Generation of spatiotemporally correlated spike trains and local field potentials using a multivariate autoregressive process

Journal of Neurophysiology

Volumn 103, Issue 5, 2010, Pages 2912-2930

  Gutnisky, Diego A ^a   Josić, Krešimir ^b  

^a UNIVERSITY OF TEXAS MEDICAL SCHOOL   (United States)

^b University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COMPUTER SIMULATION; KERNEL METHOD; MEMBRANE POTENTIAL; MULTIVARIATE ANALYSIS; NERVE CONDUCTION; NERVE POTENTIAL; NERVE STIMULATION; NONLINEAR SYSTEM; POISSON DISTRIBUTION; PRIORITY JOURNAL; SPIKE WAVE; STOCHASTIC MODEL; TEMPORAL LOBE;

ACTION POTENTIALS; ALGORITHMS; ANIMALS; COMPUTER SIMULATION; MODELS, NEUROLOGICAL; MULTIVARIATE ANALYSIS; NEURONS; NONLINEAR DYNAMICS; NORMAL DISTRIBUTION; PROBABILITY; REGRESSION ANALYSIS; SIGNAL PROCESSING, COMPUTER-ASSISTED; STOCHASTIC PROCESSES; TIME FACTORS;

EID: 77953011917     PISSN: 00223077     EISSN: 15221598     Source Type: Journal    
DOI: 10.1152/jn.00518.2009     Document Type: Article

References (86)

