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DTSTART;TZID=America/Los_Angeles:20221010T161500
DTEND;TZID=America/Los_Angeles:20221010T171500
DTSTAMP:20260426T081312
CREATED:20220909T224751Z
LAST-MODIFIED:20220929T215737Z
UID:2850-1665418500-1665422100@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Adam Waterbury (UCSB)
DESCRIPTION:Title: Approximating Quasi-Stationary Distributions with Interacting Reinforced Markov Chains\n\nAbstract: An important question in ecology is what conditions must be met for a population of interacting species to coexist. In realistic models of such populations\, after a large enough amount of time has passed\, one or more of the species are sure to face extinction. However\, the time that it takes for extinction to occur can be quite large\, so it is natural to consider whether the population can sustain any long-term coexistence before any of the species are extinct. This metastability is captured in the notion of a quasi-stationary distribution (QSD). However\, calculating the QSD of such a system can be numerically difficult\, as it amounts to solving a system of nonlinear equations\, which has led to a wide range of simulation-based methods that can be used to efficiently approximate QSD. In the first part of this talk I introduce two new simulation-based methods for approximating QSD that are described in terms of a large collection of interacting particles known as reinforced Markov chains. In the second part of this talk I discuss some related work studying the rare-event asymptotics of a related class of reinforced Markov chains.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-adam-waterbury-ucsb/
LOCATION:Shanahan 2407 at Harvey Mudd College\, 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:20221003T161500
DTEND;TZID=America/Los_Angeles:20221003T171500
DTSTAMP:20260426T081312
CREATED:20220909T225108Z
LAST-MODIFIED:20220929T215943Z
UID:2851-1664813700-1664817300@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Harlin Lee (UCLA)
DESCRIPTION:Title: Understanding scientific fields with network analysis and topic modeling\n\nAbstract: As scientific disciplines get larger\, it becomes impossible for an individual researcher to be familiar with the entire body of literature\, which forces them to specialize in a sub-field. Such insulation can hinder the birth of ideas that arise from new connections\, eventually slowing down scientific progress. As such\, discovering fruitful interdisciplinary connections by analyzing scientific publications is an important problem in the science of science. This talk will present several past and ongoing projects in answering that question using tools from network analysis and topic modeling: 1) a dynamic-embedding-based method for link prediction in a machine learning semantic network\, where the nodes are concepts in machine learning\, and the time-stamped edges indicate co-occurrence in scientific papers\, and 2) finding communities in cognitive science that study similar topics but do not cite each other or publish in the same venues.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-harlin-lee-ucla/
LOCATION:Shanahan 2407 at Harvey Mudd College\, 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:20220919T161500
DTEND;TZID=America/Los_Angeles:20220919T171500
DTSTAMP:20260426T081312
CREATED:20220909T190042Z
LAST-MODIFIED:20220910T044707Z
UID:2846-1663604100-1663607700@colleges.claremont.edu
SUMMARY:Applied Math Seminar: Chiu-Yen Kao (CMC)
DESCRIPTION:Title: Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates \nAbstract: \nIn this talk\, we will show the experiments of the vibration of plates to generate Chladni’s figures and discuss computational approaches to optimization problems of inhomogeneous rods and plates. We consider both optimization of eigenvalues and localization of eigenfunctions. These problems are motivated by physical problems including the determination of extremum of fundamental vibration frequency and the localization of the vibration displacement. We demonstrate how an iterative rearrangement approach and a gradient descent approach with projection can successfully solve these optimization problems.\n\nThis is a joint work with Weitao Chen at University of California\, at Riverside and it is dedicated to our esteemed collaborator and friend: Ching-Shan Chou.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-chiu-yen-kao-cmc/
LOCATION:Shanahan 2407 at Harvey Mudd College\, 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:20220502T161500
DTEND;TZID=America/Los_Angeles:20220502T171500
DTSTAMP:20260426T081312
CREATED:20220422T161142Z
LAST-MODIFIED:20220422T161142Z
UID:2651-1651508100-1651511700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Almut Burchard (U. Toronto)
