Metastability in a Stochastic Neural Network Modeled as a Velocity Jump Markov Process
From MaRDI portal
Publication:2871367
DOI10.1137/120898978zbMath1278.92005arXiv1304.6960OpenAlexW3104355884MaRDI QIDQ2871367
Paul C. Bressloff, Jay M. Newby
Publication date: 22 January 2014
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.6960
rare eventsstochastic processesmetastabilityWKB approximationmaster equationssingular perturbation theory
Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)
Related Items
Exact and WKB-approximate distributions in a gene expression model with feedback in burst frequency, burst size, and protein stability ⋮ Regularity and stability for the semigroup of jump diffusions with state-dependent intensity ⋮ Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks ⋮ Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits ⋮ A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministic-Markov-process limit ⋮ Stochastic Switching in Infinite Dimensions with Applications to Random Parabolic PDE ⋮ A variational method for analyzing limit cycle oscillations in stochastic hybrid systems ⋮ Quasi-steady-state approximations derived from the stochastic model of enzyme kinetics ⋮ A stochastic model of input effectiveness during irregular gamma rhythms ⋮ Stochastic hybrid systems in cellular neuroscience ⋮ Dynamics of vesicles driven into closed constrictions by molecular motors ⋮ Stochastic switching in biology: from genotype to phenotype ⋮ Noise induced escape in one-population and two-population stochastic neural networks with internal states ⋮ Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics ⋮ On the Hamiltonian structure of large deviations in stochastic hybrid systems ⋮ Finite-size effects on traveling wave solutions to neural field equations ⋮ Generalizing Parallel Replica Dynamics: Trajectory Fragments, Asynchronous Computing, and PDMPs ⋮ Coherent spin states and stochastic hybrid path integrals ⋮ Stochastic Neural Field Theory ⋮ Stochastic Active-Transport Model of Cell Polarization ⋮ Construction of stochastic hybrid path integrals using operator methods