1. Akaike H. Block Toeplitz matrix inversion. SIAM J Appl Math 24: 234-241, 1973.
2. Alonso JM, Martinez LM. Functional connectivity between simple cells and complex cells in cat striate cortex. Nat Neurosci 1: 395-403, 1998. (Pubitemid 128418533)
3. Alonso JM, Usrey WM, Reid RC. Rules of connectivity between geniculate cells and simple cells in cat primary visual cortex. J Neurosci 21: 4002-4015, 2001. (Pubitemid 32466491)
4. Ammar GS. Classical foundations of algorithms for solving positive definite Toeplitz equations. Calcolo 33: 99-113, 1996.
5. Ammar GS, Gragg WB. Superfast solution of real positive definite Toeplitzsystems. SIAM J Matrix Anal Appl 9: 61-76, 1988.
6. Averbeck BB, Lee D. Effects of noise correlations on information encoding and decoding. J Neurophysiol 95: 3633-3644, 2006.
7. Bair W, Zohary E, Newsome WT. Correlated firing in macaque visual area MT: time scales and relationship to behavior. J Neurosci 21: 1676-1697, 2001. (Pubitemid 32182208)
8. Bauerle N, Grubel R. Multivariate counting processes: copulas and beyond. Astin Bull 35: 379-408, 2005.
9. Bethge M, Berens P. Near-maximum entropy models for binary neural representations of natural images. In: Advances in Neural Information Processing Systems 20: Proceedings of the 2007 Conference, edited by Platt JC, Koller D, Singer Y, Roweis S. Cambridge, MA: MIT Press, 2008, p. 97-104.
10. Bohte SM, Spekreijse H, Roelfsema PR. The effects of pair-wise and higher-order correlations on the firing rate of a postsynaptic neuron. Neural Comput 12: 153-179, 2000.
11. Boyden ES, Zhang F, Bamberg E, Nagel G, Deisseroth K. Millisecond-timescale, genetically targeted optical control of neural activity. Nat Neurosci 8: 1263-1268, 2005.
12. Brette R. Generation of correlated spike trains. Neural Comput 21: 188-215, 2009.
13. Brody CD. Correlations without synchrony. Neural Comput 11: 1537-1551, 1999a.
14. Brody CD. Disambiguating different covariation types. Neural Comput 11: 1527-1535, 1999b.
15. Callaway EM, Katz LC. Photostimulation using caged glutamate reveals functional circuitry in living brain slices. Proc Natl Acad Sci USA 90: 7661-7665, 1993.
16. Chen Y, Geisler WS, Seidemann E. Optimal decoding of correlated neural population responses in the primate visual cortex. Nat Neurosci 9: 1412-1420, 2006.
17. Cohen MR, Newsome WT. Context-dependent changes in functional circuitry in visual area MT. Neuron 60: 162-173, 2008.
18. Cox DR, Isham V. Point Processes. New York: Chapman & Hall, 1980.
19. Cox DR, Wermuth N. Likelihood factorizations for mixed discrete and continuous variables. Scand J Stat 26: 209-220, 1999.
20. Cruikshank SJ, Killackey HP, Metherate R. Parvalbumin and calbindin are differentially distributed within primary and secondary subregions of the mouse auditory forebrain. Neuroscience 105: 553-569, 2001.
21. de la Rocha J, Doiron B, Shea-Brown E, Josic K, Reyes A. Correlation between neural spike trains increases with firing rate. Nature 448: 802-806, 2007.
22. Duemani Reddy G, Kelleher K, Fink R, Saggau P. Three-dimensional random access multiphoton microscopy for functional imaging of neuronal activity. Nat Neurosci 11: 713-720, 2008.
23. Engel AK, Fries P, Singer W. Dynamic predictions: oscillations and synchrony in top-down processing. Nat Rev Neurosci 2: 704-716, 2001.
24. Engel AK, Singer W. Temporal binding and the neural correlates of sensory awareness. Trends Cogn Sci 5: 16-25, 2001.
25. Fetz EE, Gustafsson B. Relation between shapes of post-synaptic potentials and changes in firing probability of cat motoneurones. J Physiol 341: 387-410, 1983.
26. Fries P. A mechanism for cognitive dynamics: neuronal communication through neuronal coherence. Trends Cogn Sci 9: 474-480, 2005.
27. Fries P, Nikolic D, Singer W. The gamma cycle. Trends Neurosci 30: 309-316, 2007.
28. Fries P, Reynolds JH, Rorie AE, Desimone R. Modulation of oscillatory neuronal synchronization by selective visual attention. Science 291: 1560-1563, 2001.
29. Fries P, Roelfsema PR, Engel AK, Konig P, Singer W. Synchronization of oscillatory responses in visual cortex correlates with perception in interocular rivalry. Proc Natl Acad Sci USA 94: 12699-12704, 1997.
30. Gasparini S, Magee JC. State-dependent dendritic computation in hippocampal CA1 pyramidal neurons. J Neurosci 26: 2088-2100, 2006.
31. Gray CM, Konig P, Engel AK, Singer W. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338: 334-337, 1989.
