Leonid Rubchinsky - Publications
C. Park, R.M. Worth, L.L. Rubchinsky (2008) Intermittent patterns of synchronous activity in human basal ganglia. BMC Neuroscience 9(Suppl 1): 150.
L.L. Rubchinsky, A.S. Kuznetsov, V.L. Wheelock, K.A. Sigvardt (2007) Tremor. Scholarpedia, 2(10): 1379.
A.S. Kuznetsov, L.L. Rubchinsky, N. Kopell, C. Wilson (2007) Models of Midbrain Dopaminergic Neurons. Scholarpedia, 2(10): 1812.
L.L. Rubchinsky, N. Kopell, K.A. Sigvardt (2006) Conductance-based models of STN-GPe-GPi circuits: from biophysics to behavior. In Recent Breakthroughs in Basal Ganglia Research, ed. E. Bezard. Nova Publishers, 17-25.
J.A. Hurtado, L.L. Rubchinsky, K.A. Sigvardt (2006) The dynamics of tremor networks in Parkinson's disease. In Recent Breakthroughs in Basal Ganglia Research, ed. E Bezard. Nova Publishers, 249-266.
J.M. Hurtado, L.L. Rubchinsky, K.A. Sigvardt, V.L. Wheelock, C.T.E. Pappas. Temporal evolution of oscillations and synchrony in GPi/muscle pairs in Parkinson's disease. J. Neurophysiol 93: 1569-1584, 2005.
J.M. Hurtado, L.L. Rubchinsky, K.A. Sigvardt. Statistical method for detection of phase locking episodes in neural oscillations. J. Neurophysiol 91:1883-1898, 2004
L.L. Rubchinsky, N. Kopell, K.A. Sigvardt. Modeling facilitation and inhibition of competing motor programs in basal ganglia subthalamic nucleus - pallidal circuits. Proc. Nat. Acad. Sci. USA 100: 14427-14432, 2003.
L.L. Rubchinsky, M.M. Sushchik, G.V. Osipov. Patterns in networks of oscillators formed via synchronization and oscillator death. Mathematics and Computers in Simulation 58: 443-467, 2002.
L. Rubchinsky, M. Sushchik. Disorder can eliminate oscillator death. Physical Review E 62: 6440-6446, 2000.
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L.L. Rubchinsky, G.V. Osipov, M.M. Sushchik. Intermittent front propagation in arrays of bistable oscillators. In Proc. Int. Symposium on Nonlinear Theory and Its Applications. Dresden, Germany, v. 1, 273-276, 2000.
L. Rubchinsky, M. Sushchik. The action of disorder on oscillator death. In Proc. 2nd IEEE - IUTAM Int. Conference "Control of Oscillations and Chaos". Ed. by F.L. Chernousko and A.L. Fradkov. Piscataway, NJ: IEEE, v. 1, 181-182, 2000.
M.M. Sushchik, G.V. Osipov, L.L. Rubchinsky. Intermittency in transitions from non-propagation to propagation in bistable active media. In Proc. VII School-Seminar "Wave Phenomena in Inhomogeneous Media". Krasnovidovo, Russia, v. 1, 19-20, 2000.
L.L. Rubchinsky, M.M. Sushchik. The influence of disorder on oscillator death in inhomogeneous arrays of self-oscillators. In Proc. VII School-Seminar "Wave Phenomena in Inhomogeneous Media". Krasnovidovo, Russia, v. 1, 20-22, 2000.
L. Rubchinsky, M. Sushchik. The influence of disorder on oscillator death in smoothly inhomogeneous arrays of oscillators. In Stochaos: Stochastic and Chaotic Dynamics in the Lakes. Ed. by D.S. Broomhead, E.A. Luchinskaya, P.V.E. McClintock., T. Mullin. Woodbury, NY: American Institute of Physics, 567-572, 2000.
L. Rubchinsky, M. Sushchik. Anomalous relationship between spatial and temporal patterns of dynamical behavior. Int. J. Bifurcation and Chaos 9: 2329-2334, 1999.
L.L. Rubchinskii, M.M. Sushchik. Direct and reverse relationship between disordered spatial and temporal patterns in arrays of chaotic oscillators. Izv. VUZov Prikladnaya Nelineinaya Dinamika 7: 81-87, 1999. In Russian.
G. Osipov, L. Rubchinsky, M. Sushchik. Controlled formation of synchronized clusters in arrays of diffusively coupled Van der Pol oscillators. In Proc. Int. Symposium on Nonlinear Theory and Its Applications. Crans-Montana, Switzerland, v. 2, 531-534, 1998.
L. Rubchinsky, M. Sushchik, Anomalous relationship between spatial and temporal patterns of behavior in homogeneous nonlinear nonequilibrium media. In Proc. Int. Symposium on Nonlinear Theory and Its Applications. Crans-Montana, Switzerland, v. 1, 307-310, 1998.
L.L. Rubchinsky, M.M. Sushchik. Synchronized clusters and their control in the chains of self-oscillators with inhomogeneous distribution of natural frequencies. In Proc. VI School-Seminar "Wave Phenomena in Inhomogeneous Media". Krasnovidovo, Russia, 62, 1998.
H.D.I. Abarbanel, M.I. Rabinovich, A. Selverston, M.V. Bazhenov, R. Huerta, M.M. Sushchik, L.L. Rubchinskii. Synchronization in neural networks. Uspekhi Fizicheskih Nauk 166: 363-390 (translated to English in Physics-Uspekhi 39: 337-362), 1996.
