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Popovych OV, Lysyansky B, Rosenblum M, Pikovsky A, Tass PA (2017) Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation. PLoS One 12:e0173363 [PubMed]

References and models cited by this paper

References and models that cite this paper

Andres FG, Gerloff C (1999) Coherence of sequential movements and motor learning. J Clin Neurophysiol 16:520-7 [PubMed]
Benabid AL, Chabardes S, Mitrofanis J, Pollak P (2009) Deep brain stimulation of the subthalamic nucleus for the treatment of Parkinson's disease. Lancet Neurol 8:67-81 [Journal] [PubMed]
Benabid AL, Pollak P, Gervason C, Hoffmann D, Gao DM, Hommel M, Perret JE, de Rougemont J (1991) Long-term suppression of tremor by chronic stimulation of the ventral intermediate thalamic nucleus. Lancet 337:403-6 [PubMed]
Beudel M, Brown P (2016) Adaptive deep brain stimulation in Parkinson's disease. Parkinsonism Relat Disord 22 Suppl 1:S123-6 [Journal] [PubMed]
Britton TC, Thompson PD, Day BL, Rothwell JC, Findley LJ, Marsden CD (1993) Modulation of postural wrist tremors by magnetic stimulation of the motor cortex in patients with Parkinson's disease or essential tremor and in normal subjects mimicking tremor. Ann Neurol 33:473-9 [Journal] [PubMed]
Britton TC, Thompson PD, Day BL, Rothwell JC, Findley LJ, Marsden CD (1993) Modulation of postural tremors at the wrist by supramaximal electrical median nerve shocks in essential tremor, Parkinson's disease and normal subjects mimicking tremor. J Neurol Neurosurg Psychiatry 56:1085-9 [PubMed]
Bronte-Stewart H, Barberini C, Koop MM, Hill BC, Henderson JM, Wingeier B (2009) The STN beta-band profile in Parkinson's disease is stationary and shows prolonged attenuation after deep brain stimulation. Exp Neurol 215:20-8 [Journal] [PubMed]
Butson CR, McIntyre CC (2007) Differences among implanted pulse generator waveforms cause variations in the neural response to deep brain stimulation. Clin Neurophysiol 118:1889-94 [Journal] [PubMed]
Buzsáki G (2004) Large-scale recording of neuronal ensembles. Nat Neurosci 7:446-51 [Journal] [PubMed]
Cagnan H, Brittain JS, Little S, Foltynie T, Limousin P, Zrinzo L, Hariz M, Joint C, Fitzgerald J, Green AL, Aziz T, Brown P (2013) Phase dependent modulation of tremor amplitude in essential tremor through thalamic stimulation. Brain 136:3062-75 [Journal] [PubMed]
Carron R, Chaillet A, Filipchuk A, Pasillas-Lépine W, Hammond C (2013) Closing the loop of deep brain stimulation. Front Syst Neurosci 7:112 [Journal] [PubMed]
Deniau JM, Degos B, Bosch C, Maurice N (2010) Deep brain stimulation mechanisms: beyond the concept of local functional inhibition. Eur J Neurosci 32:1080-91 [Journal] [PubMed]
Dovzhenok A, Park C, Worth RM, Rubchinsky LL (2013) Failure of delayed feedback deep brain stimulation for intermittent pathological synchronization in Parkinson's disease. PLoS One 8:e58264 [Journal] [PubMed]
   Failure of Deep Brain Stimulation in a basal ganglia neuronal network model (Dovzhenok et al. 2013) [Model]
Eggermont JJ, Tass PA (2015) Maladaptive neural synchrony in tinnitus: origin and restoration. Front Neurol 6:29 [Journal] [PubMed]
Engel AK, Fries P, Singer W (2001) Dynamic predictions: oscillations and synchrony in top-down processing. Nat Rev Neurosci 2:704-16 [Journal] [PubMed]
Ferraye MU, Debû B, Fraix V, Xie-Brustolin J, Chabardès S, Krack P, Benabid AL, Pollak P (2008) Effects of subthalamic nucleus stimulation and levodopa on freezing of gait in Parkinson disease. Neurology 70:1431-7 [Journal] [PubMed]
Foutz TJ, McIntyre CC (2010) Evaluation of novel stimulus waveforms for deep brain stimulation. J Neural Eng 7:066008 [Journal] [PubMed]
Gerstner W, Kempter R, van Hemmen JL, Wagner H (1996) A neuronal learning rule for sub-millisecond temporal coding. Nature 383:76-81 [Journal] [PubMed]
