 10.1016/0006-8993(78)90337-2, 698792.
25. Meck WH. Hippocampal function is required for feedback control of an internal clock's criterion. Behav Neurosci 1988, 1102:54-60.
26. Drew M, Fairhurst S, Malapani C, Horvitz J, Balsam P. Effects of dopamine antagonists on the timing of two intervals. Int J Psychophysiol 2003, 75:9-15.
27. Harrington DL, Haaland KY, Hermanowicz N. Temporal processing in the basal ganglia. Neuropsychology 1998, 12:3-12.
28. Harrington DL, Haaland KY. Neural underpinnings of temporal processing: a review of focal lesion, pharmacological, and functional imaging research. Rev Neurosci 1999, 10:91-116.
29. Hinton SC, Meck WH, MacFall JR. Peak-interval timing in humans activates frontal-striatal loops. NeuroImage 1996, 3:S224.
30. Lejeune H, Maquet P, Bonnet M, Casini L, Ferrara A, Macar F, Pouthas V, Timsit-Berthier M, Vidal F. The basic pattern of activation in motor and sensory temporal tasks: positron emission tomography data. Neurosci Lett 1997, 235(1-2):21-24.
31. Maquet P, Lejeune H, Pouthas V, Bonnet M, Casini L, Macar F, Timsit-Berthier M, Vidal F, Ferrara A, Degueldre C, Quaglia L, Delfiore G, Luxen A, Woods R, Maziotta J, Comar D. Brain activation induced by estimation of duration: a PET study. NeuroImage 1996, 3:119-126. 10.1006/nimg.1996.0014, 9345483.
32. Rao S, Harrington D, Haaland K, Bobholz J, Cox R, Binder J. Distributed neural systems underlying the timing of movements. J Neurosci 1997, 17:5528-5535.
33. Rao S, Mayer A, Harrington D. The evolution of brain activation during temporal processing. Nat Neurosci 2001, 4:317-323. 10.1038/85191, 11224550.
34. Coull JT, Vidal F, Nazarian B, Macar F. Functional anatomy of the attentional modulation of time estimation. Science 2004, 303:1506-1508. 10.1126/science.1091573, 15001776.
35. Binkofski F, Block RA. Accelerated time experience after left frontal cortex lesion. Neurocase 1996, 2:485-493.
36. Malapani C, Rakitin B, Levy R, Meck W, Deweer B, Dubois B, Gibbon J. Coupled temporal memories in Parkinson's disease: a dopamine-related dysfunction. J Cognit Neurosci 1998, 10:316-331.
37. Nichelli P, Clark K, Hollnagel C, Grafman J. Duration processing after frontal lobe lesions. Ann N Y Acad Sci 1995, 769:183-190. 10.1111/j.1749-6632.1995.tb38139.x, 8595025.
38. Meck WH. Affinity for the dopamine D2 receptor predicts neuroleptic potency in decreasing the speed of an internal clock. Pharmacol Biochem Behav 1986, 25:1185-1189. 10.1016/0091-3057(86)90109-7, 2880350.
39. Harrington DL, Haaland KY. Sequencing in Parkinson's disease. Abnormalities in programming and controlling movement. Brain Res 1991, 114:99-115.
40. Malapani C, Deweer B, Gibbon J. Separating storage from retrieval dysfunction of temporal memory in Parkinson's disease. J Cognit Neurosci 2002, 14:311-322.
41. Malapani C, Fairhurst S. Scalar timing in animals and humans. Learn Motiv 2002, 33:156-176.
42. Meck WH, Church RM. Cholinergic modulation of the content of temporal memory. Behav Neurosci 1987, 101:457-464.
43. Meck WH, Church RM. Nutrients that modify the speed of internal clock and memory storage processes. Behav Neurosci 1987, 101:465-475.
44. Olton DS, Wenk GL, Church RM, Meck WH. Attention and the frontal cortex as examined by simultaneous temporal processing. Neuropsychologia 1988, 26:307-318. 10.1016/0028-3932(88)90083-8, 3399046.
