Leonid Rubchinsky - Publications

 

M. Swartz, L.L. Rubchinsky. Using mathematics to become in synch with the brain. Frontiers for Young Minds, 10: 741510, 2022.

 

C. Park, L.L. Rubchinsky, S. Ahn. Mathematical model of subthalamic nucleus neuron: characteristic activity patterns and bifurcation analysis. Chaos, 31: 113121, 2021.

(preprint arXiv:2110.10299)

 

J. Zirkle, L.L. Rubchinsky. Noise effect on the temporal patterns of neural synchrony. Neural Networks, 141: 30-39, 2021.

(pdf, preprint biorXiv:2021.03.22.436529)

 

Q.-A. Nguyen, L.L. Rubchinsky. Temporal patterns of synchrony in a pyramidal-interneuron gamma (PING) network. Chaos, 31: 043133, 2021.

(pdf, preprint arXiv:2104.02163)

 

J. Zirkle, L.L. Rubchinsky. Spike-timing dependent plasticity effect on the temporal patterning of neural synchronization. Frontiers in Computational Neuroscience, 14: 52, 2020.

(preprint arXiv:2005.08411)

 

L.L. Rubchinsky, C. Park, S. Ahn. Fine Temporal Structure of Synchronization of Neural Oscillations in the Basal Ganglia in Parkinson's disease. In "Encyclopedia of Computational Neuroscience" (ed. by D. Jaeger and R. Jung), Springer, NY, 2020.

(pdf)

 

S. Ahn, L.L. Rubchinsky. Temporal patterns of dispersal-induced synchronization in population dynamics. Journal of Theoretical Biology, 490: 110159, 2020.

(pdf, preprint arXiv:2001.03656)

 

E. Malaia, S. Ahn, L.L. Rubchinsky. Dysregulation of temporal dynamics of synchronous neural activity in adolescents on autism spectrum. Autism Research 13: 24-31, 2020.

(pdf, preprint bioRxiv:813519)

 

S. Ahn, C. Park, L.L. Rubchinsky. Neural synchronization in Parkinson's disease on different time scales. In "Multiscale Models of Brain Disorders", ed. by V. Cutsuridis, pp. 57-65, 2019.

(pdf)

 

A.M. McCane, S. Ahn, L.L. Rubchinsky, S.S. Janetsian, D.N. Linsenbardt, C.L. Czachowski, C.C. Lapish. COMT inhibition alters cued-evoked oscillatory dynamics during alcohol drinking in the rat. eNeuro 5: ENEURO.0326-18.2018, 2018. 

 

S. Ahn, S.E. Zauber, R.M. Worth, T. Witt, L.L. Rubchinsky. Neural synchronization: average strength vs. temporal patterning. Clinical Neurophysiology, 129: 842-844, 2018. 

(pdf)

 

S. Ratnadurai-Giridharan, C.C. Cheung, L.L. Rubchinsky. Effects of electrical and optogenetic deep brain stimulation on synchronized oscillatory activity in Parkinsonian basal ganglia. IEEE Transactions on Neural Systems and Rehabilitation Engineering 25: 2188-2195, 2017.

(pdf, preprint arXiv:1706:00976)

 

S. Ahn, L.L. Rubchinsky. Potential mechanisms and functions of intermittent neural synchronization. Frontiers in Computational Neuroscience 11:44, 2017.

 

L.L. Rubchinsky, S. Ahn, C. Park. Dynamics of intermittent synchronization of neural activity. In "Advances in Dynamics, Patterns, Cognition", ed. by I.S. Aranson, A. Pikovsky, N.F. Rulkov, and L. Tsimring, pp. 263-275. Springer, 2107.

(pdf)

 

S. Ahn, S.E. Zauber, R.M. Worth, L.L. Rubchinsky. Synchronized beta-band oscillations in a model of the globus pallidus - subthalamic nucleus network under external input. Frontiers in Computational Neuroscience 10:134, 2016.

