Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.

Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.

In this thesis we developed the Green's Function for a tapered equivalent cylinder model of dendritic electrical propagation. We then use the Green's Function to develop a Carleman linear embedding scheme which is used to estimate the effects of a nonlinear ion channel hot-spot on the tape...

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Bibliographic Details
Main Author: La Voie, Scott Lewis
Format: Others
Published: Digital Commons @ East Tennessee State University 2003
Subjects:
Cable theory
Carleman linear embedding
neuron
somatic shunt
Physical Sciences and Mathematics
Online Access:https://dc.etsu.edu/etd/765
https://dc.etsu.edu/cgi/viewcontent.cgi?article=1922&context=etd
id ndltd-ETSU-oai-dc.etsu.edu-etd-1922
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spelling ndltd-ETSU-oai-dc.etsu.edu-etd-19222019-05-16T04:45:52Z Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation. La Voie, Scott Lewis In this thesis we developed the Green's Function for a tapered equivalent cylinder model of dendritic electrical propagation. We then use the Green's Function to develop a Carleman linear embedding scheme which is used to estimate the effects of a nonlinear ion channel hot-spot on the tapered cylinder solution. Mathematica© was used to implement the Carleman embedding scheme. 2003-05-03T07:00:00Z text application/pdf https://dc.etsu.edu/etd/765 https://dc.etsu.edu/cgi/viewcontent.cgi?article=1922&context=etd Copyright by the authors. Electronic Theses and Dissertations Digital Commons @ East Tennessee State University Cable theory Carleman linear embedding neuron somatic shunt Physical Sciences and Mathematics
collection NDLTD
format Others
sources NDLTD
topic Cable theory
Carleman linear embedding
neuron
somatic shunt
Physical Sciences and Mathematics
spellingShingle Cable theory
Carleman linear embedding
neuron
somatic shunt
Physical Sciences and Mathematics
La Voie, Scott Lewis
Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
description In this thesis we developed the Green's Function for a tapered equivalent cylinder model of dendritic electrical propagation. We then use the Green's Function to develop a Carleman linear embedding scheme which is used to estimate the effects of a nonlinear ion channel hot-spot on the tapered cylinder solution. Mathematica© was used to implement the Carleman embedding scheme.
author La Voie, Scott Lewis
author_facet La Voie, Scott Lewis
author_sort La Voie, Scott Lewis
title Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
title_short Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
title_full Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
title_fullStr Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
title_full_unstemmed Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.
title_sort parameter estimation for a modified cable model using a green's function and eigenvalue perturbation.
publisher Digital Commons @ East Tennessee State University
publishDate 2003
url https://dc.etsu.edu/etd/765
https://dc.etsu.edu/cgi/viewcontent.cgi?article=1922&context=etd
work_keys_str_mv AT lavoiescottlewis parameterestimationforamodifiedcablemodelusingagreensfunctionandeigenvalueperturbation
_version_ 1719187872827834368

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