Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements

<p>Abstract</p> <p>Background</p> <p>Experimental results are commonly fitted by determining parameter values of suitable mathematical expressions. In case a relation exists between different data sets, the accuracy of the parameters obtained can be increased by incorpo...

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Main Authors: Zierhofer Clemens, Spitzer Philipp, Hochmair Erwin
Format: Article
Language:English
Published: BMC 2006-02-01
Series:BioMedical Engineering OnLine
Online Access:http://www.biomedical-engineering-online.com/content/5/1/13
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spelling doaj-79adfe261aed487795206a91932cc2912020-11-24T21:04:38ZengBMCBioMedical Engineering OnLine1475-925X2006-02-01511310.1186/1475-925X-5-13Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurementsZierhofer ClemensSpitzer PhilippHochmair Erwin<p>Abstract</p> <p>Background</p> <p>Experimental results are commonly fitted by determining parameter values of suitable mathematical expressions. In case a relation exists between different data sets, the accuracy of the parameters obtained can be increased by incorporating this relationship in the fitting process instead of fitting the recordings separately.</p> <p>Methods</p> <p>An algorithm to fit multiple measured curves simultaneously was developed. The method accounts for parameters that are <it>shared </it>by some curves. It can be applied to either linear or nonlinear equations. Simulated noisy "measurement results" were created to compare the introduced method to the "straight forward" way of fitting the curves separately.</p> <p>Results</p> <p>The analysis of the simulated measurements confirm, that the introduced method yields more accurate parameters compared to the ones gained by fitting the measurements separately. Therefore it needs more computer time. As an example, the new fitting algorithm is applied to the measurements of the evoked compound action potentials (ECAP) of the auditory nerve: This leads to promising ideas to reduce artefacts generated by the measuring process.</p> <p>Conclusion</p> <p>The introduced fitting algorithm uses the relationship between multiple measurement results to increase the accuracy of the parameters. Its application in the field of ECAP measurements is promising and should be further investigated.</p> http://www.biomedical-engineering-online.com/content/5/1/13
collection DOAJ
language English
format Article
sources DOAJ
author Zierhofer Clemens
Spitzer Philipp
Hochmair Erwin
spellingShingle Zierhofer Clemens
Spitzer Philipp
Hochmair Erwin
Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
BioMedical Engineering OnLine
author_facet Zierhofer Clemens
Spitzer Philipp
Hochmair Erwin
author_sort Zierhofer Clemens
title Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
title_short Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
title_full Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
title_fullStr Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
title_full_unstemmed Algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
title_sort algorithm for multi-curve-fitting with shared parameters and a possible application in evoked compound action potential measurements
publisher BMC
series BioMedical Engineering OnLine
issn 1475-925X
publishDate 2006-02-01
description <p>Abstract</p> <p>Background</p> <p>Experimental results are commonly fitted by determining parameter values of suitable mathematical expressions. In case a relation exists between different data sets, the accuracy of the parameters obtained can be increased by incorporating this relationship in the fitting process instead of fitting the recordings separately.</p> <p>Methods</p> <p>An algorithm to fit multiple measured curves simultaneously was developed. The method accounts for parameters that are <it>shared </it>by some curves. It can be applied to either linear or nonlinear equations. Simulated noisy "measurement results" were created to compare the introduced method to the "straight forward" way of fitting the curves separately.</p> <p>Results</p> <p>The analysis of the simulated measurements confirm, that the introduced method yields more accurate parameters compared to the ones gained by fitting the measurements separately. Therefore it needs more computer time. As an example, the new fitting algorithm is applied to the measurements of the evoked compound action potentials (ECAP) of the auditory nerve: This leads to promising ideas to reduce artefacts generated by the measuring process.</p> <p>Conclusion</p> <p>The introduced fitting algorithm uses the relationship between multiple measurement results to increase the accuracy of the parameters. Its application in the field of ECAP measurements is promising and should be further investigated.</p>
url http://www.biomedical-engineering-online.com/content/5/1/13
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AT spitzerphilipp algorithmformulticurvefittingwithsharedparametersandapossibleapplicationinevokedcompoundactionpotentialmeasurements
AT hochmairerwin algorithmformulticurvefittingwithsharedparametersandapossibleapplicationinevokedcompoundactionpotentialmeasurements
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