DESCRIPTION:Title: What is the best shape? Geometric\nproblems arising in aggregation models \nAbstract: How do pair interactions shape the large-scale\nbehaviour of a cloud of particles (animals\,\nsocial agents …) ?  In the most basic\nmodels\, the shape of the cloud is determined\nby minimizing an attractive-repulsive interaction\nenergy under suitable geometric constraints. \nWhen can we expect aggregation to occur? what\nis the shape of the resulting flock?  I will\ndescribe recent work on optimal shapes in capacitor\nproblems  that occur as limiting cases. \n 
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-almut-burchard-u-toronto/
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:20220425T161500
DTEND;TZID=America/Los_Angeles:20220425T171500
DTSTAMP:20260426T081312
CREATED:20211213T202110Z
LAST-MODIFIED:20230816T041400Z
UID:2518-1650903300-1650906900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Alona Kryshchenko (CSUCI)
DESCRIPTION:Title: Data science and applications in dynamic topic modeling \nAbstract:\nThe shockwaves of the big data boom have thrown into sharp relief the critical need for domain-driven\, large-scale data analytic techniques across the fields of\, among others\, finance\, political science\, economics\, psychology\, and medicine.  It is not simply the size of data sets that contributes to the extreme challenges of data analysis in these fields\, but the inherent complexity of this data.  Often this data is multi-modal\, with modes representing measurements along different dimensions (e.g.\, spatial\, and temporal dimensions of video data\, or word and document dimensions of text corpora data).  This data is often naturally formatted as a tensor\, a higher-order generalization of a matrix. In this talk\, we will explore nonnegative tensor decompositions and their applications in dynamic topic modeling.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-alona-kryshchenko-csuci/
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:20220411T161500
DTEND;TZID=America/Los_Angeles:20220411T171500
DTSTAMP:20260426T081312
CREATED:20220125T182732Z
LAST-MODIFIED:20220125T182732Z
UID:2562-1649693700-1649697300@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Applied Attractions at Claremont Colleges
DESCRIPTION:During this student-centered Applied Math Seminar\, there will be discussion and presentation about upcoming courses in applied mathematics to help students make their enrollment choices for Fall 2022 and beyond.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-applied-attractions-at-claremont-colleges/
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:20220404T161500
DTEND;TZID=America/Los_Angeles:20220404T173000
DTSTAMP:20260426T081312
CREATED:20220328T041515Z
LAST-MODIFIED:20220328T041515Z
UID:2677-1649088900-1649093400@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Kathryn G. Link (UC Davis)
DESCRIPTION:Title: Viscoelastic Effects of Spontaneous Oscillations of Elastic Filaments in the Follower-Force Problem. \nAbstract: It is well know that microorganisms\, such as bacteria and eukaryotes\, often move in intricate environments experiencing mechano-chemical dynamics. These environments consist of rheologically complex substances such as mucus and other biofilms that are more complicated than water.  Spermatozoa (sperm)\, for example\, swim in viscoelastic mucus via deformations of their flagella\, which are slender threadlike structures that are powered by internal molecular motors. The motor activity generates flagellar bending\, resulting in an undulatory beat. The effects of a fading-memory fluid on emergent properties of these spontaneous oscillations are not entirely known. Here we combine analysis with numerical simulations of finite-length\, small-amplitude pinned filaments subject to a compressive follower force to elucidate the Hopf bifurcation that occurs with increasing forcing on the filament. Additionally\, we determine characteristics of the flapping motion\, specifically frequency and amplitude changes and how those changes depend on follower force strength as well as fluid elasticity.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-kathryn-g-link-uc-davis/
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:20220321T161500
DTEND;TZID=America/Los_Angeles:20220321T171500
DTSTAMP:20260426T081312
CREATED:20220110T210855Z
LAST-MODIFIED:20230816T041537Z
UID:2521-1647879300-1647882900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Jamie Haddock (HMC)
