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The measurement of cellular traction forces on soft elastic substrates has become a standard tool for many labs working on mechanobiology. Here we review the basic principles and different variants of this approach. In general, the…

Quantitative Methods · Quantitative Biology 2015-06-09 Ulrich S. Schwarz , Jerome R. D. Soine

A simple reweighting scheme is proposed for Monte Carlo simulations of interacting particle systems, permitting one to study various parameter values in a single study, and improving efficiency by an order of magnitude. Unlike earlier…

Statistical Mechanics · Physics 2009-10-31 Ronald Dickman

Empirical force fields employed in molecular dynamics simulations of complex systems can be optimised to reproduce experimentally determined structural and thermodynamic properties. In contrast, experimental knowledge about the rates of…

Statistical Mechanics · Physics 2022-07-12 P. G. Bolhuis , Z. F. Brotzakis , B. G. Keller

An overview of computational methods to describe high-dimensional potential energy surfaces suitable for atomistic simulations is given. Particular emphasis is put on accuracy, computability, transferability and extensibility of the methods…

Chemical Physics · Physics 2020-07-08 Oliver T. Unke , Debasish Koner , Sarbani Patra , Silvan Käser , Markus Meuwly

Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

Numerical Analysis · Mathematics 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno

Animal cells use traction forces to sense the mechanics and geometry of their environment. Measuring these traction forces requires a workflow combining cell experiments, image processing and force reconstruction based on elasticity theory.…

Quantitative Methods · Quantitative Biology 2016-08-24 Jerome R. Soine , Nils Hersch , Georg Dreissen , Nico Hampe , Bernd Hoffmann , Rudolf Merkel , Ulrich S. Schwarz

Methodologies for creating reactive potential energy surfaces from molecular mechanics force-fields are becoming increasingly popular. To date, molecular mechanics force-fields use harmonic expressions to treat bonding stretches, which is a…

Chemical Physics · Physics 2019-05-22 R. J. Shannon , B. Hornung , D. P. Tew , D. R. Glowacki

The non-equilibrium structural and dynamical properties of semiflexible polymers confined to two dimensions are investigated by molecular dynamics simulations. Three different scenarios are considered: The force-extension relation of…

Soft Condensed Matter · Physics 2013-01-08 A. Lamura , R. G. Winkler

Multidimensional factorization method is formulated in arbitrary curvilinear coordinates. Particular cases of polar and spherical coordinates are considered and matrix potentials with separating variables are constructed. A new class of…

High Energy Physics - Theory · Physics 2011-03-07 A. A. Andrianov , M. V. Ioffe , Tsu Zhun-Pin

It is of great interest to test the equality of the means in two samples of functional data. Past research has predominantly concentrated on low-dimensional functional data, a focus that may not hold up in high-dimensional scenarios. In…

Methodology · Statistics 2025-05-27 Shouxia Wang , Jiguo Cao , Hua Liu , Jinhong You , Jicai Liu

When analyzing plasma waves, a key parameter to determine is the phase velocity. It enables us to, for example, compute wavelengths, wave potentials, and determine the energy of resonant particles. The phase velocity of a wave, observed by…

Space Physics · Physics 2022-04-06 Konrad Steinvall , Yuri V. Khotyaintsev , Daniel B. Graham

Accurate numerical simulations of interaction between fluid and solid play an important role in applications. The task is challenging in practical scenarios as the media are usually highly heterogeneous with very large contrast. To overcome…

Numerical Analysis · Mathematics 2020-05-15 Xia Wang , Eric Chung , Shubin Fu , Zhaoqin Huang

The Potential Field Source Surface (PFSS) model is the most used approach for extrapolating the global coronal magnetic field, offering efficiency and strong performance at large scales. However, PFSS assumes a potential coronal field, so…

Solar and Stellar Astrophysics · Physics 2026-03-23 C. Antonio , I. Chifu , R. Gafeira , J. J. G. Lima

We present an analysis of a partially directed walk model of a polymer which at one end is tethered to a sticky surface and at the other end is subjected to a pulling force at fixed angle away from the point of tethering. Using the kernel…

Soft Condensed Matter · Physics 2015-05-19 Judy-anne Osborn , Thomas Prellberg

A generalized cross-validation approach to estimate the reconstruction filter bandwidth in two-dimensional Filtered Backprojection is presented. The method writes the reconstruction equation in equivalent backprojected filtering form,…

Methodology · Statistics 2019-10-02 Ranjan Maitra

A novel mathematical model for fiber-reinforced materials is proposed. It is based on a 1-dimensional beam model for the thin fiber structures, a flexible and general 3-dimensional elasticity model for the matrix and an overlapping domain…

Computational Engineering, Finance, and Science · Computer Science 2021-05-12 Ustim Khristenko , Stefan Schuß , Melanie Krüger , Felix Schmidt , Barbara Wohlmuth , Christian Hesch

Functional panels are collections of functional time series, and arise often in the study of high frequency multivariate data. We develop a portmanteau style test to determine if the cross-sections of such a panel are independent and…

Methodology · Statistics 2016-07-12 Piotr Kokoszka , Matthew Reimherr , Nikolas Wölfing

The potential of mean force (PMF) of a colloidal dispersion under various circumstances of current interest, such as varying solvent quality, polymer coating thickness, and addition of electrostatic interaction is obtained from radial…

Soft Condensed Matter · Physics 2014-01-28 R. Catarino Centeno , E. Perez , A. Gama Goicochea

Single-molecule force spectroscopy experiments, as well as a number of other physical systems, are governed by thermally activated transitions out of a metastable state under the action of a steadily increasing external force. The main…

Soft Condensed Matter · Physics 2009-11-13 Sebastian Getfert , Mykhaylo Evstigneev , Peter Reimann

Improvements in computational and experimental capabilities are rapidly increasing the amount of scientific data that is routinely generated. In applications that are constrained by memory and computational intensity, excessively large…

Machine Learning · Computer Science 2023-02-28 Malik Hassanaly , Bruce A. Perry , Michael E. Mueller , Shashank Yellapantula
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