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Research Seminars: Applied and Computational Mathematics


Past: Applied and Computational Mathematics

Fall 2018

Time & Location: Typically talks will be on Fridays in Gibson Hall TBA at 3:00 PM.
Organizers: Glatt-Holtz, Nathan and Zhao, Kun

September 14

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Abstract: TBA


September 21

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Abstract: TBA


September 28

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Abstract: TBA


October 5

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Abstract: TBA


October 12

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Abstract: TBA


October 19

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Abstract: TBA


October 26

A bundled approach for high-dimensional informatics problems

Reginald McGeeCollege of the Holy Cross

Abstract:


As biotechnologies for data collection become more efficient and mathematical modeling becomes more ubiquitous in the life sciences, analyzing both high-dimensional experimental measurements and high-dimensional spaces for model parameters is of the utmost importance. We present a perspective inspired by differential geometry that allows for the exploration of complex datasets such as these. In the case of single-cell leukemia data we present a novel statistic for testing differential biomarker correlations across patients and within specific cell phenotypes. A key innovation here is that the statistic is agnostic to the clustering of single cells and can be used in a wide variety of situations. Finally, we consider a case in which the data of interest are parameter sets for a nonlinear model of signal transduction and present an approach for clustering the model dynamics. We motivate how the aforementioned perspective can be used to avoid global bifurcation analysis and consider how parameter sets with distinct dynamic clusters contrast.

 


November 2

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Christopher BeattieVirginia Polytechnic Institute and State University

Abstract: TBA


November 9

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Nan ChenUniversity of Wisconsin, Madison

Abstract: TBA


November 16

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Abstract: TBA


November 23

Thanksgiving 


November 30

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Abstract: TBA


Mathematics Department, 424 Gibson Hall, New Orleans, LA 70118 504-865-5727 math@math.tulane.edu