45. Church RM, Broadbent HA. Alternative representations of time, number, and rate. Cognition 1990, 37(1-2):55-81.
46. Church RM, Broadbent HA. A connectionist model of timing. Quantitative models of behavior: Neural networks and conditioning 1991, 225-240. Hillsdale, NJ: Erlbaum, Commons ML, Grossberg S, Staddon JER.
47. Church R, Lacourse D, Crystal J. Temporal search as a function of the variability of interfood intervals. J Exp Psychol: Anim Behav Process 1998, 24:291-315.
48. Crystal J. Systematic nonlinearities in the perception of temporal intervals. J Exp Psychol: Anim Behav Processes 1999, 25:3-17.
49. Crystal J, Church R, Broadbent H. Systematic nonlinearities in the memory representation of time. J Exp Psychol: Anim Behav Processes 1997, 23:267-282.
50. Wearden J, Doherty M Exploring and developing a connec- tionist model of animal timing: peak procedure and fixed-interval simulations. J Exp Psychol: Anim Behav Processes 1995, 23:99-115. Doherty M.
51. Aschoff J. Temporal orientation: circadian clocks in animals and humans. Anim Behav 1989, 37:881-896.
52. Miall RC. The storage of time intervals using oscillating neurons. Neural Comput 1989, 1:359-371.
53. Church R, Meck W, Gibbon J. Application of scalar timing theory to individual trials. J Exp Psychol: Anim Behav Processes 1994, 20:135-155.
54. Schneider BA. A two-state analysis of fixed- interval responding in pigeons. J Exp Anal Behav 1969, 12:667-687.
55. Fellous J, Tiesinga P, Thomas P, Sejnowski T. Discovering spike patterns in neuronal responses. J Neurosci 2004, 24(12):2989-3001. 10.1523/JNEUROSCI.4649-03.2004, 2928855, 15044538.
56. White J, Rubinstein J, Kay A. Channel noise in neurons. Trends Neurosci 2000, 23:99-115.
57. Faisal A, Selen L, Wolpert D. Noise in the nervous system. Nat Rev Neurosci 2008, 9:292-303. 10.1038/nrn2258, 2631351, 18319728.
58. Destexhe A, Rudolph M, Pare D. The high-conductance state of neocortical neurons in vivo. Nat Rev Neurosci 2003, 4:739-751. 10.1038/nrn1198, 12951566.
59. Matsumura M, Cope T, Fetz EE. Sustained excitatory synaptic input to motor cortex neurons in awake animals revealed by intracellular recording of membrane potentials. Exp Brain Res 1988, 70:463-469.
60. Steriade M, Timofeev I, Grenier F. Natural waking and sleep states: a view from inside neocortical neurons. J Neurophysiol 2001, 85:1969-1985.
61. Clay JR, DeFelice LJ. Relationship between membrane excitability and single channel open-close kinetics. Biophys J 1983, 42:151-157. 10.1016/S0006-3495(83)84381-1, 1329218, 6305436.
62. Rubinstein JT. Threshold fluctuations in an N sodium channel model of the noise of Ranvier. Biophys J 1995, 68:779-785. 10.1016/S0006-3495(95)80252-3, 1281801, 7756544.
63. Chow CC, White JA. Spontaneous action potentials due to channel fluctuations. Biophys J 1996, 71:3013-3021. 10.1016/S0006-3495(96)79494-8, 1233790, 8968572.
64. Englitz B, Stiefel K, Sejnowski T. Irregular firing of isolated cortical interneurons in vitro driven by intrinsic stochastic mechanisms. Neural Comput 2008, 20:44-64. 10.1162/neco.2008.20.1.44, 2730502, 18045000.
65. Markram H, Toledo-Rodriguez M, Wang Y, Gupta A, Silberberg G, Wu C. Interneurons of the neocortical inhibitory system. Nat Rev Neurosci 2004, 5(10):793-807. 10.1038/nrn1519, 15378039.
66. Calvin W, Stevens C. Synaptic noise and other sources of randomness in motoneuron interspike intervals. J Neurophys 1968, 31:574-587.
