TGM-Nets: A deep learning framework for enhanced forecasting of tumor growth by integrating imaging and modeling

Q Chen, Q Ye, W Zhang, H Li, X Zheng - Engineering Applications of …, 2023 - Elsevier
Prediction and uncertainty quantification of tumor progression are vital in clinical practice, ie,
disease prognosis and decision-making on treatment strategies. In this work, we propose …

Efficient error certification for physics-informed neural networks

F Eiras, A Bibi, RR Bunel, KD Dvijotham… - … on Machine Learning, 2024 - openreview.net
Recent work provides promising evidence that Physics-Informed Neural Networks (PINN)
can efficiently solve partial differential equations (PDE). However, previous works have …

A deep neural network for operator learning enhanced by attention and gating mechanisms for long-time forecasting of tumor growth

Q Chen, H Li, X Zheng - Engineering with Computers, 2024 - Springer
Forecasting tumor progression and assessing the uncertainty of predictions play a crucial
role in clinical settings, especially for determining disease outlook and making informed …

Deepphysinet: Bridging deep learning and atmospheric physics for accurate and continuous weather modeling

W Li, Z Liu, K Chen, H Chen, S Liang, Z Zou… - arxiv preprint arxiv …, 2024 - arxiv.org
Accurate weather forecasting holds significant importance to human activities. Currently,
there are two paradigms for weather forecasting: Numerical Weather Prediction (NWP) and …

Geometry-informed neural networks

A Berzins, A Radler, E Volkmann, S Sanokowski… - arxiv preprint arxiv …, 2024 - arxiv.org
Geometry is a ubiquitous tool in computer graphics, design, and engineering. However, the
lack of large shape datasets limits the application of state-of-the-art supervised learning …

Quantifying local and global mass balance errors in physics-informed neural networks

ML Mamud, MK Mudunuru, S Karra, B Ahmmed - Scientific Reports, 2024 - nature.com
Physics-informed neural networks (PINN) have recently become attractive for solving partial
differential equations (PDEs) that describe physics laws. By including PDE-based loss …

Protein‐Based Patterning to Spatially Functionalize Biomimetic Membranes

M Reverte‐López, S Gavrilovic… - Small …, 2023 - Wiley Online Library
The bottom‐up reconstitution of proteins for their modular engineering into synthetic cellular
systems can reveal hidden protein functions in vitro. This is particularly evident for the …

Enhancing computational accuracy in surrogate modeling for elastic–plastic problems by coupling S-FEM and physics-informed deep learning

M Zhou, G Mei, N Xu - Mathematics, 2023 - mdpi.com
Physics-informed neural networks (PINNs) provide a new approach to solving partial
differential equations (PDEs), while the properties of coupled physical laws present potential …

An Interpretable Approach to the Solutions of High-Dimensional Partial Differential Equations

L Cao, Y Liu, Z Wang, D Xu, K Ye, KC Tan… - Proceedings of the AAAI …, 2024 - ojs.aaai.org
In recent years, machine learning algorithms, especially deep learning, have shown
promising prospects in solving partial differential equations (PDEs). However, as the …

Multi-physics modeling and finite-element formulation of neuronal dendrite growth with electrical polarization

S Wang, X Wang, MA Holland - Brain Multiphysics, 2023 - Elsevier
The neuron serves as the basic computational unit for the brain. Altered neuronal
morphologies are usually found in various neurological diseases, such as Down syndrome …