Optimal number of stimulation contacts for coordinated reset neuromodulation

Frontiers in Neuroengineering

Volumn , Issue JUL, 2013, Pages

  Lysyansky, Borys ^a   Popovych, Oleksandr V ^a   Tass, Peter A ^a,b  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

^b UNIVERSITY OF COLOGNE   (Germany)

Author keywords

Coordinated reset stimulation; Electrical stimulation; Neuronal synchronization; Parameter optimization; Synchronization control

Indexed keywords

ARTICLE; COORDINATED RESET NEUROMODULATION; ELECTRIC CURRENT; ELECTROSTIMULATION; MATHEMATICAL COMPUTING; NERVE STIMULATION; NERVOUS SYSTEM ELECTROPHYSIOLOGY; NEUROMODULATION; NEURONAL SYNCHRONIZATION; STIMULUS RESPONSE;

EID: 84879704519     PISSN: 16626443     EISSN: None     Source Type: Journal    
DOI: 10.3389/fneng.2013.00005     Document Type: Article

References (82)

1. Acebrón, J. A., Bonilla, L. L., Pérez, C. J., and Ritort, F. (2005). The Kuramoto model: A simple paradigm for synchronization phenomena. Rev. Mod. Phys. 77, 137-185.
2. Adamchic, I., Toth, T., Hauptmann, C., and Tass, P. A. (2013). Reversing pathologically increased electroencephalogram power by acoustic coordinated reset neuromodulation. Human Brain Mapping (in press).
3. Amtage, F., Henschel, K., Schelter, B., Vesper, J., Timmer, J., Lücking, C. H., and Hellwig, B. (2008). Tremor-correlated neuronal activity in the subthalamic nucleus of Parkinsonian patients. Neurosci. Lett. 442, 195-199.
4. Benabid, A., Pollak, P., Gervason, C., Hoffmann, D., Gao, D., Hommel, M., Perret, J., and de Rougemount, J. (1991). Longterm suppression of tremor by chronic stimulation of ventral intermediate thalamic nucleus. Lancet 337(8738), 403-406.
5. Benazzouz, A., Gross, C., Féger, J., Boraud, T., and Bioulac, B. (1993). Reversal of rigidity and improvement in motor performance by subthalamic high-frequency stimula632 tion in MPTP-treated monkeys. Eur. J. Neurosci. 5, 382-389.
6. Bergman, H., Feingold, A., Nini, A., Raz, A., Slovin, H., Abeles, M., and Vaadia, E. (1998). Physiological aspects of information processing in the basal ganglia of normal and parkinsonian primates. TRENDS Neurosci. 21, 32-38.
7. Bergman, H., Wichmann, T., and DeLong, M. R. (1990). Reversal of experimental parkinsonism by lesions of the subthalamic nucleus. Science 249, 1436-1438.
8. Bergman, H., Wichmann, T., Karmon, B., and DeLong, M. R. (1994). The primate subthalamic nucleus. II. neuronal activity in the MPTP model of parkinsonism. J. Neurophysiol. 72(2), 507-520.
9. Best, E. N. (1979). Null space in the Hodgkin-Huxley equations. Biophys. J. 27, 87-104.
10. Beurrier, C., Bioulac, B., Audin, J., and Hammond, C. (2001). High-frequency stimula643 tion produces a transient blockade of voltage-gated currents in subthalamic neurons. J. Neurophysiol. 85(4), 1351-1356.
11. Bi, G. Q., and Poo, M. (1998). Synaptic modifications in cultured hippocampal neurons: Dependence on spike timing, synaptic strength, and postsynaptic cell type. J. Neurosci. 18(24), 10464-10472.
12. Blond, S., Caparros-Lefebvre, D., Parker, F., Assaker, R., Petit, H., Guieu, J.-D., and Christiaens, J.-L. (1992). Control of tremor and involuntary movement disorders by chronic stereotactic stimulation of the ventral intermediate thalamic nucleus. J. Neuro651 surg. 77, 62-68.
13. Brandt, M. E. (1997). Visual and auditory evoked phase resetting of the alpha EEG. Int. J. Psychophysiol. 26(1-3), 285-298.
14. Brette, R., and Gerstner, W. (2005). Adaptive exponential integrate-and-fire model as an effective description of neuronal activity. J. Neurophysiol. 94, 3637-3642.
15. Butson, C. R., Maks, C. B., and McIntyre, C. C. (2006). Sources and effects of electrode impedance during deep brain stimulation. Clin. Neurophysiol. 117, 447-454.
16. Butson, C. R., and McIntyre, C. C. (2006). Role of electrode design on the volume of tissue activated during deep brain stimulation. J. Neural Eng. 3, 1-8.
