Dynamical heterogeneity of suprachiasmatic nucleus neurons based on regularity and determinism

Journal of Computational Neuroscience

Volumn 19, Issue 1, 2005, Pages 87-98

  Jeong, Jaeseung ^a   Kwak, Yongho ^b   Kim, Yang In ^c   Lee, Kyoung J ^b  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^b Korea University   (South Korea)

^c Korea University College of Medicine   (South Korea)

Author keywords

Heterogeneity; Interspike intervals; Nonlinear determinism; Suprachiasmatic nucleus

Indexed keywords

AMINO ACIDS; MAMMALS; STOCHASTIC SYSTEMS;

BICUCULLINE; BIOLOGICAL CLOCK; COEFFICIENTS OF VARIATIONS; DETERMINISTICS; DYNAMICAL HETEROGENEITIES; HETEROGENEITY; INTER SPIKE INTERVALS; NONLINEAR DETERMINISM; PERIODIC MEAN; SUPRACHIASMATIC NUCLEUS;

NEURONS;

4 AMINOBUTYRIC ACID; BICUCULLINE;

ANIMAL CELL; ANIMAL TISSUE; ARTICLE; BIOLOGICAL RHYTHM; BRAIN ELECTROPHYSIOLOGY; CLUSTER ANALYSIS; CONTROLLED STUDY; CORRELATION ANALYSIS; GABAERGIC SYSTEM; GENETIC HETEROGENEITY; HYPOTHALAMUS; MALE; MAMMAL; NERVE CELL; NONHUMAN; PRIORITY JOURNAL; RAT; STOCHASTIC MODEL; STUDENT T TEST; SUPRACHIASMATIC NUCLEUS; SYNAPTIC TRANSMISSION;

EID: 24144490069     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-005-0138-0     Document Type: Article

References (73)

