ReviewJournal of mathematical neuroscience2018
Stochastic Hybrid Systems in Cellular Neuroscience.
Review in Journal of mathematical neuroscience, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
7 citing papers in PubMed.
- Large deviations of piecewise-deterministic Markov processes with application to stochastic calcium waves.Journal of mathematical biology · 2026Article
- Effect of Ion Channel Randomness on Sensitivity of Neurons to External Electromagnetic Fields: Computational Study.Entropy (Basel, Switzerland) · 2026Article
- A CaJournal of mathematical biology · 2025Article
- Modular architecture facilitates noise-driven control of synchrony in neuronal networks.Science advances · 2023Article
- Modelling the motion of organelles in an elongated cell via the coordination of heterogeneous drift-diffusion and long-range transport.The European physical journal. E, Soft matter · 2021Article
- Special Issue from the 2017 International Conference on Mathematical Neuroscience.Journal of mathematical neuroscience · 2019Article
- Learning Without Neurons: A Review of Associative Memory in Protists.The Journal of eukaryotic microbiologyReview
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors.
Funding
Abstract
We review recent work on the theory and applications of stochastic hybrid systems in cellular neuroscience. A stochastic hybrid system or piecewise deterministic Markov process involves the coupling between a piecewise deterministic differential equation and a time-homogeneous Markov chain on some discrete space. The latter typically represents some random switching process. We begin by summarizing the basic theory of stochastic hybrid systems, including various approximation schemes in the fast switching (weak noise) limit. In subsequent sections, we consider various applications of stochastic hybrid systems, including stochastic ion channels and membrane voltage fluctuations, stochastic gap junctions and diffusion in randomly switching environments, and intracellular transport in axons and dendrites. Finally, we describe recent work on phase reduction methods for stochastic hybrid limit cycle oscillators.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.