TY  - GEN
A1  - Erra, Ramon Guevara
A1  - Velazquez, Jose L. Perez
A1  - Rosenblum, Michael
T1  - Neural Synchronization from the Perspective of Non-linear Dynamics
T2  - Frontiers in computational neuroscience / Frontiers Research Foundation
KW  - brain synchronization
KW  - non-linear dynamics
KW  - neural synchonization
KW  - brain rhythms
KW  - epilepsy
Y1  - 2017
U6  - https://doi.org/10.3389/fncom.2017.00098
SN  - 1662-5188
VL  - 11
PB  - Frontiers Research Foundation
CY  - Lausanne
ER  - 
TY  - JOUR
A1  - Cestnik, Rok
A1  - Rosenblum, Michael
T1  - Reconstructing networks of pulse-coupled oscillators from spike trains
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We present an approach for reconstructing networks of pulse-coupled neuronlike oscillators from passive observation of pulse trains of all nodes. It is assumed that units are described by their phase response curves and that their phases are instantaneously reset by incoming pulses. Using an iterative procedure, we recover the properties of all nodes, namely their phase response curves and natural frequencies, as well as strengths of all directed connections.
Y1  - 2017
U6  - https://doi.org/10.1103/PhysRevE.96.012209
SN  - 2470-0045
SN  - 2470-0053
VL  - 96
SP  - 3455
EP  - 3461
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - JOUR
A1  - Goldobin, Denis S.
A1  - Pimenova, Anastasiya V.
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
T1  - Competing influence of common noise and desynchronizing coupling on synchronization in the Kuramoto-Sakaguchi ensemble
JF  - European physical journal special topics
N2  - We describe analytically synchronization and desynchronization effects in an ensemble of phase oscillators driven by common noise and by global coupling. Adopting the Ott-Antonsen ansatz, we reduce the dynamics to closed stochastic equations for the order parameters, and study these equations for the cases of populations of identical and nonidentical oscillators. For nonidentical oscillators we demonstrate a counterintuitive effect of divergence of individual frequencies for moderate repulsive coupling, while the order parameter remains large.
Y1  - 2017
U6  - https://doi.org/10.1140/epjst/e2017-70039-y
SN  - 1951-6355
SN  - 1951-6401
VL  - 226
SP  - 1921
EP  - 1937
PB  - Springer
CY  - Heidelberg
ER  - 
TY  - JOUR
A1  - Popovych, Oleksandr V.
A1  - Lysyansky, Borys
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Tass, Peter A.
T1  - Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation
JF  - PLoS one
N2  - High-frequency (HF) deep brain stimulation (DBS) is the gold standard for the treatment of medically refractory movement disorders like Parkinson’s disease, essential tremor, and dystonia, with a significant potential for application to other neurological diseases. The standard setup of HF DBS utilizes an open-loop stimulation protocol, where a permanent HF electrical pulse train is administered to the brain target areas irrespectively of the ongoing neuronal dynamics. Recent experimental and clinical studies demonstrate that a closed-loop, adaptive DBS might be superior to the open-loop setup. We here combine the notion of the adaptive high-frequency stimulation approach, that aims at delivering stimulation adapted to the extent of appropriately detected biomarkers, with specifically desynchronizing stimulation protocols. To this end, we extend the delayed feedback stimulation methods, which are intrinsically closed-loop techniques and specifically designed to desynchronize abnormal neuronal synchronization, to pulsatile electrical brain stimulation. We show that permanent pulsatile high-frequency stimulation subjected to an amplitude modulation by linear or nonlinear delayed feedback methods can effectively and robustly desynchronize a STN-GPe network of model neurons and suggest this approach for desynchronizing closed-loop DBS.
Y1  - 2017
U6  - https://doi.org/10.1371/journal.pone.0173363
SN  - 1932-6203
VL  - 12
PB  - PLoS
CY  - San Fransisco
ER  -