Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Zhao, Xinyue Evelyn"'
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 that simultaneously minimizes the thickness of the tumor tissue and mi
Externí odkaz:
http://arxiv.org/abs/2410.14114
Phase field method is playing an increasingly important role in understanding and predicting morphological evolution in materials and biological systems. Here, we develop a new analytical approach based on bifurcation analysis to explore the mathemat
Externí odkaz:
http://arxiv.org/abs/2210.06691
Autor:
Zhao, Xinyue Evelyn, Hao, Wenrui
Publikováno v:
In Mathematical Biosciences August 2024 374
Two neural-network-based numerical schemes are proposed to solve the classical obstacle problems. The schemes are based on the universal approximation property of neural networks, and the cost functions are taken as the energy minimization of the obs
Externí odkaz:
http://arxiv.org/abs/2111.01761
Autor:
Zhao, Xinyue Evelyn, Hu, Bei
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 nonlinear and highly coupled PDE model of plaque formation in the early sta
Externí odkaz:
http://arxiv.org/abs/2011.01528
Autor:
Webb, Glenn1 (AUTHOR) glenn.f.webb@vanderbilt.edu, Zhao, Xinyue Evelyn2 (AUTHOR) glenn.f.webb@vanderbilt.edu
Publikováno v:
Infectious Disease Reports. Feb2024, Vol. 16 Issue 1, p35-64. 30p.
Free boundary problems deal with systems of partial differential equations, where the domain boundaries are apriori unknown. Due to this special characteristic, it is challenging to solve free boundary problems either theoretically or numerically. In
Externí odkaz:
http://arxiv.org/abs/2011.00315
Autor:
Zhao, Xinyue Evelyn, Hu, Bei
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. In this paper, we study the bifurcation of a highly nonlinear and high
Externí odkaz:
http://arxiv.org/abs/2008.02407
Autor:
Zhao, Xinyue Evelyn, Hu, Bei
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 model is a coupled system of an elliptic equation, a parabolic equation
Externí odkaz:
http://arxiv.org/abs/1907.01148
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena August 2022 161