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State-space models are successfully used in many areas of science, engineering and economics to model time series and dynamical systems. We present a fully Bayesian approach to inference \emph{and learning} (i.e. state estimation and system…

Machine Learning · Statistics 2013-12-18 Roger Frigola , Fredrik Lindsten , Thomas B. Schön , Carl E. Rasmussen

In silico, cell based approaches for modeling biological morphogenesis are used to test and validate our understanding of the biological and mechanical process that are at work during the growth and the organization of multi-cell tissues.…

Biological Physics · Physics 2026-01-06 Raphaël Conradin , Christophe Coreixas , Jonas Latt , Bastien Chopard

This work presents a novel unfitted finite element framework to simulate coupled surface-bulk problems in time-dependent domains, focusing on fluid-fluid interactions in animal cells between the actomyosin cortex and the cytoplasm. The…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Eric Neiva , Hervé Turlier

Mechanically characterizing the human-machine interface is essential to understanding user behavior and optimizing wearable robot performance. This interface has been challenging to sensorize due to manufacturing complexity and non-linear…

Robotics · Computer Science 2026-05-29 Noah Rubin , Ava Schraeder , Hrishikesh Sahu , Thomas C. Bulea , Lillian Chin

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

Data Analysis, Statistics and Probability · Physics 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

It is stated in the main in essence new approach to mechanics of the stressed state of the solid body from statistically isotropic material and the homogeneous liquid dynamics. The approach essence is in the detected property of the…

Fluid Dynamics · Physics 2008-09-25 S. L. Arsenjev

Computational biomechanics models of the brain have become an important tool for investigating the brain responses to mechanical loads. The geometry, loading conditions, and constitutive properties of such brain models are well-studied and…

Computational Engineering, Finance, and Science · Computer Science 2025-12-10 Sajjad Arzemanzadeh , Benjamin Zwick , Karol Miller , Tim Rosenow , Stuart I. Hodgetts , Adam Wittek

Time pressure and question difficulty can trigger stress and cognitive overload in web-based surveys, compromising data quality and user experience. Most stress detection methods are based on low-resolution self-reports, which are poorly…

Human-Computer Interaction · Computer Science 2026-01-27 Ailin Liu , Francesco Chiossi , Felix Henninger , Lisa Bondo Andersen , Tobias Wistuba , Sonja Greven , Frauke Kreuter , Fiona Draxler

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

It is now widely recognized that mechanical interactions between cells play a crucial role in epithelial morphogenesis, yet understanding the mechanisms through which stress and deformation affect cell behavior remains an open problem due…

Tissues and Organs · Quantitative Biology 2017-01-20 Nicholas Noll , Madhav Mani , Idse Heemskerk , Sebastian Streichan , Boris I. Shraiman

This manuscript unites causal inference and spatial statistics, presenting novel insights for causal inference in spatial data analysis, and drawing from tools in spatial statistics to estimate causal effects. We introduce spatial causal…

Methodology · Statistics 2026-02-17 Georgia Papadogeorgou , Srijata Samanta

The tilted-wave interferometer is a promising technique for the development of a reference measurement system for the highly accurate form measurement of aspheres and freeform surfaces. The technique combines interferometric measurements,…

An interferometric technique is proposed for determining the spatial forms of the individual degrees of freedom through which a many body system can absorb energy from its environment. The method separates out the coherent excitations…

Quantum Physics · Physics 2017-08-30 S. Withington , C. N. Thomas , D. J. Goldie

Morphogenesis involves complex shape changes of biological tissues. Yet, tissue shape changes depend on tissue rheology, which in turn arises from the interplay of large numbers of cells. Here, we link cell- and tissue-scale mechanics by…

Soft Condensed Matter · Physics 2026-02-27 Shalabh Kumar Anand , Matthias Merkel

Discrete dislocation dynamics (DDD) simulations offer valuable insights into the plastic deformation and work-hardening behavior of metals by explicitly modeling the evolution of dislocation lines under stress. However, the computational…

Materials Science · Physics 2023-08-22 Rasool Ahmad , Wei Cai

This article deals with a viscoplastic material model of overstress type. The model is based on a multiplicative decomposition of the deformation gradient into elastic and inelastic part. An additional multiplicative decomposition of…

Numerical Analysis · Mathematics 2015-05-13 A. V. Shutov , R. Kreissig

We investigate solution methods for large-scale inverse problems governed by partial differential equations (PDEs) via Bayesian inference. The Bayesian framework provides a statistical setting to infer uncertain parameters from noisy…

Applications · Statistics 2023-02-08 Mina Karimi , Mehrdad Massoudi , Kaushik Dayal , Matteo Pozzi

We develop direct inversion methods for inferring the rheology of a fluid from observations of its shallow flow. First, the evolution equation for the free-surface flow of an inertia-less current with general constitutive law is derived.…

Fluid Dynamics · Physics 2022-03-14 Edward M. Hinton

Existing grasp synthesis methods are either analytical or data-driven. The former one is oftentimes limited to specific application scope. The latter one depends heavily on demonstrations, thus suffers from generalization issues; e.g.,…

Robotics · Computer Science 2022-06-30 Tengyu Liu , Zeyu Liu , Ziyuan Jiao , Yixin Zhu , Song-Chun Zhu

The so-called indentation stiffness tomography technique for detecting the interior mechanical properties of an elastic sample with an inhomogeneity is analyzed in the framework of the asymptotic modeling approach under the assumption of…

Analysis of PDEs · Mathematics 2013-11-22 Ivan Argatov