Gradinaru V, Mogri M, Thompson KR, Henderson JM, Deisseroth K (2009) Optical deconstruction of parkinsonian neural circuitry. Science 324:354-9 [Journal] [PubMed]
Grahn PJ, Mallory GW, Khurram OU, Berry BM, Hachmann JT, Bieber AJ, Bennet KE, Min HK, Chang SY, Lee KH, Lujan JL (2014) A neurochemical closed-loop controller for deep brain stimulation: toward individualized smart neuromodulation therapies. Front Neurosci 8:169 [Journal] [PubMed]
Graupe D, Basu I, Tuninetti D, Vannemreddy P, Slavin KV (2010) Adaptively controlling deep brain stimulation in essential tremor patient via surface electromyography. Neurol Res 32:899-904 [Journal] [PubMed]
Haken H (1983) Advanced synergetics: Instability hierarchies of self-organizing systems and devices
Hammond C, Bergman H, Brown P (2007) Pathological synchronization in Parkinson's disease: networks, models and treatments. Trends Neurosci 30:357-64 [Journal] [PubMed]
Harnack D, Winter C, Meissner W, Reum T, Kupsch A, Morgenstern R (2004) The effects of electrode material, charge density and stimulation duration on the safety of high-frequency stimulation of the subthalamic nucleus in rats. J Neurosci Methods 138:207-16 [Journal] [PubMed]
Hauptmann C, Tass PA (2009) Cumulative and after-effects of short and weak coordinated reset stimulation: a modeling study. J Neural Eng 6:016004 [Journal] [PubMed]
Holt AB, Wilson D, Shinn M, Moehlis J, Netoff TI (2016) Phasic Burst Stimulation: A Closed-Loop Approach to Tuning Deep Brain Stimulation Parameters for Parkinson's Disease. PLoS Comput Biol 12:e1005011 [Journal] [PubMed]
Hosain MK, Kouzani A, Tye S (2014) Closed loop deep brain stimulation: an evolving technology. Australas Phys Eng Sci Med 37:619-34 [Journal] [PubMed]
Johnson LA, Nebeck SD, Muralidharan A, Johnson MD, Baker KB, Vitek JL (2016) Closed-Loop Deep Brain Stimulation Effects on Parkinsonian Motor Symptoms in a Non-Human Primate - Is Beta Enough? Brain Stimul 9:892-896 [Journal] [PubMed]
Johnson MD, Miocinovic S, McIntyre CC, Vitek JL (2008) Mechanisms and targets of deep brain stimulation in movement disorders. Neurotherapeutics 5:294-308 [Journal] [PubMed]
Kiss IZ, Rusin CG, Kori H, Hudson JL (2007) Engineering complex dynamical structures: sequential patterns and desynchronization. Science 316:1886-9 [Journal] [PubMed]
Kühn AA, Kempf F, Brücke C, Gaynor Doyle L, Martinez-Torres I, Pogosyan A, Trottenberg T, Kupsch A, Schneider GH, Hariz MI, Vandenberghe W, Nuttin B, Brown P (2008) High-frequency stimulation of the subthalamic nucleus suppresses oscillatory beta activity in patients with Parkinson's disease in parallel with improvement in motor performance. J Neurosci 28:6165-73 [Journal] [PubMed]
Kühn AA, Volkmann J (2017) Innovations in deep brain stimulation methodology. Mov Disord 32:11-19 [Journal] [PubMed]
Kuncel AM, Grill WM (2004) Selection of stimulus parameters for deep brain stimulation. Clin Neurophysiol 115:2431-41 [Journal] [PubMed]
Kuramoto Y (1984) Chemical oscillations, waves, and turbulence
LILLY JC, HUGHES JR, ALVORD EC, GALKIN TW (1955) Brief, noninjurious electric waveform for stimulation of the brain. Science 121:468-9 [PubMed]
Little S, Beudel M, Zrinzo L, Foltynie T, Limousin P, Hariz M, Neal S, Cheeran B, Cagnan H, Gratwicke J, Aziz TZ, Pogosyan A, Brown P (2016) Bilateral adaptive deep brain stimulation is effective in Parkinson's disease. J Neurol Neurosurg Psychiatry 87:717-21 [Journal] [PubMed]
Little S, Brown P (2012) What brain signals are suitable for feedback control of deep brain stimulation in Parkinson's disease? Ann N Y Acad Sci 1265:9-24 [Journal] [PubMed]
Llinás RR, Ribary U, Jeanmonod D, Kronberg E, Mitra PP (1999) Thalamocortical dysrhythmia: A neurological and neuropsychiatric syndrome characterized by magnetoencephalography. Proc Natl Acad Sci U S A 96:15222-7 [PubMed]
