Friday, October 15, 2021 - 12:15pm - 1:00pm
Pardee 217
Corey Beck '22 and Anna Zittle '22
Free and there will be pizza!

Title: Analyzing the Trade-offs Between Model Complexity, Parameter Identifiability, and Data Availability in Math Modeling of Tumor Dynamics (Anna Zittle) Abstract: This summer, I worked with Professor Allison Lewis on answering the question "How much complexity does a tumor dynamics model need in order to accurately describe given (synthesized) patient data, yet still maintain parameter identifiability?"  In our research, we looked at the trade offs between model complexity, parameter identifiability, and data availability. Using a Bayesian framework, we observed how credible intervals constructed about the model trajectory evolved as we sequentially added data points to inform our model. Additionally, we developed a preliminary procedure for performing robust identifiability analysis.  I will be continuing my work on this project for my senior thesis.


Title: Mathematical Modeling of Beating Filaments at Low Reynolds Number (Corey Beck)

Abstract: Microscopic organisms and biological systems at low Reynolds number frequently rely on filaments like flagella or cilia for movement. To understand these systems we must accurately describe the interactions between flagellar motion and the surrounding fluid. Differences in fluid characteristics can alter the motion of a singular flagella. In addition, some scenarios involve interactions between multiple cilia. In this model, the cilia are treated as simplified two-link filaments, with systems of ordinary differential equations solved numerically to examine the motion. Through this method, we observe varying phase differences between beating cilia for regimes dependent on coupling strength and initial phase difference, in addition to varying oscillation frequency and amplitude dependent on the fluid characteristics.



Sponsored by: 
Math Club and Department of Mathematics

Contact information

C. Jayne Trent