 

S. Ratnadurai-Giridharan, S.E. Zauber, R.M. Worth, T. Witt, S. Ahn, L.L. Rubchinsky. Temporal patterning of neural synchrony in the basal ganglia in Parkinson's disease. Clinical Neurophysiology 127:1743-1745, 2016.

(pdf)

 

L.L. Rubchinsky, S. Ahn. Short desynchronizaiton epochs in neural synchronization: detection, mechanisms, and functions. BMC Neuroscience 16(Suppl 1): P3, 2015.

 

S. Ahn, S. E. Zauber, R.M. Worth, T. Witt, L.L. Rubchinsky. Interaction of synchronized dynamics in cortex and basal ganglia in Parkinson's disease. European Journal of Neuroscience 42: 2164-2171, 2015.

(pdf)

 

S. Ahn, L.L. Rubchinsky, C.C.Lapish. Dynamical reorganization of synchronous activity patterns in prefrontal cortex - hippocampus networks during behavioral sensitization. Cerebral Cortex 24: 2553-2561, 2014.

(pdf, profiled by IUPUI Newsroom)

 

S. E. Zauber, S. Ahn, R.M. Worth, L.L. Rubchinsky. Oscillatory neural activity of anterormedial Globus Pallidus internus in Tourette syndrome. Clinical Neurophysiology 125:1923, 2014

(pdf)

 

S. Ahn, S. E. Zauber, R.M. Worth, L.L. Rubchinsky. The response of the subthalamo-pallidal networks of the Basal Ganglia to oscillatory cortical input in Parkinson's disease. BMC Neuroscience 15(Suppl 1): P57, 2014.

 

L.L. Rubchinsky, S. Ahn, C. Park. Dynamics of desynchronized episodes in intermittent synchronization. Frontiers in Computational Physics 2: 38, 2014.

(preprint arXiv:1406.1537)

 

S. Ahn, J. Solfest, L.L. Rubchinsky. Fine temporal structure of cardiorespiratory synchronization. American Journal of Physiology - Heart and Circulatory Physiology 306: H755-H763, 2014.

(pdf, preprint arXiv:1401.0478)

 

Y. Guo, C. Park, R.M. Worth, L.L. Rubchinsky. Basal ganglia modulation of thalamocortical relay in Parkinson's disease and dystonia. Frontiers in Computational Neuroscience 7: 124, 2013.

 

S. Ahn, L.L. Rubchinsky. Fine temporal structure of neural synchronization. BMC Neuroscience 14(Suppl 1):P336, 2013

 

S. Ahn, D.N. Linsenbardt, C.C. Lapish, L.L. Rubchinsky. Repeated injections of D-Amphetamine evoke rapid and dynamic changes in phase synchrony between the prefrontal cortex and hippocampus. Frontiers in Behavioral Neuroscience 7: 92, 2013.

 

A. Dovzhenok, C. Park, R.M. Worth, L.L. Rubchinsky. Failure of Delayed Feedback Deep Brain Stimulation for Intermittent Pathological Synchronization in Parkinson's Disease. PLoS ONE 8(3): e58264, 2013.

(preprint arXiv:1302.1758)

 

S. Ahn, L.L. Rubchinsky. Short desynchronization episodes prevail in synchronous dynamics of human brain rhythms. Chaos 23: 013138, 2013.

(pdf, preprint arXiv:1302.5866)

 

C. Park, L.L. Rubchinsky. Potential mechanisms for imperfect synchronization in parkinsonian basal ganglia. PLoS ONE, 7(12): e51530, 2012.

(preprint arXiv:1211.1990)

 

A. Dovzhenok, C. Park, R.M. Worth, L.L. Rubchinsky. Synchronizing and desynchronizing effects of nonlinear delayed feedback deep brain stimulation in Parkinson's disease. BMC Neuroscience 13 (Suppl 1): P53, 2012.

