ArticleFrontiers in computational neuroscience2009
Adaptive transition rates in excitable membranes.
Article in Frontiers in computational neuroscience, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- Dynamics of excitability in axonal trees.Biophysical journal · 2026Article
- A biophysical perspective on the resilience of neuronal excitability across timescales.Nature reviews. Neuroscience · 2023Review
- Dynamic clamp constructed phase diagram for the Hodgkin and Huxley model of excitability.Proceedings of the National Academy of Sciences of the United States of America · 2020Article
- Cellular function given parametric variation in the Hodgkin and Huxley model of excitability.Proceedings of the National Academy of Sciences of the United States of America · 2018Article
- Dynamical Timescale Explains Marginal Stability in Excitability Dynamics.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2017Article
- Synaptic dynamics contribute to long-term single neuron response fluctuations.Frontiers in neural circuits · 2014Article
- Entrainment of the intrinsic dynamics of single isolated neurons by natural-like input.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2013Article
- Voltage-sensor movements describe slow inactivation of voltage-gated sodium channels I: wild-type skeletal muscle Na(V)1.4.The Journal of general physiology · 2013Article
- Inferring network dynamics and neuron properties from population recordings.Frontiers in computational neuroscience · 2011Article
- Dynamics of excitability over extended timescales in cultured cortical neurons.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2010Article
- History-dependent Dynamics in a Generic Model of Ion Channels - an Analytic Study.Frontiers in computational neuroscience · 2010Article
- Adaptive response by state-dependent inactivation.Proceedings of the National Academy of Sciences of the United States of America · 2009Article
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1 author.
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Abstract
Adaptation of activity in excitable membranes occurs over a wide range of timescales. Standard computational approaches handle this wide temporal range in terms of multiple states and related reaction rates emanating from the complexity of ionic channels. The study described here takes a different (perhaps complementary) approach, by interpreting ion channel kinetics in terms of population dynamics. I show that adaptation in excitable membranes is reducible to a simple Logistic-like equation in which the essential non-linearity is replaced by a feedback loop between the history of activation and an adaptive transition rate that is sensitive to a single dimension of the space of inactive states. This physiologically measurable dimension contributes to the stability of the system and serves as a powerful modulator of input-output relations that depends on the patterns of prior activity; an intrinsic scale free mechanism for cellular adaptation that emerges from the microscopic biophysical properties of ion channels of excitable membranes.
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