RESEARCH INTERESTS

 

Applied dynamical systems, mathematical biology, computational neuroscience:
               biological oscillators, dynamics of coupled oscillators and synchronization,
               neuronal assemblies, neurodynamics, information processing in neural networks,
               neurophysiology of the basal ganglia
               Parkinson's disease and other movement disorders, addiction, autism spectrum disorder

 

 

 

RESEARCH TOPICS AND SOME PUBLICATIONS (overlapping; current and old)

 

 

Neurophysiology of Parkinson's disease: oscillations and synchronization in the basal ganglia

 

C Park, LL Rubchinsky, S Ahn (2021) Mathematical model of subthalamic nucleus neuron: characteristic activity patterns and bifurcation analysis. Chaos, 31: 113121. (preprint arXiv:2110.10299)

LL Rubchinsky, C Park, S Ahn (2020) 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. (pdf)

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

S Ahn, SE Zauber, RM Worth, T Witt, LL Rubchinsky (2018) Neural synchronization: average strength vs. temporal patterning. Clinical Neurophysiology, 129: 842-844. (pdf)

S Ahn, SE Zauber, RM Worth, LL Rubchinsky (2016) Synchronized beta-band oscillations in a model of the globus pallidus - subthalamic nucleus network under external input. Frontiers in Computational Neuroscience, 10:134.

S Ratnadurai-Giridharan, SE Zauber, RM Worth, T Witt, S Ahn, LL Rubchinsky (2016) Temporal patterning of neural synchrony in the basal ganglia in Parkinson's disease. Clinical Neurophysiology, 127:1743-1745. (pdf)

S Ahn, SE Zauber, RM Worth, T Witt, LL Rubchinsky (2015) Interaction of synchronized dynamics in cortex and basal ganglia in Parkinson's disease. European Journal of Neuroscience, 42: 2164-2171. (pdf)

S Ahn, SE Zauber, RM Worth, LL Rubchinsky (2014) 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.

A Dovzhenok, C Park, RM Worth, LL Rubchinsky (2013) Failure of Delayed Feedback Deep Brain Stimulation for Intermittent Pathological Synchronization in Parkinson's Disease. PLoS ONE 8(3): e58264. (preprint arXiv:1302.1758)

C Park, LL Rubchinsky (2012) Potential mechanisms for imperfect synchronization in parkinsonian basal ganglia. PLoS ONE, 7(12):e51530. (preprint arXiv:1211.1990)

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

C Park, LL Rubchinsky (2012) 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.

LL Rubchinsky, C Park, RM Worth (2012) Intermittent neural synchronization in Parkinson's disease. Nonlinear Dynamics, 68: 329-346. (pdf)

C Park, LL Rubchinsky (2011) Intermittent synchronization in a network of bursting neurons. Chaos, 21, 033125, 2011. (pdf, preprint arXiv:1109.2556, profiled in Physics News Highlights by American Institute of Physics)

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

C Park, RM Worth, LL Rubchinsky (2011) Neural dynamics in parkinsonian brain: the boundary between synchronized and nonsynchronized dynamics. Physical Review E. 83, 042901. (pdf, preprint arXiv:1103.0182, profiled in New Scientist).

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

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

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

LL Rubchinsky, N Kopell, KA 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.

JM Hurtado, LL Rubchinsky, KA Sigvardt, VL Wheelock, CTE Pappas (2005) Temporal evolution of oscillations and synchrony in GPi/muscle pairs in Parkinson's disease. J. Neurophysiol 93: 1569-1584.

LL Rubchinsky, N Kopell, KA Sigvardt (2003) Modeling facilitation and inhibition of competing motor programs in basal ganglia subthalamic nucleus - pallidal circuits. Proc. Nat. Acad. Sci. USA 100: 14427-14432.

 

 

Adaptive deep brain stimulation in Parkinson's disease

 

S Ratnadurai-Giridharan, CC Cheung, LL Rubchinsky (2017) 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 (pdf, preprint arXiv:1706:00976)

S Ahn, SE Zauber, RM Worth, LL Rubchinsky (2016) Synchronized beta-band oscillations in a model of the globus pallidus - subthalamic nucleus network under external input. Frontiers in Computational Neuroscience., 10:134.

A Dovzhenok, C Park, RM Worth, LL Rubchinsky (2013) Failure of Delayed Feedback Deep Brain Stimulation for Intermittent Pathological Synchronization in Parkinson's Disease. PLoS ONE 8(3): e58264. (preprint arXiv:1302.1758)

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

 

 

Dynamics and mechanisms of Parkinsonian tremor

 

A Dovzhenok, LL Rubchinsky (2012) On the Origin of Tremor in Parkinson's Disease. PLoS ONE 7(7): e41598.(preprint arXiv:1206.5811)

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

LL Rubchinsky, AS Kuznetsov, VL Wheelock, KA Sigvardt (2007) Tremor. Scholarpedia, 2(10): 1379.

