3 papers
math.AP2026
A free-boundary model of vascularized tumor growth with time-periodic coefficients
Xinyue, Zhao
We investigate a free boundary PDE model for vascularized tumor growth with two time-periodic coefficients representing nutrient supply and nutrient demand . Under r…
math.AP2025
On determination of the bifurcation type for a free boundary problem modeling tumor growth
Xinyue Evelyn Zhao, Junping Shi
Many mathematical models in different disciplines involve the formulation of free boundary problems, where the domain boundaries are not predefined. These models present unique cha…
math.AP2024
Optimal control of treatment in a free boundary problem modeling multilayered tumor growth
Xinyue Evelyn Zhao, Yixiang Wu, Rachel Leander +2
We study the optimal control problem of a free boundary PDE model describing the growth of multilayered tumor tissue in vitro. We seek the optimal amount of tumor growth inhibitor…