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We investigate morphologies of proliferating cellular tissues using a newly developed numerical simulation model for mechanical cell division and migration in 2D. The model is applied to a bimodal mixture consisting of stiff cells with a…

Soft Condensed Matter · Physics 2021-05-26 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

A numerical model able to simulate solid-state constrained sintering is presented. The model couples an existing kinetic Monte Carlo (kMC) model for free sintering with a finite element model (FEM) for calculating stresses on a…

Materials Science · Physics 2016-05-10 R. Bjørk , H. L. Frandsen , N. Pryds

Collective cell migration is a highly regulated process involved in wound healing, cancer metastasis and morphogenesis. Mechanical interactions among cells provide an important regulatory mechanism to coordinate such collective motion.…

Soft Condensed Matter · Physics 2022-06-08 Xingbo Yang , Dapeng Bi , Michael Czajkowski , Matthias Merkel , M. Lisa Manning , M. Cristina Marchetti

Cell membranes separate the cell interior from the external environment. They are constituted by a variety of lipids; their composition determines the dynamics of membrane proteins and affects the ability of the cells to adapt. Even though…

Quantitative Methods · Quantitative Biology 2018-10-04 Nicola Galvanetto

Understanding mechanosensitivity, i.e. how cells sense the stiffness of their environment is very important, yet there is a fundamental difficulty in understanding its mechanism: to measure an elastic modulus one requires two points of…

Cell Behavior · Quantitative Biology 2015-06-17 Matteo Escude , Michelle K. Rigozzi , Eugene M. Terentjev

The shear-induced deformation of a capsule with a stiff nucleus, a model of eukaryotic cells, is studied numerically. The membrane of the cell and of its nucleus are modelled as a thin and impermeable elastic material obeying a Neo-Hookean…

Fluid Dynamics · Physics 2017-05-29 Arash Alizad Banaei , Jean-Christophe Loiseau , Iman Lashgari , Luca Brandt

The onset of nonlinear effects in metals, such as plasticity and damage, is strongly influenced by the heterogeneous stress distribution at the grain level. This work is devoted to studying the local stress distribution of shear stresses…

Materials Science · Physics 2022-07-26 Flavia Gehrig , Daniel Wicht , Maximilian Krause , Thomas Böhlke

Migratory and tissue resident cells exhibit highly branched morphologies to perform their function and to adapt to the microenvironment. Immune cells, for example, display transient branched shapes while exploring the surrounding tissues.…

Biological Physics · Physics 2024-04-02 Jiayi Liu , Javier Boix-Campos , Jonathan E. Ron , Johan M. Kux , Nir S. Gov , Pablo J. Sáez

Networks of stiff fibers govern the elasticity of biological structures such as the extracellular matrix of collagen. These networks are known to stiffen nonlinearly under shear or extensional strain. Recently, it has been shown that such…

Soft Condensed Matter · Physics 2024-02-01 Sihan Chen , Tomer Markovich , Fred C. MacKintosh

Many of the cell membrane vital functions are achieved by the self-organization of the proteins and biopolymers embedded in it. The protein dynamics are in part determined by its drag. A large number of these proteins can polymerize to form…

Fluid Dynamics · Physics 2023-09-13 Wenzheng Shi , Moslem Moradi , Ehssan Nazockdast

We investigate the dynamics of cellular solidification patterns using three-dimensional phase-field simulations. The cells can organize into stable hexagonal patterns or exhibit unsteady evolutions. We identify the relevant secondary…

Materials Science · Physics 2009-11-07 Mathis Plapp , Marcus Dejmek

Cell stiffness is a key determinant of how cells deform, migrate, and adapt to mechanically restrictive environments, yet existing single-cell stiffness assays remain difficult to combine with molecular analysis and downstream functional…

Cell Behavior · Quantitative Biology 2026-04-02 Yuhao Zhang , Luyao Zhao , Zhengfu Huang , Kenan Song , Xianqiao Wang , Xianyan Chen , Jin Xie , Yiping Zhao , He Li , Leidong Mao , Yong Teng , Yang Liu

A steady shear flow can drive supercooled liquids into a non-equilibrium state. Using molecular dynamics simulations under steady shear flow superimposed with oscillatory shear strain for a probe, non-equilibrium mechanical responses are…

Soft Condensed Matter · Physics 2012-04-25 Hideyuki Mizuno , Ryoichi Yamamoto

We study the enzymatic degradation of an elastic fiber under tension using an an isotropic random-walk model, coupled with binding-unbinding reactions that weaken the fiber. The fiber is represented by a chain of elastic springs in series,…

Statistical Mechanics · Physics 2009-10-08 Ascânio D. Araújo , Arnab Majumdar , Harikrishnan Parame swaran , Béla Suki

The transient response of model hard sphere glasses is examined during the application of steady rate start-up shear using Brownian Dynamics (BD) simulations, experimental rheology and confocal microscopy. With increasing strain the glass…

Cells exert traction forces on compliant substrates and can induce surface instabilities that appear as characteristic wrinkling patterns. Here, we develop a mechanical description of cell-induced wrinkling on soft substrates using a thin…

Soft Condensed Matter · Physics 2026-03-16 Aleksandra Ardaševa , Varun Venkatesh , Daiki Matsunaga , Shinji Deguchi , Amin Doostmohammadi

In tissue engineering, 3D scaffolds and chemical treatments are often used for providing a cell-friendly surface for improving cell adhesion and tissue growth. Indeed, the cell adhesion degree can be controlled by physical-chemical changes…

In the emerging field of 3D bioprinting, cell damage due to large deformations is considered a main cause for cell death and loss of functionality inside the printed construct. Those deformations, in turn, strongly depend on the…

We investigate morphologies of proliferating cellular tissue using a newly developed numerical simulation model for mechanical cell division. The model reproduces structures of simple multi-cellular organisms via simple rules for selective…

Soft Condensed Matter · Physics 2018-11-20 Pranav Madhikar , Jan Åström , Björn Baumeier , Mikko Karttunen

Disordered network materials abound in both nature and synthetic situations while rigorous analysis of their nonlinear mechanical behaviors still is very challenging. The purpose of this paper is to connect the mathematical framework of…

Optimization and Control · Mathematics 2023-10-04 Ivan Gudoshnikov , Yang Jiao , Oleg Makarenkov , Duyu Chen