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Accurate interaction potentials between microscopic components such as colloidal particles or cells are crucial to understanding a range of processes, including colloidal crystallization, bacterial colony formation, and cancer metastasis.…

We present the Multi-Particle-Collision (MPC) dynamics approach to simulate properties of low-dimensional systems. In particular, we illustrate the method for a simple model: a one-dimensional gas of point particles interacting through…

Multiscale models provide a unique tool for studying complex processes that study events occurring at different scales across space and time. In the context of biological systems, such models can simulate mechanisms happening at the…

Quantitative Methods · Quantitative Biology 2024-06-27 Marco Ruscone , Andrea Checcoli , Randy Heiland , Emmanuel Barillot , Paul Macklin , Laurence Calzone , Vincent Noël

Studies on random packing of bidispersive particles have shown that such systems can capture the underlying behavior of more complex phenomena found in physics and materials engineering. In industry, bidispersive particles are used to allow…

Statistical Mechanics · Physics 2020-10-22 Carlos Handrey Araujo Ferraz

There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interconnections, however, remain mostly vague, which…

Dynamical Systems · Mathematics 2023-04-27 Yuri Kozitsky , Krzysztof Pilorz

Three coarse-grained molecular dynamics (MD) models are investigated with the aim of developing and analyzing multiscale methods which use MD simulations in parts of the computational domain and (less detailed) Brownian dynamics (BD)…

Computational Physics · Physics 2015-06-18 Radek Erban

This paper deals with the derivation of a collective model of cell populations out of an individual-based description of the underlying physical particle system. By looking at the spatial distribution of cells in terms of time-evolving…

Mathematical Physics · Physics 2014-11-12 Annachiara Colombi , Marco Scianna , Andrea Tosin

Biological processes involve a variety of spatial and temporal scales. A holistic understanding of many biological processes therefore requires multi-scale models which capture the relevant properties on all these scales. In this manuscript…

Molecular Networks · Quantitative Biology 2015-06-23 Jan Hasenauer , Nick Jagiella , Sabrina Hross , Fabian J. Theis

Particle-in-cell methods couple mesh-based methods for the solution of continuum mechanics problems, with the ability to advect and evolve particles. They have a long history and many applications in scientific computing. However, they have…

Numerical Analysis · Mathematics 2019-09-12 R. Gassmoeller , E. Heien , E. G. Puckett , W. Bangerth

The macroscopic properties of materials that we observe and exploit in engineering application result from complex interactions between physics at multiple length and time scales: electronic, atomistic, defects, domains etc. Multiscale…

Macromolecular complexation leading to coupling of two or more cellular membranes is a crucial step in a number of biological functions of the cell. While other mechanisms may also play a role, adhesion always involves the fluctuations of…

Soft Condensed Matter · Physics 2015-09-02 Timo Bihr , Udo Seifert , Ana-Suncana Smith

From bird flocks and fish schools to migrating cell sheets, collective motion is a ubiquitous biological phenomenon that inspires quantitative modeling through self-propelled particle (SPP) frameworks. Conventional SPP models prescribe…

Statistical Mechanics · Physics 2025-07-15 Y. Kikuchi , M. Iwamoto

Interacting particle systems provide a fundamental framework for modeling collective behavior in biological, social, and physical systems. In many applications, stochastic perturbations are essential for capturing environmental variability…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Su Yang , Weiqi Chu , Panayotis G. Kevrekidis

When granular systems are modeled by frictionless hard spheres, particle-particle collisions are considered as instantaneous events. This implies that while the velocities change according to the collision rule, the positions of the…

Statistical Mechanics · Physics 2011-08-22 Patric Mueller , Thorsten Poeschel

We introduce a particle-based simulation method for granular material in interactive frame rates. We divide the simulation into two decoupled steps. In the first step, a relatively small number of particles is accurately simulated with a…

Graphics · Computer Science 2023-08-04 Alexander Sommer , Ulrich Schwanecke , Elmar Schömer

The biomolecules in and around a living cell -- proteins, nucleic acids, lipids, carbohydrates -- continuously sample myriad conformational states that are thermally accessible at physiological temperatures. Simultaneously, a given…

Biomolecules · Quantitative Biology 2014-07-15 Cameron Mura , Charles E. McAnany

The dynamics of individual colloidal particles in random potential energy landscapes were investigated experimentally and by Monte Carlo simulations. The value of the potential at each point in the two-dimensional energy landscape follows a…

This paper presents a framework to enable a team of heterogeneous mobile robots to model and sense a multiscale system. We propose a coupled strategy, where robots of one type collect high-fidelity measurements at a slow time scale and…

Robotics · Computer Science 2022-03-01 Tahiya Salam , M. Ani Hsieh

The purpose of this review is to analyze the physics at play in particle resuspension in order to bring insights into the rich complexity of this common but challenging concern. Following the more-is-different vision, this is performed by…

Fluid Dynamics · Physics 2023-04-05 Christophe Henry , Jean-Pierre Minier , Sara Brambilla

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry