Adamchic, I., Hauptmann, C., Barnikol, U. B., Pawelczyk, N., Popovych, O., Barnikol, T. T., Silchenko, A., Volkmann, J., Deuschl, G., Meissner, W. G., Maarouf, M., Sturm, V., Freund, H. J., & Tass, P. A. (2014). Coordinated reset neuromodulation for Parkinson’s disease: Proof-of-concept study. Movement Disorders, 29, 1679–1684.

Baizabal-Carvallo, J. F., Kagnoff, M. N., Jimenez-Shahed, J., Fekete, R., & Jankovic, J. (2014). The safety and efficacy of thalamic deep brain stimulation in essential tremor: 10 years and beyond. Journal of Neurology Neurosurgery and Psychiatry, 85, 567–572.

Barahona, M., & Pecora, L. M. (2002). Synchronization in small-world systems. Physical Review Letters, 89, 054101.

Benabid, A. L., Chabardes, S., Mitrofanis, J., & Pallak, P. (2009). Deep brain stimulation of the subthalamic nucleus for the treatment of Parkinson’s disease. The Lancet Neurology, 8, 67–81.

Bettencourt, L. M. A., Stephens, G. J., Ham, M. I., & Gross, G. W. (2007). Functional structure of cortical neuronal networks grown in vitro. Physical Review E, 75, 021915.

Brocker, D. T., Swan, B. D., So, R. Q., Turner, D. A., Gross, R. E., & Grill, W. M. (2017). Optimized temporal pattern of brain stimulation designed by computational evolution. Science Translational Medicine, 9, eaah3532.

Cogan, S. F. (2008). Neural stimulation and recording electrodes. Annual Reviews of Biomedical Engineering, 10, 275–309.

Cogan, S. F., Troyk, P. R., Ehrlich, J., Plante, T. D., & Detlefsen, D. E. (2006). Potential-biased, asymmetric waveforms for charge-injection with activated iridium oxide (AIROF) neural stimulation electrodes. IEEE Transactions on Biomedical Engineering, 53, 327–332.

Dixon, L. C. W. (1972). Nonlinear optimization. London: The English Universities Press.

Dovzhenok, A., & Rubchinsky, L. L. (2012). On the origin of tremor in Parkinson’s disease. PLoS One, 7, e41598.

Drouot, X., Oschino, S., Jarraya, B., Besret, L., Kishima, H., Remy, P., Dauguet, J., Lefaucheur, J. P., Dolle, F., Conde, F., Bottlaender, M., Peschanski, M., Keravel, Y., Hantraye, P., & Palfi, S. (2004). Functional recovery in a primate model of Parkinson’s disease following motor cortex stimulation. Neuron, 44, 769–778.

Ebert, M., Hauptmann, C., & Tass, P. A. (2014). Coordinated reset stimulation in a large-scale model of the STN-GPe circuit. Frontiers in Computational Neuroscience, 8, 154.

Fan, D., Wang, Z., & Wang, Q. (2016). Optimal control of directional deep brain stimulation in the parkinsonian neuronal network. Communications in Nonlinear Science and Numerical Simulation, 36, 219–237.

Feng, J., Brown, D., & Li, G. (2000). Synchronization due to common pulsed input in Stein’s model. Physical Review E, 61, 2987–2995.

Feng, X. J., Greenwald, B., Rabitz, H., Shea-Brown, E., & Kosut, R. (2007). Toward closed-loop optimization of deep brain stimulation for Parkinson’s disease: concepts and lessons from a computational model. Journal of Neural Engineering, 4(2), L14–L21.

Forger, D. B., Paydarfar, D., & Clay, J. R. (2011). Optimal stimulus shapes for neuronal excitation. PLoS Computational Biology, 7, e1002089.

Foutz, T. J., & McIntyre, C. C. (2010). Evaluation of novel stimulus waveforms for deep brain stimulation. Journal of Neural Engineering, 7, 066008.

Gatev, P., Darbin, O., & Wichmann, T. (2006). Oscillations in the basal ganglia under normal conditions and in movement disorders. Movement Disorders, 21, 1566–1677.

Gaynor, L. M. F. D., Kühn, A. A., Dileone, M., Litvak, V., Eusebio, A., Pogosyan, A., Androulidakis, A. G., Tisch, S., Limousin, P., & Insola, A. (2008). Suppression of beta oscillations in the subthalamic nucleus following cortical stimulation in humans. European Journal of Neuroscience, 28, 1686–1695.