Luo M, Wu Y, Peng J (2009) Washout filter aided mean field feedback desynchronization in an ensemble of globally coupled neural oscillators. Biol Cybern 101:241-6 [Journal] [PubMed]
Majtanik M (2007) Effekte von sensorischer Stimulation auf Hirnrhythmen: Modellbasierte Simulationen und magnetoenzephalographische (MEG) Studien. Heinrich-Heine-Universität Düsseldorf
Markram H, Lübke J, Frotscher M, Sakmann B (1997) Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science 275:213-5 [PubMed]
Merrill DR, Bikson M, Jefferys JG (2005) Electrical stimulation of excitable tissue: design of efficacious and safe protocols. J Neurosci Methods 141:171-98 [Journal] [PubMed]
Montaseri G, Yazdanpanah MJ, Pikovsky A, Rosenblum M (2013) Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback. Chaos 23:033122 [Journal] [PubMed]
Moreau C, Defebvre L, Destée A, Bleuse S, Clement F, Blatt JL, Krystkowiak P, Devos D (2008) STN-DBS frequency effects on freezing of gait in advanced Parkinson disease. Neurology 71:80-4 [Journal] [PubMed]
Moro E, Esselink RJ, Xie J, Hommel M, Benabid AL, Pollak P (2002) The impact on Parkinson's disease of electrical parameter settings in STN stimulation. Neurology 59:706-13 [PubMed]
Moro E, Poon YY, Lozano AM, Saint-Cyr JA, Lang AE (2006) Subthalamic nucleus stimulation: improvements in outcome with reprogramming. Arch Neurol 63:1266-72 [Journal] [PubMed]
Nabi A, Mirzadeh M, Gibou F, Moehlis J (2013) Minimum energy desynchronizing control for coupled neurons. J Comput Neurosci 34:259-71 [Journal] [PubMed]
Nini A, Feingold A, Slovin H, 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 74:1800-5 [Journal] [PubMed]
Özkurt TE, Butz M, Homburger M, Elben S, Vesper J, Wojtecki L, Schnitzler A (2011) High frequency oscillations in the subthalamic nucleus: a neurophysiological marker of the motor state in Parkinson's disease. Exp Neurol 229:324-31 [Journal] [PubMed]
Parasuram H, Nair B, D'Angelo E, Hines M, Naldi G, Diwakar S (2016) Computational Modeling of Single Neuron Extracellular Electric Potentials and Network Local Field Potentials using LFPsim. Front Comput Neurosci 10:65 [Journal] [PubMed]
   Modeling single neuron LFPs and extracellular potentials with LFPsim (Parasuram et al. 2016) [Model]
Park C, Worth RM, Rubchinsky LL (2011) Neural dynamics in parkinsonian brain: the boundary between synchronized and nonsynchronized dynamics. Phys Rev E Stat Nonlin Soft Matter Phys 83:042901 [Journal] [PubMed]
Pikovsky A, Rosenblum M, Kurths J (2001) Synchronization A Universal Concept In Nonlinear Sciences
Pikovsky A,Ruffo S (1999) Finite-size effects in a population of interacting oscillators Phys Rev E. 59(2):1633-1636
Popovych OV, Hauptmann C, Tass PA (2005) Effective desynchronization by nonlinear delayed feedback. Phys Rev Lett 94:164102 [Journal] [PubMed]
Popovych OV, Hauptmann C, Tass PA (2006) Control of neuronal synchrony by nonlinear delayed feedback. Biol Cybern 95:69-85 [Journal] [PubMed]
Popovych OV, Tass PA (2010) Synchronization control of interacting oscillatory ensembles by mixed nonlinear delayed feedback. Phys Rev E Stat Nonlin Soft Matter Phys 82:026204 [Journal] [PubMed]
Popovych OV, Tass PA (2012) Desynchronizing electrical and sensory coordinated reset neuromodulation. Front Hum Neurosci 6:58 [Journal] [PubMed]
Popovych OV, Xenakis MN, Tass PA (2015) The spacing principle for unlearning abnormal neuronal synchrony. PLoS One 10:e0117205 [Journal] [PubMed]
Priori A, Foffani G, Rossi L, Marceglia S (2013) Adaptive deep brain stimulation (aDBS) controlled by local field potential oscillations. Exp Neurol 245:77-86 [Journal] [PubMed]
Pyragas K,Popovych OV,Tass PA (2007) Controlling Synchrony in Oscillatory Networks with a Separate Stimulation-Registration Setup Europhys Lett. 80:40002
