Desynchronization in networks of globally coupled neurons with dendritic dynamics

Journal of Biological Physics

Volumn 32, Issue 3-4, 2006, Pages 307-333

  Majtanik, Milan ^a   Dolan, Kevin ^a   Tass, Peter A ^a,b,c  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b UNIVERSITY OF COLOGNE   (Germany)

^c Brain Imaging Center West   (Germany)

Author keywords

Deep brain stimulation; Dendritic dynamics; Desynchronization; Phase resetting; Phase synchronization

Indexed keywords

ARTICLE; CALIBRATION; CELL SYNCHRONIZATION; DENDRITE; NERVE CELL; NERVE CELL NETWORK; NERVE STIMULATION; NEUROMODULATION; OSCILLATOR; PRIORITY JOURNAL;

EID: 37849186369     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10867-006-9018-8     Document Type: Article

References (59)

1. Haken, H.: Advanced Synergetics. Springer, Berlin (1983)
2. Kuramoto, Y.: Chemical Oscillations, Waves, and Turbulence. Springer, Berlin (1984)
3. Steriade, H., Jones, E.G., Llinas, R.: Thalamic Oscillations and Signaling. Wiley, New York (1990)
4. Tass, P.A.: Phase Resetting in Medicine and Biology. Springer, Berlin (1999)
5. Winfree, A.T.: The Geometry of Biological Time. Springer, Berlin Heildeberg New York (1980)
6. Eckhorn, E., Bauer, R., Jordan, W., Brosch, M., Kruse, W., Munk, M.: Coherent oscillations: a mechanism of feature linking in visual cortex?. Biol. Cybern. 60, 121-130 (1988)
7. Gray, C., Singer, W.: Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc. Natl. Acad. Sci. USA 86, 1698-1702 (1989)
8. Singer, W., Gray, C.: Visual feature integration and the temporal correlation hypothesis. Annu. Rev. Neurosci. 18, 555-586 (1995)
9. Tass, P.A.: Desynchronization of brain rhythms with soft phase-resetting techniques. Biol. Cybern. 87, 102-115 (2002a)
10. Elble, R., Koller, W.: Tremor. The John Hopkins University Press, Baltimore, Maryland (1990)
11. Lenz, F., Kwan, H., Martin, R., Tasker, R., Dostrovsky, J., Lenz, Y.: Single unit analysis of the human ventral thalamic nuclear group. Tremor-related activity in functionally identified cells. Brain 117, 531-543 (1994)
12. Llinas, R., Jahnsen, H.: Electrophysiology of mammalian thalamic neurons in vitro. Nature 297, 406-408 (1982)
13. Pare, D., Curro'Dossi, R., Steriade, M.: Neuronal basis of the Parkinsonian resting tremor: a hypothesis and its implications for treatment. Neuroscience 35, 217-226 (1990)
14. Nini, A., Feingold, A., Slovin, H., Bergman, H.: Neurons in the globus pallidus do not show correlated activity in the normal monkey, but phase-locked oscillations appear in the MPTP model of parkinsonism. J. Neurophysiol. 74, 1800 (1995)
15. Benabid, A., Pollak, P., Gervason, C., Hoffman, D., Gao, D.M., Hommel, M., Perret, J.E., de Rougemont, J.: Long-term suppression of tremor by chronic stimulation of the ventral intermediate thalamic nucleus. Lancet 337(8738), 403-406 (1991)
16. Blond, S., Caparros-Lefebvre, D., Parker, F., Assaker, R., Petit, H., Guieu, J.D., Christiaens, J.L.: Control of tremor and involuntarymovement disorders by chronic stimulation of the ventral intermediate thalamic nucleus. J. Neurosurg. 77, 62-68 (1992)
17. McInryre, C., Savasta, M., Kerkerian-Le Goff, K., Vitek, J.: Uncovering the mechanism(s) of action of deep brain stimulation: activation, inhibition, or both. Clin. Neurophysiol. 115, 1239-1248 (2004)
18. Wielepp, J., Burgunder, J., Pohle, T., Ritter, E., Kinser, J., Krauss, J.: Deactivation of thalomocortical activity is responsible for suppression of Parkinsonian tremor by thalamic stimulation: a 99mTc-ECD SPECT study. Clin. Neurol. Neurosurg. 103, 228-231 (2001)
19. Volkmann, J.: Deep brain stimulation for the treatment of Parkinson's disease. J. Clin. Neurophysiol. 21, 6-17 (2004)
20. Tass, P.A.: Desynchronizing double-pulse phase resetting and application to deep brain stimulation. Biol. Cybern. 85, 343-354 (2001a)
21. Tass, P.A.: Effective desynchronization by means of double-pulse phase resetting. Europhys. Lett. 53(1), 15 (2001b)
22. Tass, P.A.: Effective desynchronization with a resetting pulse train followed by a single pulse. Europhys. Lett. 55(2), 171-177 (2001c)
23. Tass, P.A.: Effective desynchronization with a stimulation technique based on soft phase resetting. Europhys. Lett. 57(2), 164-170 (2002b)
24. Tass, P.A.: A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations. Biol. Cybern. 89, 81-88 (2003)
25. Hauptmann, C., Tass, P.: Therapeutic rewiring by means of desynchronizing stimulation. BioSystems (in press)
26. Ermentrout, B.: An adaptive model for synchrony in the firefly Pteroptyx malace. J. Math. Biol. 29(6), 571-585 (1991a)
27. Ermentrout, B., Kopell, N.: Multiple pulse interactions and averaging in systems of coupled neural oscillators. J. Math. Biol. 29, 195-217 (1991b)
