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The microscopic structure of a plant cell wall is given by cellulose microfibrils embedded in a cell wall matrix. In this paper we consider a microscopic model for interactions between viscoelastic deformations of a plant cell wall and…

Analysis of PDEs · Mathematics 2016-01-01 Mariya Ptashnyk , Brian Seguin

In Part I of this article we have developed a novel mechanobiological model of a Tissue Engineering process that accounts for the mechanisms through which an isotropic or anisotropic adherence condition regulates the active functions of the…

Numerical Analysis · Mathematics 2015-12-14 Chiara Lelli , Riccardo Sacco , Paola Causin , Manuela T. Raimondi

We introduce a general, efficient method to completely describe the topology of individual grains, bubbles, and cells in three-dimensional polycrystals, foams, and other multicellular microstructures. This approach is applied to a pair of…

Materials Science · Physics 2017-11-10 Emanuel A. Lazar , Jeremy K. Mason , Robert D. MacPherson , David J. Srolovitz

The motion of cells in tissues is an ubiquitous phenomenon. In particular, in monolayered cell colonies in vitro, pronounced collective behavior with swirl-like motion has been observed deep within a cell colony, while at the same time, the…

Biological Physics · Physics 2024-06-03 Debarati Sarkar , Gerhard Gompper , Jens Elgeti

We formulate thermodynamically consistent coarse-graining procedures for molecular systems undergoing thermally and photo-induced transitions: starting from elementary vibronic transitions, we derive effective photo-isomerization reactions…

Statistical Mechanics · Physics 2025-10-08 Francesco Avanzini , Massimiliano Esposito , Emanuele Penocchio

Biological systems exhibit processes on a wide range of time and length scales. This work demonstrates that models, wherein the interaction between system constituents is captured by algebraic operations, inherently allow for successive…

Molecular Networks · Quantitative Biology 2019-08-16 Dimitri Loutchko

We develop a phenomenological coarse--graining procedure for activity in a large network of neurons, and apply this to recordings from a population of 1000+ cells in the hippocampus. Distributions of coarse--grained variables seem to…

Neurons and Cognition · Quantitative Biology 2019-10-30 Leenoy Meshulam , Jeffrey L. Gauthier , Carlos D. Brody , David W. Tank , William Bialek

We develop coarse-grained particle approaches for studying the elastic mechanics of vesicles with heterogeneous membranes having phase-separated domains. We perform simulations both of passive shape fluctuations and of active systems where…

Soft Condensed Matter · Physics 2023-02-28 David A. Rower , Paul J. Atzberger

We investigate the properties of membranes under tension by Monte-Carlo simulations of a generic coarse-grained model for lipid bilayers. We give a comprising overview of the behavior of several membrane characteristics, such as the area…

Biological Physics · Physics 2010-03-17 Jörg Neder , Beate West , Peter Nielaba , Friederike Schmid

Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shape and function. Here, we take a quantitative approach…

Tissues and Organs · Quantitative Biology 2023-02-07 Carles Falcó , Daniel J. Cohen , José A. Carrillo , Ruth E. Baker

In biology, cells undergo deformations under the action of flow caused by the fluid surrounding them. These flows lead to shape changes and instabilities that have been explored in detail for single component vesicles. However, cell…

Fluid Dynamics · Physics 2025-10-15 Anirudh Venkatesh , Vivek Narsimhan

We present a stochastic phase-field model for multicomponent lipid bilayers that explicitly accounts for the quasi-two-dimensional hydrodynamic environment unique to a thin fluid membrane immersed in aqueous solution. Dynamics over a wide…

Soft Condensed Matter · Physics 2011-05-26 Brian A. Camley , Frank L. H. Brown

We propose a simple continuum model to interpret the shearing motion of dense, dry and cohesion-less granular media. Compressibility, dilatancy and Coulomb-like friction are the three basic ingredients. The granular stress is split into a…

Materials Science · Physics 2009-11-10 Christophe Josserand , Pierre-Yves Lagree , Daniel Lhuillier

Granular materials segregate by size under shear, and the ability to quantitatively predict the time required to achieve complete segregation is a key test of our understanding of the segregation process. In this paper, we apply the…

Soft Condensed Matter · Physics 2015-05-14 Lindsay B. H. May , Laura A. Golick , Katherine C. Phillips , Michael Shearer , Karen E. Daniels

A molecular-dynamics type simulation method, which is suitable for investigating the dewetting dynamics of thin and viscous liquid layers, is discussed. The efficiency of the method is exemplified by studying a two-parameter depinning-like…

Soft Condensed Matter · Physics 2015-06-22 Botond Tyukodi , Yves Brechet , Zoltan Neda

We present a dynamic coarse-graining technique that allows to simulate the mechanical unfolding of biomolecules or molecular complexes on experimentally relevant time scales. It is based on Markov state models (MSM), which we construct from…

Soft Condensed Matter · Physics 2018-08-17 Fabian Knoch , Ken Schäfer , Gregor Diezemann , Thomas Speck

Cell-based, mathematical modeling of collective cell behavior has become a prominent tool in developmental biology. Cell-based models represent individual cells as single particles or as sets of interconnected particles, and predict the…

Cell Behavior · Quantitative Biology 2019-03-12 Henri B. Wolff , Lance A. Davidson , Roeland M. H. Merks

Structural and thermodynamic consistency of coarse-graining models across multiple length scales is essential for the predictive role of multi-scale modeling and molecular dynamic simulations that use mesoscale descriptions. Our approach is…

Soft Condensed Matter · Physics 2014-07-04 J. McCarty , A. J. Clark , J. Copperman , M. G. Guenza

Epithelial tissues act as barriers and, therefore, must repair themselves, respond to environmental changes and grow without compromising their integrity. Consequently, they exhibit complex viscoelastic rheological behavior where…

Soft Condensed Matter · Physics 2022-10-04 Sijie Tong , Navreeta K. Singh , Rastko Sknepnek , Andrej Kosmrlj

Understanding the structure and dynamics of liquids is pivotal for the study of larger spatiotemporal processes, especially in glass-forming materials at low temperatures. Density scaling, observed in many molecular systems through…

Soft Condensed Matter · Physics 2024-10-29 Jaehyeok Jin , David R. Reichman , Jeppe C. Dyre , Ulf R. Pedersen
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