32. Greenberg DS, Houweling AR, Kerr JN. Population imaging of ongoing neuronal activity in the visual cortex of awake rats. Nat Neurosci 11: 749-751, 2008.
33. Gutnisky DA, Dragoi V. Adaptive coding of visual information in neural populations. Nature 452: 220-224, 2008.
34. Hallin M, Ingenbleek JF. Nonstationary Yule-Walker equations. Stat Probabil Lett 1: 189-195, 1983.
35. Han X, Boyden ES. Multiple-color optical activation, silencing, and desynchronization of neural activity, with single-spike temporal resolution. PLoS ONE 2: e299, 2007.
36. Heck D, Kummell F, Thach WT, Aertsena A. Dynamic correlation of neuronal activity in rat cerebellar cortex modulated by behavior. Ann NY Acad Sci 978: 156-163, 2002.
37. Huber D, Petreanu L, Ghitani N, Ranade S, Hromadka T, Mainen Z, Svoboda K. Sparse optical microstimulation in barrel cortex drives learned behaviour in freely moving mice. Nature 451: 61-64, 2008.
38. Kamm J, Nagy JG. Optimal Kronecker product approximation of block Toeplitz matrices. SIAM J Matrix Anal Appl 22: 155-172, 2000.
39. Kohn A, Smith MA. Stimulus dependence of neuronal correlation in primary visual cortex of the macaque. J Neurosci 25: 3661-3673, 2005.
40. Krumin M, Shoham S. Generation of spike trains with controlled auto- and cross-correlation functions. Neural Comput 21: 1642-1664, 2009.
41. Kuhn A, Aertsen A, Rotter S. Higher-order statistics of input ensembles and the response of simple model neurons. Neural Comput 15: 67-101, 2003.
42. Kuhn A, Aertsen A, Rotter S. Neuronal integration of synaptic input in the fluctuation-driven regime. J Neurosci 24: 2345-2356, 2004.
43. Macke JH, Berens P, Ecker AS, Tolias AS, Bethge M. Generating spike trains with specified correlation coefficients. Neural Comput 21: 397-423, 2009.
44. MacLeod K, Laurent G. Distinct mechanisms for synchronization and temporal patterning of odor-encoding neural assemblies. Science 274: 976-979, 1996.
45. Markowitz DA, Collman F, Brody CD, Hopfield JJ, Tank DW. Ratespecific synchrony: using noisy oscillations to detect equally active neurons. Proc Natl Acad Sci USA 105: 8422-8427, 2008.
46. Mazurek ME, Shadlen MN. Limits to the temporal fidelity of cortical spike rate signals. Nat Neurosci 5: 463-471, 2002.
47. Moreno R, de la Rocha J, Renart A, Parga N. Response of spiking neurons to correlated inputs. Phys Rev Lett 89: 288101.1-288101.4, 2002.
48. Muller JR, Metha AB, Krauskopf J, Lennie P. Rapid adaptation in visual cortex to the structure of images. Science 285: 1405-1408, 1999.
49. Muresan RC, Jurjut OF, Moca VV, Singer W, Nikolic D. The oscillation score: an efficient method for estimating oscillation strength in neuronal activity. J Neurophysiol 99: 1333-1353, 2008.
50. Netoff TI, Banks MI, Dorval AD, Acker CD, Haas JS, Kopell N, White JA. Synchronization in hybrid neuronal networks of the hippocampal formation. J Neurophysiol 93: 1197-1208, 2005.
51. Niebur E. Generation of synthetic spike trains with defined pairwise correlations. Neural Comput 19: 1720-1738, 2007.
52. Nikolenko V, Poskanzer KE, Yuste R. Two-photon photostimulation and imaging of neural circuits. Nat Methods 4: 943-950, 2007.
53. Nikolenko V, Watson BO, Araya R, Woodruff A, Peterka DS, Yuste R. SLM microscopy: scanless two-photon imaging and photostimulation with spatial light modulators (Abstract). Front Neural Circuits 2: 5, 2008.
54. Oram MW, Wiener MC, Lestienne R, Richmond BJ. Stochastic nature of precisely timed spike patterns in visual system neuronal responses. J Neurophysiol 81: 3021-3033, 1999. (Pubitemid 29283955)
55. Perkel DH, Gerstein GL, Moore GP. Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains. Biophys J 7: 419-440, 1967.
56. Poort J, Roelfsema PR. Noise correlations have little influence on the coding of selective attention in area V1. Cereb Cortex 19: 543-553, 2009.
57. Pouille F, Scanziani M. Enforcement of temporal fidelity in pyramidal cells by somatic feed-forward inhibition. Science 293: 1159-1163, 2001.
58. Qaqish BF. A family of multivariate binary distributions for simulating correlated binary variables with specified marginal means and correlations Biometrika 90: 455-463, 2005.
59. Reyes AD. Synchrony-dependent propagation of firing rate in iteratively constructed networks in vitro. Nat Neurosci 6: 593-599, 2003.
