Literature DB >> 1693478

Using fractals to understand the opening and closing of ion channels.

L S Liebovitch1, T I Tóth.   

Abstract

Looking at an old problem from a new perspective can sometimes lead to new ways of analyzing experimental data which may help in understanding the mechanisms that underlie the phenomena. We show how the application of fractals to analyze the patch clamp recordings of the sequence of open and closed times of cell membrane ion channels has led to a new description of ion channel kinetics. This new information has led to new models that imply: (a) ion channel proteins have many conformational states of nearly equal energy minima and many pathways connecting one conformational state to another, and (b) that these many states are not independent but are linked by physical mechanisms that result in the observed fractal scaling. The first result is consistent with many experiments, simulations, and theories of globular proteins developed over the last decade. The second result has stimulated the suggestion of several different physical mechanisms that could cause the fractal scalings observed.

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Year:  1990        PMID: 1693478     DOI: 10.1007/bf02368428

Source DB:  PubMed          Journal:  Ann Biomed Eng        ISSN: 0090-6964            Impact factor:   3.934


  29 in total

1.  A model of ion channel kinetics using deterministic chaotic rather than stochastic processes.

Authors:  L S Liebovitch; T I Toth
Journal:  J Theor Biol       Date:  1991-01-21       Impact factor: 2.691

2.  The effects of n-pentane on voltage-clamped squid nerve sodium currents. A reinterpretation using kinetics of ordered systems.

Authors:  K A Rubinson
Journal:  Biophys Chem       Date:  1986-11       Impact factor: 2.352

Review 3.  The surface compartment model: a theory of ion transport focused on ionic processes in the electrical double layers at membrane protein surfaces.

Authors:  M Blank
Journal:  Biochim Biophys Acta       Date:  1987-06-24

4.  Potassium channels in human and avian fibroblasts.

Authors:  A S French; L L Stockbridge
Journal:  Proc R Soc Lond B Biol Sci       Date:  1988-01-22

5.  The fractal random telegraph signal: signal analysis and applications.

Authors:  L S Liebovitch
Journal:  Ann Biomed Eng       Date:  1988       Impact factor: 3.934

6.  Fractal and Markov behavior in ion channel kinetics.

Authors:  A S French; L L Stockbridge
Journal:  Can J Physiol Pharmacol       Date:  1988-07       Impact factor: 2.273

7.  Testing fractal and Markov models of ion channel kinetics.

Authors:  L S Liebovitch
Journal:  Biophys J       Date:  1989-02       Impact factor: 4.033

8.  Continuum model of voltage-dependent gating. Macroscopic conductance, gating current, and single-channel behavior.

Authors:  D G Levitt
Journal:  Biophys J       Date:  1989-03       Impact factor: 4.033

9.  Rate-amplitude correlation from single-channel records. A hidden structure in ion channel gating kinetics?

Authors:  G L Millhauser; E E Salpeter; R E Oswald
Journal:  Biophys J       Date:  1988-12       Impact factor: 4.033

10.  Phase transitions and ion currents in a model ferroelectric channel unit.

Authors:  H R Leuchtag
Journal:  J Theor Biol       Date:  1987-08-07       Impact factor: 2.691

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  14 in total

1.  Subthreshold voltage noise due to channel fluctuations in active neuronal membranes.

Authors:  P N Steinmetz; A Manwani; C Koch; M London; I Segev
Journal:  J Comput Neurosci       Date:  2000 Sep-Oct       Impact factor: 1.621

2.  Neuronal activity in the substantia nigra in the anaesthetized rat has fractal characteristics. Evidence for firing-code patterns in the basal ganglia.

Authors:  M Rodríguez; E Pereda; J González; P Abdala; J A Obeso
Journal:  Exp Brain Res       Date:  2003-05-27       Impact factor: 1.972

3.  Fractal stochastic modeling of spiking activity in suprachiasmatic nucleus neurons.

Authors:  Sung-Il Kim; Jaeseung Jeong; Yongho Kwak; Yang In Kim; Seung Hun Jung; Kyoung J Lee
Journal:  J Comput Neurosci       Date:  2005-08       Impact factor: 1.621

Review 4.  Fractal geometry, fractal kinetics and chaos en route to biopharmaceutical sciences.

Authors:  P Macheras; P Argyrakis; C Polymilis
Journal:  Eur J Drug Metab Pharmacokinet       Date:  1996 Apr-Jun       Impact factor: 2.441

Review 5.  Fractal symmetry of protein interior: what have we learned?

Authors:  Anirban Banerji; Indira Ghosh
Journal:  Cell Mol Life Sci       Date:  2011-05-26       Impact factor: 9.261

6.  Membrane potential fluctuations of human T-lymphocytes have fractal characteristics of fractional Brownian motion.

Authors:  A M Churilla; W A Gottschalke; L S Liebovitch; L Y Selector; A T Todorov; S Yeandle
Journal:  Ann Biomed Eng       Date:  1996 Jan-Feb       Impact factor: 3.934

7.  Quantal neurotransmitter secretion rate exhibits fractal behavior.

Authors:  S B Lowen; S S Cash; M Poo; M C Teich
Journal:  J Neurosci       Date:  1997-08-01       Impact factor: 6.167

8.  Non-markovian gating of ca(2+)-activated k(+) channels in cultured kidney cells vero. Rescaled range analysis.

Authors:  K V Kochetkov; V N Kazachenko; O V Aslanidi; N K Chemeris; A B Gapeyev
Journal:  J Biol Phys       Date:  1999-06       Impact factor: 1.365

9.  Ion channel noise can explain firing correlation in auditory nerves.

Authors:  Bahar Moezzi; Nicolangelo Iannella; Mark D McDonnell
Journal:  J Comput Neurosci       Date:  2016-08-02       Impact factor: 1.621

10.  Fractal analysis and ionic dependence of endocytotic membrane activity of human breast cancer cells.

Authors:  Monika Krasowska; Zbigniew J Grzywna; Maria E Mycielska; Mustafa B A Djamgoz
Journal:  Eur Biophys J       Date:  2009-07-18       Impact factor: 1.733

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