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DTSTART;TZID=America/Los_Angeles:20230403T161500
DTEND;TZID=America/Los_Angeles:20230403T171500
DTSTAMP:20260519T022905
CREATED:20221020T204917Z
LAST-MODIFIED:20230320T152627Z
UID:2965-1680538500-1680542100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Ivy Xiong (USC)
DESCRIPTION:Title: A common pathway to cancer: oncogenic mutations abolish p53 oscillations. \nAbstract:\nThe tumor suppressor p53 oscillates in response to DNA double-strand breaks\, a behavior that has been suggested to be essential to its anti-cancer function. Nearly all human cancers have genetic alterations in the p53 pathway; a number of these alterations have been shown to be oncogenic by experiment. These alterations include somatic mutations and copy number variations as well as germline polymorphisms. Intriguingly\, they exhibit a mixed pattern of interactions in tumors\, such as co-occurrence\, mutual exclusivity\, and paradoxically\, mutual antagonism. Using a differential equation model of p53-Mdm2 dynamics\, I employ Hopf bifurcation analysis to show that these alterations have a common mode of action\, to abolish the oscillatory competence of p53\, thereby impairing its tumor suppressive function. In this analysis\, diverse genetic alterations\, widely associated with human cancers clinically\, have a unified mechanistic explanation of their role in oncogenesis. In this talk\, I will also discuss the role of physiological oscillations in health and disease broadly. \nReferences: \nXiong\, L.\, and Garfinkel\, A. (2022). A common pathway to cancer: Oncogenic mutations abolish p53 oscillations. Progress in Biophysics and Molecular Biology. DOI: 10.1016/j.pbiomolbio.2022.06.002 \nXiong\, L.\, and Garfinkel\, A. (2023). Are physiological oscillations “physiological”? arXiv. DOI: 10.48550/arXiv.2301.08996
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-ivy-xiong-usc/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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DTSTART;TZID=America/Los_Angeles:20230410T161500
DTEND;TZID=America/Los_Angeles:20230410T171500
DTSTAMP:20260519T022905
CREATED:20230131T010146Z
LAST-MODIFIED:20230816T023147Z
UID:3058-1681143300-1681146900@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Johannes Brust (UCSD)
DESCRIPTION:Title: PLSS: A Projected Linear Systems Solver (joint work with Michael Saunders) \nAbstract:\nIteratively solving linear systems has proven to be useful for many large applications. Projection methods use sketching matrices (possibly randomized) to generate a sequence of small projected subproblems\, but even the smaller systems can be costly. We develop a method in which one column is added to the sketching matrix each iteration. By choosing the sequence of all previous residuals for a sketch\, we derive an iterative process with orthogonal residuals that leads to a simple recursive update to approximate the solution. In exact arithmetic\, our method (PLSS) converges in at most \(n\) iterations\, where \(n\) is the column rank of matrix \(A\). In experiments on large sparse systems\, PLSS compares favorably with deterministic and state-of-the-art randomized methods.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-johannes-brust-ucsd/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20230417T161500
DTEND;TZID=America/Los_Angeles:20230417T171500
DTSTAMP:20260519T022905
CREATED:20221207T193543Z
LAST-MODIFIED:20230816T023354Z
UID:3015-1681748100-1681751700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Emily de Jong (Caltech)
DESCRIPTION:Title: Modeling size distributions and collisions in cloud microphysics \nAbstract:\nFeedbacks between a warming atmosphere\, emission of aerosols\, and clouds and precipitation are one of the most difficult aspects for climate models to accurately capture. While these models operate at resolutions of tens or hundreds of kilometers\, many of the physics that determine how and where clouds form or precipitate function at the micron droplet scale. This separation of scales means that most of these “microphysics” must be modeled with only a few approximate quantities and physical equations. These simplifications lead to large uncertainties about the future climate\, such as the sensitivity of global warming to human-emitted aerosols.   \nThis talk presents two promising techniques for mathematically representing droplet size distributions and the microphysics that govern how droplets within the distribution evolve. The first method attempts to span a gap in complexity between a simple method of moments and expensive “bin” or spectral representations by collocating smooth basis functions over the droplet size domain. With intelligently selected basis functions\, this approach can represent the process of cloud droplets coalescing to form rain with bin-like accuracy\, but with a degree of complexity that is attainable for global simulations. Next\, we present a high-complexity high-fidelity Lagrangian approach known as the superdroplet method. This approach shows promise as a research tool to verify and train future microphysics models\, but it is currently incomplete in its purview of droplet physics. We describe a probabilistic approach to representing collisional breakup\, an often-overlooked process that can impact precipitation rates\, cloud lifetime\, and aerosol processing.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-emily-de-jong-caltech/
LOCATION:Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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