2002
Applying Hidden Markov Models to the Analysis of Single Ion Channel Activity
Venkataramanan L, Sigworth F. Applying Hidden Markov Models to the Analysis of Single Ion Channel Activity. Biophysical Journal 2002, 82: 1930-1942. PMID: 11916851, PMCID: PMC1301989, DOI: 10.1016/s0006-3495(02)75542-2.Peer-Reviewed Original ResearchConceptsCorrelated background noiseHidden Markov ModelDigital inverse filterMarkov model parametersDiscrete timeBaum-Welch algorithmMarkov modelComputational intensityDeterministic interferenceModel parametersInverse filterMultiple data setsAlgorithmPrevious resultsPractical applicationsNoise ratioState transitionsSharp frequencyData setsChannel dataSingle ion channel currentsNoiseExtensionRandomnessBackground noise
2000
Identification of hidden Markov models for ion channel currents .III. Bandlimited, sampled data
Venkataramanan L, Kuc R, Sigworth F. Identification of hidden Markov models for ion channel currents .III. Bandlimited, sampled data. IEEE Transactions On Signal Processing 2000, 48: 376-385. DOI: 10.1109/78.823965.Peer-Reviewed Original Research
1998
Identification of hidden Markov models for ion channel currents. I. Colored background noise
Venkataramanan L, Walsh J, Kuc R, Sigworth F. Identification of hidden Markov models for ion channel currents. I. Colored background noise. IEEE Transactions On Signal Processing 1998, 46: 1901-1915. DOI: 10.1109/78.700963.Peer-Reviewed Original ResearchBaum-Welch algorithmMarkov schemeMarkov processMarkov modelIon channel kineticsColored background noiseUnbiased estimatesHMM parametersBiased estimatesSignal processingHMM approachAlgorithmTraditional algorithmsNoiseNoise ratioIon channel currentsSingle ion channel currentsConventional analysisBackground noiseCurrentParametersEstimatesModelEstimationScheme
1990
Open channel noise. V. Fluctuating barriers to ion entry in gramicidin A channels
Heinemann S, Sigworth F. Open channel noise. V. Fluctuating barriers to ion entry in gramicidin A channels. Biophysical Journal 1990, 57: 499-514. PMID: 1689592, PMCID: PMC1280744, DOI: 10.1016/s0006-3495(90)82566-2.Peer-Reviewed Original Research
1988
Open channel noise. IV. Estimation of rapid kinetics of formamide block in gramicidin A channels
Heinemann S, Sigworth F. Open channel noise. IV. Estimation of rapid kinetics of formamide block in gramicidin A channels. Biophysical Journal 1988, 54: 757-764. PMID: 2465033, PMCID: PMC1330382, DOI: 10.1016/s0006-3495(88)83013-3.Peer-Reviewed Original ResearchConceptsBiological ion channelsGramicidin A channelsTime resolutionCurrent histogramFast time scaleOpen channel noiseCharacteristic timeNoise measurementsSingle-channel experimentsNoise experimentsDirect measurementTime scalesA channelsSpectral densityBandwidth limitationsCurrentTheoretical approachMeasurementsIon channelsBlocking processChannelsSingle-channel recordingsSingle-channel currentsNoiseDependence