1. Antle MC, Foley DK, Foley NC, Silver R (2003) Gates and oscillators: A network model of the brain clock. Journal of Biological Rhythms 18: 339-350. 10.1177/0748730403253840
2. Cahill GM, Menaker M (1989) Responses of the suprachiasmatic nucleus to retinohypothalamic tract volleys in a slice preparation of the mouse hypothalamus. Brain Research 479: 65-75. 10.1016/0006-8993(89)91336-X
3. Chang T, Schiff SJ, Sauer T, Gossard JP, Burke RE (1994) Stochastic versus deterministic variability in simple neuronal circuits: I. Monosynaptic spinal cord reflexes. Biophysical Journal 67: 671-683. 7948680
4. Chapeau-Blondeau F, Chauvet G (1992) Stable oscillatory and chaotic regimes in the dynamics of small neural networks with delay. Neural Networks 5: 735-743
5. Cloues RK, Sather WA (2003) Afterhyperpolarization regulates firing rate in neurons of the suprachiasmatic nucleus. Journal of Neuroscience 23: 1593-1604. 12629163
6. De Menendez LA, Prida L, Stollenwerk N, Sanchez-Andres JV (1997) Bursting as a source for predictability in biological neural network activity. Physica D 110: 323-331.
7. Debus S, Sandkuhler J (1996) Low dimensional attractors in discharges of sensory neurons of the rat spinal dorsal horn are maintained by supraspinal descending systems. Neuroscience 70: 191-200. 10.1016/ 0306-4522(95)00344-I
8. Di Mascio M, Di Giovanni G, Di Matteo V, Esposito E (1999a) Reduced chaos of interspike interval of midbrain dopaminergic neurons in aged rats. Neuroscience 89: 1003-1008. 10.1016/S0306-4522(98)00702-7
9. Di Mascio M, Di Giovanni G, Di Matteo V, Esposito E (1999b) Decreased chaos of midbrain dopaminergic neurons after serotonin denervation. Neuroscience 92: 237-243. 10.1016/S0306-4522(98)00757-X
10. Eckmann JP, Ruelle D (1992) Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Physica D 56: 185-187
11. Faure P, Korn H (2001) Is there chaos in the brain? Concepts of nonlinear dynamics and methods of investigation. Comptes Rendus de l'Academie des Sciences III 324: 773-793. 10.1016/S0764-4469(01)01377-4
12. Fraser AM, Swinney HL (1986) Independent coordinates for strange attractors from mutual information. Physical Review A 33: 1134-1140. 10.1103/PhysRevA.33.1134
13. MU Gillette 1991 SCN electrophysiology in vitro: Rhythmic activity and endogenous clock properties In: DC Klein RY Moore SM Reppert Eds. Suprachiasmatic Nucleus: The Mind's Clock Oxford University Press New York, NY 125-143
14. Grassberger P, Procaccia I (1983) Measuring the strangeness of strange attractors. Physica D 9: 189-208
15. Groos GA, Hendriks J (1979) Regularly firing neurones in the rat suprachiasmatic nucleus. Experientia 35: 1597-1598. 10.1007/BF01953215
16. Hamada T, LeSauter J, Venuti JM, Silver R (2001) Expression of Period genes: Rhythmic and nonrhythmic compartments of the suprachiasmatic nucleus pacemaker. Journal of Neuroscience 21: 7742-7750. 11567064
17. Harrington ME, Rahmani T, Lee CA (1993) Effects of damage to SCN neurons and efferent pathways on circadian activity rhythms of hamsters. Brain Research Bulletin 30: 655-669. 10.1016/0361-9230(93)90097-U
18. Hayashi H, Ishizuka S (1992) Chaotic nature of bursting discharges in the Onchidium: Pacemaker neurons. Journal of Theoretical Biology 156: 269-291
19. Hegger R, Kantz H (1997) Embedding of sequences of time intervals. Europhysics Letters 38: 267-272. 10.1209/epl/i1997-00236-0
20. Hoffman RE, Shi WX, Bunney BS (1995) Nonlinear sequence-dependent structure of nignal dopamine neuron interspike interval firing patterns. Biophysical Journal 69: 128-137. 7669889
21. Hoffman RE, Shi WX, Bunney BS (2001) Anatomic basis of sequence-dependent predictability exhibited by nigral dopamine neuron firing patterns. Synapse 39: 133-138. 10.1002/ 1098-2396(200102)39:2<133::AID-SYN4>3.0.CO;2-K
22. Inouye ST, Kawamura H (1979) Persistence of circadian rhythmicity in a mammalian hypothalamic "island" containing the suprachiasmatic nucleus. Proceedings of National Academy of Sciences USA 76: 5962-5966
23. Jagota A, de la Iglesia HO, Schwartz WJ (2000) Morning and evening circadian oscillations in the suprachiasmatic nucleus in vitro. Nature Neuroscience 3: 372-376. 10.1038/73943
24. Jeong J, Kim SY, Han SH (1998) Nonlinear analysis of chaotic dynamics underlying EEGs in patients with Alzheimer's disease. Electroencephalography and Clinical Neurophysiology 106: 220-228. 10.1016/S0013-4694(97)00079-5\