JA Hurtado, LL Rubchinsky, KA 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.

JM Hurtado, LL Rubchinsky, KA Sigvardt, VL Wheelock, CTE Pappas (2005) Temporal evolution of oscillations and synchrony in GPi/muscle pairs in Parkinson's disease. J. Neurophysiol. 93: 1569-1584.

JM Hurtado, LL Rubchinsky, KA Sigvardt (2004) Statistical method for detection of phase locking episodes in neural oscillations. J. Neurophysiol. 91:1883-1898.

 

 

Neural oscillations and synchronization in addicted brain

 

AM McCane, S Ahn, LL Rubchinsky, SS Janetsian, DN Linsenbardt, CL Czachowski, CC Lapish (2018)  COMT inhibition alters cued-evoked oscillatory dynamics during alcohol drinking in the rat. eNeuro 5: ENEURO.0326-18.2018.

S Ahn, LL Rubchinsky, CC Lapish (2014)  Dynamical reorganization of synchronous activity patterns in prefrontal cortex - hippocampus networks during behavioral sensitization. Cerebral Cortex 24: 2553-2561. (pdf, profiled by IUPUI Newsroom)

S Ahn, DN Linsenbardt, CC Lapish, LL Rubchinsky (2013) 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.

 

 

Neural oscillations and synchronization in autism spectrum disorders

 

E Malaia, S Ahn, LL Rubchinsky (2020) Dysregulation of temporal dynamics of synchronous neural activity in adolescents on autism spectrum. Autism Research 13: 24-31. (pdf, preprint bioRxiv:813519)

 

 

Neurophysiology of Dystonia, Tourette syndrome, etc.

 

SE Zauber, S Ahn, RM Worth, LL Rubchinsky (2014) Oscillatory neural activity of anterormedial Globus Pallidus internus in Tourette syndrome. Clinical Neurophysiology 125:1923. (pdf)

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

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

 

 

Detection of synchronization of neural activity

 

LL Rubchinsky, S Ahn, C Park (2017) 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. (pdf)

LL Rubchinsky, S Ahn, C Park (2014)  Dynamics of desynchronized episodes in intermittent synchronization.  Frontiers in Computational Physics 2: 38. (preprint arXiv:1406.1537).

S Ahn, J Solfest, LL Rubchinsky (2014) Fine temporal structure of cardiorespiratory synchronization. American Journal of Physiology - Heart and Circulatory Physiology 306: H755-H763. (pdf, preprint arXiv:1401.0478).

S Ahn, C Park, LL Rubchinsky (2011) Detecting the temporal structure of intermittent phase locking. Physical Review E, 84, 016201. (pdf, preprint arXiv:1106.1120).

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

JM Hurtado, LL Rubchinsky, KA Sigvardt, VL Wheelock, CTE Pappas (2005). Temporal evolution of oscillations and synchrony in GPi/muscle pairs in Parkinson's disease. J. Neurophysiol. 93: 1569-1584.

JM Hurtado, LL Rubchinsky, KA Sigvardt (2004) Statistical method for detection of phase locking episodes in neural oscillations. J. Neurophysiol. 91:1883-1898.

 

 

Synchronization in neuronal systems

 

Q-A Nguyen, LL Rubchinsky (2021) Temporal patterns of synchrony in a pyramidal-interneuron gamma (PING) network. Chaos, 31: 043133. (pdf, preprint arXiv:2104.02163).

J Zirkle, LL Rubchinsky (2021) Noise effect on the temporal patterns of neural synchrony. Neural Networks, 141: 30-39. (pdf, preprint biorXiv:2021.03.22.436529).

J Zirkle, LL Rubchinsky (2020) Spike-timing dependent plasticity effect on the temporal patterning of neural synchronization. Frontiers in Computational Neuroscience, 14: 52. (preprint arXiv:2005.08411).

S Ahn, SE Zauber, RM Worth, T Witt, LL Rubchinsky (2018)Neural synchronization: average strength vs. temporal patterning. Clinical Neurophysiology, 129: 842-844. (pdf)

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

LL Rubchinsky, S Ahn, C Park (2017) 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.

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

S Ahn, LL Rubchinsky (2013) Short desynchronization episodes prevail in synchronous dynamics of human brain rhythms. Chaos 23: 013138. (pdf, preprint arXiv:1302.5866)

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

C Park, LL Rubchinsky (2012) Potential mechanisms for imperfect synchronization in parkinsonian basal ganglia. PLoS ONE, 7(12):e51530, 2012. (preprint arXiv:1211.1990)

C Park, LL Rubchinsky (2012) 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.

