BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Claremont Center for the Mathematical Sciences - ECPv6.15.17.1//NONSGML v1.0//EN CALSCALE:GREGORIAN METHOD:PUBLISH X-WR-CALNAME:Claremont Center for the Mathematical Sciences X-ORIGINAL-URL:https://colleges.claremont.edu/ccms X-WR-CALDESC:Events for Claremont Center for the Mathematical Sciences REFRESH-INTERVAL;VALUE=DURATION:PT1H X-Robots-Tag:noindex X-PUBLISHED-TTL:PT1H BEGIN:VTIMEZONE TZID:America/Los_Angeles BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20200308T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20201101T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20210314T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20211107T090000 END:STANDARD BEGIN:DAYLIGHT TZOFFSETFROM:-0800 TZOFFSETTO:-0700 TZNAME:PDT DTSTART:20220313T100000 END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:-0700 TZOFFSETTO:-0800 TZNAME:PST DTSTART:20221106T090000 END:STANDARD END:VTIMEZONE BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210308T150000 DTEND;TZID=America/Los_Angeles:20210308T160000 DTSTAMP:20260520T082546 CREATED:20210112T180325Z LAST-MODIFIED:20210223T174630Z UID:2106-1615215600-1615219200@colleges.claremont.edu SUMMARY:Applied math. talk: Optimal control of the SIR model in the presence of transmission and treatment uncertainty by Henry Schellhorn\, CGU DESCRIPTION:Abstract \nThe COVID-19 pandemic illustrates the importance of treatment-related decision making in populations. This article considers the case where the transmission rate of the disease as well as the efficiency of treatments is subject to uncertainty. We consider two different regimes\, or submodels\, of the stochastic SIR model\, where the population consists of three groups: susceptible\, infected and recovered. In the first regime the proportion of infected is very low\, and the proportion of susceptible is very close to 100%.  This corresponds to a disease with few deaths and where recovered individuals do not acquire immunity. In a second regime\, the proportion of infected is moderate\, but not negligible. We show that the first regime corresponds almost exactly to a well-known problem in finance\, the problem of portfolio and consumption decisions under mean-reverting returns (Wachter\, JFQA 2002)\, for which the optimal control has an analytical solution. We develop a perturbative solution for the second problem. To our knowledge\, this paper represents one of the first attempts to develop analytical/perturbative solutions\, as opposed to numerical solutions to stochastic SIR models. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-optimal-control-of-the-sir-model-in-the-presence-of-transmission-and-treatment-uncertainty-by-henry-schellhorn-cgu/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210301T150000 DTEND;TZID=America/Los_Angeles:20210301T160000 DTSTAMP:20260520T082546 CREATED:20210112T180006Z LAST-MODIFIED:20210210T190755Z UID:2104-1614610800-1614614400@colleges.claremont.edu SUMMARY:Applied math. talk: Blowup rate estimates of a singular potential in the Landau-de Gennes theory for liquid crystals by Xiang Xu\, Old Dominion University. DESCRIPTION:Abstract: The Landau-de Gennes theory is a type of continuum theory that\ndescribes nematic liquid crystal configurations in the framework of the\nQ-tensor order parameter. In the free energy\, there is a singular bulk\npotential which is considered as a natural enforcement of a physical\nconstraint on the eigenvalues of symmetric\, traceless Q-tensors. In this\ntalk we shall discuss some analytic properties related to this singular\npotential. More specifically\, we provide precise estimates of both this\nsingular potential\nand its gradient as the Q-tensor approaches its physical boundary. