WENRUI HAO

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Associate professor

Penn State

United States

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About

Wenrui Hao is an Associate Professor at Penn State, USA. His research areas encompass mathematical modeling in biology, nonlinear dynamics, and numerical methods for partial differential equations. Recent contributions include advancements in computational frameworks for identifiability analysis and innovations in neural network training algorithms.

Recent Grants

Grant: Open

A pathophysiology driven spatial dynamic modeling framework for personalized prediction and precision medicine

Open Date: 2022-09-08

Close Date: 2027-06-30

Grant: Close

Collaborative Research: Personalized Modeling of Alzheimer’s Disease

Open Date: 2021-08-01

Close Date: 2024-07-31

Grant: Close

Homotopy Methods for Computing Bifurcations and Multiple Solutions of Nonlinear Partial Differential Equations with Biological Applications

Open Date: 2018-08-01

Close Date: 2021-07-31

Grant: Close

Personalized diagnosis and prediction of atherosclerotic aneurysms via computational models

Open Date: 2017-07-01

Close Date: 2021-06-30

Grant: Close

Personalized diagnosis and prediction of atherosclerotic aneurysms via computational models

Open Date: 2017-07-01

Close Date: 2020-06-30

WENRUI HAO

Research Interests

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About

Recent Grants

Articles (22)

Homotopy Relaxation Training Algorithms for Infinite-Width Two-Layer ReLU Neural Networks

A Systematic Computational Framework for Practical Identifiability Analysis in Mathematical Models Arising from Biology

Laplacian Eigenfunction-Based Neural Operator for Learning Nonlinear Reaction–Diffusion Dynamics

Stability and robustness of time-discretization schemes for the Allen-Cahn equation via bifurcation and perturbation analysis

Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons

HomPINNs: Homotopy physics-informed neural networks for solving the inverse problems of nonlinear differential equations with multiple solutions

Personalized Computational Causal Modeling of the Alzheimer Disease Biomarker Cascade

A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces

Bifurcation Analysis Reveals Solution Structures of Phase Field Models

Companion-based multi-level finite element method for computing multiple solutions of nonlinear differential equations

Emergence of non-trivial solutions from trivial solutions in reaction–diffusion equations for pattern formation

The phase 1/2 trial of indomethacin in chronic pancreatitis (The PAIR trial): Protocol for a parallel multi-center randomized controlled trial

Investigating the spatial interaction of immune cells in colon cancer

Bifurcation analysis of a free boundary model of vascular tumor growth with a necrotic core and chemotaxis

Greedy training algorithms for neural networks and applications to PDEs

HomPINNs: Homotopy physics-informed neural networks for learning multiple solutions of nonlinear elliptic differential equations

Randomized Newton’s Method for Solving Differential Equations Based on the Neural Network Discretization

Two neural-network-based methods for solving elliptic obstacle problems

A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

Nonlinear simulation of vascular tumor growth with chemotaxis and the control of necrosis

Predict Blood Pressure by Photoplethysmogram with the Fluid-Structure Interaction Modeling

Collaborators (12)

Tingting Tang

Jonathan W. Siegel

Gregory B. Lesinski

Navid Mohammad Mirzaei

Xinyue Zhao

Liang Li

Margaret Regan

Leili Shahriyari

Jami Saloman

Philip Hart

Chun Liu

Yahong Yang

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