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Found 9 papers, 7 papers with code
N-Body Oscillator Interactions of Higher-Order Coupling Functions
Second, we use $N=3$ realistic conductance-based thalamic neuron models and show that our method correctly predicts a loss in stability of a splay state for non-weak synaptic coupling.
Models of Vimentin Organization Under Actin-Driven Transport
This modeling approach allows us to conclude that our experimental data are best explained by a spatially dependent trapping of intermediate filaments or a spatially dependent speed of actin-dependent transport.
Coarse-grained Stochastic Model of Myosin-Driven Vesicles into Dendritic Spines
We consider the stochastic analog of the vesicle transport model in [Park and Fai, The Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors.
High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators
First, we use diffusively coupled complex Ginzburg-Landau (CGL) model and demonstrate that our theory accurately predicts bifurcations far beyond the range of existing coupling theory.
Adaptation and Self-Organizing Systems Dynamical Systems
Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors
The model's key parameters are the ratio of motors that prefer to push toward the head of the dendritic spine to the ratio of motors that prefer to push in the opposite direction.
Cell Behavior Subcellular Processes
Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation
We also show existence and stability of constant velocity solutions on both domains using Evans functions.
Neurons and Cognition Pattern Formation and Solitons
The Utility of Phase Models in Studying Neural Synchronization
The phase response curves and the form of coupling between reciprocally coupled oscillators defines the phase interaction function, which in turn predicts the synchronization outcome (in-phase versus anti-phase) and the rate of convergence.
Weakly Coupled Oscillators in a Slowly Varying World
We extend the theory of weakly coupled oscillators to incorporate slowly varying inputs and parameters.
Dynamical Systems Neurons and Cognition
