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Micropatterned substrates are often used to standardize cell experiments and to quantitatively study the relation between cell shape and function. Moreover, they are increasingly used in combination with traction force microscopy on soft…

Cell Behavior · Quantitative Biology 2015-06-19 Philipp J. Albert , Ulrich S. Schwarz

Atomically thin 2-dimensional heterostructures are a promising, novel class of materials with groundbreaking properties. The possiblity of choosing the many constituent components and their proportions allows optimizing these materials to…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Petri Hirvonen , Vili Heinonen , Haikuan Dong , Zheyong Fan , Ken R. Elder , Tapio Ala-Nissila

A hallmark of meso-scale interfacial fluids is the multi-faceted, scale-dependent interfacial energy, which often manifests different characteristics across the molecular and continuum scale. The multi-scale nature imposes a challenge to…

Computational Physics · Physics 2023-02-22 Pei Ge , Linfeng Zhang , Huan Lei

Coarse-grained (CG) molecular dynamics enables the study of biological processes at temporal and spatial scales that would be intractable at an atomistic resolution. However, accurately learning a CG force field remains a challenge. In this…

Given the piecewise approach to modeling intermolecular interactions for force fields, they can be difficult to parameterize since they are fit to data like total energies that only indirectly connect to their separable functional forms.…

Chemical Physics · Physics 2019-07-30 A. K. Das , L. Urban , I. Leven , M. Loipersberger , A. Aldossary , M. Head-Gordon , T. Head-Gordon

The most popular and universally predictive protein simulation models employ all-atom molecular dynamics (MD), but they come at extreme computational cost. The development of a universal, computationally efficient coarse-grained (CG) model…

Heterostructured (HS) materials exhibit excellent mechanical properties, combining high strength and significant ductility. Hetero-deformation-induced (HDI) hardening and strain de-localization are key to their strength-ductility synergy.…

Materials Science · Physics 2025-12-03 Yukai Xiong , Jianfeng Zhao , Jinling Liu , Jie Wang , Michael Zaiser , Xu Zhang

Accurate modelling of electrostatic interactions and charge transfer is fundamental to computational chemistry, yet most machine learning interatomic potentials (MLIPs) rely on local atomic descriptors that cannot capture long-range…

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

This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting system leads to complex patterns involving a separation into…

Analysis of PDEs · Mathematics 2024-10-02 Harald Garcke , Kei Fong Lam , Robert Nürnberg , Andrea Signori

We present a new framework for coarse-graining molecular dynamics models for crystalline solids. The reduction method is based on a Galerkin projection to a subspace, whose dimension is much smaller than that of the full atomistic model.…

Numerical Analysis · Mathematics 2012-10-17 Xiantao Li

Developing accurate and efficient coarse-grained representations of proteins is crucial for understanding their folding, function, and interactions over extended timescales. Our methodology involves simulating proteins with molecular…

Biomolecules · Quantitative Biology 2023-10-11 Carles Navarro , Maciej Majewski , Gianni de Fabritiis

Phase-field methods offer a versatile computational framework for simulating large-scale morphological evolution. However, the applicability and predictability of phase-field models are inherently limited by their ad hoc nature, and there…

Materials Science · Physics 2025-10-30 Jaehyeok Jin , David R. Reichman

In this paper, we examine how to build coarse-grain transport models consistently from the kinetic to fluid regimes. The internal energy of the gas particles is described through a state-to-state approach. A kinetic equation allows us to…

Fluid Dynamics · Physics 2021-03-15 Erik Torres , Georgios Bellas-Chatzigeorgis , Thierry E. Magin

Shape constraints (such as non-negativity, monotonicity, convexity) play a central role in a large number of applications, as they usually improve performance for small sample size and help interpretability. However enforcing these shape…

Machine Learning · Statistics 2020-10-20 Pierre-Cyril Aubin-Frankowski , Zoltan Szabo

This paper presents a phase-field model for simulating the three-dimensional deformation of vesicle membranes, incorporating area-difference elasticity, with constraints on bulk volume and surface area. We develop efficient numerical…

Numerical Analysis · Mathematics 2025-11-19 Yihong Liang , Emine Celiker , Ping Lin

Fast directional solidification during Laser Additive Manufacturing (LAM) produces a complex microstructure in nickel-based superalloys, comprising columnar grains with cellular sub-grain structures and carbides. Using non-destructive…

The unfolding of molecular complexes or biomolecules under the influence of external mechanical forces can routinely be simulated with atomistic resolution. To obtain a match of the characteristic time scales with those of experimental…

Soft Condensed Matter · Physics 2024-07-17 Marco Oestereich , Jürgen Gauss , Gregor Diezemann

We construct a coarse-grained (CG) model for dipalmitoylphosphatidylcholine (DPPC)/cholesterol bilayers and apply it to large-scale simulation studies of lipid membranes. Our CG model is a two-dimensional representation of the membrane,…

Soft Condensed Matter · Physics 2009-11-10 Teemu Murtola , Emma Falck , Michael Patra , Mikko Karttunen , Ilpo Vattulainen

The large time and length scales and, not least, the vast number of particles involved in industrial-scale simulations inflate the computational costs of the Discrete Element Method (DEM) excessively. Coarse grain models can help to lower…

Computational Physics · Physics 2017-05-11 Daniel Queteschiner , Thomas Lichtenegger , Simon Schneiderbauer , Stefan Pirker