C Park, LL Rubchinsky (2011) Intermittent synchronization in a network of bursting neurons. Chaos, 21, 033125, 2011. (pdf, preprint arXiv:1109.2556, profiled in Physics News Highlights by American Institute of Physics)

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

C Park, RM Worth, LL Rubchinsky (2011) Neural dynamics in parkinsonian brain: the boundary between synchronized and nonsynchronized dynamics. Physical Review E. 83, 042901. (pdf, preprint arXiv:1103.0182, profiled in New Scientist).

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

JM Hurtado, LL Rubchinsky, KA Sigvardt, VL Wheelock, CTE Pappas (2005). Temporal evolution of oscillations and synchrony in GPi/muscle pairs in Parkinson's disease. J. Neurophysiol. 93: 1569-1584.

HDI Abarbanel, MI Rabinovich, A Selverston, MV Bazhenov, R Huerta, MM Sushchik, LL Rubchinskii (1996) Synchronization in neural networks. Uspekhi Fizicheskih Nauk 166: 363-390 (translated to English in Physics-Uspekhi 39: 337-362).

 

 

Synchronization in physiology

 

S Ahn, J Solfest, LL Rubchinsky (2014) Fine temporal structure of cardiorespiratory synchronization. American Journal of Physiology - Heart and Circulatory Physiology 306: H755-H763. (pdf, preprint arXiv:1401.0478).

 

 

Synchronization in ecology

 

S Ahn, LL Rubchinsky (2020) Temporal patterns of dispersal-induced synchronization in population dynamics. Journal of Theoretical Biology 490: 110159. (pdf, preprint arXiv:2001.03656)

 

 

Modeling simple neural systems

 

C Park, LL Rubchinsky, S Ahn (2021) Mathematical model of subthalamic nucleus neuron: characteristic activity patterns and bifurcation analysis. Chaos, 31: 113121. (preprint arXiv:2110.10299)

J Zirkle, LL Rubchinsky (2021) Noise effect on the temporal patterns of neural synchrony. Neural Networks, 141: 30-39. (pdf, preprint biorXiv:2021.03.22.436529).

J Zirkle, LL Rubchinsky (2020) Spike-timing dependent plasticity effect on the temporal patterning of neural synchronization. Frontiers in Computational Neuroscience, 14: 52. (preprint arXiv:2005.08411).

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

C Park, LL Rubchinsky (2012)  Potential mechanisms for imperfect synchronization in parkinsonian basal ganglia. PLoS ONE, 7(12):e51530, 2012. (preprint arXiv:1211.1990)

A Dovzhenok, LL Rubchinsky (2012) On the Origin of Tremor in Parkinson's Disease. PLoS ONE 7(7): e41598. (preprint arXiv:1206.5811)

C Park, LL Rubchinsky (2012) 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.

C Park, LL Rubchinsky (2011) Intermittent synchronization in a network of bursting neurons. Chaos, 21, 033125, 2011. (pdf, preprint arXiv:1109.2556, profiled in Physics News Highlights by American Institute of Physics)

M Rabinovich, A Selverston, L Rubchinsky, R Huerta (1996) Dynamics and kinematics of simple neural systems. Chaos 6: 288-296. (pdf)

M Bazhenov, M Rabinovich, L Rubchinsky (1996) An oscillatory neural network unit model. In Chaotic, Fractal, and Nonlinear Signal Processing. Ed. R.A. Katz. American Institute of Physics, 726-733.

MV Bazhenov, MI Rabinovich, LL Rubchinsky (1995) Simple neuronal model with complex oscillatory activity. Izv. VUZov Prikladnaya Nelineinaya Dinamika 4: 33-39. In Russian.

 

 

Synchronization, pattern formation, and chaos in networks of coupled oscillators

 

LL Rubchinsky, MM Sushchik, GV Osipov (2002) Patterns in networks of oscillators formed via synchronization and oscillator death. Mathematics and Computers in Simulation 58: 443-467. (pdf).

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

L Rubchinsky, M Sushchik (2000) 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.

L Rubchinsky, M Sushchik (1999) Anomalous relationship between spatial and temporal patterns of dynamical behavior. Int. J. Bifurcation and Chaos 9: 2329-2334.

 

 

Synchronization, pattern formation, and chaos in nonlinear media

 

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

MV Bazhenov, MI Rabinovich, LL Rubchinskii (1995) 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).

 

 

 

Finally, Neuroscience - is it really a science??? (Look at the opinion of Open Office 1.1.2)