In this thesis, we provide a starting point for the development of computational models of both uterine and oviductal fluid mechanics. The method of regularized Stokeslets provides a framework that is easily implemented and may be adapted to include the full fluid-structure interactions that are observed physiologically We compare our computational results to analytic results in settings where the geometry of the channel (in 213) or tube (in 3D) undergoes small amplitude, symmetric contractions. These comparisons allow us to validate our numerics, and give us insight into the choice of our numerical parameters We demonstrate that our results for tapered channels and non-symmetric channels in two dimensions match the lubrication theory of Elad et al. [6]. We extend these simulations to three dimensions. In addition, we include an inserted catheter in our two-dimensional model, as in the finite element calculations presented by [25]. Finally, we present preliminary results of a full, three-dimensional model of a peristaltic tube with an inserted catheter / acase@tulane.edu
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_23129 |
| Date | January 2008 |
| Contributors | Aranda, Vivian C (Author), Fauci, Lisa (Thesis advisor) |
| Publisher | Tulane University |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Rights | Access requires a license to the Dissertations and Theses (ProQuest) database., Copyright is in accordance with U.S. Copyright law |
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