Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

5-2003

Committee Chair or Co-Chairs

Jeff R. Knisley

Committee Members

Lyndell Kerley, Robert B. Gardner

Abstract

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.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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