Fluid limit theorems for stochastic hybrid systems with application to neuron models

A characterization of the first hitting time of double integral processes to curved boundaries

(2016) Jonathan Touboul et al.   ADVANCES IN APPLIED PROBABILITY

Diffusion approximation of birth–death processes: Comparison in terms of large deviations and exit points

(2010) Khashayar Pakdaman et al.   STATISTICS & PROBABILITY LETTERS

The emergence of the deterministic Hodgkin–Huxley equations as a limit from the underlying stochastic ion-channel mechanism

(2008) Tim D. Austin   ANNALS OF APPLIED PROBABILITY

Noise in the nervous system

(2008) A. Aldo Faisal et al.   NATURE REVIEWS NEUROSCIENCE

Stochastic hybrid modeling of DNA replication across a complete genome

(2008) J. Lygeros et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Rapid Neural Coding in the Retina with Relative Spike Latencies

(2008) T. Gollisch et al.   SCIENCE

Unstable Solutions of Nonautonomous Linear Differential Equations

(2008) Krešimir Josić et al.   SIAM REVIEW