25. Jeong J, Peterson BS, Gore JC, Hoffman RE, Shi WX, Bunny BS (2000) Bursting as a source of nonlinear deterministic structure in interspike interval firing patterns of nigral dopamine neurons. Society for Neuroscience Abstract 26.
26. Jeong J, Gore JC, Peterson BS (2002) A method for determinism in short time series, and its application to stationary EEG. IEEE Trans Biomed Eng 49(11): 1374-1379. 10.1109/TBME.2002.804581
27. Jeong J, Shi WX, Hoffman RE, Gore JC, Bunny BS, Peterson BS. The origin of nonlinear determinism in interspike interval firing patterns of nigral dopamine neurons (submitted).
28. Kantz H, Schreiber T (1995) Dimension estimates and physiological data. Chaos 5(1): 143-154. 10.1063/1.166096
29. Kantz H, Schreiber T (1997) Nonlinear time series analysis. Cambridge nonlinear science series 7. Cambridge university press, pp. 72-75.
30. Kennel MB, Brown R, Abarbanel HDI (1992) Determining embedding dimension for phase-space reconstruction using a geometrical construction. Physical Review A 45: 3403-3411. 10.1103/PhysRevA.45.3403
31. Lee HS, Billings HJ, Lehman MN (2003) The suprachiasmatic nucleus: A clock of multiple components. Journal of Biology Rhythms 18: 435-449. 10.1177/0748730403259106
32. Lewis J, Glass L (1992) Nonlinear dynamics and symbolic dynamics of neural networks. Neural Computation 4: 621-642
33. Liu C, Weaver DR, Strogatz SH, Reppert SM (1997) Cellular construction of a circadian clock: Period determination in the suprachiasmatic nuclei. Cell 91: 855-860. 10.1016/S0092-8674(00)80473-0
34. Lontin A (1993) Nonlinear forecasting of spike trains from sensory neurons. International Journal of Bifurcation and Chaos 3: 651-661. 10.1142/S0218127493000556
35. Lovejoy LP, Shepard PD, Canavier CC (2001) Apamin-induced irregular firing in vitro and irregular single-spike firing observed in vivo in dopamine neurons is chaotic. Neuroscience 104: 829-840. 10.1016/ S0306-4522(01)00121-X
36. Mckenna TM, Mcmullen TA, Shlesinger MF (1994) The brain as a dynamic physical system. Neuroscience 60: 587-605. 10.1016/0306-4522(94)90489-8
37. Meijer JH, Rietveld WJ (1989) Neurophysiology of the suprachiasmatic circadian pacemaker in rodents. Physiological Reviews 69: 671-707 2664825
38. Moga MM, Moore RY (1997) Organization of neural inputs to the suprachiasmatic nucleus in the rat. Journal of Comparative Neurology 389: 508-534. 10.1002/ (SICI)1096-9861(19971222)389:3<508::AID-CNE11>3.0.CO;2-H
39. Moore RY, Silver R (1998) Suprachiasmatic nucleus organization. Chronobiology International 15: 475-487. 9787937
40. Moore RY (1996) Entrainment pathways and the functional organization of the circadian system. Progress in Brain Research 111: 103-119 8990910
41. Moore RY, Speh JC (1993) GABA is the principal neurotransmitter of the circadian system. Neuroscience Letter 150: 112-116. 10.1016/ 0304-3940(93)90120-A
42. Morin LP (1994) The circadian visual system. Brain Research Reviews 19: 102-127
43. Mpitsos GJ, Burton RM Jr, Creech HC, Soinila SO (1998) Evidence for chaos in spike trains of neurons that generate rhythmic motor patterns. Brain Research Bulletin 21: 529-538. 10.1016/0361-9230(88)90169-4
44. Newman GC, Hospod FE, Patlak CS, Moore RY (1992) Analysis of in vitro glucose utilization in a circadian pacemaker model. Journal of Neuroscience 12: 2015-2021. 1607926
45. Okamura H, Berod A, Julien JF, Geffard M, Kitahama K, Mallet J, Bobillier P (1989) Demonstration of GABAergic cell bodies in the suprachiasmatic nucleus: In situ hybridization of glutamic acid decarboxylase (GAD) mRNA and immunocytochemistry of GAD and GABA. Neuroscience Letter 102: 131-136
46. Pennartz CM, De Jeu MT, Geurtsen AM, Sluiter AA, Hermes ML (1998) Electrophysiological and morphological heterogeneity of neurons in slices of rat suprachiasmatic nucleus. Journal of Physiology 506: 775-793. 10.1111/j.1469-7793.1998.775bv.x
47. Rabinovich MI, Abarbanel HID (1998) The role of chaos in neural systems. Neuroscience 87: 5-14. 10.1016/S0306-4522(98)00091-8
48. Rapp PE, Albano AM, Schmah TI, Farwell LA (1993) Filtered noise can mimic low-dimensional chaotic attractors. Physical Review E 47: 2289-2297. 10.1103/PhysRevE.47.2289