DESCRIPTION:Title: Connections between Iterative Methods for Linear Systems and Consensus Dynamics on Networks \nAbstract:\nThere is a well-established linear algebraic lens for studying consensus dynamics on networks\, which has yielded significant theoretical results in areas like distributed computing\, modeling of opinion dynamics\, and ranking methods.  Recently\, strong connections have been made between problems of consensus dynamics on networks and classical iterative methods in numerical linear algebra.  This talk will discuss an instance of these connections\, in particular between the gossip methods in distributed computing and the Kaczmarz methods in numerical linear algebra.  We will present theoretical convergence results\, empirical and numerical simulation results\, and discuss future work in applying these numerical linear algebraic techniques to broader and more complex consensus dynamics models\, especially those coming from opinion dynamics and ranking.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-jamie-haddock-hmc/
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:20220228T161500
DTEND;TZID=America/Los_Angeles:20220228T171500
DTSTAMP:20260426T081312
CREATED:20220125T180406Z
LAST-MODIFIED:20220317T190247Z
UID:2558-1646064900-1646068500@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Illia Karabash (IAMM of NAS of Ukraine and TU Dortmund)
DESCRIPTION:Title: Pareto optimization of resonances and optimal control methods \nAbstract: \nFirst successes in fabrication of high-Q optical cavities two decades ago led to active applied physics and numerical studies of optimization problems involving resonances. The questions is how to design an open resonator that has an eigenvalue as close as possible to the real line under certain constraints. The analytic spectral optimization theory for such types of non-Hermitian eigenproblems is still in the stage of development. It is planned to explain briefly why the Pareto optimization settings are natural for non-Hermitian spectral problems\, and how the associated nonlinear Euler-Lagrange eigenproblems can be rigorously derived for the case of resonances in 1-d photonic crystals. Then we concentrate on the recently developed optimal control approach of (Karabash\, Koch\, Verbytskyi `20) and show how it is related to Pareto frontiers and Hamilton-Jacobi-Bellman PDEs. An application of Pontryagin Maximum Principle and a special method of minimum-time shooting to a line of no-return will be also discussed.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-illia-karabash-tu-dortmund/
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:20220214T161500
DTEND;TZID=America/Los_Angeles:20220214T171500
DTSTAMP:20260426T081312
CREATED:20220125T182526Z
LAST-MODIFIED:20220125T182526Z
UID:2560-1644855300-1644858900@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Project Pitch Day
DESCRIPTION:
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-project-pitch-day/
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:20220207T161500
DTEND;TZID=America/Los_Angeles:20220207T171500
DTSTAMP:20260426T081312
CREATED:20220125T183035Z
LAST-MODIFIED:20220201T005247Z
UID:2565-1644250500-1644254100@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Yunied Puig de Dios (CMC)
DESCRIPTION:Title: Modern techniques to approach the invariant subspace problem \nAbstract:  The invariant subspace problem is by far one of the most important problems in operator theory. It has been open for more than half a century\, and there are many significant contributions with a huge variety of techniques\, making this challenging problem so interesting; however the solution seems to be nowhere in sight. In this talk we are going to present a technique born in the 90’s and developed in the last two decades that has contributed tremendously to approach the invariant subspace problem\, becoming a very popular branch of operator theory and functional analysis\, called linear dynamics.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-yunied-puig-de-dios-cmc/
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:20211129T161500
DTEND;TZID=America/Los_Angeles:20211129T171500
DTSTAMP:20260426T081312
CREATED:20210908T234419Z
LAST-MODIFIED:20210927T040415Z
UID:2320-1638202500-1638206100@colleges.claremont.edu
SUMMARY:Applied Math Seminar - Joan Ponce (UCLA)
DESCRIPTION:Title: TBA \nAbstract: \nTBA
URL:https://colleges.claremont.edu/ccms/event/applied-mathematics-seminar-joan-ponce-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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211115T161500
DTEND;TZID=America/Los_Angeles:20211115T171500
DTSTAMP:20260426T081312
CREATED:20210908T235409Z
LAST-MODIFIED:20211112T005303Z
UID:2325-1636992900-1636996500@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Christopher Miles (UC Irvine)
