5 papers
Pattern formation in a Reaction-Diffusion Model for Amyloid- and Tau Interactions in Alzheimer's Disease
Sun Lee, Wenrui Hao
Alzheimer's disease (AD) is characterized by the accumulation of Amyloid- () plaques and hyperphosphorylated Tau proteins. However, many individuals exhibit substantial $A…
Numerical Identification of Stationary States and Their Stability in a Model of Quantum Droplets
Sun Lee, Panayotis G. Kevrekidis, Wenrui Hao
In this work, we are motivated by a recent variant of the nonlinear Schrodinger (NLS) equation describing cold, dilute atomic condensates with quantum fluctuation effects. Our goal…
Optimal Control For Anti-Abeta Treatment in Alzheimer's Disease using a Reaction-Diffusion Model
Sun Lee, Chiu-Yen Kao, Zhiyuan Li +3
Alzheimer's disease (AD) is a progressive neurodegenerative disorder that severely impairs survival and quality of life. While anti-amyloid beta (Abeta) therapies can slow disease…
Energy Approach from -Graph to Continuum Diffusion Model with Connectivity Functional
Yahong Yang, Sun Lee, Jeff Calder +1
We derive an energy-based continuum limit for -graphs endowed with a general connectivity functional. We prove that the discrete energy and its continuum counterpart d…
An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems
Wenrui Hao, Sun Lee, Xiangxiong Zhang
In this paper, we introduce a quasi-Newton method optimized for efficiently solving quasi-linear elliptic equations and systems, with a specific focus on GPU-based computation. By…