Pulse coupled oscillators and the phase resetting curve

CC Canavier, S Achuthan - Mathematical biosciences, 2010 - Elsevier
Limit cycle oscillators that are coupled in a pulsatile manner are referred to as pulse coupled
oscillators. In these oscillators, the interactions take the form of brief pulses such that the …

Modulation of soleus H reflex by spinal DC stimulation in humans

JC Lamy, C Ho, A Badel, RT Arrigo… - Journal of …, 2012 - journals.physiology.org
Transcranial direct current stimulation (tDCS) of the human motor cortex induces changes in
excitability within cortical and spinal circuits that occur during and after the stimulation …

Differential effects of excitatory and inhibitory heterogeneity on the gain and asynchronous state of sparse cortical networks

JF Mejias, A Longtin - Frontiers in computational neuroscience, 2014 - frontiersin.org
Recent experimental and theoretical studies have highlighted the importance of cell-to-cell
differences in the dynamics and functions of neural networks, such as in different types of …

Phase resetting of collective rhythm in ensembles of oscillators

Z Levnajić, A Pikovsky - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
Phase resetting curves characterize the way a system with a collective periodic behavior
responds to perturbations. We consider globally coupled ensembles of Sakaguchi-Kuramoto …

Intrinsic cellular properties and connectivity density determine variable clustering patterns in randomly connected inhibitory neural networks

S Rich, V Booth, M Zochowski - Frontiers in neural circuits, 2016 - frontiersin.org
The plethora of inhibitory interneurons in the hippocampus and cortex play a pivotal role in
generating rhythmic activity by clustering and synchronizing cell firing. Results of our …

Controlling spike timing and synchrony in oscillatory neurons

T Stigen, P Danzl, J Moehlis… - Journal of …, 2011 - journals.physiology.org
We describe an algorithm to control synchrony between two periodically firing neurons. The
control scheme operates in real-time using a dynamic clamp platform. This algorithm is a low …

Three synaptic components contributing to robust network synchronization

Z Wang, H Fan, K Aihara - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
Robust synchronized activity is widely observed in real neural systems. However, a
mechanism for robust synchronization that can be understood analytically, and has a clear …

Synchrony with shunting inhibition in a feedforward inhibitory network

SS Talathi, DU Hwang, PR Carney, WL Ditto - Journal of computational …, 2010 - Springer
Recent experiments have shown that GABA A receptor mediated inhibition in adult
hippocampus is shunting rather than hyperpolarizing. Simulation studies of realistic …

Emergent gamma synchrony in all-to-all interneuronal networks

S Ratnadurai-Giridharan, PP Khargonekar… - Frontiers in …, 2015 - frontiersin.org
We investigate the emergence of in-phase synchronization in a heterogeneous network of
coupled inhibitory interneurons in the presence of spike timing dependent plasticity (STDP) …

Phase response theory extended to nonoscillatory network components

FH Sieling, S Archila, R Hooper, CC Canavier… - Physical Review E …, 2012 - APS
New tools for analysis of oscillatory networks using phase response theory (PRT) under the
assumption of pulsatile coupling have been developed steadily since the 1980s, but none …