3 citations · 3 across the 5 of their papers we have counts for
7 papers
Hamiltonian Primal-Dual Policy Reinforcement Learning for Derivative-Free Model-Based Control
K. Rabiei, Z. Rui, X. Lu +1
Finite-horizon optimal control becomes difficult when a dynamical model can be simulated reliably, but its derivatives are unavailable, discontinuous, or unreliable. Hamiltonian Pr…
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 …
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…
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…
Data-Driven Modeling of Amyloid-beta Targeted Antibodies for Alzheimer's Disease
Kobra Rabiei, Jeffrey R. Petrella, Suzanne Lenhart +3
Alzheimer's disease (AD) is driven by the accumulation of amyloid-beta (Abeta) proteins in the brain, leading to memory loss and cognitive decline. While monoclonal antibodies targ…
Stability and Robustness of Time-discretization Schemes for the Allen-Cahn Equation via Bifurcation and Perturbation Analysis
Wenrui Hao, Sun Lee, Xiaofeng Xu +1
The Allen-Cahn equation is a fundamental model for phase transitions, offering critical insights into the dynamics of interface evolution in various physical systems. This paper in…