Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review

C Bick, M Goodfellow, CR Laing… - The Journal of …, 2020 - Springer
Many biological and neural systems can be seen as networks of interacting periodic
processes. Importantly, their functionality, ie, whether these networks can perform their …

[HTML][HTML] Deep brain stimulation for psychiatric disorders: from focal brain targets to cognitive networks

CRP Sullivan, S Olsen, AS Widge - Neuroimage, 2021 - Elsevier
Deep brain stimulation (DBS) is a promising intervention for treatment-resistant psychiatric
disorders, particularly major depressive disorder (MDD) and obsessive-compulsive disorder …

Neural heterogeneity controls computations in spiking neural networks

R Gast, SA Solla, A Kennedy - Proceedings of the National …, 2024 - National Acad Sciences
The brain is composed of complex networks of interacting neurons that express
considerable heterogeneity in their physiology and spiking characteristics. How does this …

A universal route to explosive phenomena

C Kuehn, C Bick - Science advances, 2021 - science.org
Critical transitions are observed in many complex systems. This includes the onset of
synchronization in a network of coupled oscillators or the emergence of an epidemic state …

Perspectives on adaptive dynamical systems

J Sawicki, R Berner, SAM Loos, M Anvari… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Adaptivity is a dynamical feature that is omnipresent in nature, socio-economics, and
technology. For example, adaptive couplings appear in various real-world systems, such as …

Exact mean-field theory explains the dual role of electrical synapses in collective synchronization

E Montbrió, D Pazó - Physical review letters, 2020 - APS
Electrical synapses play a major role in setting up neuronal synchronization, but the precise
mechanisms whereby these synapses contribute to synchrony are subtle and remain …

Reduction methodology for fluctuation driven population dynamics

DS Goldobin, M Di Volo, A Torcini - Physical Review Letters, 2021 - APS
Lorentzian distributions have been largely employed in statistical mechanics to obtain exact
results for heterogeneous systems. Analytic continuation of these results is impossible even …

Detrended fluctuation, coherence, and spectral power analysis of activation rearrangement in EEG dynamics during cognitive workload

I Seleznov, I Zyma, K Kiyono, S Tukaev… - Frontiers in human …, 2019 - frontiersin.org
In the study of human cognitive activity using electroencephalogram (EEG), the brain
dynamics parameters and characteristics play a crucial role. They allow to investigate the …

Bursting in a next generation neural mass model with synaptic dynamics: a slow–fast approach

H Taher, D Avitabile, M Desroches - Nonlinear Dynamics, 2022 - Springer
We report a detailed analysis on the emergence of bursting in a recently developed neural
mass model that includes short-term synaptic plasticity. Neural mass models can mimic the …

Exact neural mass model for synaptic-based working memory

H Taher, A Torcini, S Olmi - PLOS Computational Biology, 2020 - journals.plos.org
A synaptic theory of Working Memory (WM) has been developed in the last decade as a
possible alternative to the persistent spiking paradigm. In this context, we have developed a …