49. Rapp PE, Zimmerman ID, Vining EP, Cohen N, Albano AM, Jimenez-Montano MA (1994) The algorithmic complexity of neural spike trains increases during focal seizures. Journal of Neuroscience 14: 4731-4739. 8046447
50. Rapp PE, Zimmermann I, Albano A, Deguzman G (1985) Dynamics of spontaneous neural activity in the simian motor cortex. Physics Letter A 110: 335-338. 10.1016/0375-9601(85)90786-8
51. Reppert SM, Weaver DR (2002) Coordination of circadian timing in mammals. Nature 418: 935-941. 10.1038/nature00965
52. Reppert SM, Weaver DR (2001) Molecular analysis of mammalian circadian rhythms. Annual Reviews of Physiololgy 63: 647-676. 10.1146/ annurev.physiol.63.1.647
53. Rusak B (1977) The role of the suprachiasmatic nuclei in the generation of circadian rhythms in the golden hamster. Journal of Comparative Physiology 118: 145-164. 10.1007/BF00611819
54. Sauer T (1994) Reconstruction of dynamical systems from interspike intervals. Physical Review Letters 72: 3811-3814. 10.1103/ PhysRevLett.72.3811
55. Schaap J, Bos NP, de Jeu MT, Geurtsen AM, Meijer JH, Pennartz CM (1999) Neurons of the rat suprachiasmatic nucleus show a circadian rhythm in membrane properties that is lost during prolonged whole-cell recording. Brain Research 815: 154-166. 10.1016/S0006-8993(98)01025-7
56. Schaap J, Pennartz CM, Meijer JH (2003) Electrophysiology of the circadian pacemaker in mammals. Chronobiology International 20: 171-188. 10.1081/CBI-120019311
57. Schiff SJ, Jerger K, Chang T, Sauer T, Aitken PG (1994) Stochastic versus deterministic variability in simple neuronal circuits: II. Hippocampal slice. Biophysical Journal 67: 684-691. 7948681
58. Schreiber T, Schmitz A (2000) Surrogate data methods. Physica D 142: 346-382. MR1771907
59. Schwartz WJ, Gross RA, Morton MT (1987) The suprachiasmatic nuclei contain a tetrodotoxin-resistant circadian pacemaker. Proceedings of National Academy of Sciences USA 84: 1694-1698
60. Segundo JP (2003) Nonlinear Dynamics of Point Process Systems and Data. International Journal of Bifurcation and Chaos 13: 2035-2116. 10.1142/ S0218127403007886
61. Shadlen MN, Newsome WT (1998) The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding. Journal of Neuroscience 18: 3870-3896. 9570816
62. Shen Y, Olbrich E, Achermann P, Meier PF (2003) Dimensional complexity and spectral properties of the human sleep EEG. Clinical Neurophysiology 114: 199-209. 10.1016/S1388-2457(02)00338-3
63. Shibata S, Oomura Y, Hattori K, Kita H (1984) Responses of suprachiasmatic nucleus neurons to optic nerve stimulation in rat hypothalamic slice preparation. Brain Research 302: 83-89. 10.1016/ 0006-8993(84)91287-3
64. Shirakawa T, Honma S, Honma K (2001) Multiple oscillators in the suprachiasmatic nucleus. Chronobiology International 18: 371-387. 10.1081/CBI-100103962
65. Softky WR, Koch C (1993) The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs. Journal of Neuroscience 13: 334-350. 8423479
66. Suzuki H, Aihara K, Murakami J, Shimozawa T (2000) Analysis of neural spike trains with interspike interval reconstruction. Biological Cybernetics 82: 305-311. 10.1007/s004220050584
67. Takens F (1981) Detecting strange attractors in turbulence in dynamical systems and turbulence. Lecture Notes in Mathematics, 898: 366-381.
68. Theiler J (1986) Spurious dimensions from correlation algorithms applied to limited time-series data. Physical Review A 34: 2427-2432. 10.1103/ PhysRevA.34.2427
69. Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD (1992) Testing for nonlinearity in time series: The method of surrogate data. Physica D 58: 77-94
70. Troyer TW, Miller KD (1997) Physiological gain leads to high ISI variability in a simple model of a cortical regular spiking cell. Neural Computation 9: 971-983. 9188190
71. van Esseveldt KE, Lehman MN, Boer GJ (2000) The suprachiasmatic nucleus and the circadian time-keeping system revisited. Brain Research Reviews 33: 34-77. 10.1016/S0165-0173(00)00025-4
72. Wan YH, Jian Z, Hu SJ, Xu H, Yang HJ, Duan YB (2000) Detection of determinism within time series of irregular burst firing from the injured sensory neuron. Neuroreport 11: 3295-3298. 11043567
73. Welsh DK, Logothetis DE, Meister M, Reppert SM (1995) Individual neurons dissociated from rat suprachiasmatic nucleus express independently phased circadian firing rhythms. Neuron 14: 697-706. 10.1016/ 0896-6273(95)90214-7