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Applied Mathematics, Mathematical Medicine, and Biology Seminar

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Want to suggest a speaker? Send an email to one of the organizers: Pak-Wing Fok or Richard Braun.

Information about the Courtyard Newark - University of Delaware Hotel



Rebecca Sanft, U of North CarolinaRebecca Sanft, U of North CarolinaEWG 336Title: Modeling the Mechanical Response of Arteries Abstract: Unlike traditional engineering materials, arterial tissue exhibits anisotropic and highly nonlinear mechanical behavior, and it displays the fascinating ability to grow and adapt to a given mechanical environment. This talk aims to provide an overview of the theoretical framework for modeling the mechanical response of arteries that reflects aspects of the fiber structure, muscle contraction, and growth. Moreover, we will discuss mathematical tools that can help us understand and predict alterations such as buckling and folding in arterial morphology. 9/20/2017 6:30:00 PM9/20/2017 7:20:00 PMFalse
Vu Dinh, Mathematical Sciences, UDVu Dinh, Mathematical Sciences, UDEWG 336Title: Consistency and convergence of phylogenetic regularization <br></br> <p>Abstract: Phylogenetics, the inference of evolutionary trees from molecular sequence data such as DNA, is an important enterprise enabling an evolutionary understanding of biological systems. The set of phylogenetic trees forms a space with discrete (graph structure) and continuous (branch lengths) components, and is modeled by a (non-differentiable) cubical complex. The resulting lack of manifold structure poses a problem to the uses of standard statistical methods on tree spaces. </p> <p>In this talk, I will discuss my recent work on regularized estimator for tree reconstruction, which uses the squared geodesic distance on tree space as an L2-type penalty. This estimator incorporates information about the species tree to enhance the accuracy and stability of individual gene trees estimation. Through the construction of this estimator, the talk aims to outline the main challenges in building a mathematical foundation for statistical analyses on tree spaces. </p>9/27/2017 6:30:00 PM9/27/2017 7:20:00 PMFalse
Andrew Bernoff, Mathematics, Harvey MuddAndrew Bernoff, Mathematics, Harvey MuddEWG 336Title: TBA Abstract: TBA10/18/2017 6:30:00 PM10/18/2017 7:20:00 PMFalse

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