26 citations · 57 across the 6 of their papers we have counts for
6 papers
Distinct dynamical behavior in Erdős-Rényi networks, regular random networks, ring lattices, and all-to-all neuronal networks
Marinho A. Lopes, Alexander V. Goltsev
Neuronal network dynamics depends on network structure. In this paper we study how network topology underpins the emergence of different dynamical behaviors in neuronal networks. I…
A neuronal network model of interictal and recurrent ictal activity
Marinho A. Lopes, KyoungEun Lee, Alexander V. Goltsev
We propose a neuronal network model which undergoes a saddle-node bifurcation on an invariant circle as the mechanism of the transition from the interictal to the ictal (seizure) s…
Noise-enhanced nonlinear response and the role of modular structure for signal detection in neuronal networks
M. A. Lopes, K. -E. Lee, A. V. Goltsev +1
We find that sensory noise delivered together with a weak periodic signal not only enhances nonlinear response of neuronal networks, but also improves the synchronization of the re…
Critical phenomena and noise-induced phase transitions in neuronal networks
K. -E. Lee, M. A. Lopes, J. F. F. Mendes +1
We study numerically and analytically first- and second-order phase transitions in neuronal networks stimulated by shot noise (a flow of random spikes bombarding neurons). Using an…
Neural networks with dynamical synapses: from mixed-mode oscillations and spindles to chaos
K. -E. Lee, A. V. Goltsev, M. A. Lopes +1
Understanding of short-term synaptic depression (STSD) and other forms of synaptic plasticity is a topical problem in neuroscience. Here we study the role of STSD in the formation…
Critical and resonance phenomena in neural networks
A. V. Goltsev, M. A. Lopes, K. -E. Lee +1
Brain rhythms contribute to every aspect of brain function. Here, we study critical and resonance phenomena that precede the emergence of brain rhythms. Using an analytical approac…