39 citations · 81 across the 9 of their papers we have counts for
10 papers
Bifurcations of a neural network model with symmetry
Ross Parker, Andrea K. Barreiro
We analyze a family of clustered excitatory-inhibitory neural networks and the underlying bifurcation structures that arise because of permutation symmetries in the network as the…
Applications of a class of Herglotz operator pencils
Andrea K. Barreiro, Jared C. Bronski, Zoi Rapti
We identify a class of operator pencils, arising in a number of applications, which have only real eigenvalues. In the one-dimensional case we prove a novel version of the Sturm os…
A geometric method for eigenvalue problems with low rank perturbations
Thomas J. Anastasio, Andrea K. Barreiro, Jared C Bronski
We consider the problem of finding the spectrum of an operator taking the form of a low-rank (rank one or two) non-normal perturbation of a well-understood operator, motivated by a…
A Theoretical Framework for Analyzing Coupled Neuronal Networks: Application to the Olfactory System
Andrea K. Barreiro, Shree Hari Gautam, Woodrow L. Shew +1
Determining how synaptic coupling within and between regions is modulated during sensory processing is an important topic in neuroscience. Electrophysiological recordings provide d…
Practical Approximation Method for Firing Rate Models of Coupled Neural Networks with Correlated Inputs
Andrea K. Barreiro, Cheng Ly
Rapid experimental advances now enable simultaneous electrophysiological recording of neural activity at single-cell resolution across large regions of the nervous system. Models o…
When do Correlations Increase with Firing Rate?
Andrea K. Barreiro, Cheng Ly
A central question in neuroscience is to understand how noisy firing patterns are used to transmit information. Because neural spiking is noisy, spiking patterns are often quantifi…
Neural integrators for decision making: A favorable tradeoff between robustness and sensitivity
Nicholas Cain, Andrea K. Barreiro, Michael Shadlen +1
A key step in many perceptual decision tasks is the integration of sensory inputs over time, but fundamental questions remain about how this is accomplished in neural circuits. One…
The A-current and Type I / Type II transition determine collective spiking from common input
Andrea K. Barreiro, Evan L. Thilo, Eric Shea-Brown
The mechanisms and impact of correlated, or synchronous, firing among pairs and groups of neurons is under intense investigation throughout the nervous system. A ubiquitous circuit…
When are microcircuits well-modeled by maximum entropy methods?
Andrea K. Barreiro, Julijana Gjorgjieva, Fred Rieke +1
Describing the collective activity of neural populations is a daunting task: the number of possible patterns grows exponentially with the number of cells, resulting in practically…
Timescales of spike-train correlation for neural oscillators with common drive
Andrea K. Barreiro, Eric Shea-Brown, Evan L. Thilo
We examine the effect of the phase-resetting curve (PRC) on the transfer of correlated input signals into correlated output spikes in a class of neural models receiving noisy, supe…