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A computational tool for coarse-graining nonlinear systems of ordinary differential equations in time is discussed. Three illustrative model examples are worked out that demonstrate the range of capability of the method. This includes the…

Numerical Analysis · Mathematics 2017-11-23 Sabyasachi Chatterjee , Amit Acharya , Zvi Artstein

I briefly review some concepts related to coarse-graining methods for the dynamics of soft matter systems and argue that such schemes will almost always need to telescope down the physical hierarchy of time-scales to a more compressed, but…

Soft Condensed Matter · Physics 2010-01-11 Ard A. Louis

Finding coarse-grained, low-dimensional descriptions is an important task in the analysis of complex, stochastic models of gene regulatory networks. This task involves (a) identifying observables that best describe the state of these…

Quantitative Methods · Quantitative Biology 2015-06-26 Radek Erban , Thomas A. Frewen , Xiao Wang , Timothy C. Elston , Ronald Coifman , Boaz Nadler , Ioannis G. Kevrekidis

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…

Coarse graining (CG) is an important task for efficient modeling and simulation of complex multi-scale systems, such as the conformational dynamics of biomolecules. This work presents a projection-based coarse-graining formalism for general…

Computational Physics · Physics 2026-05-28 Vahid Nateghi , Lara Neureither , Selma Moqvist , Carsten Hartmann , Simon Olsson , Feliks Nüske

Bottom-up coarse-grained (CG) models proved to be essential to complement and sometimes even replace all-atom representations of soft matter systems and biological macromolecules. The development of low-resolution models takes the moves…

Soft Condensed Matter · Physics 2024-06-13 Marco Giulini , Raffaele Fiorentini , Luca Tubiana , Raffaello Potestio , Roberto Menichetti

Macromolecular and biomolecular folding landscapes typically contain high free energy barriers that impede efficient sampling of configurational space by standard molecular dynamics simulation. Biased sampling can artificially drive the…

Biological Physics · Physics 2018-11-01 Wei Chen , Andrew L Ferguson

Identifying the relevant coarse-grained degrees of freedom in a complex physical system is a key stage in developing powerful effective theories in and out of equilibrium. The celebrated renormalization group provides a framework for this…

Statistical Mechanics · Physics 2024-11-27 Doruk Efe Gökmen , Zohar Ringel , Sebastian D. Huber , Maciej Koch-Janusz

Data based materials science is the new promise to accelerate materials design. Especially in computational materials science, data generation can easily be automatized. Usually, the focus is on processing and evaluating the data to derive…

Materials Science · Physics 2022-04-28 Martin Kroll , Timo Schmalofski , Holger Dette , Rebecca Janisch

Studying the conformations involved in the dimerization of cadherins is highly relevant to understand the development of tissue and its failure, which is associated with tumors and metastases. Experimental techniques, like X-ray…

Biomolecules · Quantitative Biology 2020-02-26 S. Terzoli , G. Tiana

Machine learning promises to deliver powerful new approaches to neutron scattering from magnetic materials. Large scale simulations provide the means to realise this with approaches including spin-wave, Landau Lifshitz, and Monte Carlo…

Computational Physics · Physics 2020-11-12 Anjana M. Samarakoon , D. Alan Tennant

Molecular Dynamics simulations can help scientists to gather valuable insights for physical processes on an atomic scale. This work explores various techniques for SIMD vectorization to improve the pairwise force calculation between…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-04 Luis Gall , Samuel James Newcome , Fabio Alexander Gratl , Markus Mühlhäußer , Manish Kumar Mishra , Hans-Joachim Bungartz

Machine learning techniques not only offer efficient tools for modelling dynamical systems from data, but can also be employed as frontline investigative instruments for the underlying physics. Nontrivial information about the original…

Data Analysis, Statistics and Probability · Physics 2021-02-24 Francesco Borra , Marco Baldovin

A brief review of modeling and simulation methods for a study of polymers at interfaces is provided. When studying truly multiscale problems as provided by realistic polymer systems, coarse graining is practically unavoidable. In this…

Soft Condensed Matter · Physics 2009-10-19 Fathollah Varnik , Kurt Binder

We propose a dynamic coarse-graining (CG) scheme for mapping heterogeneous polymer fluids onto extremely CG models in a dynamically consistent manner. The idea is to use as target function for the mapping a wave-vector dependent mobility…

Soft Condensed Matter · Physics 2021-05-26 Bing Li , Kostas Daoulas , Friederike Schmid

In recent years, a few multiple-resolution modelling strategies have been proposed, in which functionally relevant parts of a biomolecule are described with atomistic resolution, while the remainder of the system is concurrently treated…

Soft Condensed Matter · Physics 2023-01-20 Raffaele Fiorentini , Thomas Tarenzi , Raffaello Potestio

We propose a novel and systematic method for coarse-graining oscillator networks described by phase equations. Our coarse-graining method enables us to obtain the closed coarse-grained equations for a few effective eigenmodes, which is…

Adaptation and Self-Organizing Systems · Physics 2013-11-06 Yuki Izumida , Hiroshi Kori

The distances over which biological molecules and their complexes can function range from a few nanometres, in the case of folded structures, to millimetres, for example during chromosome organization. Describing phenomena that cover such…

Soft Condensed Matter · Physics 2011-09-28 Changbong Hyeon , D. Thirumalai

Can complex engineered and biological networks be coarse-grained into smaller and more understandable versions in which each node represents an entire pattern in the original network? To address this, we define coarse-graining units (CGU)…

Molecular Networks · Quantitative Biology 2009-11-10 Shalev Itzkovitz , Reuven Levitt , Nadav Kashtan , Ron Milo , Michael Itzkovitz , Uri Alon

The accuracy and efficiency of a coarse-grained (CG) force field are pivotal for high-precision molecular simulations of large systems with complex molecules. We present an automated mapping and optimization framework for molecular…

Computational Physics · Physics 2024-08-14 Zhixuan Zhong , Lifeng Xu , Jian Jiang