54 citations · 264 across the 12 of their papers we have counts for
12 papers
Synchronization modes in bipartite oscillator networks
Pau Pomés, Bastian Pietras, Ernest Montbrió
Collective oscillations in neuronal systems often arise from interactions between excitatory and inhibitory populations rather than from recurrent coupling within a single ensemble…
Low-dimensional model for adaptive networks of spiking neurons
Bastian Pietras, Pau Clusella, Ernest Montbrió
We investigate a large ensemble of Quadratic Integrate-and-Fire (QIF) neurons with heterogeneous input currents and adaptation variables. Our analysis reveals that for a specific c…
Heterogeneous populations of quadratic integrate-and-fire neurons: on the generality of Lorentzian distributions
Bastian Pietras, Ernest Montbrió
Over the last decade, next-generation neural mass models have become increasingly prominent in mathematical neuroscience. These models link microscopic dynamics with low-dimensiona…
Pulse shape and voltage-dependent synchronization in spiking neuron networks
Bastian Pietras
Pulse-coupled spiking neural networks are a powerful tool to gain mechanistic insights into how neurons self-organize to produce coherent collective behavior. These networks use si…
Exact finite-dimensional description for networks of globally coupled spiking neurons
Bastian Pietras, Rok Cestnik, Arkady Pikovsky
We consider large networks of globally coupled spiking neurons and derive an exact low-dimensional description of their collective dynamics in the thermodynamic limit. Individual n…
Mesoscopic description of hippocampal replay and metastability in spiking neural networks with short-term plasticity
Bastian Pietras, Valentin Schmutz, Tilo Schwalger
Bottom-up models of functionally relevant patterns of neural activity provide an explicit link between neuronal dynamics and computation. A prime example of functional activity pat…
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
Pau Clusella, Bastian Pietras, Ernest Montbrió
We derive the Kuramoto model (KM) corresponding to a population of weakly coupled, nearly identical quadratic integrate-and-fire (QIF) neurons with both electrical and chemical cou…
Low-dimensional firing-rate dynamics for populations of renewal-type spiking neurons
Bastian Pietras, Noé Gallice, Tilo Schwalger
The macroscopic dynamics of large populations of neurons can be mathematically analyzed using low-dimensional firing-rate or neural-mass models. However, these models fail to captu…
An exact firing rate model reveals the differential effects of chemical versus electrical synapses in spiking networks
Bastian Pietras, Federico Devalle, Alex Roxin +2
Chemical and electrical synapses shape the dynamics of neuronal networks. Numerous theoretical studies have investigated how each of these types of synapses contributes to the gene…
First-order phase transitions in the Kuramoto model with compact bimodal frequency distributions
Bastian Pietras, Nicolás Deschle, Andreas Daffertshofer
The Kuramoto model of a network of coupled phase oscillators exhibits a first-order phase transition when the distribution of natural frequencies has a finite flat region at its ma…
Ott-Antonsen attractiveness for parameter-dependent oscillatory networks
Bastian Pietras, Andreas Daffertshofer
The Ott-Antonsen (OA) ansatz [Chaos 18, 037113 (2008), Chaos 19, 023117 (2009)] has been widely used to describe large systems of coupled phase oscillators. If the coupling is sinu…
Coupled networks and networks with bimodal frequency distributions are equivalent
Bastian Pietras, Nicolás Deschle, Andreas Daffertshofer
Populations of oscillators can display a variety of synchronization patterns depending on the oscillators' intrinsic coupling and the coupling between them. We consider two coupled…