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SUMMARY:Graduate Student Colloquium: Dorian Smith
DESCRIPTION:Sandpile Group For Cones Over Trees\nDorian Smith\nPhD Student\nUniversity of Minnesota Twin Cities \nThe sandpile group $K(G)$ of a graph $G$ is a finite abelian group\, isomorphic to the cokernel of the reduced graph Laplacian of $G.$ We study $K(G)$ when $G = Cone(T)$. The graph $Cone(T)$ is obtained from a tree $T$ on $n$ vertices by attaching a new cone vertex attached to all other vertices. For two such families of graphs\, we will describe $K(G)$ exactly: the fan graphs $Cone(P_n)$ where $P_n$ is a path\, and the thagomizer graph $Cone(S_n)$ where $S_n$ is the star-shaped tree. The motivation is that these two families turn out to be extreme cases among $Cone(T)$ for all trees $T$ on $n$ vertices.
URL:https://uwm.edu/math/event/graduate-student-colloquium-dorian-smith/
LOCATION:EMS Building\, Room E495\, E495; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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SUMMARY:Colloquium: Dr. Emmanuel Asante-Asamani
DESCRIPTION:A Mechanochemical Model of Cell Migration in Confined Environments\nDr. Emmanuel Asante-Asamani\nAssistant Professor of Mathematics\nClarkson University \nEukaryotic cells can move in confined environments by using pressure driven protrusions of their cell membrane\, a motility mechanism known as blebbing. Blebbing has been observed to facilitate the movement of tumor cells and some cancer cells during metastasis. Many questions remain unanswered about how cells translate mechanical cues from their environment into coordinated movement during blebbing. Of particular interest is how proteins that link the cell membrane to the cortex regulate the size and frequency of blebs under different levels of environmental confinement. In this talk\, I will present a multiscale model of bleb expansion that treats the cell as a viscous fluid encased by a viscoelastic boundary\, whose mechanical properties are regulated by dynamic structural and motor proteins. Numerical simulation of this model supports experimental data suggesting\, contrary to intuition\, that weakening the adhesion of the cell membrane to the cortex produces smaller and less frequent blebs.
URL:https://uwm.edu/math/event/colloquium-dr-emmanuel-asante-asamani/
LOCATION:EMS Building\, EMS E495\, 3200 Cramer St\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Colloquia
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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