M. Rabinovich, A. Selverston, L. Rubchinsky, R. Huerta. Dynamics and kinematics of simple neural systems. Chaos 6: 288-296, 1996.
M. Bazhenov, M. Rabinovich, L. Rubchinsky. Time-periodic spatial chaos in the complex Ginzburg-Landau equation. J. Stat. Phys. 83: 1165-1181, 1996.
M.V. Bazhenov, M.I. Rabinovich, L.L. Rubchinsky. Simple neuronal model with complex oscillatory activity. Izv. VUZov Prikladnaya Nelineinaya Dinamika 4: 33-39, 1996. In Russian.
M. Bazhenov, M. Rabinovich, L. Rubchinsky. An oscillatory neural network unit model. In Chaotic, Fractal, and Nonlinear Signal Processing. Ed. R.A. Katz. American Institute of Physics, 726-733, 1996.
M. Bazhenov, M. Rabinovich, L. Rubchinsky. Time periodic spatial disorder in a complex Ginzburg-Landau equation. In Chaotic, Fractal, and Nonlinear Signal Processing. Ed. R.A. Katz. American Institute of Physics, 533-540, 1996.
M. Bazhenov, M. Rabinovich, L. Rubchinsky. A model for neural network with complex oscillatory activity. In Proc. 1995 Int. Symposium on Nonlinear Theory and Its Applications. Las Vegas, NV, v. 2, 1045-1048, 1995.
M.V. Bazhenov, M.I. Rabinovich, L.L. Rubchinskii. Periodic evolution of space chaos in the one-dimensional complex Ginzburg-Landau equation. Izv. VUZov. Radiofizika 38: 37-43 (translated to English in Radiophysics and Quantum Electronics 38: 25-29), 1995.
C. Park, R.M. Worth, L.L. Rubchinsky. Intermittent patterns of synchronous activity in human basal ganglia. Paper #126, Annual Computational Neuroscience Meeting CNS*2008. Portland, Oregon, 2008.
L.L. Rubchinsky, C. Park, R.M. Worth. Synchronization of local filed potentials and neuronal units oscillations in parkinsonian subthalamic nucleus. Workshop on Real Time Brain Interfacing Applications. Mathematical Biosciences Institute, Ohio State University, Columbus, OH, 2008.
L.L. Rubchinsky. Dynamics of Basal Ganglia Networks in Parkinson's Disease: Models and Experiments. Workshop on Interdisciplinary Biomedical Research, University of Notre Dame, April 2008.
L.L. Rubchinsky, C. Park, R.M. Worth. Synchronization in Basal Ganglia Networks. Abstracts of the American Mathematical Society 2008 Spring Central Section Meeting, 1038-92-139. Bloomington, IN, 2008.
L.L. Rubchinsky, C. Park, A. Kuznetsov, R.M. Worth. Dynamics of Basal Ganglia Circuits in Parkinson's Disease. Center for Mathematical Biosciences Open House, Indiana University Purdue Unievrsity Indianapolis, IN, 2007
L.L. Rubchinsky, K.A. Sigvardt. Modeling pathophysiology of motor symptoms in Parkinson’s disease. Abstracts of the American Mathematical Society 2006 Fall Central Section Meeting. Cincinnati, OH, 2006.
L. Rubchinsky, K. Sigvardt. Dynamics of basal ganglia – thalamocortical networks and parkinsonian tremor. Abstracts of the 15th Annual Computational Neuroscience Meeting CNS06, p. 88, Edinburgh, UK, 2006.
L.L. Rubchinsky. Modeling tremor-generating networks in Parkinson’s disease. 2nd Young Researchers Workshop in Mathematical Biology, Mathematical Biosciences Institute, Ohio State University, Columbus, OH, 2006.
L.L. Rubchinsky, A. Ray, K.A. Sigvardt. Lesions in posteroventral pallidum in Parkinson's disease reduce burstiness of neuronal discharge. Program No. 331.15. 2005 Abstract Viewer/Itinerary Planner. Washington, DC: Society for Neuroscience, 2005.
V. Wheelock, T. Tempkin, L. Rubchinsky, R. Akkinepali, R. Henry, K. Sigvardt. Quantitative assessment of chorea and bradykinesia in Huntington’s disease (9th Int. Congress of Parkinson’s disease and Movement Disorders), Movement Disorders 20: S10, 2005.
L.L. Rubchinsky, A. Ray, V.L. Wheelock, C.T.E. Pappas, K.A. Sigvardt. The effect of pallidotomy on neuronal firing rates in the globus pallidus in parkinsonian patients. Program No. 70.22. 2004 Abstract Viewer/Itinerary Planner. Washington, DC: Society for Neuroscience, 2004.
J.M. Hurtado, L.L. Rubchinsky, V.L. Wheelock, C.T.E. Pappas, K.A. Sigvardt. Synchronization through phase slips in the parkinsonian tremor network. 2004 Abstract Viewer/Itinerary Planner. Washington, DC: Society for Neuroscience, 2004.
L.L. Rubchinsky, N. Kopell, K.A. Sigvardt. Normal and parkinsonian control of motor programs in pallidal and subthalamic networks of basal ganglia. Abstracts of the 13th Annual Computational Neuroscience Meeting CNS04, p. 96-97, Baltimore, MD, 2004.
K.A. Sigvardt, J.M. Hurtado, L.L. Rubchinsky, V.L. Wheelock, C.T.E. Pappas. Transient synchronization and phase relationships between pallidal activity and limb tremor in Parkinson’s disease: Implications for network organization (8th Int. Congress of Parkinson’s disease and Movement Disorders, Rome), Movement Disorders 19: S449, 2004.