Browsing by Author "Cai, David"
Now showing items 1-7 of 7
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Characterization of thermalized Fermi-Pasta-Ulam chains
Gershgorin, Boris (Rensselaer Polytechnic Institute, Troy, NY, 2007-08) -
Data compression in sensory processing
Barranca, Victor (Rensselaer Polytechnic Institute, Troy, NY, 2013-05)Along the early stages of many sensory pathways, significant downstream reductions occur in the numbers of neurons transmitting stimuli. To understand how much information is lost due to such a reduction, we investigate ... -
Effective dispersion relation and waveaction spectrum for fully nonlinear MMT model
Schwarz, Michael H. (Rensselaer Polytechnic Institute, Troy, NY, 2016-08)We investigate a version of the Majda-McLaughlin-Tabak model of dispersive wave turbulence with no linear dispersion. In particular, we make predictions for the waveaction spectrum and the effective dispersion relation, ... -
Idealized models of insect olfaction
Pyzza, Pamela Beth (Rensselaer Polytechnic Institute, Troy, NY, 2015-08)When a locust detects an odor, the stimulus triggers a specific sequence of network dynamics of the neurons in its antennal lobe. The odor response begins with a series of synchronous oscillations, followed by a short ... -
On solutions to integrable and nonintegrable nonlinear wave equations
Leisman, Katelyn Plaisier (Rensselaer Polytechnic Institute, Troy, NY, 2017-08)All linear wave equations with constant coefficients have analytical solutions that are superpositions of plane waves which satisfy the dispersion relation of the linear wave equation. In general, however, nonlinear wave ... -
Synchrony in stochastically-driven neuronal network models
Newhall, Katherine A. (Rensselaer Polytechnic Institute, Troy, NY, 2011-08) -
The role of electrotonic junctions between pyramidal cells in the cortex
Crodelle, Jennifer A. (Rensselaer Polytechnic Institute, Troy, NY, 2017-08)We validate this model by replicating experimentally-observed behavior exhibited by pairs of electrically-connected neurons, both excitatory and inhibitory. We then show that the inclusion of pair-wise electrotonic junctions ...