ACMD Seminar: Mathematical Tumor Growth Models

 

Abstract: Mathematical models of tumor growth are essential for complementing experimental findings and furthering the understanding of cancer development and spread, as well as optimizing therapy. This talk presents a novel age-structured partial differential equation (PDE) model, where tumor growth is driven by pressure-limited cell division, while cellular movement away from high pressure regions is governed by Darcy's law. The work discussed in this talk establishes the existence of weak solutions of the model and presents numerical results.

 

Bio: Maeve is a fifth-year Ph.D. candidate in applied mathematics at University of Maryland working under the supervision of Professor Antoine Mellet. Previously, she received a B.S. in mathematics from McGill University and a M.S. in applied math from University of Maryland. Her primary research interests focus on the analysis and applications of partial differential equations, particularly with applications to biology.

 

Host: Ryan Evans

 

Note: This talk will be recorded to provide access to NIST staff and associates who could not be present to the time of the seminar. The recording will be made available in the Math channel on NISTube, which is accessible only on the NIST internal network. This recording could be released to the public through a Freedom of Information Act (FOIA) request. Do not discuss or visually present any sensitive (CUI/PII/BII) material. Ensure that no inappropriate material or any minors are contained within the background of any recording. (To facilitate this, we request that cameras of attendees are muted except when asking questions.)