28. Hansel, D., Mato, G., Meunier, C.: Clustering and switching in globally coupled phase oscillators. Phys. Rev. E. 48(5), 3470-3477 (1993)
29. Magee, J., Johnston, D.: Plasticity of dendritic function. Curr. Opin. Neurobiol. 15, 334-342 (2005)
30. Rattay, F.: The basic mechanism for the electrical stimulation of the nervous system. Neuroscience 89(2), 335-346 (1999)
31. McIntyre, C., Grill, W., Sherman, D., Thakor, N.: Cellular effects of deep brain stimulation: model-based analysis of activation and inhibition. J. Neurophsiol. 91, 1457-1469 (2004)
32. Braun, H., Dewald, M., Schäfer, K., Voigt, K., Pei, X., Dolan, K., Moss, F.: Low-dimensional dynamics in sensory biology 2: facial cold receptors of the rat. J. Comp. Neurosci. 7, 17-32 (1999)
33. Braun, H., Schäfer, K., Voigt, K., Peters, R., Bretschneider, F., Pei, X., Wilkens, L., Moss, F.: Low-dimensional dynamics in sensory biology 1: thermally sensitive electroreceptors of the catfish. J. Comp. Neurosci. 4, 335-347 (1997)
34. Andersen, P., Eccles, J.C., Loyning, Y.: Location of postsynaptic inhibitory synapses on hippocampal pyramids. J. Neurophysiol. 27, 592-607 (1964a)
35. Andersen, P., Eccles, J.C., Loyning, Y.: Pathway of postsynaptic inhibition in the hippocampus. J. Neurophysiol. 27, 608-619 (1964b)
36. Hauptmann, C., Mackey, M.C.: Stimulus dependent onset latency of the inhibitory recurrent activity. Biol. Cybern. 88, 459-467 (2003)
37. Waelti, P., Dickinson, A., Schultz, W.: Dopamine responses comply with basic assumptions of formal learning theory. Nature 412, 43-48 (2002)
38. Dolan, K., Majtanik, M., Tass, P.A.: Phase resetting and transient desynchronization in networks of globally coupled phase oscillators with inertia. Physica, D 211, 128-138 (2005)
39. Haken, H.: Brain Dynamics. Springer, Berlin (2002)
40. Best, E.N.: Null space in the Hodgkin-Huxley equations. Biophys. J. 27, 87-104 (1979)
41. Guttman, R., Lewis, S., Rinzel, J.: Control of repetitive firing in squid axon membrane as a model for a neuroneoscillator. J. Physiol. (London) 395, 377-395 (1980)
42. Haken, H.: Effect of delay on phase locking in a pulse coupled neural network. Eur. Phys. J. B 18, 545-550 (2000)
43. Acebron, J., Spigler, R.: Adaptive frequency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators. Phys. Rev. Lett. 81, 2229-2232 (1998)
44. Bonilla, L.: Chapman-Enskong method and synchronization of globally coupled oscillators. Phys. Rev. E. 62(4), 4862-4868 (2000)
45. Hong, H., Choi, M.: Phase-synchronization and noise-induced resonance in systems of coupled oscillators. Phys. Rev. E. 62(5), 6462-6468 (2000)
46. Hong, H., Jeon, G., Choi, M.: Spontaneous phase oscillation induced by inertia and time delay. Phys. Rev. E. 65, 026208-1-5 (2002)
47. Acebron, J., Bonilla, R., Spigler, L.L.: The Kuramoto model: a simple paradigm for synchronization phenomena. Rev. Mod. Phys. 77(1), 137-185 (2005)
48. Milnor, J.: Topology from the Differentiable Viewpoint. University Press of Virginia, Charlottesville, Virginia (1965)
49. Zhai, Y., Kiss, I., Tass, P., Hudson, J.: Desynchronization of coupled electrochemical oscillators with pulse stimulation. Phys. Rev. E. 71, 065202 (2005)
50. Raghavachari, S., Kahana, M., Rizzuto, D., Caplan, J.B., Kirschen, M., Burgeois, B., Madsen, J., Lisman, J.: Gating of human theta oscillations by a working memory task. J. Neurosci. 21(9), 3175-3183 (2001)
51. Buzsaki, G., Draghun, A.: Neuronal oscillations in cortical networks. Science 304, 1926-1929 (2004)
52. Lisman, J., Spruston, N.: Postsynaptic depolarization requirements for LTP and LTD: a critique of spike-timing dependent plasticity. Nature Neurosci. 8(7), 839-841 (2005)
53. Bland, B.: The physiology and pharmacology of hippocampal formation theta rhythms. Prog. Neurobiol. 26, 1-54 (1986)
54. O'Keefe, J., Recce, M.: Phase relationship between hippocampal place units and the EEG theta rhythm. Hippocampus 3, 317-330 (1993)
55. Vanderwolf, C.: Hippocampal electrical activity and voluntary movement of the rat. Electroenceph. Clin. Neurophysiol. 26, 407-418 (1969)
56. Jensen, O., Lisman, J.: Position reconstruction from an ensemble of hippocampal place cells: contribution of theta phase coding. J. Neurophysiol. 83, 2602-2609 (2000)
57. Sarnthein, J., Petsche, H., Rappelsberger, P., Shaw, G., von Stein, A.: Synchronization between prefrontal and posterior association cortex during human working memory. Proc. Natl. Acad. Sci. USA 95, 7092-7096 (1998)
58. Tesche, C., Karhu, J.: Theta oscillations index human hippocampal activation during working memory task. Proc. Natl. Acad. Sci. USA 97(2), 919-924 (2000)
59. Sternberg, S.: High-speed scanning in human memory. Science 153, 652-654 (1966)