As part of its Mathematics Colloquium Series, the Farquhar College of Arts and Sciences Division of Math, Science, and Technology, will host three events featuring guest speakers from universities around the country. These talks are free, and all are welcome to attend.
“Boundary Data Smoothness for Solutions of nth Order Nonlocal Boundary Value Problems”
Presented by Jeffrey Lyons, Ph.D. (Texas A&M University)
Monday, Apr. 2
Noon–1:00 p.m.
Mailman-Hollywood Building | Room 310
Presentation Abstract
In this talk, Lyons investigates boundary data smoothness for solutions of nth order nonlocal differential and difference equations. Essentially, Lyon will show that, under certain conditions, partial derivatives and differences—with respect to boundary conditions—exist for solutions of nonlocal nth order boundary value problems. In addition, the partial derivatives and differences solve either the variational equation, in the derivative case, or a special linear difference equation, in the difference equation case.
“Mathematical Modeling of Fluorescence Microscopy and Its Applications to Cancer Systems Biology”
Presented by Minchul Kang, Ph.D. (Vanderbilt University)
Wednesday, Apr. 4
Noon–1:00 p.m.
Mailman-Hollywood Building | Room 311
Presentation Abstract
All living cells sense, integrate, and respond to their environment through a complex communication system known as “cell signaling,” which is mostly mediated by protein-protein interactions. Therefore, determining proteins’ binding partners and binding rate constants are crucial steps to understanding cell signaling. While high-throughput methods to screen binary protein binding pairs are well-established, still no genomic scale kinetic rate calibration tools are available. To this end, simple, accessible—yet accurate—methods to measure kinetic constants under physiological condition were sought by a combination of mathematical modeling and fluorescence microscopy techniques, such as Fluorescence Recovery After Photobleaching (FRAP) and Förster Resonance Energy Transfer (FRET). In addition to the aforementioned, Kang will also discuss further application of this research to cancer systems biology.
“Geometric Covering Lemmas and Their Applications”
Presented by Xiaolong Han (Wayne State University)
Thursday, Apr. 5
Noon–1:00 p.m.
Mailman-Hollywood Building | Room 311
Presentation Abstract
In this talk, Han will first review some classical covering lemmas, including the Vitali and the Besicovitch covering lemmas. Han will then discuss a new covering lemma and study its applications in analysis, geometry, and partial differential equations.
For more information on these lectures or the Mathematics Colloquium Series, contact Vehbi Paksoy, Ph.D., or Iuliana Stanculescu, Ph.D., assistant professors in the college.