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Related papers: GNN-Based Deep Surrogate Modeling of Knee Contact …

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Background:Subject-specific finite element analysis accurately characterizes knee joint mechanics but is computationally expensive. Deep surrogate models provide a rapid alternative, yet their generalization across subjects under limited…

Quantitative Methods · Quantitative Biology 2026-01-14 Zhengye Pan , Jianwei Zuo , Jiajia Luo

Knee contact-stress hotspots are closely linked to meniscal/cartilage injury risk. Still, high-fidelity subject-specific FEA is too computationally expensive for large-cohort, multi-condition, near-real-time use. Existing MeshGraphNet-style…

Tissues and Organs · Quantitative Biology 2026-02-26 Zhengye Pan , Jianwei Zuo , Jiajia Luo

Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-dependent nonlinear partial differential equations (PDEs). In…

Numerical Analysis · Mathematics 2023-08-04 Nicola Rares Franco , Stefania Fresca , Filippo Tombari , Andrea Manzoni

Data-driven modeling approaches can produce fast surrogates to study large-scale physics problems. Among them, graph neural networks (GNNs) that operate on mesh-based data are desirable because they possess inductive biases that promote…

Machine Learning · Computer Science 2023-04-04 Brian R. Bartoldson , Yeping Hu , Amar Saini , Jose Cadena , Yucheng Fu , Jie Bao , Zhijie Xu , Brenda Ng , Phan Nguyen

Finite element analysis of knee joint contact mechanics is computationally expensive, which has motivated the development of graph neural network surrogate models. However, effectively representing long-range dependencies in joint…

Quantitative Methods · Quantitative Biology 2026-03-24 Zhengye Pan , Jianwei Zuo , Jiajia Luo

Simulating the mechanical response of advanced materials can be done more accurately using concurrent multiscale models than with single-scale simulations. However, the computational costs stand in the way of the practical application of…

Machine Learning · Computer Science 2024-02-21 J. Storm , I. B. C. M. Rocha , F. P. van der Meer

Background and Objective: Accurate surrogate modeling of knee joint contact mechanics is important for reconstructing stress distributions and identifying risk-relevant regions, yet the relative suitability of different modeling paradigms…

Quantitative Methods · Quantitative Biology 2026-04-03 Zhengye Pan , Jianwei Zuo , Jiajia Luo

Surrogate models for the rapid inference of nonlinear boundary value problems in mechanics are helpful in a broad range of engineering applications. However, effective surrogate modeling of applications involving the contact of deformable…

Computational Engineering, Finance, and Science · Computer Science 2025-07-21 Vijay K. Dubey , Collin E. Haese , Osman Gültekin , David Dalton , Manuel K. Rausch , Jan N. Fuhg

This study aims to predict the spatio-temporal evolution of physical quantities observed in multi-layered display panels subjected to the drop impact of a ball. To model these complex interactions, graph neural networks have emerged as…

Computational Physics · Physics 2024-11-05 Jiyong Kim , Jangseop Park , Nayong Kim , Younyeol Yu , Kiseok Chang , Chang-Seung Woo , Sunwoong Yang , Namwoo Kang

During the COVID-19 crisis, mechanistic models have guided evidence-based decision making. However, time-critical decisions in a dynamical environment limit the time available to gather supporting evidence. We address this bottleneck by…

Machine Learning · Computer Science 2026-01-15 Agatha Schmidt , Henrik Zunker , Alexander Heinlein , Martin J. Kühn

We present a graph neural network (GNN) based surrogate framework for molecular dynamics simulations that directly predicts atomic displacements and learns the underlying evolution operator of an atomistic system. Unlike conventional…

Materials Science · Physics 2025-12-29 Judah Immanuel , Avik Mahata , Aniruddha Maiti

We propose Deep-Motion-Net: an end-to-end graph neural network (GNN) architecture that enables 3D (volumetric) organ shape reconstruction from a single in-treatment kV planar X-ray image acquired at any arbitrary projection angle.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Isuru Wijesinghe , Michael Nix , Arezoo Zakeri , Alireza Hokmabadi , Bashar Al-Qaisieh , Ali Gooya , Zeike A. Taylor

Correctly capturing intraoperative brain shift in image-guided neurosurgical procedures is a critical task for aligning preoperative data with intraoperative geometry for ensuring accurate surgical navigation. While the finite element…

Image and Video Processing · Electrical Eng. & Systems 2022-10-18 Yasmin Salehi , Dennis Giannacopoulos

We present MeshGraphNet-Transformer (MGN-T), a novel architecture that combines the global modeling capabilities of Transformers with the geometric inductive bias of MeshGraphNets, while preserving a mesh-based graph representation. MGN-T…

Machine Learning · Computer Science 2026-02-06 Mikel M. Iparraguirre , Iciar Alfaro , David Gonzalez , Elias Cueto

The simulation of microcirculatory blood flow in realistic vascular architectures poses significant challenges due to the multiscale nature of the problem and the topological complexity of capillary networks. In this work, we propose a…

Numerical Analysis · Mathematics 2025-12-12 Paolo Botta , Piermario Vitullo , Thomas Ventimiglia , Andreas Linninger , Paolo Zunino

Accurately simulating soft tissue deformation is crucial for surgical training, pre-operative planning, and real-time haptic feedback systems. While physics-based models such as the finite element method (FEM) provide high-fidelity results,…

Image and Video Processing · Electrical Eng. & Systems 2025-09-23 Madina Kojanazarova , Sidaty El Hadramy , Jack Wilkie , Georg Rauter , Philippe C. Cattin

In this work, we present a Boundary Oriented Graph Embedding (BOGE) approach for the Graph Neural Network (GNN) to serve as a general surrogate model for regressing physical fields and solving boundary value problems. Providing shortcuts…

Numerical Analysis · Mathematics 2021-09-01 Xingyu Fu , Fengfeng Zhou , Dheeraj Peddireddy , Zhengyang Kang , Martin Byung-Guk Jun , Vaneet Aggarwal

Musculoskeletal models have been widely used for detailed biomechanical analysis to characterise various functional impairments given their ability to estimate movement variables (i.e., muscle forces and joint moment) which cannot be…

Signal Processing · Electrical Eng. & Systems 2022-07-05 Jie Zhang , Yihui Zhao , Fergus Shone , Zhenhong Li , Alejandro F. Frangi , Shengquan Xie , Zhiqiang Zhang

Soft tissue simulation in virtual environments is becoming increasingly important for medical applications. However, the high deformability of soft tissue poses significant challenges. Existing methods rely on segmentation, meshing and…

Machine Learning · Computer Science 2025-08-08 Madina Kojanazarova , Florentin Bieder , Robin Sandkühler , Philippe C. Cattin

In robotics, it's crucial to understand object deformation during tactile interactions. A precise understanding of deformation can elevate robotic simulations and have broad implications across different industries. We introduce a method…

Computer Vision and Pattern Recognition · Computer Science 2024-02-07 Mahdi Saleh , Michael Sommersperger , Nassir Navab , Federico Tombari
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