Quinn EJ, Blumenfeld Z, Velisar A, Koop MM, Shreve LA, Trager MH, Hill BC, Kilbane C, Henderson JM, Brontë-Stewart H (2015) Beta oscillations in freely moving Parkinson's subjects are attenuated during deep brain stimulation. Mov Disord 30:1750-8 [Journal] [PubMed]
Ratas I, Pyragas K (2014) Controlling synchrony in oscillatory networks via an act-and-wait algorithm. Phys Rev E Stat Nonlin Soft Matter Phys 90:032914 [Journal] [PubMed]
Rizzone M, Lanotte M, Bergamasco B, Tavella A, Torre E, Faccani G, Melcarne A, Lopiano L (2001) Deep brain stimulation of the subthalamic nucleus in Parkinson's disease: effects of variation in stimulation parameters. J Neurol Neurosurg Psychiatry 71:215-9 [PubMed]
Rosa M, Arlotti M, Ardolino G, Cogiamanian F, Marceglia S, Di Fonzo A, Cortese F, Rampini PM, Priori A (2015) Adaptive deep brain stimulation in a freely moving Parkinsonian patient. Mov Disord 30:1003-5 [Journal] [PubMed]
Rosenblum M, Pikovsky A (2004) Delayed feedback control of collective synchrony: an approach to suppression of pathological brain rhythms. Phys Rev E Stat Nonlin Soft Matter Phys 70:041904 [Journal] [PubMed]
Rosenblum M, Tukhlina N, Pikovsky A, Cimponeriu L (2006) Delayed Feedback Suppression of Collective Rhythmic Activity in a Neuronal Ensemble Int J Bifurcation And Chaos 16:1989-1999
Rosenblum MG, Pikovsky AS (2004) Controlling synchronization in an ensemble of globally coupled oscillators. Phys Rev Lett 92:114102 [Journal] [PubMed]
Rosin B, Slovik M, Mitelman R, Rivlin-Etzion M, Haber SN, Israel Z, Vaadia E, Bergman H (2011) Closed-loop deep brain stimulation is superior in ameliorating parkinsonism. Neuron 72:370-84 [Journal] [PubMed]
Rubin JE, Terman D (2004) High frequency stimulation of the subthalamic nucleus eliminates pathological thalamic rhythmicity in a computational model. J Comput Neurosci 16:211-35 [Journal] [PubMed]
   High frequency stimulation of the Subthalamic Nucleus (Rubin and Terman 2004) [Model]
   Optimal deep brain stimulation of the subthalamic nucleus-a computational study (Feng et al. 2007) [Model]
Schnitzler A, Münks C, Butz M, Timmermann L, Gross J (2009) Synchronized brain network associated with essential tremor as revealed by magnetoencephalography. Mov Disord 24:1629-35 [Journal] [PubMed]
Singer W (1993) Synchronization of cortical activity and its putative role in information processing and learning. Annu Rev Physiol 55:349-74 [Journal] [PubMed]
Tass P (1999) Phase Resetting in Medicine and Biology
Tass PA (2000) Stochastic phase resetting: A theory for deep brain stimulation Prog Theor Phys Suppl. 139:301-313
Tass PA (2001) Effective desynchronization by means of double-pulse phase resetting Europhys Lett. 53(1):15-21
Tass PA (2003) A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations. Biol Cybern 89:81-8 [Journal] [PubMed]
Tass PA, Adamchic I, Freund HJ, von Stackelberg T, Hauptmann C (2012) Counteracting tinnitus by acoustic coordinated reset neuromodulation. Restor Neurol Neurosci 30:137-59 [Journal] [PubMed]
Tass PA, Majtanik M (2006) Long-term anti-kindling effects of desynchronizing brain stimulation: a theoretical study. Biol Cybern 94:58-66 [Journal] [PubMed]
Tass PA, Popovych OV (2012) Unlearning tinnitus-related cerebral synchrony with acoustic coordinated reset stimulation: theoretical concept and modelling. Biol Cybern 106:27-36 [Journal] [PubMed]
Tass PA, Qin L, Hauptmann C, Dovero S, Bezard E, Boraud T, Meissner WG (2012) Coordinated reset has sustained aftereffects in Parkinsonian monkeys. Ann Neurol 72:816-20 [Journal] [PubMed]
Tass PA, Silchenko AN, Hauptmann C, Barnikol UB, Speckmann EJ (2009) Long-lasting desynchronization in rat hippocampal slice induced by coordinated reset stimulation. Phys Rev E Stat Nonlin Soft Matter Phys 80:011902 [Journal] [PubMed]