17. Chaturvedi, A., Butson, C. R., Lempka, S. F., Cooper, S. E., and McIntyre, C. C. (2010). Patient-specific models of deep brain stimulation: Influence of field model complexity on neural activation predictions. Brain Stim. 3, 65-77.
18. Ebert, B. M. (2012). Control of synchronization via electrical stimulation in a large-scale neuronal network model. PhD thesis, University of Cologne.
19. Ehret, G., and Romand, R., editors (1997). The central auditory system. New York: Oxford University Press.
20. Ermentrout, B. (1996). Type I membranes, phase resetting curves, and synchrony. Neural Comp. 8, 979-1001.
21. Farries, M. A., and Wilson, C. J. (2012a). Biophysical basis of the phase response curve of subthalamic neurons with generalization to other cell types. J. Neurophysiol. 108, 1838-1855.
22. Farries, M. A., and Wilson, C. J. (2012b). Phase response curves of subthalamic neurons measured with synaptic input and current injection. J. Neurophysiol. 108, 1822-1837.
23. Filali, M., Hutchison, W. D., Palter, V. N., Lozano, A. M., and Dostrovsky, J. O. (2004). Stimulation-induced inhibition of neuronal firing in human subthalamic nucleus. Exp. Brain. Res. 156(3), 274-281.
24. FitzHugh, R. (1961). Impulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1(6), 445-466.
25. Hairer, E., Noersett, S. P., and Wanner, G. (1993). Solving ordinary differential equa680 tions I, Nonstiff problems, 2nd edition, volume 8 of Springer series in computational mathematics. Berlin: Springer.
26. Haken, H. (1983). Advanced synergetics. Berlin: Springer.
27. Hammond, C., Bergman, H., and Brown, P. (2007). Pathological synchronization in Parkinson's disease: networks, models and treatments. TRENDS Neurosci. 30(7), 357-364.
28. Hashimoto, T., Elder, C. M., Okun, M. S., Patrick, S. K., and Vitek, J. L. (2003). Stimulation of the subthalamic nucleus changes the firing pattern of pallidal neurons. J. Neurosci. 23, 1916-1923.
29. Hauptmann, C., Popovych, O., and Tass, P. A. (2005). Effectively desynchronizing deep brain stimulation based on a coordinated delayed feedback stimulation via several sites: a computational study. Biol. Cybern. 93, 463-470.
30. Hauptmann, C., and Tass, P. A. (2007). Therapeutic rewiring by means of desynchro693 nizing brain stimulation. BioSystems 89, 173-181.
31. Hauptmann, C., and Tass, P. A. (2009). Cumulative and after-effects of short and weak coordinated reset stimulation: a modeling study. J. Neural Eng. 6, 016004.
32. Izhikevich, E. M. (2007). Dynamical Systems in Neuroscience: The Geometry of Ex697 citability and Bursting. Cambridge, MA: The MIT Press.
33. Jahangiri, A., and Durand, D. M. (2011). Phase resetting analysis of high potassium epileptiform activity in ca3 region of the rat hippocampus. Int. J. Neural Syst. 21(2), 127-138.
34. Kumar, R., Lozano, A. M., Sime, E., and Lang, A. E. (2003). Long-term follow-up of thalamic deep brain stimulation for essential and parkinsonian tremor. Neurology 61(11), 1601-1604.
35. Kuramoto, Y. (1984). Chemical oscillations, waves, and turbulence. Berlin Heidelberg New York: Springer.
36. Lenz, F. A., Kwan, H. C., Martin, R. L., Tasker, R. R., Dostrovsky, J. O., and Lenz, Y. E. (1994). Single unit analysis of the human ventral thalamic nuclear group. tremor-related activity in functionally identified cells. Brain 117, 531-543.
37. Levy, R., Aschby, P., Hutchinson, W. D., Lang, A. E., Lozano, A. M., and Dostrovsky, J. O. (2002). Dependence of subthalamic nucleus oscillations on movement and dopamine in Parkinson's disease. Brain 125, 1196-1209.
38. Limousin, P., Speelman, J. D., Gielen, F., and Janssens, M. (1999). Multicentre Eu713 ropean study of thalamic stimulation in parkinsonian and essential tremor. J. Neurol. Neurosurg. Psychiatry 66, 289-296.
39. Lücken, L., Yanchuk, S., Popovych, O. V., and Tass, P. A. (2013). Desynchroniza716 tion boost by non-uniform coordinated reset stimulation in ensembles of pulse-coupled neurons. Front. Comput. Neurosci. 7, 63.
