Document Detail

Estimation of kinetic rate constants from multi-channel recordings by a direct fit of the time series.
MedLine Citation:
PMID:  7529579     Owner:  NLM     Status:  MEDLINE    
The maximum-likelihood technique for the direct estimation of rate constants from the measured patch clamp current is extended to the analysis of multi-channel recordings, including channels with subconductance levels. The algorithm utilizes a simplified approach for the calculation of the matrix exponentials of the probability matrix from the rate constants of the Markov model of the involved channel(s) by making use of the Kronecker sum and product. The extension to multi-channel analysis is tested by the application to simulated data. For these tests, three different channel models were selected: a two-state model, a three-state model with two open states of different conductance, and a three-state model with two closed states. For the simulations, time series of these models were calculated from the related first-order, finite-state, continuous-time Markov processes. Blue background noise was added, and the signals were filtered by a digital filter similar to the anti-aliasing low-pass. The tests showed that the fit algorithm revealed good estimates of the original rate constants from time series of simulated records with up to four independent and identical channels even in the case of signal-to-noise ratios being as low as 2. The number of channels in a record can be determined from the dependence of the likelihood on channel number. For large enough data sets, it takes on a maximum when the assumed channel number is equal to the "true" channel number.
A Albertsen; U P Hansen
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  Biophysical journal     Volume:  67     ISSN:  0006-3495     ISO Abbreviation:  Biophys. J.     Publication Date:  1994 Oct 
Date Detail:
Created Date:  1995-02-13     Completed Date:  1995-02-13     Revised Date:  2010-09-13    
Medline Journal Info:
Nlm Unique ID:  0370626     Medline TA:  Biophys J     Country:  UNITED STATES    
Other Details:
Languages:  eng     Pagination:  1393-403     Citation Subset:  IM    
Institut für Angewandte Physik, Christian-Albrechts-Universität, Kiel, Germany.
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MeSH Terms
Biological Transport
Electric Conductivity
Ion Channel Gating
Ion Channels / physiology*
Models, Statistical
Models, Theoretical*
Time Factors
Reg. No./Substance:
0/Ion Channels

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