DESCRIPTION:Title:  Collective motion in the mitotic spindle \nAbstract:  Math models of interacting individuals moving as a collective have been profoundly successful in describing physical and social phenomena ranging from swarming insects to human crowds. Especially in molecular biology\, recent advances in machine-learning-based automated tracking have led to droves of new data of collective motion. I’ll discuss two related projects\, both studying chromosomes (DNA) moving during mitosis (cell division). The first project will hopefully convince you that modeling this system as a collective is interesting\, exploring how collective motion models might describe how cancer cells avoid death. The second project will try to address how to actually incorporate data into the modeling process now that we have it.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-christopher-miles-uc-irvine/
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:20211108T161500
DTEND;TZID=America/Los_Angeles:20211108T171500
DTSTAMP:20260426T081312
CREATED:20210908T230638Z
LAST-MODIFIED:20211108T182044Z
UID:2317-1636388100-1636391700@colleges.claremont.edu
SUMMARY:Applied Math Seminar -- Sara Clifton (St. Olaf College)
DESCRIPTION:Title: Understanding Complex Social Systems using Minimal Mathematical Models \nAbstract: \nMinimal mathematical models are used to understand complex phenomena in the physical\, biological\, and social sciences. This modeling philosophy never claims\, nor even attempts\, to fully capture the mechanisms underlying the phenomena\, and instead offers insights and predictions not otherwise possible. Here\, we explore minimal dynamical systems models to understand several complex social phenomena\, including the profit-driven abandonment of restaurant tipping\, the public health tradeoffs of e-cigarettes\, and the progression of women through professional hierarchies. Because of their simplicity\, these models offer new connections between existing fields\, give optimal solutions with limited data\, and provide qualitative predictions of future events.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-sara-clifton-st-olaf-college/
LOCATION:Emmy Noether Room\, Estella 1021\, Pomona College\,\, 610 N. College Ave.\, Claremont\, CA\, 91711\, United States
CATEGORIES:Applied Math Seminar
ORGANIZER;CN="Maryann Hohn":MAILTO:Maryann.Hohn@pomona.edu
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/Los_Angeles:20211101T161500
DTEND;TZID=America/Los_Angeles:20211101T171500
DTSTAMP:20260426T081312
CREATED:20210902T180750Z
LAST-MODIFIED:20211005T215106Z
UID:2282-1635783300-1635786900@colleges.claremont.edu
SUMMARY:Applied Math Seminar — Selenne Bañuelos (Cal State University Channel Islands and Institute for Pure and Applied Mathematics\, UCLA)
DESCRIPTION:Title: Exploring Phage Treatment for Bacterial Infections with Mathematical Modeling \nAbstract: \nAntimicrobial resistance (AMR) is a serious threat to global health today. A renewed interest in phage therapy – the use of bacteriophages to treat pathogenic bacterial infections – has emerged given the spread of AMR and lack of new drug classes in the antibiotic pipeline. This talk will feature mathematical models from an ongoing research project that began in 2019 during the Collaborative Workshop for Women in Mathematical Biology at IPAM.  The first model considers the effect of phage-antibiotic combination therapy. We utilized this model to examine the role of the immune response in concert with phage-antibiotic combination therapy compounded with the effects of the immune system on the phages being used for treatment.  We will then discuss our current work as we collaborate with an experimental biologist.  This model investigates the bacteria-phage interaction in vitro.  We will discuss how our model has given insights into the challenges that arise from limited information in clinical trials\, and the delightful experience of how experimental biologists and applied mathematicians provide guidance to each other to move the project forward.
URL:https://colleges.claremont.edu/ccms/event/applied-math-seminar-selenne-banuelos-cal-state-university-channel-islands/
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:20211025T161500
DTEND;TZID=America/Los_Angeles:20211025T171500
DTSTAMP:20260426T081312
CREATED:20210903T204031Z
LAST-MODIFIED:20211022T152646Z
UID:2297-1635178500-1635182100@colleges.claremont.edu
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:20260426T081312
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:20260426T081312
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:20260426T081312
CREATED:20210903T201344Z
LAST-MODIFIED:20210927T035656Z
UID:2295-1632759300-1632762900@colleges.claremont.edu
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:20260426T081312
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
END:VEVENT
END:VCALENDAR