Gerhard, F., Pipa, G., Lima, B., Neuenschwander, S., & Gerstner, W. (2011). Extraction of network topology from multi-electrode recordings: is there a small-world effect? Frontiers in Computational Neuroscience, 5, 4.

Greenwald, E., Masters, M. R., & Thakor, N. V. (2016). Implantable neurotechnologies: bidirectional neural interfaces–applications and VLSI circuit implementations. Medical and Biological Engineering and Computing, 54, 1–17.

Grill, W. M. (2015). Model-based analysis and design of waveforms for efficient neural stimulation. Progress in Brain Research, 222, 147–162.

Guo, Y., & Rubin, J. E. (2011). Multi-site stimulation of subthalamic nucleus diminishes thalamocortical relay errors in a biophysical network model. Neural Networks, 24(6), 602–616.

Haeusler, S., & Maass, W. (2007). A statistical analysis of information-processing properties of lamina-specific cortical microcircuit models. Cerebral Cortex, 17, 149–162.

Herrington, T. M., Cheng, J. J., & Eskandar, E. N. (2016). Mechanisms of deep brain stimulation. Journal of Neurophysiology, 115, 19–38.

Hofmann, L., Ebert, M., Tass, P. A., & Hauptmann, C. (2011). Modified pulse shapes for effective neural stimulation. Frontiers in Neuroengineering, 4, 9.

Hong, H., Choi, M. Y., & Kim, B. J. (2002). Synchronization on small-world networks. Physical Review E, 65, 026139.

Hooke, R., & Jeeves, T. A. (1961). Direct search solution of numerical and statistical problems. Journal of Association of Computing Machinery, 8, 212–229.

Izhikevich, E. M., Gally, J. A., & Edelman, G. M. (2004). Spike-timing dynamics of neuronal groups. Cerebral Cortex, 14, 933–944.

Jezernik, S., & Morari, M. (2005). Energy-optimal electrical excitation of nerve fibers. IEEE Transactions on Biomedical Engineering, 52, 740–743.

Jezernik, S., Sinkjaer, T., & Morari, M. (2010). Charge and energy minimization in electrical/magnetic stimulation of nervous tissue. Journal of Neural Engineering, 7, 046004.

Khambampati, A. K., Ijaz, U. Z., Lee, J. S., Kim, S., & Kim, K. Y. (2010). Phase boundary estimation in electrical impedance tomography using the Hooke and Jeeves pattern search method. Measurement Science and Technology, 21, 035501.

Kubota, S., Kanomata, K., Suzuki, T., Ahmmad, B., & Hirose, F. (2015). Hybrid antireflection structure with moth eye and multilayer coating for organic photovoltaics. Journal of Coatings Technology and Research, 12, 37–47.

Kühn, A. A., & Volkmann, J. (2017). Innovations in deep brain stimulation methodology. Movement Disorders, 32, 11–19.

Kühn, A. A., Kempf, F., Brücke, C., Doyle, L. G., Martinez-Torres, I., Pogosyan, A., Trottenberg, T., Kupsch, A., Schneider, G. H., Hariz, M. I., Vandenberghe, W., Nuttin, B., & Brown, P. (2008). High-frequency stimulation of the subthalamic nucleus suppresses oscillatory β activity in patients with Parkinson's disease in parallel with improvement in motor performance. Journal of Neuroscience, 28(24), 6165–6173.

Kumar, R., Lozano, A. M., Sime, E., & Lang, A. E. (2003). Long-term follow-up of thalamic deep brain stimulation for essential and parkinsonian tremor. Neurology, 61, 1601–1604.

Kuncel, A. M., & Grill, W. M. (2004). Selection of stimulus parameters for deep brain stimulation. Clinical Neurophysiology, 115, 2431–2441.

Lavano, A., Guzzi, G., De Rose, M., Romano, M., Della Torre, A., Vescio, G., Deodato, F., Lavano, F., & Volpentesta, G. (2017). Minimally invasive motor cortex stimulation for Parkinson’s disease. Journal of Neurosurgical Sciences, 61, 77–87.

Liu, Y. H., & Wang, X. J. (2001). Spike-frequency adaptation of a generalized leaky integrate-and-fire model neuron. Journal of Computational Neuroscience, 10, 25–45.

Mallet, N., Pogosyan, A., Sharott, A., Csicsvari, J., Bolam, J. P., Brown, P., & Magill, P. J. (2008). Disrupted dopamine transmission and the emergence of exaggerated beta oscillations in subthalamic nucleus and cerebral cortex. Journal of Neuroscience, 28, 4795–4806.

