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X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences
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DTSTART;TZID=America/Los_Angeles:20211025T161500
DTEND;TZID=America/Los_Angeles:20211025T171500
DTSTAMP:20260406T182701
CREATED:20210903T204031Z
LAST-MODIFIED:20211022T152646Z
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SUMMARY:Applied Math Seminar -- Mario Banuelos (Cal State University\, Fresno)
DESCRIPTION:Title: A Recommendation Systems Approach for Detecting Epistasis \nAbstract: \nThere are a variety of methods used to understand and interpret an organism’s phenotype\, the physical expression of one or more genes. Epistasis\, the phenomenon of one mutation affecting the resulting quantitative or qualitative phenotype\, is used to assess gene variation in an attempt to find a combination of single nucleotide polymorphisms (SNPs) that contribute to a certain phenotype. Since one SNP rarely completely describes an organism’s phenotype\, detecting these groups\, or coalitions\, of mutations without relying on an exponential number of numbers is one of the main challenges in this field. To alleviate these computational bottlenecks\, we propose a neighborhood-based collaborative filtering approach by viewing this data with a recommender system formulation. As such\, we are able to detect statistically significant higher order SNP interaction phenotypes related to muscle mice genomic variants.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-mario-banuelos-cal-state-university-fresno/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20211011T161500
DTEND;TZID=America/Los_Angeles:20211011T171500
DTSTAMP:20260406T182701
CREATED:20210922T024054Z
LAST-MODIFIED:20211011T071415Z
UID:2387-1633968900-1633972500@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Leif Zinn-Brooks (HMC/Scripps)
DESCRIPTION:Title: Circadian Rhythms in Multinucleate Cells \nAbstract: \nCircadian rhythms are among the most researched cellular processes\, but limited work has been done on how these rhythms are coordinated between nuclei in multinucleate cells. I’ll analyze a mathematical model for circadian oscillations in a multinucleate cell\, motivated by mRNA and protein data from the filamentous fungus Neurospora crassa. Stochastic simulations of this model illuminate the importance of mRNA-protein phase separation\, in which mRNAs are kept close to the nucleus in which they were transcribed\, while proteins can diffuse freely across the cell. This phase separation allows for a robust oscillator to be assembled with very low mRNA counts. I’ll also discuss how the labor of transcribing mRNAs is divided between nuclei\, both when nuclei are evenly spaced across the cell and when they are not. Division of this labor can be regulated by controlling the amount of cytoplasmic volume available to each nucleus. Our results indicate that there is potential for emergent organization and extreme mRNA efficiency in multinucleate cells.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-leif-zinn-brooks-hmc-scripps/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20211004T161500
DTEND;TZID=America/Los_Angeles:20211004T171500
DTSTAMP:20260406T182701
CREATED:20210908T152516Z
LAST-MODIFIED:20210928T171304Z
UID:2313-1633364100-1633367700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Manuchehr Aminian (Cal Poly Pomona)
DESCRIPTION:Title: Traditional Applied Math\, and then\, Working with High Dimensional Biological Data \nAbstract: \n\nI will give an overview of my interests in two parts. The first part will be on passive tracer problems – with the goal of finding formulas of descriptive statistics (mean\, variance\, skewness) for a solute distribution advected by a smooth flow in a tube with arbitrary cross-section. We found explicit formulas which predict these statistics relying ultimately only on the cross-section of the tube\, and see agreement with numerical simulation as well as experiment. Some partial derivatives and pretty pictures from simulations will be shown.  \n\n\nIn the second part\, I’ll talk about my projects outside of partial differential equations. The main thrust of my (pre-pandemic) postdoctoral project was applying math and machine learning approaches to identify biomarkers predictive of pre-symptomatic infection in “omics” data sets from human challenge studies of influenza-like illnesses. I’ll define the jargon\, and talk about our successes* in answering a few questions: \n\n\n\nGiven a collection of blood samples from study participants\, can one identify (classify) a new blood sample as coming from a “shedder” (one who may be expected to be contagious) in the first 24 hours after exposure? \n\n\nGiven a collection of granular blood samples from study participants over the first week of infection\, and given a blood sample from someone already known to be infected\, can one predict how long it has been since the exposure event? \n\n\n*Our research did not result in technologies which stopped the pandemic; so in that sense\, we were not successful.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-manuchehr-aminian-cal-poly-pomona/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20210927T161500
DTEND;TZID=America/Los_Angeles:20210927T171500
DTSTAMP:20260406T182701
CREATED:20210903T201344Z
LAST-MODIFIED:20210927T035656Z
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SUMMARY:Applied Math Seminar -- Amy Buchmann (University of San Diego)
DESCRIPTION:Title: Mixing and Pumping on the Microscale \nAbstract: \nMixing and pumping in microfluidics devices is difficult because the traditional methods of mixing and pumping at large length scales don’t work at small length scales. Experimental work has suggested that rotating helical flagella may be used to effectively mix and pump fluid in microfluidics devices. To further explore this idea and to characterize the flow features around rotating helices\, we study the hydrodynamic interactions between two rigid helices rotating at a constant velocity. Next\, we optimize the numeric methods to study larger bacterial carpets.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-amy-buchmann-university-of-san-diego/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, 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:20210920T161500
DTEND;TZID=America/Los_Angeles:20210920T171500
DTSTAMP:20260406T182701
CREATED:20210903T174347Z
LAST-MODIFIED:20210919T211719Z
UID:2290-1632154500-1632158100@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Phil Chodrow (UCLA)
DESCRIPTION:Title: Eigenvector Methods for Community Detection in Hypergraphs \nAbstract: \n\n\nHypergraphs are generalizations of graphs in which edges are allowed to contain arbitrary numbers of nodes. Hypergraphs are well-suited for modeling complex data sets with multi-body interactions. Familiar examples include email threads with multiple participants\, projects with multiple collaborators\, and forum posts with multiple tags. \nThe hypergraph community detection problem asks us to find groups of related or similar entities in hypergraph data. While there are many approaches to this problem\, I’ll focus on methods that rely on matrix eigenvectors. I’ll give a quick illustration of how eigenvector methods work in the graph case\, and explain the roadblocks to extending these standard methods for hypergraphs. I’ll then describe the Hashimoto operator\, a matrix that smoothly generalizes for hypergraphs. I’ll present a theorem for speeding up eigenvector calculations with this matrix\, and discuss detection algorithms that use these eigenvectors. I’ll touch on the relationship between the Hashimoto operator and belief-propagation for statistical inference\, using this relationship to obtain a performant hypergraph community detection algorithm. I’ll discuss the phase transition separating success from failure for this detection algorithm. I’ll close by posing some conjectures on the fundamental limits of community detection in hypergraphs.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-phil-chodrow-ucla/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Heather Zinn Brooks":MAILTO:hzinnbrooks@g.hmc.edu
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