ArticleBiophysical journal1989
Markov, fractal, diffusion, and related models of ion channel gating. A comparison with experimental data from two ion channels.
Article in Biophysical journal, 1989. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 25 papers.
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25 citing papers in PubMed, 110 citations in OpenAlex.
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- Moving average filtering with deconvolution (MAD) for hidden Markov model with filtering and correlated noise.European biophysics journal : EBJ · 2019Article
- Sensing Magnetic Fields with Magnetosensitive Ion Channels.Sensors (Basel, Switzerland) · 2018Article
- Ion channel noise can explain firing correlation in auditory nerves.Journal of computational neuroscience · 2016Article
- Revealing the activation pathway for TMEM16A chloride channels from macroscopic currents and kinetic models.Pflugers Archiv : European journal of physiology · 2016Article
- Nonlinear and Stochastic Dynamics in the Heart.Physics reports · 2014Article
- Statistical assessment of change point detectors for single molecule kinetic analysis.The Journal of membrane biology · 2013Article
- Gating of maxi channels observed from pseudo-phase portraits.American journal of physiology. Cell physiology · 2013Article
- Test of normality for integrated change point detection and mixture modeling.The Journal of membrane biology · 2013Article
- On the simple random-walk models of ion-channel gate dynamics reflecting long-term memory.European biophysics journal : EBJ · 2012Article
- Quantitative analysis of DNA-looping kinetics from tethered particle motion experiments.Methods in enzymology · 2010Article
- Statistical properties of the dichotomous noise generated in biochemical processes.Cellular & molecular biology letters · 2008Article
- Statistical properties of ion channel records. Part II: estimation from the macroscopic current.Mathematical biosciences · 2007Article
- Ligand-gated ion channel currents in a nonstationary lyotropic model.Neurochemical research · 2003Review
- Ion channel gating: a first-passage time analysis of the Kramers type.Proceedings of the National Academy of Sciences of the United States of America · 2002Article
- Time course of reactions controlled and gated by intramolecular dynamics of proteins: predictions of the model of random walk on fractal lattices.Proceedings of the National Academy of Sciences of the United States of America · 1998Article
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6 authors at 1 institution in 1 country.
Funding
Abstract
The gating kinetics of single-ion channels are generally modeled in terms of Markov processes with relatively small numbers of channel states. More recently, fractal (Liebovitch et al. 1987. Math. Biosci. 84:37-68) and diffusion (Millhauser et al. 1988. Proc. Natl. Acad. Sci. USA. 85:1502-1507) models of channel gating have been proposed. These models propose the existence of many similar conformational substrates of the channel protein, all of which contribute to the observed gating kinetics. It is important to determine whether or not Markov models provide the most accurate description of channel kinetics if progress is to be made in understanding the molecular events of channel gating. In this study six alternative classes of gating model are tested against experimental single-channel data. The single-channel data employed are from (a) delayed rectifier K+ channels of NG 108-15 cells and (b) locust muscle glutamate receptor channels. The models tested are (a) Markov, (b) fractal, (c) one-dimensional diffusion, (d) three-dimensional diffusion, (e) stretched exponential, and (f) expo-exponential. The models are compared by fitting the predicted distributions of channel open and closed times to those observed experimentally. The models are ranked in order of goodness-of-fit using a boot-strap resampling procedure. The results suggest that Markov models provide a markedly better description of the observed open and closed time distributions for both types of channel. This provides justification for the continued use of Markov models to explore channel gating mechanisms.
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