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On the first bifurcation point for a free boundary problem modeling small arterial plaque
Xinyue Evelyn Zhao, Bei Hu
Atherosclerosis occurs when plaque clogs the arteries. It is a leading cause of death in the United States and worldwide. In this paper, we study the bifurcation for a highly nonli…
Bifurcation for a free boundary problem modeling a small arterial plaque
Xinyue Evelyn Zhao, Bei Hu
Atherosclerosis, hardening of the arteries, originates from small plaque in the arteries; it is a major cause of disability and premature death in the United States and worldwide.…
Asymptotic stability for a free boundary tumor model with angiogenesis
Yaodan Huang, Zhengce Zhang, Bei Hu
In this paper, we study a free boundary problem modeling solid tumor growth with vasculature which supplies nutrients to the tumor; this is characterized in the Robin boundary cond…
Stationary solutions of a free boundary problem modeling the growth of vascular tumors with a necrotic core
Huijuan Song, Bei Hu, Zejia Wang
In this paper, we present a rigorous mathematical analysis of a free boundary problem modeling the growth of a vascular solid tumor with a necrotic core. If the vascular system sup…
The Impact of Time Delay in a Tumor Model
Xinyue Evelyn Zhao, Bei Hu
In this paper we consider a free boundary tumor growth model with a time delay in cell proliferation and study how time delay affects the stability and the size of the tumor. The m…
A parabolic-hyperbolic system modeling the growth of a tumor
Rui Li, Bei Hu
In this paper, we consider a model with tumor microenvironment involving nutrient density, extracellular matrix and matrix-degrading enzymes, which satisfy a coupled system of PDEs…