stochastic dynamics and bifurcation

Intrinsic Ionic Mechanisms Underlying Burst Firing in Spontaneously Active Dorsal Horn Parvalbumin Interneurons

The paper develops a stochastic HH model to study intrinsic ionic mechanisms driving spontaneous firing in spPVINs, revealing how Ih and noise contribute to irregular bursting and circuit inhibition.

An Analytical Description for Action Potential Thresholds Defined by Concavity Changes

The paper introduces a mathematical framework to define action potential thresholds by analyzing concavity changes in membrane potential trajectories, providing a rigorous measure of excitability across different biological systems.

Temperature-Induced Bifurcations and Timescale Warping in the Hodgkin-Huxley Model: Dynamical Systems Insights into Temperature Modulation of Neuronal Excitability and Action Potential Morphology

This study uses the Hodgkin-Huxley model to analyze how temperature changes affect neuronal firing patterns and excitability through bifurcation analysis.

Temperature Induced Codimension-One and Codimension-Two Bifurcations in Hodgkin-Huxley Neurons

This study analyzes how temperature changes affect neuronal firing patterns using the Hodgkin-Huxley model, revealing bifurcation shifts and excitability changes.

Noisy neural systems with static and dynamic Hopf bifurcation parameters

The paper studies stochastic neural oscillations in systems with Hopf bifurcations, introducing quasi-limit-cycles and showing their similarity to deterministic limit cycles under noise.

Characterizing the role of autaptic feedback in enhancing precision of neuronal firing times

This paper models autaptic feedback in neurons to show how it can enhance the precision of action potential firing times through noise reduction mechanisms.

Stochastic analysis of frequency bandwidth and noise attenuation in neurotransmission

This paper models neurotransmitter release and postsynaptic action potential firing using a stochastic hybrid system, showing how stochasticity affects transmission precision and frequency limits.

Noise facilitates entrainment of a population of uncoupled limit cycle oscillators

The paper shows that noise improves synchronization of a population of oscillators to external signals by increasing sensitivity and speeding up adjustment to phase changes.

Role of slow temporal dynamics in reliableactivity of stochastically driven neurons

The paper investigates how stochastic noise affects the firing patterns of a neuronal network motif and shows that slow temporal dynamics enhance noise tolerance and rhythmic activity.

Intrinsic noise modulation in closed oligomerization-type systems

The paper analyzes how intrinsic noise in oligomerization systems depends on reaction cooperativity and system complexity, finding that higher cooperativity reduces noise in products while increasing noise in reactants.

Modeling noise mechanisms in neuronal synaptic transmission

The paper develops a stochastic model of synaptic transmission noise and analyzes its impact on spike timing variability and information processing.