67. Stevens CF, Zado AM. Input synchrony and the irregular firing of cortical neurons. Nat Neurosci 1998, 1(3):210-217. 10.1038/659, 10195145.
68. Morris C, Lecar H. Voltage oscillations in the barnacle giant muscle fiber. Biophys J 1981, 35:193-213. 10.1016/S0006-3495(81)84782-0, 1327511, 7260316.
69. Rinzel J, Ermentrout B. Analysis of neural excitability and oscillations 1998, Cambridge, MA: MIT Press.
70. Hodgkin AL. The local electric changes associated with repetitive action in a non-medullated axon. J Phys 1948, 107:165-181.
71. FitzHugh R. Mathematical models of threshold phenomena in the nerve membrane. Bull Math Biophys 1955, 17:257-278.
72. Nagumo J, Arimoto S, Yoshizawa S. An active pulse transmission line simulating nerve axon. Proc IRE 1962, 50:2061-2070.
73. White J, Budde T, Kay A. A bifurcation analysis of neuronal subthreshold oscillations. Biophys J 1995, 64(4):1203-1217.
74. Tateno T, Pakdaman K. Random dynamics of the Morris-Lecar neural model. Chaos 2004, 14(3):511-530. 10.1063/1.1756118, 15446961.
75. Beiser D, Houk J. Model of cortical-basal ganglionic processing: encoding the serial order of sensory events. Clin Neurophys 1998, 79:3168-3188.
76. Houk JC. Information processing in modular circuits linking basal ganglia and cerebral cortex. Models of, Information Processing in the Basal Ganglia 1995, 3-10. Cambridge, MA: MIT Press, Houk JC, Davis JL, Beiser DG.
77. Houk JC, Barto AG, Adams JL A model of how the basal ganglia generate and use neural signals that predict reinforcement. Models of, Information Processing in the Basal Ganglia 1995, 24-270. Cambridge, MA: MIT Press, Houk JC, Davis JL, Beiser DG, Adams JL.
78. Umemiya M, Raymond L. Dopaminergic modulation of excitatory postsynaptic currents in rat neostriatal neurons. J Neurophys 1997, 78:1248-1255.
79. Pignatelli M, Beyeler A, Leinekugel X. Neural circuits underlying the generation of theta oscillations. J Phys-Paris 2012, 106(34):81-92.
80. Rizzuto D, Madsen J, Bromfield E, Schulze-Bonhage A, Seelig D, Aschenbrenner-Scheibe R, Kahana M. Reset of human neocortical oscillations during a working memory task. Proc Nat Acad Sci USA 2003, 100:7931-7936. 10.1073/pnas.0732061100, 164690, 12792019.
81. Steriade M, Jones EG, Llinas RR. Thalamic oscillations and signaling 1990, Oxford, England: John Wiley and Sons.
82. Oprisan S, Buhusi C. Modelling pharmacological clock and memory patterns of interval timing in a striatal beat-frequency model with realistic, noisy neurons. Front Integr Neurosci 2011, 5:52. 3178804, 21977014.
83. Oprisan SA, Buhusi CV. How noise contributes to time-scale invariance of interval timing. Phys Rev E 2013, 87(5):052717.
84. Oprisan SA, Dix S, Buhusi CV. Phase resetting and its implications for interval timing with intruders. Behav Process 2013, 1-10. in press.
85. Buhusi CV, Oprisan SA. Time-scale invariance as an emergent property in a perceptron with realistic, noisy neurons. Behav Process 2013, 95:60-70. in press.
86. Winfree A. The Geometry of Biological Time 2001, New York: Springer-Verlag.
87. Izhikevich EM. Phase equations for relaxation oscillators. SIAM J Appl Math 2000, 60:1789-1805.
88. Guckenheimer J, Holmes P. Nonlinear Oscillations, Dynamical systems and Bifurcations of Vector Fields 1983, New York: Springer.
