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Inspired from human cognition, machine learning systems are gradually revealing advantages of sparser and more modular architectures. Recent work demonstrates that not only do some modular architectures generalize well, but they also lead…

Machine Learning · Computer Science 2022-06-07 Sarthak Mittal , Yoshua Bengio , Guillaume Lajoie

We review a few representative examples of granular experiments or models where phase separation, accompanied by domain coarsening, is a relevant phenomenon. We first elucidate the intrinsic non-equilibrium, or athermal, nature of granular…

Statistical Mechanics · Physics 2015-04-29 Andrea Baldassarri , Andrea Puglisi , Alessandro Sarracino

Biological networks are a very convenient modelling and visualisation tool to discover knowledge from modern high-throughput genomics and postgenomics data sets. Indeed, biological entities are not isolated, but are components of complex…

Quantitative Methods · Quantitative Biology 2018-05-07 Alex White , Matthieu Vignes

In this review we summarize theoretical progress in the field of active matter, placing it in the context of recent experiments. Our approach offers a unified framework for the mechanical and statistical properties of living matter:…

Soft Condensed Matter · Physics 2012-07-13 M. C. Marchetti , J. -F. Joanny , S. Ramaswamy , T. B. Liverpool , J. Prost , Madan Rao , R. Aditi Simha

Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

We introduce a simulation strategy to consistently couple continuum biomembrane dynamics to the motion of discrete biological macromolecules residing within or on the membrane. The methodology is used to study the diffusion of integral…

Soft Condensed Matter · Physics 2009-05-26 Ali Naji , Paul J. Atzberger , Frank L. H. Brown

Intracellular protein patterns govern essential cellular functions by dynamically redistributing proteins between membrane-bound and cytosolic states, conserving their total numbers. This review presents a theoretical framework for…

Biological Physics · Physics 2025-12-16 Erwin Frey , Henrik Weyer

We study nucleation dynamics of Ising model in a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in real-world networks. By introducing a variant of a recently developed forward flux…

Statistical Mechanics · Physics 2015-05-27 Hanshuang Chen , Zhonghuai Hou

Digestion in the small intestine is the result of complex mechanical and biological phenomena which can be modelled at different scales. In a previous article, we introduced a system of ordinary differential equations for describing the…

Analysis of PDEs · Mathematics 2011-09-12 Masoomeh Taghipoor , Guy Barles , Christine Georgelin , Jean-René Licois , Philippe Lescoat

The objective of this work is the investigation of complexity, asymmetry, stochasticity and non-linearity of the financial and economic systems by using the tools of statistical mechanics and information theory. More precisely, this thesis…

Statistical Finance · Quantitative Finance 2024-08-30 Rubina Zadourian

Numerical computations have become a pillar of all modern quantitative sciences. Any computation involves modeling--even if often this step is not made explicit--and any model has to neglect details while still being physically accurate.…

Statistical Mechanics · Physics 2022-11-08 Thomas Speck

A key overall goal of biomolecular simulations is the characterization of "mechanism" -- the pathways through configuration space of processes such as conformational transitions and binding. Some amount of heterogeneity is intrinsic to the…

Chemical Physics · Physics 2018-10-25 Ernesto Suárez , Daniel M. Zuckerman

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

Coarse graining techniques play an essential role in accelerating molecular simulations of systems with large length and time scales. Theoretically grounded bottom-up models are appealing due to their thermodynamic consistency with the…

Computational Physics · Physics 2022-11-01 Blake R. Duschatko , Jonathan Vandermause , Nicola Molinari , Boris Kozinsky

Considering the flexibility and applicability of Bayesian modeling, in this work we revise the main characteristics of two hierarchical models in a regression setting. We study the full probabilistic structure of the models along with the…

Methodology · Statistics 2021-10-22 Juan Sosa , Jeimy Aristizabal

We present a simple physical model that recapitulates several features of biological evolution, while being based only on thermally-driven attachment and detachment of elementary building blocks. Through its dynamics, this model samples a…

Populations and Evolution · Quantitative Biology 2025-07-11 Guy Bunin , Olivier Rivoire

Granular intrusions, such as dynamic impact or wheel locomotion, are complex multiphase phenomena where the grains exhibit solid-like and fluid-like characteristics together with an ejected gas-like phase. Despite decades of modeling…

Soft Condensed Matter · Physics 2021-01-25 Shashank Agarwal , Andras Karsai , Daniel I Goldman , Ken Kamrin

The two most commonly used methods to model the behaviour of granular flows are discrete element and continuum mechanics simulations. These approaches concentrate on the deterministic description of particle or bulk material motion. Unlike…

Soft Condensed Matter · Physics 2025-01-15 Benjy Marks , Shivakumar Athani , Itai Einav

The global population increase leads to a high food demand, and to reach this target products such as pesticides are needed to protect the crops. Research is focusing on the development of new products that can be less harmful to the…

Quantitative Methods · Quantitative Biology 2025-02-13 Enrico Sangoi , Federica Cattani , Faheem Padia , Federico Galvanin

This essay provides a critical overview of the mathematical kinetic theory of active particles, which is used to model and study collective systems consisting of interacting living entities, such as those involved in behavior and evolution.…

Physics and Society · Physics 2025-10-17 Marina Dolfin , Leone Leonida