65 citations · 136 across the 13 of their papers we have counts for
14 papers
Vesicle Translocation into Closed Constrictions as a Function of Molecular Motor Parameters
Youngmin Park, Thomas G. Fai
We study the dynamics of molecular motor-driven transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signal…
n:m Phase-Locking of Coupled Oscillators with Nonlinearities in Coupling Strength and Heterogeneity
Youngmin Park
We introduce a scalar reduction method for forced or coupled systems with nonlinearities in both heterogeneity and coupling strength. Heterogeneity is formulated as a relatively we…
N-Body Oscillator Interactions of Higher-Order Coupling Functions
Youngmin Park, Dan Wilson
We introduce a method to identify phase equations that include -body interactions for general coupled oscillators valid far beyond the weak coupling approximation. This strategy…
Coarse-grained Stochastic Model of Myosin-Driven Vesicles into Dendritic Spines
Youngmin Park, Prashant Singh, Thomas G. Fai
We study the dynamics of membrane vesicle motor transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signal…
Global asymptotic stability of the active disassembly model of flagellar length control
Thomas G. Fai, Youngmin Park
Organelle size control is a fundamental question in biology that demonstrates the fascinating ability of cells to maintain homeostasis within their highly variable environments. Th…
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators
Youngmin Park, Dan Wilson
We develop a general framework for identifying phase reduced equations for finite populations of coupled oscillators that is valid far beyond the weak coupling approximation. This…
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…
The Infinitesimal Phase Response Curves of Oscillators in Piecewise Smooth Dynamical Systems
Youngmin Park, Kendrick M. Shaw, Hillel J. Chiel +1
The asymptotic phase of an initial point in the stable manifold of a limit cycle identifies the phase of the point on the limit cycle to which the flow converges a…
Phase Resetting in an Asymptotically Phaseless System: On the Phase Response of Limit Cycles Verging on a Heteroclinic Orbit
Kendrick M. Shaw, Hillel J. Chiel, Peter J. Thomas
Rhythmic behaviors in neural systems often combine features of limit cycle dynamics (stability and periodicity) with features of near heteroclinic or near homoclinic cycle dynamics…