89. Kuramoto Y. Chemical Oscillations, Waves, and Turbulence 1984, New York: Springer-Verlag.
90. Kuznetsov YA. Elements of Applied Bifurcation Theory, 3 edition 2004, New York: Springer.
91. Ermentrout G. Losing amplitude and saving phase, Volume 66 1986, Berlin - New York: Springer.
92. Papoulis A, Pillai SU. Probability, Random Variables and Stochastic Processes, 4 edition 2002, USA: McGraw Hill.
93. Spiegel MR. Theory and Problems of Probability and Statistics 1992, New York: McGraw-Hill.
94. Reyes A, Fetz E. How modes of interspike interval shortening by brief transient depolarizations in cat neocortical neurons. J Neurophys 1993, 69:1661-1672.
95. Tateno T, Harsch A, Robinson H. Threshold firing frequency-current relationships of neurons in rat somatosensory cortex: type 1 and type 2 dynamics. J Neurophys 2004, 92:2283-2299.
96. Stein EM, Shakarchi R. Fourier Analysis: An Introduction 2003, Princeton and Oxford: Princeton University Press.
97. Braun H, Wissing H, Schafer K, Hirsch M. Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature 1994, 367:270-273. 10.1038/367270a0, 11407413.
98. Douglass J, Wilkens L, Pantazelou E, Moss F. Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance. Nature 1993, 365:337-340. 10.1038/365337a0, 8377824.
99. Galan R, Fourcaud-Trocme N, Ermentrout GB, Urban NN. Correlation-induced synchronization of oscillations in olfactory bulb neurons. J Neurosci 2006, 26:3646-3655. 10.1523/JNEUROSCI.4605-05.2006, 16597718.
100. Tateno T, Robinson H. Quantifying noise-induced stability of a cortical fast-spiking cell model with Kv3-channel-like current. Biosystems 2007, 86(1-3):110-116.
101. Ditlevsen S, Greenwood P. The Morris-Lecar neuron model embeds a leaky integrate-and-fire model. J Math Bio 2013, 67(2):239-159.
102. Killeen PR, Fetterman JG. A behavioral theory of timing. Psychol Rev 1988, 95(2):274-95.
103. Grossberg S, Schmajuk N. Neural dynamics of adaptive timing and temporal discrimination during associative learning. Neural Netw 1989, 2:79-102.
104. Grossberg S, Merrill JW. A neural network model of adaptively timed reinforcement learning and hippocampal dynamics. Brain Res Cogn Brain Res 1992, 1(1):3-38. 10.1016/0926-6410(92)90003-A, 15497433.
105. Machado A. Learning the temporal dynamics of behavior. Psychol Rev 1997, 104(2):241-65.
106. Staddon JER, Higa JJ. Time and memory: towards a pacemaker-free theory of interval timing. J Exp Anal Behav 1999, 71(2):215-251. 10.1901/jeab.1999.71-215, 1284701, 10220931.
107. Staddon JER, Higa JJ, Chelaru IM. Time, trace, memory. J Exp Anal Behav 1999, 71(2):293-301. 10.1901/jeab.1999.71-293, 1284712, 16812896.
108. Leon MI, Shadlen MN. Representation of time by neurons in the posterior parietal cortex of the macaque. Neuron 2003, 38(2):317-327. 10.1016/S0896-6273(03)00185-5, 12718864.
109. Simen P, Balci F, deSouza L, Cohen JD, Holmes P. A model of interval timing by neural integration. J Neurosci 2011, 31(25):9238-9253. 10.1523/JNEUROSCI.3121-10.2011, 3142662, 21697374.
110. Reutimann J, Yakovlev V, Fusi S, Senn W. Climbing neuronal activity as an event-based cortical representation of time. J Neurosci 2004, 24:3295-3303. 10.1523/JNEUROSCI.4098-03.2004, 15056709.
111. Gallistel CR, Gibbon J. Time, rate, and conditioning. Psychol Rev 2000, 107:289-344.
112. Karmarkar UR, Buonomano DV. Timing in the absence of clocks: encoding time in neural network states. Neuron 2007, 53(3):427-438. 10.1016/j.neuron.2007.01.006, 1857310, 17270738.
113. Ermentrout GB. Type I membranes, phase resetting curves, and synchrony. Neural Comput 1996, 8(5):979-1001. 10.1162/neco.1996.8.5.979, 8697231.