Electrodiffusion on the surface of bilayer membranes
| dc.contributor.author | Swager, Melissa R., author | |
| dc.contributor.author | Zhou, Yongcheng, advisor | |
| dc.contributor.author | Liu, Jiangguo, committee member | |
| dc.contributor.author | Krapf, Diego, committee member | |
| dc.date.accessioned | 2007-01-03T08:07:07Z | |
| dc.date.available | 2007-01-03T08:07:07Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The 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.medium | born digital | |
| dc.format.medium | masters theses | |
| dc.identifier | Swager_colostate_0053N_10984.pdf | |
| dc.identifier | ETDF2012500107MATH | |
| dc.identifier.uri | http://hdl.handle.net/10217/66688 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | bilayer membrane | |
| dc.subject | continuum modeling | |
| dc.subject | drift-diffusion on the surface | |
| dc.subject | electrodiffusion | |
| dc.subject | quadrature | |
| dc.subject | surface linear finite element method | |
| dc.title | Electrodiffusion on the surface of bilayer membranes | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Masters | |
| thesis.degree.name | Master of Science (M.S.) |
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