Fitting and Statistical Analysis of Single-Channel Records

The aims of analysis of single channel records can be considered in two categories. The first is to allow one to observe results at leisure in order to determine their qualitative features. It may, for example, be found that the single-channel currents were not all of the same amplitude or that they showed obvious grouping into bursts or that artifacts appeared on the record that might be misleading. These effects are often not easy to see on the oscilloscope screen as an experiment proceeds (especially since it is common practice for the signal to be rather heavily filtered for observation during the experiment). For this aim to be fulfilled, highly automated methods of analysis are not desirable.

[1]  R. O'Neill Algorithm AS 47: Function Minimization Using a Simplex Procedure , 1971 .

[2]  B. Sakmann,et al.  Multiple conductance states of single acetylcholine receptor channels in embryonic muscle cells , 1981, Nature.

[3]  R Horn,et al.  Estimating kinetic constants from single channel data. , 1983, Biophysical journal.

[4]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[5]  E Neher,et al.  The charge carried by single‐channel currents of rat cultured muscle cells in the presence of local anaesthetics. , 1983, The Journal of physiology.

[6]  R Horn,et al.  Effect of N-bromoacetamide on single sodium channel currents in excised membrane patches , 1982, The Journal of general physiology.

[7]  E Neher,et al.  Substance P reduces acetylcholine‐induced currents in isolated bovine chromaffin cells. , 1984, The Journal of physiology.

[8]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[9]  I. D. Hill Remark AS R28: A Remark on Algorithm AS 47: Function Minimization Using a Simplex Procedure , 1978 .

[10]  E Neher,et al.  Sodium and calcium channels in bovine chromaffin cells , 1982, The Journal of physiology.

[11]  David Colquhoun,et al.  Lectures on biostatistics , 1972 .

[12]  E. Beale,et al.  Confidence Regions in Non‐Linear Estimation , 1960 .

[13]  Bliss Ci,et al.  Fitting the rectangular hyperbola. , 1966 .

[14]  Richard W. Hamming,et al.  Numerical Methods for Scientists and Engineers , 1962 .

[15]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[16]  I. M. Jacobs,et al.  Principles of Communication Engineering , 1965 .

[17]  Richard Fitzhugh,et al.  Statistical properties of the asymmetric random telegraph signal, with applications to single-channel analysis , 1983 .

[18]  E. Neher,et al.  Single acetylcholine-activated channels show burst-kinetics in presence of desensitizing concentrations of agonist , 1980, Nature.

[19]  B. Sakmann,et al.  Fluctuations in the microsecond time range of the current through single acetylcholine receptor ion channels , 1981, Nature.

[20]  K L Magleby,et al.  Burst kinetics of single calcium‐activated potassium channels in cultured rat muscle. , 1983, The Journal of physiology.

[21]  George E. P. Box,et al.  Application of digital computers in the exploration of functional relationships , 1956 .

[22]  C. F. Stevens,et al.  A reinterpretation of mammalian sodium channel gating based on single channel recording , 1983, Nature.

[23]  Jerrold H. Zar Approximations for the Percentage Points of the Chi‐Squared Distribution , 1978 .

[24]  A. Papoulis Signal Analysis , 1977 .

[25]  Calyampudi Radhakrishna Rao,et al.  Linear Statistical Inference and its Applications , 1967 .

[26]  A. Hawkes,et al.  On the stochastic properties of single ion channels , 1981, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[27]  M B Jackson,et al.  Successive openings of the same acetylcholine receptor channel are correlated in open time. , 1983, Biophysical journal.

[28]  E. Neher,et al.  Local anaesthetics transiently block currents through single acetylcholine‐receptor channels. , 1978, The Journal of physiology.

[29]  Calyampudi R. Rao,et al.  Linear Statistical Inference and Its Applications. , 1975 .

[30]  A. Hawkes,et al.  On the stochastic properties of bursts of single ion channel openings and of clusters of bursts. , 1982, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.