Muthuraman, M., Deuschl, G., Koirala, N., Riedel, C., Volkmann, J., & Groppa, S. (2017). Effects of DBS in parkinsonian patients depend on the structural integrity of frontal cortex. Scientific Reports, 7, 43571.

Ondo, W., Jankovic, J., Schwartz, K., Almaguer, M., & Simpson, R. K. (1998). Unilateral thalamic deep brain stimulation for refractory essential tremor and Parkinson’s disease tremor. Neurology, 51, 1063–1069.

Prettejohn, B. J., Berryman, M. J., & McDonnell, M. D. (2011). Methods for generating complex networks with selected structural properties for simulations: A review and tutorial for neuroscientists. Frontiers in Computational Neuroscience, 5, 11.

Reich, M. M., Steigerwald, F., Sawalhe, A. D., Reese, R., Gunalan, K., Johannes, S., Nickl, R., Matthies, C., McIntyre, C. C., & Volkmann, J. (2015). Short pulse width widens the therapeutic window of subthalamic neurostimulation. Annals of Clinical and Tranlational Neurology, 2, 427–432.

Rosin, B., Slovik, M., Mitelman, R., Rivlin-Etzion, M., Haber, S. N., Israel, Z., Vaadia, E., & Bergman, H. (2011). Closed-loop deep brain stimulation is superior in ameliorating parkinsonism. Neuron, 72, 370–384.

Rubin, J. E., & Terman, D. (2004). High frequency stimulation of the subthalamic nucleus eliminates pathological thalamic rhythmicity in a computational model. Journal of Computational Neuroscience, 16(3), 211–235.

Rubin, J. E., McIntyre, C. C., Turner, R. S., & Wichmann, T. (2012). Basal ganglia activity patterns in parkinsonism and computational modeling of their downstream effects. European Journal of Neuroscience, 36, 2213–2228.

Sahin, M., & Tie, Y. (2007). Non-rectangular waveforms for neural stimulation with practical electrodes. Journal of Neural Engineering, 4, 227–233.

Santaniello, S., McCarthy, M. M., Montgomery, E. B., Gale, J. T., Kopell, N., & Sarma, S. V. (2015). Therapeutic mechanisms of high-frequency stimulation in Parkinson’s disease and neural restoration via loop-based reinforcement. Proceedings of the National Academy of Sciences of the United States of America, 112, E586–E595.

Tass, P. A. (2003). A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations. Biological Cybernetics, 89, 81–88.

Tass, P. A., Qin, L., Hauptmann, C., Dovero, S., Bezard, E., Boraud, T., & Meissner, W. G. (2012). Coordinated reset has sustained aftereffects in Parkinsonian monkeys. Annals of Neurology, 72, 816–820.

Terman, D., Rubin, J. E., Yew, A. C., & Wilson, C. J. (2002). Activity patterns in a model for the subthalamopallidal network of the basal ganglia. Journal of Neuroscience, 22, 2963–2976.

Troyer, T. W., & Miller, K. D. (1997). Physiological gain leads to high ISI variability in a simple model of a cortical regular spiking cell. Neural Computation, 9, 971–983.

Türker, K. S., & Powers, R. K. (2001). Effects of common excitatory and inhibitory inputs on motoneuron synchronization. Journal of Neurophysiology, 86, 2807–2822.

Wang, J., Nebeck, S., Muralidharan, A., Johnson, M. D., Vitek, J. L., & Baker, K. B. (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 Stimulation, 9, 609–617.

Watts, D. J., & Strogatz, S. H. (1998). Collective dynamics of ‘small-world’ networks. Nature, 393, 440–442.

Wilson, D., & Moehlis, J. (2014a). Locally optimal extracellular stimulation for chaotic desynchronization of neural populations. Journal of Computational Neuroscience, 37, 243–257.

Wilson, D., & Moehlis, J. (2014b). Optimal chaotic desynchronization for neural populations. SIAM Journal on Applied Dynamical Systems, 13, 276–305.

Wise, K. D., Sodagar, A. M., Yao, Y., Gulari, M. N., Perlin, G. E., & Najafi, K. (2008). Microelectrodes, microelectronics, and implantable neural microsystems. Proceedings of the IEEE, 96, 1184–1202.

Wongsarnpigoon, A., & Grill, W. M. (2010). Energy-efficient waveform shapes for neural stimulation revealed with genetic algorithm. Journal of Neural Engineering, 7, 046009.

Wongsarnpigoon, A., Woock, J. P., & Grill, W. M. (2010). Efficiency analysis of waveform shape for electrical excitation of nerve fibers. IEEE Transactions on Neural Systems and Rehabilitation Engineering, 18, 319–328.