Mean-return-time phase of a stochastic oscillator provides an approximate renewal description for the associated point process

Resolving molecular contributions of ion channel noise to interspike interval variability through stochastic shielding

(2021) Shusen Pu et al.   BIOLOGICAL CYBERNETICS

Interspike interval correlations in neuron models with adaptation and correlated noise

(2021) Lukas Ramlow et al.   PLoS Computational Biology

Isostables for Stochastic Oscillators

(2021) Alberto Pérez-Cervera et al.   PHYSICAL REVIEW LETTERS

A Partial Differential Equation for the Mean--Return-Time Phase of Planar Stochastic Oscillators

(2020) Alexander Cao et al.   SIAM JOURNAL ON APPLIED MATHEMATICS

Fast and Accurate Langevin Simulations of Stochastic Hodgkin-Huxley Dynamics

(2020) Shusen Pu et al.   NEURAL COMPUTATION

Enhanced Signal Detection by Adaptive Decorrelation of Interspike Intervals

(2020) William H. Nesse et al.   NEURAL COMPUTATION

Power Spectrum of a Noisy System Close to a Heteroclinic Orbit

(2017) Jordi Giner-Baldó et al.   JOURNAL OF STATISTICAL PHYSICS

Statistical structure of neural spiking under non-Poissonian or other non-white stimulation

(2015) Tilo Schwalger et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Interspike interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation

(2015) LieJune Shiau et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Thomas and Lindner Reply:

(2015) Peter J. Thomas et al.   PHYSICAL REVIEW LETTERS

Asymptotic Phase for Stochastic Oscillators

(2014) Peter J. Thomas et al.   PHYSICAL REVIEW LETTERS

Phase Description of Stochastic Oscillations

(2013) Justus T. C. Schwabedal et al.   PHYSICAL REVIEW LETTERS

Characteristic Effects of Stochastic Oscillatory Forcing on Neural Firing: Analytical Theory and Comparison to Paddlefish Electroreceptor Data

(2013) Christoph Bauermeister et al.   PLoS Computational Biology

Interspike-interval correlations induced by two-state switching in an excitable system

(2012) Tilo Schwalger et al.   EPL

Stochastic differential equation models for ion channel noise in Hodgkin-Huxley neurons

(2011) Joshua H. Goldwyn et al.   PHYSICAL REVIEW E

The What and Where of Adding Channel Noise to the Hodgkin-Huxley Equations

(2011) Joshua H. Goldwyn et al.   PLoS Computational Biology

Nonrenewal spike train statistics: causes and functional consequences on neural coding

(2011) Oscar Avila-Akerberg et al.   EXPERIMENTAL BRAIN RESEARCH

Biophysical information representation in temporally correlated spike trains

(2010) W. H. Nesse et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

How Noisy Adaptation of Neurons Shapes Interspike Interval Histograms and Correlations

(2010) Tilo Schwalger et al.   PLoS Computational Biology

Serial correlation in neural spike trains: Experimental evidence, stochastic modeling, and single neuron variability

(2009) Farzad Farkhooi et al.   PHYSICAL REVIEW E

Spontaneous Oscillations of a Minimal Actomyosin System under Elastic Loading

(2009) P.-Y. Plaçais et al.   PHYSICAL REVIEW LETTERS

Interspike interval statistics of a leaky integrate-and-fire neuron driven by Gaussian noise with large correlation times

(2008) Tilo Schwalger et al.   PHYSICAL REVIEW E

How Does Intracellular Ca2+ Oscillate: By Chance or by the Clock?

(2007) Alexander Skupin et al.   BIOPHYSICAL JOURNAL