Temperli P, Ghika J, Villemure JG, Burkhard PR, Bogousslavsky J, Vingerhoets FJ (2003) How do parkinsonian signs return after discontinuation of subthalamic DBS? Neurology 60:78-81 [PubMed]
Tukhlina N, Rosenblum M, Pikovsky A, Kurths J (2007) Feedback suppression of neural synchrony by vanishing stimulation. Phys Rev E Stat Nonlin Soft Matter Phys 75:011918 [Journal] [PubMed]
van Nuenen BF, Esselink RA, Munneke M, Speelman JD, van Laar T, Bloem BR (2008) Postoperative gait deterioration after bilateral subthalamic nucleus stimulation in Parkinson's disease. Mov Disord 23:2404-6 [Journal] [PubMed]
van Wijk BC, Beudel M, Jha A, Oswal A, Foltynie T, Hariz MI, Limousin P, Zrinzo L, Aziz TZ, Green AL, Brown P, Litvak V (2016) Subthalamic nucleus phase-amplitude coupling correlates with motor impairment in Parkinson's disease. Clin Neurophysiol 127:2010-9 [Journal] [PubMed]
Volkmann J, Herzog J, Kopper F, Deuschl G (2002) Introduction to the programming of deep brain stimulators. Mov Disord 17 Suppl 3:S181-7 [PubMed]
Wang DD, de Hemptinne C, Miocinovic S, Qasim SE, Miller AM, Ostrem JL, Galifianakis NB, San Luciano M, Starr PA (2016) Subthalamic local field potentials in Parkinson's disease and isolated dystonia: An evaluation of potential biomarkers. Neurobiol Dis 89:213-22 [Journal] [PubMed]
Wang J, Nebeck S, Muralidharan A, Johnson MD, Vitek JL, Baker KB (2016) Coordinated Reset Deep Brain Stimulation of Subthalamic Nucleus Produces Long-Lasting, Dose-Dependent Motor Improvements in the 1-Methyl-4-phenyl-1,2,3,6-tetrahydropyridine Non-Human Primate Model of Parkinsonism. Brain Stimul 9:609-17 [Journal] [PubMed]
Weisz N, Moratti S, Meinzer M, Dohrmann K, Elbert T (2005) Tinnitus perception and distress is related to abnormal spontaneous brain activity as measured by magnetoencephalography. PLoS Med 2:e153 [Journal] [PubMed]
Wilson CJ, Beverlin B, Netoff T (2011) Chaotic desynchronization as the therapeutic mechanism of deep brain stimulation. Front Syst Neurosci 5:50 [Journal] [PubMed]
Wilson D,Moehlis J (2014) Optimal Chaotic Desynchronization for Neural Populations SIAM J Appl Dyn Syst 13(1):276-305
Winfree AT (1980) The geometry of biological time.
Wong RK, Traub RD, Miles R (1986) Cellular basis of neuronal synchrony in epilepsy. Adv Neurol 44:583-92 [PubMed]
Wongsarnpigoon A, Grill WM (2010) Energy-efficient waveform shapes for neural stimulation revealed with a genetic algorithm. J Neural Eng 7:046009 [Journal] [PubMed]
Xie T, Kang UJ, Warnke P (2012) Effect of stimulation frequency on immediate freezing of gait in newly activated STN DBS in Parkinson's disease. J Neurol Neurosurg Psychiatry 83:1015-7 [Journal] [PubMed]
Yamamoto T, Katayama Y, Ushiba J, Yoshino H, Obuchi T, Kobayashi K, Oshima H, Fukaya C (2013) On-demand control system for deep brain stimulation for treatment of intention tremor. Neuromodulation 16:230-5; discussion 235 [Journal] [PubMed]
Yanagisawa T, Yamashita O, Hirata M, Kishima H, Saitoh Y, Goto T, Yoshimine T, Kamitani Y (2012) Regulation of motor representation by phase-amplitude coupling in the sensorimotor cortex. J Neurosci 32:15467-75 [Journal] [PubMed]
Yang AI, Vanegas N, Lungu C, Zaghloul KA (2014) Beta-coupled high-frequency activity and beta-locked neuronal spiking in the subthalamic nucleus of Parkinson's disease. J Neurosci 34:12816-27 [Journal] [PubMed]
Yeung MKS,Strogatz SH (1999) Time delay in the Kuramoto model of coupled oscillators Phys Rev Lett. 82:648-651
Zhai Y,Kiss IZ,Hudson JL (2008) Control of complex dynamics with time-delayed feedback in populations of chemical oscillators: Desynchronization and clustering Ind Eng Chem Res 47(10):3502-3514
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