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4:00pm to 5:00pm - ISEB 1010 - Applied and Computational Mathematics Blerta Shtylla (joint seminar with Center for Complex Biological Systems) - (Pfizer) An introduction and invitation to Quantitative Systems Pharmacology Abstract: Quantitative systems pharmacology (QSP) encompasses multiscale mechanism-based modeling that couples pharmacology with mathematical modeling of biological processes implicated in diseases. QSP models seek to address a diverse set of problems in the discovery and development of therapies and are being leveraged in both pharma and academic settings. In this talk, I will give an overview of the growing area of quantitative systems pharmacology and its overlap with the more traditional area of mathematical biology and applied mathematics. To illustrate, I will discuss a few vignettes with published examples how QSP was leveraged to impact oncology drug development. Bio: Blerta Shtylla, PhD is Research Fellow at Pfizer. She serves as team lead for the Quantitative Systems Pharmacology team supporting the oncology portfolio. Prior to Pfizer, Dr. Shtylla held multiple academic appointments, the most recent being Associate Professor of Mathematics. Her academic research focused on development and analysis of mathematical models applied to cancer therapies, autoimmune disease, bio-mechanical circuits involved in cell division, as well as control mechanisms involved in early development/morphogenesis. Her areas of expertise also include development of mathematical techniques for model uncertainty quantification and data assimilation applied to mechanistic differential equation models. She is author of several publications in mathematical biology, as well as editor of two books focused on mathematical modeling of complex biological processes.
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4:00pm to 5:30pm - RH 340 P - Logic Set Theory Julian Eshkol - (UC Irvine) Small Large Cardinals II This series of talks will survey small large cardinals up to Super Ineffable Cardinals. |
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1:00pm to 2:00pm - RH 440R - Dynamical Systems William Wood - (UC Irvine) Sums of “small” Cantor Sets A variety of questions and results on Cantor sets revolved around the Minkowski sums of Cantor sets and the topological structure or Hausdorff dimension of these sumsets. For example, Shmeling and Schmerkin showed that given an increasing sequence {x_n} bounded by 0 and 1, there exists a Cantor set C such that x_n is the Hausdorff dimension of C added to itself n times. Given any integer n, we will provide a construction for a Cantor set with zero logarithmic capacity such that the Cantor set added to itself n times is a single interval, while a sum of any smaller number of copies of that set is still a Cantor set. |
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2:00pm - 510R Rowland Hall - Combinatorics and Probability Catherine Babecki - (Caltech) Spectrahedral Geometry of Graph Sparsifiers We propose an approach to graph sparsification based on the idea of preserving the smallest $k$ eigenvalues and eigenvectors of the Graph Laplacian. This is motivated by the fact that small eigenvalues and their associated eigenvectors tend to be more informative of the global structure and geometry of the graph than larger eigenvalues and their eigenvectors. The set of all weighted subgraphs of a graph $G$ that have the same first $k$ eigenvalues (and eigenvectors) as $G$ is the intersection of a polyhedron with a cone of positive semidefinite matrices. We discuss the geometry of these sets and deduce the natural scale of $k$. Various families of graphs illustrate our construction.
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1:00pm to 2:00pm - MSTB 124 and Zoom - UCI Mathematics Alumni Lectures Micah Webster - (NSA) My Journey from UCI to the NSA In this talk, Dr. Micah Webster will discuss his journey from UCI to the NSA (with a 12-year stop in academia) by focusing on learned insights that can propel your career forward. He will also tie these insights to the application and interview process, share tips based on his review of 1000s of application materials, and provide descriptions of what your career could look like in academia or government. Please bring questions, as he wants this to be a discussion as much as possible. |