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DTSTART;TZID=America/Los_Angeles:20211115T161500
DTEND;TZID=America/Los_Angeles:20211115T171500
DTSTAMP:20260406T180431
CREATED:20210908T235409Z
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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
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DTSTART;TZID=America/Los_Angeles:20211116T123000
DTEND;TZID=America/Los_Angeles:20211116T132000
DTSTAMP:20260406T180431
CREATED:20210821T181311Z
LAST-MODIFIED:20211101T170121Z
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SUMMARY:On sparse representation of vectors in lattices and semigroups (Iskander Aliev\, Cardiff University)
DESCRIPTION:We will discuss the sparsity of the solutions to systems of linear Diophantine equations with and without non-negativity constraints. The sparsity of a solution vector is the number of its nonzero entries\, which is referred to as the 0-norm of the vector. Our main results are new improved bounds on the minimal 0-norm of solutions to systems Ax=b\, where A is an integer matrix\, b is an integer vector and x is either a general integer vector (lattice case) or a non-negative integer vector (semigroup case). The talk is based on a joint work with G. Averkov\, J. A. De Loera and T. Oertel.
URL:https://colleges.claremont.edu/ccms/event/antc-seminar-iskander-aliev-cardiff-university/
LOCATION:On Zoom
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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DTSTART;TZID=America/Los_Angeles:20211117T163000
DTEND;TZID=America/Los_Angeles:20211117T174500
DTSTAMP:20260406T180431
CREATED:20211103T151322Z
LAST-MODIFIED:20211109T213529Z
UID:2457-1637166600-1637171100@colleges.claremont.edu
SUMMARY:Collective Behavior in Locust Swarms from Data to Differential Equations (Prof. Jasper Weinburd)
DESCRIPTION:Title: Collective Behavior in Locust Swarms from Data to Differential Equations\n  \nProf. Jasper Weinburd\nDepartment of Mathematics\nHarvey Mudd College\n\n  \n\nAbstract: Locusts are devastating pests that infest and destroy crops. Locusts forage and migrate in large swarms which exhibit distinctive shapes that improve efficiency on the group level\, a phenomenon known as collective behavior. One of the difficulties in understanding and preventing these collective behaviors has been a lack of biological data for individual interactions between locusts.  In this talk\, I’ll first describe mathematical models for these phenomena on both the collective and individual levels. I’ll then discuss a collaboration with students at Harvey Mudd College using field data derived from video footage of locust swarms. We digitized nearly 20\,000 locust trajectories and revealed individual behaviors that depend on a locust’s motion and the relative position of its nearby neighbors. Finally\, I will illustrate the challenges and potential benefits of incorporating these field observations into our models of locust swarms.\n\n\n\n\n\nProf. Jasper Weinburd is an NSF Postdoctoral Fellow at Harvey Mudd College. He received his PhD from the University of Minnesota. In his research he uses dynamical systems\, differential equations\, and data science to model natural phenomena of self-organization. He loves hiking in the San Gabriel Mountains with his dog\, but he still hasn’t climbed Mt. Baldy.
URL:https://colleges.claremont.edu/ccms/event/collective-behavior-in-locust-swarms-using-agent-based-and-continuous-models-prof-jasper-weinburd/
LOCATION:Zoom
CATEGORIES:Colloquium
ORGANIZER;CN="Andrew Bernoff":MAILTO:ajb@hmc.edu
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