1 citations · 1 across the 2 of their papers we have counts for
7 papers
Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors
Youngmin Park, Thomas G. Fai
We study the dynamics of a model of membrane vesicle transport into dendritic spines, which are bulbous intracellular compartments in neurons driven by molecular motors. We reduce…
Recent Advances in Coupled Oscillator Theory
Bard Ermentrout, Youngmin Park, Dan Wilson
We review the theory of weakly coupled oscillators for smooth systems. We then examine situations where application of the standard theory falls short and illustrate how it can be…
A multiple timescales approach to bridging spiking- and population-level dynamics
Youngmin Park, G. Bard Ermentrout
A rigorous bridge between spiking-level and macroscopic quantities is an on-going and well-developed story for asynchronously firing neurons, but focus has shifted to include neura…
Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation
Youngmin Park, G. Bard Ermentrout
We study a deterministic version of a one- and two-dimensional attractor neural network model of hippocampal activity first studied by Itskov et al 2011. We analyze the dynamics of…
The Utility of Phase Models in Studying Neural Synchronization
Youngmin Park, Stewart Heitmann, G. Bard Ermentrout
Synchronized neural spiking is associated with many cognitive functions and thus, merits study for its own sake. The analysis of neural synchronization naturally leads to the study…
Weakly Coupled Oscillators in a Slowly Varying World
Youngmin Park, Bard Ermentrout
We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters. We employ a combination of regular perturbation and an adiabatic approximati…