40. Lysyansky, B., Popoych, O. V., and Tass, P. A. (2011). Desynchronizing anti-resonance effect of m: n on-off coordinated reset stimulation. J. Neural Eng. 8, 036019.
41. Markram, H., Lübke, J., Frotscher, M., and Sakmann, B. (1997). Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science 275, 213-215.
42. McIntyre, C. C., Savasta, M., Kerkerian-Le Goff, L., and Vitek, J. L. (2004). Uncovering the mechanism(s) of action of deep brain stimulation: activation, inhibition, or both. Clin. Neurophysiol. 115, 1239-1248.
43. Meissner, W., Leblois, A., Hansel, D., Bioulac, B., Gross, C. E., Benazzouz, A., and Boraud, T. (2005). Subthalamic high frequency stimulation resets subthalamic firing and reduces abnormal oscillations. Brain 128, 2372-2382.
44. Nagumo, J., Arimoto, S., and Yoshizawa, S. (1962). An active pulse transmission line simulating nerve axon. Proc. IRE 50(10), 2061-2071.
45. Naud, R., Marcille, N., Clopath, C., and Gerstner, W. (2008). Firing patterns in the adaptive exponential integrate-and-fire model. Biol. Cybern. 99, 335-347.
46. Netoff, T. I., Banks, M. I., Dorval, A. D., Acker, C. D., Haas, J. S., Kopell, N., and White, J. A. (2005). Synchronization in hybrid neuronal networks of the hippocampal formation. J. Neurophysiol. 93(3), 1197-1208.
47. Nini, A., Feingold, A., Slovin, H., and Bergman, H. (1995). 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, 1800-1805.
48. Pikovsky, A., Rosenblum, M., and Kurths, J. (2001). Synchronization, a universal con739 cept in nonlinear sciences. Cambridge: Cambridge University Press.
49. Popovych, O., Hauptmann, C., and Tass, P. A. (2005). Effective desynchronization by nonlinear delayed feedback. Phys. Rev. Lett. 94, 164102.
50. Popovych, O. V., Hauptmann, C., and Tass, P. A. (2006). Control of neuronal synchrony by nonlinear delayed feedback. Biol. Cybern. 95, 69-85.
51. Popovych, O. V., and Tass, P. A. (2012). Desynchronizing electrical and sensory coor745 dinated reset neuromodulation. Front. Hum. Neurosci. 6, 58.
52. Pyragas, K., Popovych, O. V., and Tass, P. A. (2007). Controlling synchrony in os747 cillatory networks with a separate stimulation-registration setup. Europhys. Lett. 80, 40002.
53. Richardson, K. A., Gluckman, B. J., Weinstein, S. L., Glosch, C. E., Moon, J. B., Gwinn, R. P., Gale, K., and Schiff, S. J. (2003). In vivo modulation of hippocampal epileptiform activity with radial electric fields. Epilepsia 44(6), 768-777.
54. Rodriguez-Oroz, M. C., Obeso, J. A., Lang, A. E., Houeto, J.-L., Pollak, P., Rehncrona, S., Kulisevsky, J., Albanese, A., Volkmann, J., Hariz, M. I., Quinn, N. P., Speelman, J. D., Guridi, J., Zamarbide, I., Gironell, A., Molet, J., Pascual-Sedano, B., Pidoux, B., Bonnet, A. M., Agid, Y., Xie, J., Benabid, A.-L., Lozano, A. M., Saint-Cyr, J., Romito, L., Contarino, M. F., Scerrati, M., Fraix, V., and Blercom, N. V. (2005). Bilateral deep brain stimulation in Parkinson's disease: a multicentre study with 4 years follow-up. Brain 128(10), 2240-2249.
55. Rosenblum, M. G., and Pikovsky, A. S. (2004). Controlling synchronization in an en760 semble of globally coupled oscillators. Phys. Rev. Lett. 92, 114102.
56. Schultheiss, N. W., Edgerton, J. R., and Jaeger, D. (2010). Phase response curve analysis of a full morphological globus pallidus neuron model reveals distinct perisomatic and dendritic modes of synaptic integration. J. Neurosci. 30(7), 2767-2782.
57. Silchenko, A. N., Adamchic, I., Hauptmann, C., and Tass, P. A. (2013). Impact of acoustic coordinated reset neuromodulation on effective connectivity in a neural network of phantom sound. NeuroImage 77, 133-147.
58. Smirnov, D. A., Barnikol, U. B., Barnikol, T. T., Bezruchko, B. P., Hauptmann, C., Bührle, C., Maarouf, M., Sturm, V., Freund, H.-J., and Tass, P. A. (2008). The genera769 tion of Parkinsonian tremor as revealed by directional coupling analysis. Europhys. Lett. 83, 20003.
59. Stiefel, K. M., Gutkin, B. S., and Sejnowski, T. J. (2008). Cholinergic neuromodulation changes phase response curve shape and type in cortical pyramidal neurons. PLoS ONE 3(12), e3947.
