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Microstructural models of soft tissue deformation are important in applications including artificial tissue design and surgical planning. The basis of these models, and their advantage over their phenomenological counterparts, is that they…

Biological Physics · Physics 2022-05-06 James Haughton , Simon L. Cotter , William J. Parnell , Tom Shearer

Combining microstructural mechanical models with experimental data enhances our understanding of the mechanics of soft tissue, such as tendons. In previous work, a Bayesian framework was used to infer constitutive parameters from uniaxial…

Applications · Statistics 2025-08-25 James Casey , Jessica Forsyth , Timothy Waite , Simon Cotter , Tom Shearer

Tensor decomposition is a powerful tool for data analysis and has been extensively employed in the field of hyperspectral-multispectral image fusion (HMF). Existing tensor decomposition-based fusion methods typically rely on disruptive data…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Linsong Shan , Zecan Yang , Laurence T. Yang , Changlong Li , Honglu Zhao , Xin Nie

Tendon-bone enthesis connects tendon and bone, two mechanically dissimilar materials, while effectively minimizing stress concentrations, a capability rarely achieved in engineering materials. Its hierarchical organization and graded…

Soft Condensed Matter · Physics 2026-04-14 Zhangke Yang , Zhaoxu Meng

When using the finite element method (FEM) in inverse problems, its discretization error can produce parameter estimates that are inaccurate and overconfident. The Bayesian finite element method (BFEM) provides a probabilistic model for the…

Numerical Analysis · Mathematics 2026-01-26 Anne Poot , Iuri Rocha , Pierre Kerfriden , Frans van der Meer

Modeling gas flow through fractures of subsurface rock is a particularly challenging problem because of the heterogeneous nature of the material. High-fidelity simulations using discrete fracture network (DFN) models are one methodology for…

In this work, we have developed a variational Bayesian inference theory of elasticity, which is accomplished by using a mixed Variational Bayesian inference Finite Element Method (VBI-FEM) that can be used to solve the inverse deformation…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Chao Wang , Shaofan Li

The universal tendency in scanning probe microscopy (SPM) over the last two decades is to transition from simple 2D imaging to complex detection and spectroscopic imaging modes. The emergence of complex SPM engines brings forth the…

Quantifying the forces between and within macromolecules is a necessary first step in understanding the mechanics of molecular structure, protein folding, and enzyme function and performance. In such macromolecular settings, dynamic…

Data Analysis, Statistics and Probability · Physics 2017-08-24 Joshua C. Chang , Pak-Wing Fok , Tom Chou

Guided ultrasonic wave localization uses spatially distributed multistatic sensor arrays and generalized beamforming strategies to detect and locate damage across a structure. The propagation channel is often very complex. Methods can…

Signal Processing · Electrical Eng. & Systems 2024-10-30 Ishan D. Khurjekar , Joel B. Harley

We introduce a novel Bayesian method that can detect multiple structural breaks in the mean and variance of a length $T$ time-series. Our method quantifies uncertainty by returning $\alpha$-level credible sets around the estimated locations…

Methodology · Statistics 2025-07-14 Davis Berlind , Lorenzo Cappello , Oscar Hernan Madrid Padilla

The Finite Element Method (FEM) is a widely used technique for simulating crash scenarios with high accuracy and reliability. To reduce the significant computational costs associated with FEM, the Finite Element Method Integrated Networks…

Computational Engineering, Finance, and Science · Computer Science 2024-09-27 Simon Thel , Lars Greve , Maximilian Karl , Patrick van der Smagt

Impact localisation on composite aircraft structures remains a significant challenge due to operational and environmental uncertainties, such as variations in temperature, impact mass, and energy levels. This study proposes a novel Gaussian…

Applications · Statistics 2025-09-15 Dong Xiao , Zahra Sharif-Khodaei , M. H. Aliabadi

The local geometrical randomness of metal foams brings complexities to the performance prediction of porous structures. Although the relative density is commonly deemed as the key factor, the stochasticity of internal cell sizes and shapes…

Machine Learning · Computer Science 2022-11-04 Da Chen , Nima Emami , Shahed Rezaei , Philipp L. Rosendahl , Bai-Xiang Xu , Jens Schneider , Kang Gao , Jie Yang

To improve the theoretical prediction power for synthesizing superheavy elements beyond Og, a Bayesian uncertainty quantification method is employed to evaluate the uncertainty of the calculated evaporation residue cross sections (ERCS) for…

Nuclear Theory · Physics 2024-10-24 Yueping Fang , Zepeng Gao , Yinu Zhang , Zehong Liao , Yu Yang , Jun Su , Long Zhu

The increased availability of observation data from engineering systems in operation poses the question of how to incorporate this data into finite element models. To this end, we propose a novel statistical construction of the finite…

Methodology · Statistics 2021-01-25 Mark Girolami , Eky Febrianto , Ge Yin , Fehmi Cirak

Ultrasound examination for detecting fractures is ideally suited for Emergency Departments (ED) as it is relatively fast, safe (from ionizing radiation), has dynamic imaging capability and is easily portable. High interobserver variability…

Image and Video Processing · Electrical Eng. & Systems 2021-06-11 Arpan Tripathi , Abhilash Rakkunedeth , Mahesh Raveendranatha Panicker , Jack Zhang , Naveenjyote Boora , Jacob Jaremko

Finite element methods (FEM) are popular approaches for simulation of soft tissues with elastic or viscoelastic behavior. However, their usage in real-time applications, such as in virtual reality surgical training, is limited by…

Machine Learning · Computer Science 2023-01-12 Mohammad Karami , Hervé Lombaert , David Rivest-Hénault

A spatiotemporal deep learning framework is proposed that is capable of 2D full-field prediction of fracture in concrete mesostructures. This framework not only predicts fractures but also captures the entire history of the fracture…

Computational Engineering, Finance, and Science · Computer Science 2024-07-25 Rasoul Najafi Koopas , Shahed Rezaei , Natalie Rauter , Richard Ostwald , Rolf Lammering

The layering approach used in fused filament fabrication (FFF) enables creation of complex designs generated by topology optimization. Defects associated with the layer-by-layer process, introduce considerable random variability to the…

Materials Science · Physics 2024-09-04 Zahra Kazemi , Craig A. Steeves
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