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Biological cells can actively tune their intracellular architecture according to their overall shape. Here we explore the rheological implication of such coupling in a minimal model of a dense cellular material where each cell exerts an…

Soft Condensed Matter · Physics 2022-04-13 Shao-Zhen Lin , Matthias Merkel , Jean-François Rupprecht

Hybrid modeling provides an effective solution to cope with multiple time scales dynamics in systems biology. Among the applications of this method, one of the most important is the cell cycle regulation. The machinery of the cell cycle,…

Computational Engineering, Finance, and Science · Computer Science 2013-09-05 Vincent Noël , Sergey Vakulenko , Ovidiu Radulescu

Animal cells in tissues are supported by biopolymer matrices, which typically exhibit highly nonlinear mechanical properties. While the linear elasticity of the matrix can significantly impact cell mechanics and functionality, it remains…

Collective cell migration contributes to embryogenesis, wound healing and tumor metastasis. Cell monolayer migration experiments help understanding what determines the movement of cells far from the leading edge. Inhibiting cell…

Biological Physics · Physics 2018-03-26 S. Tlili , E. Gauquelin , B. Li , O. Cardoso , B. Ladoux , H. Delanoë-Ayari , F. Graner

This letter is concerned with asymptotic analysis of a PDE model for motility of a eukaryotic cell on a substrate. This model was introduced in [1], where it was shown numerically that it successfully reproduces experimentally observed…

Analysis of PDEs · Mathematics 2016-04-12 Leonid Berlyand , Mykhailo Potomkin , Volodymyr Rybalko

In the context of cell motility modelling and more particularly related to the Filament Based Lamelipodium Model [Manhart et al 2015 & 2017], this work deals with a rigorous mathematical proof of convergence between solutions of two…

Analysis of PDEs · Mathematics 2020-05-20 Vuk Milisic

We propose a novel mechanism of cell motility, which relies on the coupling of actin polymerization at the cell membrane to geometric confinement. We consider a polymerizing viscoelastic cytoskeletal gel confined in a narrow channel, and…

Soft Condensed Matter · Physics 2009-02-13 R. J. Hawkins , M. Piel , G. Faure-Andre , A. M. Lennon-Dumenil , J. F. Joanny , J. Prost , R. Voituriez

Bridging the gap between atomistic detail and continuum mechanics is a central challenge in modeling biological membranes, particularly for mesoscopic phenomena spanning large length and time scales. In this work, we introduce a new,…

Soft Condensed Matter · Physics 2026-03-02 Pietro Sillano , Siewert-Jan Marrink , Timon Idema

Living cells establish long-range orientational order through collective alignment, giving rise to topological defects whose functional relevance is increasingly recognized in tissue organization and morphogenesis. Engineered topographical…

Soft Condensed Matter · Physics 2025-12-01 Prasoon Awasthi , Aniruddh Murali , Ellen Juel Pørtner , Adam Cohen Simonsen , Francesca Serra

This paper investigates cells proliferation dynamics in small tumor cell aggregates using an individual based model (IBM). The simulation model is designed to study the morphology of the cell population and of the cell lineages as well as…

There are numerous scenarios in which populations of cells migrate in crowded environments. Typical examples include wound healing, cancer growth and embryo development. In these crowded environments cells are able to interact with each…

Cell Behavior · Quantitative Biology 2019-07-03 Christian A. Yates , George Chappelle

The adhesive behaviour of biological attachment structures such as spider web anchorages is usually studied using single or multiple peeling models involving "tapes", i.e. one-dimensional contacts elements. This is an oversimplification for…

Computational Physics · Physics 2020-03-18 Daniele Liprandi , Federico Bosia , Nicola M. Pugno

We investigate micro-to-macroscopic derivations in two models of living cells, in presence to cell-cell adhesive interactions. We rigorously address two PDE-based models, one featuring non-local terms and another purely local, as a a result…

Probability · Mathematics 2016-01-21 Mikhail Neklyudov , Dario Trevisan

We present a single, unified, multi-scale model to study the attachment\detachment dynamics of two deforming, near spherical cells, coated with binding ligands and subject to a slow, homogeneous shear flow in a viscous fluid medium. The…

Cell Behavior · Quantitative Biology 2015-04-23 Sarthok Sircar , Anthony J. Roberts

We study a generic model for the polarisation and motility of self-propelled soft objects, biological cells or biomimetic systems, interacting with a viscous substrate. The active forces generated by the cell on the substrate are modelled…

Soft Condensed Matter · Physics 2015-06-23 M. Leoni , P. Sens

Mammalian cell polarization and motility are important processes involved in many physiological and pathological phenomena, such as embryonic development, wound healing, and cancer metastasis. The traditional view of mammalian cell motility…

Soft Condensed Matter · Physics 2025-03-11 Winfried Schmidt , Walter Zimmermann , Chaouqi Misbah , Alexander Farutin

We study the vertex model for epithelial tissue mechanics extended to include coupling between the cell shapes and tensions in cell-cell junctions. This coupling represents an active force which drives the system out of equilibrium and…

Soft Condensed Matter · Physics 2022-12-22 Jan Rozman , Rastko Sknepnek , Julia M. Yeomans

We suggest a 3D phase field model to describe 3D cell spreading on a flat substrate. The model is a simplified version of a minimal model that was developed in [1]. Our model couples the order parameter $u$ with 3D polarization…

Biological Physics · Physics 2021-06-25 Mohammad Abu Hamed , Alexander A. Nepomnyashchy

The tensile force along a cylindrical lipid bilayer tube is proportional to the membrane's bending modulus and inversely proportional to the tube radius. We show that this relation, which is experimentally exploited to measure bending…

Soft Condensed Matter · Physics 2007-05-23 Vagelis A. Harmandaris , Markus Deserno

Cell competition in multicellular organisms has been shown to play a critical role during the development of organisms, cancer progression, and in the establishment and maintenance of tissue homeostasis. Various mechanisms of cell…

Biological Physics · Physics 2025-10-27 Hossein Nemati , Saskia Jacoba Elisabeth Suijkerbuijk , Joost de Graaf