60. Strogatz, S. H. (2000). From Kuramoto to Crawford: exploring the onset of synchro775 nization in populations of coupled oscillators. Physica D 143(1-4), 1-20.
61. Strogatz, S. H. (2003). Sync: the emerging science of spontaneous order. New York: Hyperion Books.
62. Tass, P. A. (1999). Phase resetting in medicine and biology: stochastic modelling and data analysis. Berlin: Springer.
63. Tass, P. A. (2003a). Desynchronization by means of a coordinated reset of neural sub781 populations-a novel technique for demand-controlled deep brain stimulation. Prog. Theor. Phys. Suppl. 150, 281-296.
64. Tass, P. A. (2003b). A model of desynchronizing deep brain stimulation with a demand784 controlled coordinated reset of neural subpopulations. Biol. Cybern. 89, 81-88.
65. Tass, P. A., Adamchic, I., Freund, H.-J., von Stackelberg, T., and Hauptmann, C. (2012a). Counteracting tinnitus by acoustic coordinated reset neuromodulation. Restor. Neurol. Neurosci. 30, 137-159.
66. Tass, P. A., and Hauptmann, C. (2007). Therapeutic modulation of synaptic connectivity with desynchronizing brain stimulation. Int. J. Psychophysiol. 64, 53-61.
67. Tass, P. A., and Hauptmann, C. (2009). Anti-kindling achieved by stimulation targeting slow synaptic dynamics. Restorative Neurology and Neuroscience 27, 591-611.
68. Tass, P. A., Hauptmann, C., and Popovych, O. V. (2006). Development of therapeu793 tic brain stimulation techniques with methods from nonlinear dynamics and statistical physics. Int. J. Bifurc. Chaos 16(7), 1889-1911.
69. Tass, P. A., and Majtanik, M. (2006). Long-term anti-kindling effects of desynchronizing brain stimulation: a theoretical study. Biol. Cybern. 94(1), 58-66.
70. Tass, P. A., and Popovych, O. V. (2012). Unlearning tinnitus-related cerebral synchrony with acoustic coordinated reset stimulation: theoretical concept and modelling. Biol. Cybern. 106, 27-36.
71. Tass, P. A., Qin, L., Hauptmann, C., Dovero, S., Bezard, E., Boraud, T., and Meissner, W. G. (2012b). Coordinated reset neuromodulation has sustained effects in parkinsonian non-human primates. Ann. Neurol. 72(5), 816-820.
72. Tass, P. A., Silchenko, A. N., Hauptmann, C., Barnikol, U. B., and Speckmann, E.-J. (2009). Long-lasting desynchronization in rat hippocampal slice induced by coordinated reset stimulation. Phys. Rev. E 80, 011902.
73. Tateno, T., and Robinson, H. P. C. (2007). Phase resetting curves and oscillatory stability in interneurons of rat somatosensory cortex. Biophys. J. 92, 683-695.
74. Terman, D. (2005). An introduction to dynamical systems and neuronal dynamics. In Tutorials in Mathematical Biosciences I volume 1860 of Lecture Notes in Mathematics. (Berlin Heidelberg: Springer), 21-68.
75. Terman, D., Rubin, J. E., Yew, A. C., and Wilson, C. J. (2002). Activity patterns in a model for the subthalamopallidal network of the basal ganglia. J. Neurosci. 22, 2963-2976.
76. Thorne, J. D., De Vos, M., Viola, F. C., and Debener, S. (2011). Cross-modal phase reset predicts auditory task performance in humans. J. Neurosci. 31(10), 3853-3861.
77. Timmermann, L., Gross, J., Dirks, M., Volkmann, J., Freund, H.-J., and Schnitzler, A. (2003). The cerebral oscillatory network of parkinsonian resting tremor. Brain 126, 199-212.
78. Touboul, J., and Brette, R. (2008). Dynamics and bifurcations of the adaptive exponen820 tial integrate-and-fire model. Biol. Cybern. 99, 319-334.
79. Tsubo, Y., Takada, M., Reyes, A. D., and Fukai, T. (2007). Layer and frequency depen822 dencies of phase response properties of pyramidal neurons in rat motor cortex. Eur. J. Neurosci. 25, 3429-3441.
80. Volkmann, J. (2004). Deep brain stimulation for the treatment of Parkinson's disease. J. Clin. Neurophysiol. 21, 6-17.
81. Winfree, A. T. (1977). Phase-control of neural pacemakers. Science 197, 761-763.
82. Winfree, A. T. (1980). The geometry of biological time. Berlin: Springer.