{"id":{"repo_id":"etsu","oai_identifier":"oai:dc.etsu.edu:etd-1922"},"canonical_url":"https://search.dev.ndltd.org/etd/etsu/oai:dc.etsu.edu:etd-1922","repository":{"repo_id":"etsu","name":"East Tennessee State University","base_url":"https://dc.etsu.edu/do/oai/"},"display":{"title":"Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation.","abstract":"<p>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<sup>&#169;</sup> was used to implement the Carleman embedding scheme.</p>","abstract_html":"&lt;p&gt;In this thesis we developed the Green&#x27;s Function for a tapered equivalent cylinder model of dendritic electrical propagation. We then use the Green&#x27;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&lt;sup&gt;&amp;#169;&lt;/sup&gt; was used to implement the Carleman embedding scheme.&lt;/p&gt;","abstract_has_math":false,"creators":["La Voie, Scott Lewis"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-05-03T07:00:00Z","date_published":"2003-05-03T07:00:00Z","updated_at":"2026-07-24T02:19:28Z","subjects":["Cable theory","Carleman linear embedding","neuron","somatic shunt","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/765","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["La Voie, Scott Lewis"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2003-05-03T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Cable theory","Carleman linear embedding","neuron","somatic shunt","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/1922/viewcontent/LaVoieS04162003a.pdf","https://dc.etsu.edu/etd/765"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>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<sup>&#169;</sup> was used to implement the Carleman embedding scheme.</p>"]},{"key":"dc:title","label":"Title","values":["Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation."]}]}],"canonical_facts":{"dc:creator":["La Voie, Scott Lewis"],"dc:date.issued":["2003-05-03T07:00:00Z"],"dc:description.abstract":["<p>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<sup>&#169;</sup> was used to implement the Carleman embedding scheme.</p>"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/1922/viewcontent/LaVoieS04162003a.pdf","https://dc.etsu.edu/etd/765"],"dc:rights":["Copyright by the authors."],"dc:subject":["Cable theory","Carleman linear embedding","neuron","somatic shunt","Physical Sciences and Mathematics"],"dc:title":["Parameter Estimation for a Modified Cable Model Using a Green's Function and Eigenvalue Perturbation."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:19:28Z"}