Zu Chongzhi Center Mathematics Research Seminar

Date and Time (China standard time): Monday, November 14, 4:00-5:00pm

Location: IB 2025

Zoom ID: 936 6824 1225

Passcode: dkumath

Title: Tumor boundary instability induced by nutrient consumption and supply

Speaker: Yu Feng

Bio: Yu Feng obtained his PhD from the University of Wisconsin, Madison. He is currently a postdoc at the Beijing International Center for Mathematical Research (BICMR) at Peking University. His research interests are theoretical applied math and mathematical physics, which include mixing and dissipation enhancement in fluid dynamics, PDEs in mathematical biology (Tumor growth and Neurosciences), inverse problem and narrow exit problem.

Abstract: We investigate the tumor boundary instability induced by nutrient consumption and supply based on a Hele-Shaw model derived from taking the incompressible limit of a cell density model. We analyze the boundary stability/instability in two scenarios: 1) the front of the traveling wave; 2) the radially symmetric boundary. In each scenario, we investigate the boundary behaviors under two different nutrient supply regimes, in vitro and in vivo. Our main conclusion is that for either scenario, the in vitro regime always stabilizes the tumor’s boundary regardless of the nutrient consumption rate. However, boundary instability may occur when the tumor cells aggressively consume nutrients, and the nutrient supply is governed by the in vivo regime.