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dc.contributor.advisorZhou, Yongcheng
dc.contributor.authorAdkins, Melissa
dc.contributor.committeememberKrapf, Diego
dc.contributor.committeememberLiu, James
dc.contributor.committeememberMueller, Jennifer
dc.date.accessioned2015-08-27T03:57:17Z
dc.date.available2015-08-27T03:57:17Z
dc.date.issued2015
dc.description2015 Spring.
dc.descriptionIncludes bibliographical references.
dc.description.abstractThe cell membrane is of utmost importance in the transportation of nutrients and signals 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. It has been recently accepted that the lipid bilayer consists of lipid microdomains (lipid rafts), as opposed to freely moving lipids. We present two lipid raft models using the Ginzburg-Landau energy with addition of the electrostatic energy and the geodesic curvature energy to describe the local pattern formation of these lipid rafts. The development and implementation of a C⁰ interior penalty surface finite element method along with an implicit time iteration scheme will also be discussed as the optimal solution technique.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifier.urihttp://hdl.handle.net/10217/166986
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.titleModeling local pattern formation on membrane surfaces using nonlocal interactions
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.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)


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