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-xiang-xu-old-dominion-university/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210222T150000 DTEND;TZID=America/Los_Angeles:20210222T160000 DTSTAMP:20260520T082546 CREATED:20210112T175752Z LAST-MODIFIED:20210213T053831Z UID:2102-1614006000-1614009600@colleges.claremont.edu SUMMARY:Applied math. talk: Heatmap centrality: a new measure to identify super-spreader nodes in scale-free networks by Christina Duron\, the University of Arizona DESCRIPTION:Abstract: The identification of potential super-spreader nodes within a network is a critical part of the study and analysis of real-world networks. Motivated by a new interpretation of the “shortest path” between two nodes\, this talk will explore the properties of the recently proposed measure\, the heatmap centrality\, by comparing the farness of a node with the average sum of farness of its adjacent nodes in order to identify influential nodes within the network. As many real-world networks are often claimed to be scale-free\, numerical experiments based upon both simulated and real-world undirected and unweighted scale-free networks are used to illustrate the effectiveness of the new “shortest path” based measure with regards to its CPU run time and ranking of influential nodes. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-heatmap-centrality-a-new-measure-to-identify-super-spreader-nodes-in-scale-free-networks-by-christina-duron-the-university-of-arizona/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210215T150000 DTEND;TZID=America/Los_Angeles:20210215T160000 DTSTAMP:20260520T082546 CREATED:20210114T013414Z LAST-MODIFIED:20210127T210557Z UID:2120-1613401200-1613404800@colleges.claremont.edu SUMMARY:Applied Math. Talk: Modeling and Simulation of Ultrasound-mediated Drug Delivery to the Brain by Peter Hinow\, University of Wisconsin\, Milwaukee DESCRIPTION:We use a mathematical model to describe the delivery of a drug to a specific region of the brain. The drug is carried by liposomes that can release their cargo by application of focused ultrasound. Thereupon\, the drug is absorbed through the endothelial cells that line the brain capillaries and form the physiologically important blood-brain barrier. We present a compartmental model of a capillary that is able to capture the complex binding and transport processes the drug undergoes in the blood plasma and at the blood-brain barrier. We apply this model to the delivery of L-dopa\, (used to treat Parkinson’s disease) and doxorubicin (an anticancer agent). The goal is to optimize the delivery of drug while at the same time minimizing possible side effects of the ultrasound. In a second project\, we present a mathematical model for drug delivery through capillary networks with increasingly complex topologies with the goal to understand the scaling behavior of model predictions on a coarse-to-fine sequence of grids. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-by-peter-hinow-university-of-wisconsin-milwaukee/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT BEGIN:VEVENT DTSTART;TZID=America/Los_Angeles:20210125T150000 DTEND;TZID=America/Los_Angeles:20210125T160000 DTSTAMP:20260520T082546 CREATED:20210112T173655Z LAST-MODIFIED:20210112T174359Z UID:2092-1611586800-1611590400@colleges.claremont.edu SUMMARY:Applied math. talk: Minimization of the first nonzero eigenvalue problem for two-phase conductors with Neumann boundary conditions by Chiu-Yen Kao\, CMC DESCRIPTION:Abstract: We consider the problem of minimizing the first nonzero eigenvalue of an elliptic operator with Neumann boundary conditions with respect to the distribution of two conducting materials with a prescribed area ratio in a given domain. In one dimension\, we show monotone properties of the first nonzero eigenvalue with respect to various parameters and find the optimal distribution of two conducting materials on an interval under the assumption that the region that has lower conductivity is simply connected. On a rectangular domain in two dimensions\, we show that the strip configuration of two conducting materials can be a local minimizer. For general domains\, we propose a rearrangement algorithm to find the optimal distribution numerically. Many results on various domains are shown to demonstrate the efficiency and robustness of the algorithms. Topological changes of the optimal configurations are discussed on circles\, ellipses\, annuli\, and L-shaped domains. URL:https://colleges.claremont.edu/ccms/event/applied-math-talk-minimization-of-the-first-nonzero-eigenvalue-problem-for-two-phase-conductors-with-neumann-boundary-conditions-by-chiu-yen-kao-cmc/ LOCATION:Zoom meeting\, United States CATEGORIES:Applied Math Seminar END:VEVENT END:VCALENDAR