60. Rickert J, Oliveira SC, Vaadia E, Aertsen A, Rotter S, Mehring C. Encoding of movement direction in different frequency ranges of motor cortical local field potentials. J Neurosci 25: 8815-8824, 2005.
61. Riehle A, Grun S, Diesmann M, Aertsen A. Spike synchronization and rate modulation differentially involved in motor cortical function. Science 278: 1950-1953, 1997.
62. Roelfsema PR, Engel AK, Konig P, Singer W. Visuomotor integration is associated with zero time-lag synchronization among cortical areas. Nature 385: 157-161, 1997.
63. Romo R, Hernandez A, Zainos A, Salinas E. Correlated neuronal discharges that increase coding efficiency during perceptual discrimination. Neuron 38: 649-657, 2003.
64. Salinas E, Sejnowski TJ. Impact of correlated synaptic input on output firing rate and variability in simple neuronal models. J Neurosci 20: 6193-6209, 2000. (Pubitemid 30658413)
65. Salinas E, Sejnowski TJ. Correlated neuronal activity and the flow of neural information. Nat Rev Neurosci 2: 539-550, 2001.
66. Schneidman E, Berry MJ 2nd, Segev R, Bialek W. Weak pairwise correlations imply strongly correlated network states in a neural population. Nature 440: 1007-1012, 2006.
67. Schoffelen JM, Oostenveld R, Fries P. Neuronal coherence as a mechanism of effective corticospinal interaction. Science 308: 111-113, 2005. (Pubitemid 40471009)
68. Schroeder CE, Lakatos P. Low-frequency neuronal oscillations as instruments of sensory selection. Trends Neurosci 32: 9-18, 2009.
69. Shanmugan KS, Breipohl AM. Random Signals: Detection, Estimation, and Data Analysis. New York: Wiley, 1988.
70. Shea-Brown E, Josić K, de la Rocha J, Doiron B. Correlation and synchrony transfer in integrate-and-fire neurons: basic properties and consequences for coding. Phys Rev Lett 100: 108102, 2008.
71. Siegel M, Donner TH, Oostenveld R, Fries P, Engel AK. Neuronal synchronization along the dorsal visual pathway reflects the focus of spatial attention. Neuron 60: 709-719, 2008.
72. Smith MA, Kohn A. Spatial and temporal scales of neuronal correlation in primary visual cortex. J Neurosci 28: 12591-12603, 2008.
73. Song S, Miller KD, Abbott LF. Competitive Hebbian learning through spike-timing-dependent synaptic plasticity. Nat Neurosci 3: 919-926, 2000.
74. Steinmetz PN, Roy A, Fitzgerald PJ, Hsiao SS, Johnson KO, Niebur E. Attention modulates synchronized neuronal firing in primate somatosensory cortex. Nature 404: 187-190, 2000.
75. Usrey WM, Reppas JB, Reid RC. Specificity and strength of retinogeniculate connections. J Neurophysiol 82: 3527-3540, 1999.
76. Vaadia E, Haalman I, Abeles M, Bergman H, Prut Y, Slovin H, Aertsen A. Dynamics of neuronal interactions in monkey cortex in relation to behavioural events. Nature 373: 515-518, 1995.
77. Veredas FJ, Vico FJ, Alonso JM. Factors determining the precision of the correlated firing generated by a monosynaptic connection in the cat visual pathway. J Physiol 567: 1057-1078, 2005.
78. Wax M, Kailath T. Efficient inversion of Toeplitz-Block Toeplitz matrix. IEEE Trans Acoust Speech Signal Process 31: 1218-1221, 1983. (Pubitemid 14490802)
79. Wehr M, Laurent G. Odour encoding by temporal sequences of firing in oscillating neural assemblies. Nature 384: 162-166, 1996. (Pubitemid 26386470)
80. Womelsdorf T, Fries P. The role of neuronal synchronization in selective attention. Curr Opin Neurobiol 17: 154-160, 2007.
81. Womelsdorf T, Fries P, Mitra PP, Desimone R. Gamma-band synchronization in visual cortex predicts speed of change detection. Nature 439: 733-736, 2006.
82. Womelsdorf T, Schoffelen JM, Oostenveld R, Singer W, Desimone R, Engel AK, Fries P. Modulation of neuronal interactions through neuronal synchronization. Science 316: 1609-1612, 2007.
83. Zhang F, Aravanis AM, Adamantidis A, de Lecea L, Deisseroth K. Circuit-breakers: optical technologies for probing neural signals and systems. Nat Rev Neurosci 8: 577-581, 2007a.
84. Zhang F, Wang LP, Boyden ES, Deisseroth K. Channelrhodopsin-2 and optical control of excitable cells. Nat Methods 3: 785-792, 2006.
85. Zhang F, Wang LP, Brauner M, Liewald JF, Kay K, Watzke N, Wood PG, Bamberg E, Nagel G, Gottschalk A, Deisseroth K. Multimodal fast optical interrogation of neural circuitry. Nature 446: 633-639, 2007b.
86. Zohary E, Shadlen MN, Newsome WT. Correlated neuronal discharge rate and its implications for psychophysical performance. Nature 370: 140-143, 1994.