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dc.contributor.advisorZhou, Yongcheng
dc.contributor.authorSwager, Melissa R.
dc.contributor.committeememberLiu, Jiangguo
dc.contributor.committeememberKrapf, Diego
dc.date.accessioned2007-01-03T08:07:07Z
dc.date.available2007-01-03T08:07:07Z
dc.date.issued2012
dc.description2012 Spring.
dc.descriptionIncludes bibliographical references.
dc.description.abstractThe cell memebrane is of utmost importance in the transportation of nutrients to the cell which are needed for survival. The magnitude of this is the inspiration for our study of the lipid bilayer which forms the cell membrane. In this paper we present a continuum model of electrodiffusion of lipids on the surface of bilayer membranes. Offering three derivations of the surface electrodiffusion equation, and proofs for the existence and uniqueness of the solution. A method for calculating integration constants using slotboom variables is emloyed. The development of a linear surface finite element method to solve the surface electrodiffusion equation is presented. Numerical simulations implementing the model are also given. The stability of the model is analyzed and a stability scheme using Streamline Upwind Petrov-Galerkin equations is applied. We test our code for robustness using other examples and a complex mesh. The implementation is validated by comparing with the known solution for the equations.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.identifierSwager_colostate_0053N_10984.pdf
dc.identifierETDF2012500107MATH
dc.identifier.urihttp://hdl.handle.net/10217/66688
dc.languageEnglish
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019 - CSU Theses and Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectbilayer membrane
dc.subjectcontinuum modeling
dc.subjectdrift-diffusion on the surface
dc.subjectelectrodiffusion
dc.subjectquadrature
dc.subjectsurface linear finite element method
dc.titleElectrodiffusion on the surface of bilayer membranes
dc.typeText
dcterms.rights.dplaThe copyright and related rights status of this Item has not been evaluated (https://rightsstatements.org/vocab/CNE/1.0/). Please refer to the organization that has made the Item available for more information.
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (M.S.)


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