 

C. Park, L.L. Rubchinsky. Mechanisms of pathological synchrony in Parkinson's disease induced by changes in synaptic and cellular properties due to dopamine. BMC Neuroscience 13 (Suppl 1): P54, 2012.

 

A. Dovzhenok, L.L. Rubchinsky. On the Origin of Tremor in Parkinson's Disease. PLoS ONE 7(7): e41598, 2012.

(preprint arXiv:1206.5811)

 

L.L. Rubchinsky, C. Park, R.M. Worth. Intermittent neural synchronization in Parkinson's disease. Nonlinear Dynamics, 68: 329-346, 2012.

(pdf)

 

C. Park, L.L. Rubchinsky. Intermittent synchronization in a network of bursting neurons. Chaos, 21: 033125, 2011.

(pdf, available as arXiv:1109.2556, profiled in Physics News Highlights by American Institute of Physics)

 

S. Ahn, C. Park, L.L. Rubchinsky. Detecting the temporal structure of intermittent phase locking. Physical Review E, 84: 016201, 2011.

(pdf, preprint arXiv:1106.1120)

 

Y. Guo, C. Park, M. Rong, R. M. Worth, L. L. Rubchinsky. Modulation of thalamocortical relay by basal ganglia in Parkinson's disease and dystonia. BMC Neuroscience 12(Suppl 1): P275, 2011.

 

C. Park, L.L.  Rubchinsky. Possible mechanisms underlying intermittent synchronous activity in the networks of excitatory and inhibitory bursting neurons. BMC Neuroscience 12(Suppl 1): P276, 2011.

 

C. Park, R.M. Worth, L.L. Rubchinsky. Neural dynamics in parkinsonian brain: the boundary between synchronized and nonsynchronized dynamics. Physical Review E. 83, 042901, 2011.

(pdf, preprint arXiv:1103.0182, profiled in New Scientist)

 

L.L. Rubchinsky, C. Park, R.M. Worth. Fine temporal structure of beta-band synchronization in Parkinson's disease: experiments, models and mechanisms. BMC Neuroscience 11(Suppl 1): O6, 2010.

 

A. Dovzhenok, L.L. Rubchinsky. Modeling the origin of parkinsonian tremor. BMC Neuroscience 11(Suppl 1): P34, 2010

 

C. Park, R.M. Worth, L.L. Rubchinsky. Fine temporal structure of beta oscillations synchronization in subthalamic nucleus in Parkinson's disease. J. Neurophysiol 103:2707-2716, 2010.

 

C. Park, R.M. Worth, L.L. Rubchinsky. Intermittent patterns of synchronous activity in human basal ganglia. BMC Neuroscience 9(Suppl 1): 150, 2008.

 

L.L. Rubchinsky, A.S. Kuznetsov, V.L. Wheelock, K.A. Sigvardt. Tremor. Scholarpedia, 2(10): 1379, 2007.

 

A.S. Kuznetsov, L.L. Rubchinsky, N. Kopell, C. Wilson. Models of Midbrain Dopaminergic Neurons. Scholarpedia, 2(10): 1812, 2007.

 

L.L. Rubchinsky, N. Kopell, K.A. Sigvardt. 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, 2006.

 

J.M. Hurtado, L.L. Rubchinsky, K.A. Sigvardt. The dynamics of tremor networks in Parkinson's disease. In Recent Breakthroughs in Basal Ganglia Research, ed. E Bezard. Nova Publishers, 249-266, 2006.

 

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.

(pdf)

 

L. Rubchinsky, M. Sushchik. Disorder can eliminate oscillator death. Physical Review E 62: 6440-6446, 2000.

(pdf)

 

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.

(pdf)

 

M. Bazhenov, M. Rabinovich, L. Rubchinsky. Time-periodic spatial chaos in the complex Ginzburg-Landau equation. J. Stat. Phys. 83: 1165-1181, 1996.

(pdf)

 

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.