ArticleBiophysical journal1993
Single ion channel models incorporating aggregation and time interval omission.
Article in Biophysical journal, 1993. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed.
- Solid tissue simulating phantoms having absorption at 970 nm for diffuse optics.Journal of biomedical optics · 2017Article
- Using a five-state model for fitting amplitude histograms from MaxiK channels: beta-distributions reveal more than expected.European biophysics journal : EBJ · 2009Article
- Analysis of single ion channel data incorporating time-interval omission and sampling.Journal of the Royal Society, Interface · 2006Article
- The power of two-dimensional dwell-time analysis for model discrimination, temporal resolution, multichannel analysis and level detection.The Journal of membrane biology · 2006Article
- A subsequent fit of time series and amplitude histogram of patch-clamp records reveals rate constants up to 1 per microsecond.The Journal of membrane biology · 2005Article
- The effects of non-identifiability on testing for detailed balance in aggregated Markov models for ion-channel gating.Biophysical journal · 2000Article
- Single-channel activations and concentration jumps: comparison of recombinant NR1a/NR2A and NR1a/NR2D NMDA receptors.The Journal of physiology · 1998Article
- Detection of jumps in single-channel data containing subconductance levels.Biophysical journal · 1994Article
- Fast single-channel measurements resolve the blocking effect of Cs+ on the K+ channel.Biophysical journal · 1994Article
- Correction for missed events based on a realistic model of a detector.Biophysical journal · 1994Article
- Membrane potential fluctuations of human T-lymphocytes have fractal characteristics of fractional Brownian motion.Annals of biomedical engineeringArticle
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Authors and funding
6 authors.
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Abstract
We present a general theoretical framework, incorporating both aggregation of states into classes and time interval omission, for stochastic modeling of the dynamic aspects of single channel behavior. Our semi-Markov models subsume the standard continuous-time Markov models, diffusion models and fractal models. In particular our models allow for quite general distributions of state sojourn times and arbitrary correlations between successive sojourn times. Another key feature is the invariance of our framework with respect to time interval omission: that is, properties of the aggregated process incorporating time interval omission can be derived directly from corresponding properties of the process without it. Even in the special case when the underlying process is Markov, this leads to considerable clarification of the effects of time interval omission. Among the properties considered are equilibrium behavior, sojourn time distributions and their moments, and auto-correlation and cross-correlation functions. The theory is motivated by ion channel mechanisms drawn from the literature, and illustrated by numerical examples based on these.
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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.