An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method

An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method

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The convolution of the transmembrane current of an excitable cell and a weighting function generates a single fiber action potential (SFAP) model by using the volume conductor theory. Here, we propose an empirical muscle IAP model with multiple Erlang probability density functions (PDFs) based on a...

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Main Authors: Gyutae Kim, Mohammed M. Ferdjallah, Frederic D. McKenzie
Format: Article
Language:English
Published: SAGE Publishing 2013-01-01
Series:Biomedical Engineering and Computational Biology
Online Access:https://doi.org/10.4137/BECB.S11646
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spelling doaj-2df9d1e48a664519a6629d749d0317392020-11-25T03:40:29ZengSAGE PublishingBiomedical Engineering and Computational Biology1179-59722013-01-01510.4137/BECB.S11646An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton MethodGyutae Kim0Mohammed M. Ferdjallah1Frederic D. McKenzie2Department of Otolaryngology, Washington University School of Medicine, St. Louis, MO, USA.School of Engineering Technology, ECPI University, Virginia Beach, VA, USA.Department of Modeling, Simulation and Visualization Engineering, Old Dominion University, Norfolk, VA, USA.The convolution of the transmembrane current of an excitable cell and a weighting function generates a single fiber action potential (SFAP) model by using the volume conductor theory. Here, we propose an empirical muscle IAP model with multiple Erlang probability density functions (PDFs) based on a modified Newton method. In addition, we generate SFAPs based on our IAP model and referent sources, and use the peak-to-peak ratios (PPRs) of SFAPs for model verification. Through this verification, we find that the relation between an IAP profile and the PPR of its SFAP is consistent with some previous studies, and our IAP model shows close profiles to the referent sources. Moreover, we simulate and discuss some possible ionic activities by using the Erlang PDFs in our IAP model, which might present the underlying activities of ions or their channels during an IAP.https://doi.org/10.4137/BECB.S11646
collection DOAJ
language English
format Article
sources DOAJ
author Gyutae Kim
Mohammed M. Ferdjallah
Frederic D. McKenzie
spellingShingle Gyutae Kim
Mohammed M. Ferdjallah
Frederic D. McKenzie
An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method
Biomedical Engineering and Computational Biology
author_facet Gyutae Kim
Mohammed M. Ferdjallah
Frederic D. McKenzie
author_sort Gyutae Kim
title An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method
title_short An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method
title_full An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method
title_fullStr An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method
title_full_unstemmed An Empirical Muscle Intracellular Action Potential Model with Multiple Erlang probability Density Functions based on a Modified Newton Method
title_sort empirical muscle intracellular action potential model with multiple erlang probability density functions based on a modified newton method
publisher SAGE Publishing
series Biomedical Engineering and Computational Biology
issn 1179-5972
publishDate 2013-01-01
description The convolution of the transmembrane current of an excitable cell and a weighting function generates a single fiber action potential (SFAP) model by using the volume conductor theory. Here, we propose an empirical muscle IAP model with multiple Erlang probability density functions (PDFs) based on a modified Newton method. In addition, we generate SFAPs based on our IAP model and referent sources, and use the peak-to-peak ratios (PPRs) of SFAPs for model verification. Through this verification, we find that the relation between an IAP profile and the PPR of its SFAP is consistent with some previous studies, and our IAP model shows close profiles to the referent sources. Moreover, we simulate and discuss some possible ionic activities by using the Erlang PDFs in our IAP model, which might present the underlying activities of ions or their channels during an IAP.
url https://doi.org/10.4137/BECB.S11646
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