1 citations · 1 across the 1 of their papers we have counts for
6 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…